%PDF-1.4 % 1 0 obj << /D [ 2 0 R /XYZ 117.828 740.002 null ] >> endobj 3 0 obj << /D [ 4 0 R /XYZ 117.828 740.002 null ] >> endobj 5 0 obj << /D [ 6 0 R /XYZ 117.828 740.002 null ] >> endobj 7 0 obj << /D [ 8 0 R /XYZ 117.828 740.002 null ] >> endobj 9 0 obj << /D [ 10 0 R /XYZ 117.828 740.002 null ] >> endobj 11 0 obj << /D [ 12 0 R /XYZ 117.828 740.002 null ] >> endobj 13 0 obj << /D [ 14 0 R /XYZ 117.828 740.002 null ] >> endobj 15 0 obj << /D [ 16 0 R /XYZ 117.828 740.002 null ] >> endobj 17 0 obj << /D [ 18 0 R /XYZ 117.828 740.002 null ] >> endobj 19 0 obj << /D [ 20 0 R /XYZ 117.828 740.002 null ] >> endobj 21 0 obj << /D [ 22 0 R /XYZ 117.828 740.002 null ] >> endobj 23 0 obj << /D [ 24 0 R /XYZ 117.828 740.002 null ] >> endobj 25 0 obj << /D [ 26 0 R /XYZ 117.828 740.002 null ] >> endobj 27 0 obj << /D [ 28 0 R /XYZ 117.828 740.002 null ] >> endobj 29 0 obj << /D [ 30 0 R /XYZ 117.828 740.002 null ] >> endobj 31 0 obj << /D [ 30 0 R /XYZ 117.828 715.095 null ] >> endobj 32 0 obj << /Names [ (Doc-Start) 31 0 R (page.1) 29 0 R (page.10) 27 0 R (page.11) 25 0 R (page.12) 23 0 R (page.13) 21 0 R (page.14) 19 0 R (page.15) 17 0 R (page.2) 15 0 R (page.3) 13 0 R (page.4) 11 0 R (page.5) 9 0 R (page.6) 7 0 R (page.7) 5 0 R (page.8) 3 0 R (page.9) 1 0 R ] /Limits [ (Doc-Start) (page.9) ] >> endobj 33 0 obj << /Kids [ 32 0 R ] >> endobj 34 0 obj << /Length1 827 /Length2 1029 /Length3 532 /Length 1611 /Filter /FlateDecode >> stream xRiTg=V~RlI&H@ ((L02d TԂZ[]p" *UGTԂ`kG}^)*aq@,rlm}%1B%FI(ww.q f ( 2Q$@5 *2 !B5&GU#xKQr CԘ2v>b"A5P  LNTb*{ؙ*ѴBj eQfeUAp5x@PZj,Dh,E?7h,FZёPicVH"Ma E)Q(#yR5"^'9q#E("C qGb_15a A8z_}#櫒 L·[kRIjJCW=#&οw+I윾݅ҦWb_qpOIO> hKQ9W V] vsDZekCSۖGgǷ O6+sO;*%Z $UOFMa]˭OX.: ϊ,K6YЗzcp!-\Pxf/^;g wmY' a ^ٜH?r;uPPŵ5h-? ӜimE16s8.aW*[&Joe>+ `.g>L*ăW}2s(Ղԑ4ʉ!iZ 3ګ-tK𦴶?ޫ=hBZYP>lS\bjLN{v 6NR3܎ĤPA|w.sط fUZ'3 x[ѯl\/N֟e(8)ͷrc#UrmJGoqYcJ)4S q`W]M9o U/K JSև) 9Q5IĢags endstream endobj 35 0 obj << /Type /Encoding /Differences [ 0 /.notdef 3 /square 4 /.notdef ] >> endobj 36 0 obj /UIDTIA+MSAM10 endobj 37 0 obj << /Ascent 692 /ItalicAngle 0 /Descent 0 /XHeight 431 /Flags 4 /Type /FontDescriptor /CapHeight 550 /StemV 40 /FontBBox [ 8 -463 1331 1003 ] /FontName 36 0 R /FontFile 34 0 R >> endobj 38 0 obj [ 777.8 ] endobj 39 0 obj << /Widths 38 0 R /FirstChar 3 /LastChar 3 /FontDescriptor 37 0 R /Subtype /Type1 /Type /Font /BaseFont 36 0 R /Encoding 35 0 R >> endobj 40 0 obj << /Type /Metadata /Length 15003 /Subtype /XML >> stream uuid:89989740B25B11DDA936F437E6201D80 uuid:89989741B25B11DDA936F437E6201D80 uuid:84D7E452B25B11DDA936F437E6201D80 uuid:84D7E451B25B11DDA936F437E6201D80 2008-11-12T14:50:11+05:30 2008-11-12T14:50:11+05:30 2008-11-12T14:50:11+05:30 Adobe Photoshop CS2 Macintosh image/epsf 1 Generic Gray Profile 1 2000000/10000 2000000/10000 2 256,257,258,259,262,274,277,284,530,531,282,283,296,301,318,319,529,532,306,270,271,272,305,315,33432;1AB804D660E6E647E5158BFA12FDAFB9 550 375 -1 36864,40960,40961,37121,37122,40962,40963,37510,40964,36867,36868,33434,33437,34850,34852,34855,34856,37377,37378,37379,37380,37381,37382,37383,37384,37385,37386,37396,41483,41484,41486,41487,41488,41492,41493,41495,41728,41729,41730,41985,41986,41987,41988,41989,41990,41991,41992,41993,41994,41995,41996,42016,0,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,30;CAA683E9D11F4DDB60C6A4B3EF8AF839 endstream endobj 41 0 obj << /Producer (Acrobat Distiller 7.0.5 for Macintosh) /Creator (Adobe Photoshop Version 9.0x196) /CreationDate (D:20081112145024+05'30') /Title (gr2.eps) /ModDate (D:20081112145024+05'30') >> endobj 42 0 obj << /OP false /SM 0.02 /SA false /Type /ExtGState /OPM 1 /op false >> endobj 43 0 obj << /Type /XObject /Filter /FlateDecode /BitsPerComponent 8 /Length 17974 /Subtype /Image /Width 550 /Metadata 40 0 R /ColorSpace /DeviceGray /Height 375 >> stream H pT7 PHX@T@yI GJa)c0҂@y^^1 c{]v7Ns~n;/={])@nXOS#/!P*XfGD!\H ;(倌ilNMta.^"Eѳ|pq}H1G-!oh41c4?9=ܷ%Dg+m5[d#o}!ܷ%T1J0Ʈ13(tW%V;d fA]Z}:ZeM8nSf^+R(0xȌn'͑ aBtzŷ5Ш)J6<L?bGOLB5 :ܰ Nިܴ=& nBad?L'X_&q7 e!žbb'S:"#&SVEmBOʢ~y,t{;N-iVq MQb&Ȏ?Tl"҄[`] 8 =g\Ci[Đ/uvE0o1m2,$M9K@;Z$ #*L7%Dk Zv: 6,(1e`>#9V0%&|E)J厄ȣ|.0DGDm~@J:ܖ^=M[7,o|BYҬwH#%Fc9!,њ~P5!I@JI5'dqQ"QDCǡ> TLGƄ%ʘe&B\BW8Yw$D!kklȪf}<)zmal~Zh*sBо{q{B.'Gיݦ-OZegR -.2ٱ;HB3M9삢mUQ1\ .%8)T-u/0{v92`~ .$xש~@NRUXq" s o3~]wXƚ|O*]k_VBJj3sIlj *׭ωЛb.ؖ4tƯ ?GѪF} PTy_" G8tt}Ra.;F~4ȼ 5^,x1!ph]ί/o1h j~˙33g<|2~ḧNR*%ʻ\ӡ-m?3>_F@΅ls9k|:I5Q83fmCt5-xPTKl4zכRI)h>m[LbYCE@w~xq 'Znpvd ~*k 1KlF-}wqFelc<3dD||aC@}eꐭ}m̯+%T:򻴀$ӍG$G&ؗC5]øq 6hܠ~z-Up蕊uۚLru+RJ*]K|*$Mg5ig~h>*N{ѽ1#_Ť\{_κxI$Jɥmi;ؑ}k&9Ckj3%畅tL%-1ZhB,j2 #.m3[jhh=Bak;mh,hR<Ç2Rv>;~@pTL Ŗ;΢ώ}t.8gΰpm3Ũ~V3^ۜ-Oɱk{fϝB˂8Z]˶{s-;K0y,UkxKKwEe~ 끛:/O>~̻(Y=mLlQO4>z_Pxܭ%`SL7o@11[tl?}mIc܃0~ãtqq8V[Ʃ A"PP#AViZ<(j+X@B<㜽Z{MH=;{=ܳo}+{=Xii(g 7]q}@>p}5.ppܬQլZQ{;b$>Q:~d$MWe6D&ui#$ h8X9MTBܤJ)`i<0r lQ+qoWѫ6|TQ$\n:c]9U}u=i 7N̆i;rVXP6(S}KBܴ+j&}`cҫ^'΄xH%[й\R%̙?3@ *jeO_w!ih6\/:L+U!mxRz^z(J^cY=,IIqZ%\o \5 Q^ba?XNJF(ϛ_V$DzIv WIY5% Ik x@7UoB/hxR=0EH|R 9GXt*hY(JlcF,sU7 >\mphc.B*PH>][TPD#)O*z尋}r6'U12&>VmDc $7>uBgyWIn|0 ^~f D+I~Wݍ;qyX69[%V&F/Ҕ 0;p`cQHzMr|O(~gP!HJFEeq?.^Ҙ?h2B2`n"d +BhAﰏ8芓$- Vv4kxF%r*!q$K2\ވ$' V RrHd%*1u d[ITBHt12qaAѫ$nph y Up/>ړ0?ӱ*1#&븿k$٘B:3*ў؛<:ѴNv HΚ;mͤ\b_VEj\= m*6LX׊8* OM\t,À25':θ}8 yPrOח6N8$}rcy`Ҹ)dP #2R۰CIJ꫾(.E糒͆I%OmY Η1 .h,..)8<_tY,(\E V\(&FtM?dήOG$ O6ukwӣ65 ;dFK{2> A軺 7X2]u~hlnf_RENKk.iE{Hdhvϯ?z'a[>WumB556 xm?䢮[hKB-b=;+E#tΊXjk<'kn6:|:[]]PX.yY/f`Ť6h~avo0":)'6ʜ3.V kz;bb≻nUӮgA˺%aӰ$rEm >tR3\}4F{@GR.ޚ$ k \Ri q/!^ٳi4H#%F<)U{-d͞˂lB{l to>oΪ R:J,e|w{(/p7!<w8+^%E a1A\I@8bR=2?cڞ:pr.Ɨ{Gk{ƶxa,?|w[z~aA6RǞEgfeWoҹxMza7T DzWz&sB;JygFS2yr별a3e~Z -OKܩn{.~66Àogk'?sITҭwzX2b-\.(Ufe~$ܙ^]j8(I+le/᝜r}fW?}qWl؍ՋC B~|@.St{}/(3ǙOS/3 3 կ C 6@4HAhX (R`EBV I9yz 1l629nC?r~IJ1R%;Ќ%vOj5gT0(/{܌zSh+[tޜ{=xoU4ژO=Q?'?)no,%CV ̈́uSVh,)x%`?*ou3JDEro.AcovIFOs 8sjI'["ãhQ^^ӸF:]H'D$Kzvm;3z׋-awݷNKc>{~tۨtZ'wRRTѲi 3w^0Ե@vaZwx&{ܥ{`;\t Ei譼"hÿ/lu {4b<]_/ѹo?S+a|y'bJ&#[e{'0pD`^)_ ̀["w=AJul5QvTJϵ!Mõ=qœ0 NHM>)Y#LuI(?C)QͻckidkYewg/kj=@Q#h#@;2e]G{9_QQfWpneނW:O?ޝ|væ۬CP̙MmܰLS(sU='pJZoT V5l0Fo#= Lr)DPBJ1T3+RD&̀UW&k[nu'4"Ϯ. IL@}͊3զS%J /5<:u)PjHni?;~QT!A8^˄G w>GIH@iGY?@5>y+^@mv:JsN[q0BҰ`-c0 IףěyQSg10Qd"/{<n&kE ๕y q0><+$)Akxtӆn܄*+Ua'p%%^YZThJzh$ӌ(gڱJrD*9y΂u%_̸SJgzY$/XGqxqqdD(޷Dյבmis2$p%%=\T52+kE GJLI:VBDwpAު&?aNaW"k|F6(jg^⢘0l߬f0(UJFnLAe]&Bl P9_n\A JRf!5,_~V*e5{k0 H#D/5Q;dKpN@b!^82%|{ uu1É#}[5CzKR XaS?(T2DJ90 FSBvl+D9ڋni`:k)ǒ<\w?k +> }0awȕ(4z( V6Yh' pe?PJNgJ]\{ Ng҃b{MAAuEQl4%}f%$N^A=8o)c 0P LvgJ59E[.!4M]I'_廗5RL@~%T ֩m7% /`ߡ%ӫOcЃqg.)>N0l/>wair ?uS$زhAULCbJNiOT|RhH\\i-Ys SkGO ^g{Yv$D2Nb z.XKYyVHDΨu%Z_o59l9Pe26vpi&k(rJMdN?]/KaQ"\Ed綹%[09|xVgv%yI'Zϫ2hhR^taBqBbf^T⤙Z}%h-.q|R+(w)??bT:yO0K җ6JC\gǜ-};">*;+F $=bu]bՑe>!PJub!A'p y^҂ Q)>@I)%\⤦ D%03EM@O$ͅ_)%/r"e%$uL6ǖE{W̯.VsJEF M [O/k"Co R̉i Uȕs#[.v>I'RfzfV)($-ۧǝo*)A:puPB4D|")z\_&9h#]aS,MB Y|!]luc@9%SVu}^SpucLDα o;+nJxxȊ<ISs. ~tPPQQ;xR0uPׂZU"AG(2+E_5QUW R4jN:8X  -!IQiR RP@`4A &0TQ ?{{&!KHy޽=w,f2R"'.9BZ@!C迴Y%6R6/*$G#1") 4@

*fY"B*|Zɟ7:r]Y:u;%[qtG.sSUQBh!`0 F?l`k?br30霛Ds(J7!QNƇ., ̬}d R?+ QvSэdeOHw4S gعmb¡|W]CԚё)W1 0Ad BK xcQ acf9 ꆅjW/e{3 c!rz΋ /vۻJL6*@ QL]lҐAҾ(W ư˶vFg#3C-xkKwIE> fX^J$5OB|p!x{A_*.J0vz׿w?4URp %J,2<1ɥ*ěU&R z%i ^w+/_<+¡ i~hIs ^wtQdii^q{`W+-PfA ͨJ!L'p41`Oqiq6V(PdN]h9T_?QBy=9רi譿V@C  g/M:(3%VAyN96 CJ*#)y6NzgbEqy'ӯDjk[ %6{8Cy0(ANY^TD"v&(FaqQ&94KN SXꃴCIs&Ś 'F*-@ل L)c!w|xܢHyV(c*G3YQq>cuAP‰]LOc*Ŋ }\T 4$οrb[jdIK$T!r.f_Cq?I]m^EIX + 6!JH }JNu8)(n;M0N@À0a$ه^Q՜t΋h:JJЀ<_G7"~멾E<ڶ]A[*P6ӢҨ@a?=tZ2+ǚ.kXAb N;b/B)(@`ث JfrhvDk0(ehsQB+e&3g,QZ¤%+Z>oCgppw'կuvq;͆[T"ReGiN{d:JdBd(g$"2$w\&4z )WR5d-&/&#{ˉd5USZ׼P¤R[IM&\6W`w$$C3fy0RgnĆ}i_9d#MU[Ypq"UZQ[SsQ8o hk{4oIS6` J鲰7~ QeJabFO{YͮudkǒTjqa:nh]Aϻx YYccʃ8&f:LLڨ6#ӦIG X.UTIL4uGdj(JE0(&y,r=Kιa}b|[=r `V\L/6>F8.Cq_+Ȉin9;I%DĨKpӳ$>OL\:' W-IXr# ,#?aFcSMG;jwBUcbd^I8<.]fӊm9o1k.@_C6T{AQkakeHƋ>2m[O|UX"3f?L=v̸ǎ3s9x앯~Y]9hph|`))[@4/NxUpK06 fb#%vS6P`?ۊPZ=HkA\<;8q1O0q҄I_ϩe WC |f*hBL=zڂdž]'$2]\cY|Nu_rJ`^{()RyhV}t__=_0@7&I+Lj4T2׀"w\^y!ЃDfŰXrcwXMēmwCҁ4XlI)ԈV5USNQO?HYڝU{a$X4ሹ&oH羷q#L8RhJD -HIӨJ< Jٮ~wDrfM[)f6NE3_aXt!ɻfKN#q{м'n|`A'[|Ķgoz55+J:9;j%Vq?L>V"m@IjE- Qw>kuNZd@Rz0i֔*VexNh8.흃4M-UԘ: 91`!.'W] mj~Dխs;e # 8z@C%o\0| w+%& dzle,S4lc]DEG=3d/ nBU2oR TTH M91*3.}s5,@]);(E_^j}Y\\!wKK{L,9/զ} ^ZtAQb 2#wX"`ҚJu`7NR;s+_]"NaP FF`ljPZwBD1T穀h,={߸زc|Sx3`-Ew\@rhL;KÝ 9*+[K,ϋg_D`kFep;gZ% RDL:R{q(Ww(A1 v|QX闘3sF7'fE]ub Oۧ#a}qHN֬@TPUsDob*.x,(V +βTDKg3%6UN-\y^1}p3<ؼ(hS֬ BSo9,2#Ё JL%0`iD[BG/Ij,W8X({g r+?*RiN*8C+r#63WÃ~3SǐC` W-σUf_"“רT\ʋ NҜ `C@n< FJSxQdJtfFF`ԾN ^fF8!BǬ$)\R`XPa_> qUPvZܻF1Ba5u]`s\:?6翱\Albu!=YTF%8[ mF W;D(H*M J 3FL",.;1BUN ,Sv%:é(gYBURdq0\gXJͦ9; }'Dd5 R[>PA #<:x#z.g=*զh,ose_ubRdRr&1- 凶~4 {(aZ95C`Q)ΉhEɾ'Uj\^ś#wnJA.˴U;%or4n:GIQQ g=,\ Xy˫ (șɏ~c D GziC9ܶ >j Bˋ^xgi‡#M [GHN5} ڐ;L`r0/k~x:H,quD."a0aݮ k0F v^Y;݉YS+D *Z&nxP1J-2?&>EC_j}ile5~}mP"X-̢Sޘ%Bb1OOqC6c]TV%:bڐkHmBl- R19۽EY;$egTz~{dDq\!oc*z`iݙ"Y[ ȇNVƿ &G72JX)~quH^ӓ{|%at@fHqw|ٍ$/j`{D|H K"CiɪS+]Uv9. =t]3'ۀas:gcksq|\Ue+:g_$V\NtTV:m*;IyN.Dm kc]1B*$gY3?fK5bINNZ-f ٚn1&et}kKNiulkZfϥ 9;1>3MxVْ9?lM3[,jS͙k֭O19iqhI,qE퉬Va/ӨIwN2D=->I?kAC&A.G!&;]evp}@;L)ILjbʳݡty=ANqӢI%μBk3뺲9[@w7MVi_tcԷ*/i jJkو*EIt+'+CN`"`ぞi%$ѻˆBr7,yxHd/{ ǚ'&67tK!yix0 GQĢyo23)꣬(!m2{Åq`w0^ ԃsܓ3HL5P%A=P٧uR~ÖB ;;9.}!d #W3IaSh1f;jSNbH*X6fJZ)_?"@f?7.DC6-lJ}ɈȨœ7* 7dVQ٭eF K+4mC!QxX,uD!DY+Ē]1h8PJ|eI|G3kߋ8 K'X%쉊JrH40bLFh~Vv 1-? @K{0h4]'Lҷ/<u>a B\9ArFĈ|cto$X>b5ir5ᎲC/ӴVJ(tqh{ 1 |6~4>M}@#τ%Z .j>) q9aܣW 4rBJxYi9ٮ裠o~t 'oԫ%,5CS4#on wnfIKUk?v76pe0TJe؇y@YMSYZ0Vqan;P>qU拉6ѻ&K>w,wQ9dEbzh km|p/?>51{g  Rx"8a:.H"?zւϸ4} /.ʝkVXzsjޓI Rf@v|dߋe9,/KHTa.>I3ps46 .ڛ(!8{7@Ӧ`O{ eTmLtZpI0e5>$z6F}.id5Lh u9T\+5Ǻɇ? 9;gbE/E}T.F$?n4EN2FmqMQ)shyTq8> yRWn'C~ʞ" w;:D}Y2;& qrOlX撈{cZY򘹮.'2U댵TC%ϨUU̻޷-C&YM3K.C%ʁءX'Ԧ._K9xmLlSRN&|_](s-~1$;:Z+UHGS#T2Dp}IٛsdC0rLq.k.(Wc3֢:0b&\fe7q9p-a7ٟۅڱEV(ϊzq@ BKxWi\EH°fs\ʍ@U_B /MlF(/(Y-8)e8x+?LJJ5$B̫me=0Ɂɕ em [sȊ0% %kfi# &\ʈG7uTSye"=0%F3􏴼os*hff{J7,H|7rEMB76k\>'\Ǔ_2֤Ò̄/52Ǣ3>??0ƘЫþ$8!ձm<;L[5GD]"TQ/xQ5[Tۚ-d*ϚU;y/&Jb`O endstream endobj 44 0 obj << /PTEX.PageNumber 1 /BBox [ 0 0 198 135 ] /Type /XObject /Filter /FlateDecode /Length 50 /Resources << /ProcSet [ /PDF /ImageB ] /XObject << /Im1 43 0 R >> /ExtGState << /GS1 42 0 R >> >> /Subtype /Form /PTEX.FileName (/tmp/roopa-els-figs/nonrwa939/web/gr2.pdf) /PTEX.InfoDict 41 0 R /FormType 1 >> stream Hw6TH/-53CS 44ɹ .A endstream endobj 45 0 obj << /Length2 11161 /Length3 0 /Length 13228 /Length1 2067 >> stream %!PS-AdobeFont-1.0: t1-gul-regular-mixed 001.001 %%Title: t1-gul-regular-mixed %Version: 001.001 %%CreationDate: Tue Apr 15 16:23:45 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Gulliver, Giant amongst Dwarfs. %Copyright: This typeface offers excellent readability at very small %Copyright: sizes. %Copyright: %Copyright: The digitally encoded machine readable outline data for %Copyright: producing the typefaces licensed to you is copyrighted (c), %Copyright: 1994, 2005 by and the property of Gerard Unger. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-regular-mixed known{/t1-gul-regular-mixed findfont dup/UniqueID known{dup /UniqueID get 4122767 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /BPXAOC+t1-gul-regular-mixed def /FontBBox {-141 -321 1053 1055 }readonly def /UniqueID 4122767 def /XUID [1021 992 867865856 2429308] def /PaintType 0 def /FontInfo 11 dict dup begin /version (001.001) readonly def /Notice (Gulliver, Giant amongst Dwarfs.\012This typeface offers excellent readability at very small sizes.\012\012The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted \050c\051, 1994, 2005 by and the property of Gerard Unger.) readonly def % Gulliver, Giant amongst Dwarfs. % This typeface offers excellent readability at very small sizes. % % The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted (c), 1994, 2005 by and the property of Gerard Unger. /FullName (Gulliver Mixed) readonly def /FamilyName (Gulliver) readonly def /Weight (Regular) readonly def /FSType 4 def /ItalicAngle -8.5 def /isFixedPitch false def /UnderlinePosition -75 def /UnderlineThickness 50 def /ascent 789 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 97 /a put dup 100 /d put dup 110 /n put readonly def currentdict end currentfile eexec oc;jAw-24 WEvQC<3A2kX0k^|:ٴfb,|=sLu2KZ`3ndgRw@),q՜G<&h'. ΍883 ABAԾI$s@F25ڪ,i pK>6K` %E((bsX5QE8:'1#x[ob0S)õa *մܶ<oWNņHXx͓Tt i?Xn~/G?]3IX6-$r|ƌyS AQXM(u0x۫3+1?&cC1@UV*Z .A"]Y yER\kb7P4 K$Qh+63ήo:U.,tk~uP+J ?"&O H0fS2 .?GPO "/]xkJ"JӚ#B 1u!> ׵ Zvb,:S}2U7I=NEq]`њۿeۺ'B[xe%-g9*fP &y Иrc/8>~i8>LFf|B*G_˙VX0 &: ~'ިP |q)̶m&©+ X^݌i6Cz k"ǬL r]ݚSa="p"?+G| !Y " :A%:δ%{:c?n &f(%)oŕ0NnVL@oi'I_ c `3;z8qefJ U#)rE-oɁ4W(7BT `%G÷>dߋq ;:O<#̄ʃʭ҆vEfhK!%ĻtQ VO4jx.'v84s!QtҴ\ƶJ{)[P 3̞*4,s+%V׎MZe%Cx<{ߕ`Fqo~g_oxhO'o=a`JYBdPWOn^qmYkO}8B=K_3K5`:AVHe6k۲nTcrjt,S@P@'nOh:FPN掏y!8mA{,\DC2\N~4 8Ǎ1DB$eVUB+#MQ{M+8زudAխHq : `͜͜ҵx tJH.VS/ΝL e<^tޑ'RU;Y]f'dG1VW֐-}%0[aD07,kꌪe@ޣWA 6oBsb ^\j!ApxKP!p`( R)a4iWʴ(uRX E9R():+~R֗5I)m8kB +깋[/UtWh SS]ep3zv?νbR<l dk2u'[ʨ `aco Wp&Vmy! !b//6i`x'벑7x  <7NqKZpҰoaZ4M%M.%H"Pΐ=FQ."T9TH֦ —" rb]l"jUI[)`^{GeN.w>˕4%i0&1,aN/ᴦFhCەWфopJ?}'#=KV Ph*H?`+hvfD,>W1;Q݈4ưϫO_97]G? p˳aNHQڼˠ ̣%Q\{e?-m`|vTB9hj511޸=eh# Cd"|?""Me]r ȧ?|˓ap WRu/-F ǑIUœ~1K"?׳Gp\zKT<;EDͨru9Zr\HwM=g?O+p[ƥMW1D+.A{AV:e]RxƝ[%YF4|95ɜ+\#:rz(-[n GSAwROtrN dG|~X8&D8`&w P4nH`NPAr2\ +02Ř3,{>^;1;)N9-?j nK; Nm晼@]\І-@MWWi#s޻&m{:uKlDK{/6*bqvbT hsg`؈+n1쮸tz-8z, u^zH-ZDĊ[2%ޚ 5ağ!5S)"_Jz󭄌"{5 9pC^q]r+@fϽ;6j\'j/_ ;q#( ȅ"Rݴ B{m͙/hmOQ qV*Ci_&'x1MPb;sVUz1;7qP~56:f 'Fص¸iDJ+TǬH_5y8y#'z^uβ^G5B;DܿL*ۍ$:1UGS4]O(Ge7Phi5,Gd# Q㴭K(P^|(ێ<=Vp&c{i70ݔ*Ss툃n)q쿂@tg_aW;󦦓Q_ ͱT:ȕЁ$?DBч׊7 sd Wbk 7"bzy6 P<QC//|NvSdw U!_Ph&ֵ1V1cw"u] S cvr87N[klux\WM{7ŹǠ HI~azaws~?$˛Rȧtb3v?#XVx lcdD Eֈ ~A8/+>x9*%p gx0>Ar =~̀Mj' cҒ3l'U2rZ"Z8U<򖊮WK#!Uj qˌ,">/T ֔?#@[Ѷ ]JW "y4kOtbC?2=ѝI@|; ʌ@ZT,4}J#;=:7U&YT=ކ1qHPHiٔ ww6{臠n,/|- |sڒA(Ni .;6k l;}l8Ml|%zvȡWms\?[H40HrۘזzROx$ň2Õ ݸTwVMP9T~K%6"G)seUٟ:ya 9/rY\&k<3N ZeFJ (T#d5S5D!#.* 鍨(-5+JǶ=3W&3FcnT(ÉvY~7៸iC J+z!!{2TJx6 #h|ͬb.C< ~[yH{BXUHZe ]vKmVփkHAfƚjG2JoC7y=Ϊ m 14^J&RhkِGkJYC$xB\}T1j [$yڬ;-TieKԦVO3șOSKcYc\Ay -*/(F [@vl 2yw, 2 aQşf53bW#fў%R%t^TẙQH!H0Vn%'N "簏-8D ٧t;넹² uI$hѷءIsղ4QjA4jkFv&}c72gL4o(̘a=1*[IG T靋Q5F )h[* ԐUl\#!mw* e e W! ).LΡC׾ )-^!w_1Pȕ9.a+d Sԇjk0+69T6$:.b.C<'Qv֝,CnEIWx>=\9EUH69Df ]0=v- -NQmP8Kʓ}ĹڝηZ=m)F˒#AטsgqohL:昃6/%"s:n ~]°2T6V}j-l~ec{ijt0Q2%ZN:ٞDPu#5kT~8C̏BueG><!% 2V% mTwZJiTAǽ I9ʎW= dE ` p>)^ŧSb*{6Y4 03ߜ٣%Xȹ*Rc)+X,X%sQk ҂8Oa z&o4@@yA rj2nBaX)ʑLrzs j֍[S HhwHd #>IR{`/kkM֏u"^0d'n][4j} Ŵ&19{*9zIsJ~m,hW'4{Va؉R'ozɷְcE"*ROvO5V(#:p4* }]r]!1!cFkh6BFVktҵM1Y9!@)ҵڭ?㗝-I IH>h՞a; ,/,|%߭r0M#-`.(8ǞnYQt†uPݏ)TI(ZfѪNNwpUMǝf]zMHOةbYEnTP [}ct?'.`J` su>v~wV Q= .FAUSעfY<8G#jP i=j lܬsڙqy):.{uc$Kc,ϒ{3oc/ƟQ.=Pn(F }Zh1uN1"v*K?H951Pn> -Lkvg o1>k!ai; ";2cWǵk7R[7=+ P40<9{)4F8e.jɅ2S|r9y79e? 8,[Q'gJVf/W6s vs,9POH.]"Kƭ<$Ha2KC-3T&-58]9_f4I .[) χ/VGY:ri}l?vRaP~ew]"\eej7%Yra.V@r(V UP?hfyB*iߧum9]JF7&RJ-|S0m(` BS_05ld-lL:9~Ȧ{;(0JoYo*5ܞ/[Ha~K3j,sav<; "݀ L*Z?xKFyƓEg#Z ֦XVHJ\fǿ(t +3kH"ɂ7S}1wǛiHA O?7Ӽc7.dt\ypz'ϯcֱBQ6АuA c*9\t`oE)OSDܮi/ tB ?0W>(ϵBPϋOqlLz{тy"[37[XP9- t+2~-OC==/X)$N Hl ݟR# `Dj{LL^S 7cW- (H~Hi<#HL<?w4"! >a_k~q( L!CDIvO0)LUk$QzAÃ& t4Dߨb/ ycZϳPw( 6<;E٘7`Q;zui æÏ>ʿGvUlƏv`윊O4 fwgb%)O/Q!Ӳ J~@sp_ >QO.@al %Ώt Im.!u3rZo~@1bO !tgj@ޯK YYĎ l W#e3, 6'^VcDA{!XcJy%PkPVo"LolLbFj O`6oZm#y#Z0;3: TmBRAh>ז?sr\8`tkᤣ? W,b=i"TShl@KԸ.Egz˵}%sP0ɮj=^j&Dݥ7)]\jih?ܺ˨ 4ҿtcTU]r5iRYHw,xP1UЫy~SG8vzkh^!ǐzٽ.z{g*)Po$ _bFVG8A#>h V-Vq>9U/\=5"A*ܴM4Id3$)f0޾ѤQuMO`Rؗ*.Kp.p>-ơEs`nܯoR렏b8F". 1#Q Ag'WJ"sޯ\]P0wY6#4Hz[y+P0o(t;+.v7UNpTfa;Cek!fuIM̆/irZ\@:v]>M c~"eJQ6YVQkӷǥK FI_G͈9h.e+G!L@mV- :|_uߘ!deo]_܃zuwi&PӴvS5AĹ>R|?S7`w"D=fyZ]ȝ 3iI[Zx5 \䏝:R\|XIYhƌNTN_k)w&H:P֠W.(\qv. 8j9K"Po"7RzzKu&P |d>TɺW`:m>u#(xZkٜFÎŪJ/Xb|;-Öuf-PMFR1bZ>K% oJ0_ڠ섹Z&4œ(/`/i|%،GVt&i0+dF|gM"3 V&",= [ `!0F.K"έ@A'`貼Pg1^A/m"x3Wm4`,ZjGʙ0w@ QdQ>v.QӱKwW/EAzbf6@,_a2~Z0 :xv+ +a39*/w*=0&d'&IUᤗi~Pg\A-!?jA >28]"e_8$1l6S$ʔm~叏@f/QY*[5M._D:v'J19 $eQ~Z'./[Z3HRjKE:P{3aȒTc\6hh֘Qa^ELm}ugZ UG+,ݕ LEQ !&ԁ<+  Ԁ*Ur7ŭpHr'OD5%UFZ൐m 7) *41Z#|W2:O޼߈xwڤ2UcY2ќOoΞx4ʘ۹ mľ75l%E=]7ׁB̼Bx.O^ &okKS@0Y;5#2홃`&Tk)Lꊵ>Kمz7߿#ުH&<|vk_j8>1M;s݄_"Rr##8:-d]ӳ=\WbjY:O}A+'* tuM;2pP} 6²B-MЯie=z'\A֒"4ë-̚o}nv'CѓmBvDE x󈀹0H~x%k3soNk v8?H2@{!]]gq-$Gob(>مߴ%Y [ H=d `blf\w¥|p\,Y@"69]#@2]fD[RPͭXp`JGrzj:m{ s h!{A. &nc`ZAtpؾ6ljw6pNO\m$dtjBiC'66ϺG^na!(zß(eD,UZs@Ά^p%ЯEt?()2L?> endobj 47 0 obj [ 533 543 450 556 480 300 514 564 286 289 520 274 864 578 ] endobj 48 0 obj << /Widths 47 0 R /BaseFont /BPXAOC+t1-gul-regular-mixed /FirstChar 97 /LastChar 110 /FontDescriptor 46 0 R /Subtype /Type1 /Type /Font >> endobj 49 0 obj << /Length2 5662 /Length3 0 /Length 7006 /Length1 1344 >> stream %!PS-AdobeFont-1.1: RMTMI 1.1 %%CreationDate: 1993 May 10 16:52:31 % Copyright (c) 1992, 1993 The TeXplorators Corporation % Hinting Copyright (c) 1992, 1993 Y&Y, Inc. % MathTime is a trademark of The TeXplorators Corporation 11 dict begin /FontInfo 9 dict dup begin /version (1.1) readonly def /Notice (Copyright (C) 1992, 1993 The TeXplorators Corporation. Hinting (c) 1992, 1993 Y&Y, Inc. (508) 371-3286. All Rights Reserved.) readonly def /FullName (RMTMI) readonly def /FamilyName (MathTime) readonly def /Weight (Medium) readonly def /ItalicAngle -14.036 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /RADPTE+RMTMI def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 49 /Delta1 put dup 0 /Gamma put dup 3 /Lambda put dup 8 /Phi put dup 9 /Psi put dup 12 /beta put dup 59 /comma put dup 14 /delta put dup 15 /epsilon1 put dup 62 /greater put dup 21 /lambda put dup 60 /less put dup 22 /mu put dup 46 /parenleft put dup 47 /parenright put dup 64 /partialdiff put dup 58 /period put dup 30 /phi put dup 39 /phi1 put dup 32 /psi put dup 26 /rho put dup 61 /slash put dup 118 /v put dup 119 /w put readonly def /FontBBox{0 -213 987 680}readonly def currentdict end currentfile eexec oc;j~EЪ+`U+1;[ihHlgtR@nk{#Y~gJ[. DI~ْ+%hapYz;3NO_O:Vп}KBhIϮԬ";eiwzVcW;I0a1]j"4[{ErGT1QeG0 Vw ߚOҎN'·4b>T(4^mѨnV8Bo8cpWTC 6j'-б^3;ZSd_ v9(+2Op?.BXsޝo!.Y([J$~8g@/Y.Y+S$C9S= iYRu |íPq.`1)KB/к!xYJK8,2(ŝ]#BEQw5,Ge2u fPQ6PnhH~l 棉l|6Ҿj;D鿂 "zGN8fYC8#SfMr =XZ2MIHv@}`6)ta}Y7Ϳ47_75Ww ^6u$; ӕcYfg_2ƨ4}ȱG}THl=YUX 3y-kHj7έD,3>w(=?vez#]2+P)pvt2kDrn}۠>r|QkcRõ[I+s k)r5$i!(=EN$^ɼ}Yatw^ ם %Lbz{;%G{j7H9;S(Y_rGE.; _SW1@4'S$Gdp&? 2 [Gy׳G=d:*\T1@0pk7mU֬O :6yūx%O>)GQV.1вyTa ~Z7vn[f2|/=ՑV&W\ ɼ YHiR:/KBhwow^ơX{4)~6捶/A$6 Qx9/5aFu0oq$8)zc&v3gi&vX7hl}ܱaܮ YkW7PJkp^ӸN!]!5xG%K{ٷh\B5%TQPZ\y]?Q1s;%yD={oㅝS0i~ a)fVf8uݾi|]2o nʯeSZ+.vs` Mİ}pNqF4ˠĆluV:-77T0J庽{.|6X|m|xMs\! hQ)|o$t ^(ae HG0d_Xؾ"nmjRV8Jӯ;Qb?)8|y]kTZYxZW.S;kKd6a%"eA! T6ogP2s%T['Ѻΰ83 c#%% G[̙4i?-5%rS8/CWLsp[}C.ZmXkb~GO H@S[)unaMk&Eװ˙2w{pb58ŖnJ8 XӢRnKWxs.d-OLO.V4O%Wޞ[U .Kd/ruG^ʕ,5]$E|! 1Y[Bp13m@@MM*bi`UĹ(s["D1^:=*CeY01oZsI4+ӮMfoJ8IudCQiu1I]W$i=H Vڦ ;#0:n4|,J'=cDCY'v[ AX4C㟢\Pe ,^%icrg[bziÅ]'#ȩtN4|Ekq/0l^ £ۤD+u ǹ*]pa`m܉vf ]mi%wTI٦@_mɫqA8?9GI"EU~́}Sʤ?;NTLe˼q3QL+ݎRyZˉUƎxu|:,MrL!zHgu&AP T\uBo^,nM/fŝ'-tփ \ s&Tf4u'ͮJ;WX%GpJd& $JkszUș9uwpUY$ڴgECGnhqjaOd3 =)"y1t̷ 聊 NQϙ2  \z Xa%kcCﲰyDjQͭ`0m9CiQ[Zl}tRZY"yȁnU"G8)c͗u;v#9ⓝ\i`>({H =rÄFqU83D, [@BI:dGoA5KxZϘ+Nҗīܧ"#W٤R.n)3&WBnjNdvgF<O\cQrI+,ZNc& C;:ʥ z^Fak(QgHPzpj%o i51)]w<( E ~ʗ*fi?5i[j9Rf_;]Q4?OL\⩊r`h;ZSpH m ]}4BʺX(&v;}Pٕ-#Cp>M8V/8١Qu>_rDqjAy8Lb00^ȍIQپFS#FO uIi<4u]> !w?-%1PӺCPNuiіиGNJ'8O*B{e_w[з@RSGHRkKuTecj:lb2 :!qRsW:@a`;4G(H ~bq{` ۋqwHku_04`L=} 2͚"L8-.{yp#៬jM=ezits'ʣfv/u<aOe.n_i}_@u6ȯl&(u?%AF=]K-JX]e+aeU`68Z*R[jj-' >`k ߭kP endstream endobj 50 0 obj << /Ascent 0 /FontFile 49 0 R /ItalicAngle -14 /Descent 0 /XHeight 440 /Flags 4 /Type /FontDescriptor /CapHeight 0 /FontName /RADPTE+RMTMI /StemV 73 /FontBBox [ 0 -213 987 680 ] /CharSet (/Delta1/Gamma/Lambda/Phi/Psi/beta/comma/delta/epsilon1/greater/lambda/less/mu/parenleft/parenright/partialdiff/period/phi/phi1/psi/rho/slash/v/w) >> endobj 51 0 obj [ 622 792 788 796 764 820 798 651 764 686 827 571 564 502 430 437 430 520 440 300 492 547 686 472 426 600 545 534 433 554 577 588 704 655 452 590 834 547 524 562 1043 1043 1043 1043 319 319 373 373 642 804 802 796 762 832 762 740 794 767 275 331 780 470 780 472 458 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 419 412 445 948 948 468 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 487 735 ] endobj 52 0 obj << /Length2 3106 /Length3 0 /Length 4451 /Length1 1345 >> stream %!PS-AdobeFont-1.1: MTEX 1.1 %%CreationDate: 1993 Jun 26 10:30:36 % Copyright (c) 1992, 1993 The TeXplorators Corporation % Hinting Copyright (c) 1992, 1993 Y&Y, Inc. % MathTime is a trademark of The TeXplorators Corporation 11 dict begin /FontInfo 9 dict dup begin /version (1.1) readonly def /Notice (Copyright (C) 1992, 1993 The TeXplorators Corporation. Hinting (c) 1992, 1993 Y&Y, Inc. (508) 371-3286. All Rights Reserved.) readonly def /FullName (MTEX) readonly def /FamilyName (MathTime) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /XEMZLC+MTEX def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 62 /braceex put dup 40 /braceleftBigg put dup 26 /braceleftbigg put dup 58 /braceleftbt put dup 60 /braceleftmid put dup 56 /bracelefttp put dup 27 /bracerightbigg put dup 59 /bracerightbt put dup 61 /bracerightmid put dup 57 /bracerighttp put dup 20 /bracketleftbigg put dup 21 /bracketrightbigg put dup 90 /integraldisplay put dup 18 /parenleftbigg put dup 19 /parenrightbigg put dup 112 /radicalbig put dup 12 /vextendsingle put readonly def /FontBBox{-23 -2958 1456 766}readonly def currentdict end currentfile eexec oc;j~EЪ+`U+1;[ihHlgtR@nk{#Y~gJ[. DI~ْ+%hapYz;3NO_O:Vп}KBhIϮԬ";eiwzVcW;I0a1]j"4[{ErGT1QeG0 Vw ߚOҎN'·4b>T(4^mѨnV8Bo8cpWTC 6j'-б^3;ZSi 4LTVC}:)EuF+o1F}NNZ*1aD1U(H`b^;1Mac]&'kM.Lؐ1Sh3\9)Wyϋzoԡ!OWr%\ tA7e:蔧R1-~w1Dj EWNTl%4 {yBvV E=&AcW_}in|{^X&U}[1`\EDCU#}/4ZJ{ ^t &$n1UiYO9(OKTJK%y"Dצ3T+aa\d~3ZV|6@ tj%w%ʺ[-~{mYq|&}DTۭ-Z0DL3f4ΥeF'Pa׏ՇW֪DZmlbCd]+#3 o4ogO"~?4)FEONNW q`.[~O B㓅 nS&u݋wW/Z}@j~u *CYL[fU C$ZvN+(v{Ђ:IQ?5]߭?~\! #@!EW,FCLQd1Yc=jP gk@I߬T9w;nn +&nSD}"opmtfY{/(& Fgr]M (n~?&:No-㓝W8t gYR[#jg最\;ո ^^͕ ](un`2!UQ!ovDޜKp<;u |x#TRS?d,U,fgK l mΣ=c1{.A&Uz:,jn#;bV 7i@#S`g@J CJ4X { .,/p~ŵIby53<uR=v 跤B<-13՞Qj!-88͈Y?Z ɂÛe 1CX"Xig@qbovbfn6 LmDžXQ/d/"i/3 K}DLɆPLWt%CEw)¬([?e*6C#&9L+QᆃzI99wh*CXRt)ZYOu m) Q!6;+i5,*UPXjܞi̊GN7=ԓeZ)dǁ7EPz-17+4@RwzL}. I<,yV[lѧP;TSW -6>)oG{c|.)% %ܮG\36Y#^nQ^8fMUԔYiYҗ2ɫ9>O k_\PVspBu26f"tZˁka66_ hE\ mee!.xl  \6Jmj2j*Y  ɭ(JMI .@mKLBEXacr󪷣 U3_AE "_Gx+Rg}}9":ċ^ PnI f*ᖌ_8 . p/UL/ϾQbdӤn H/gؿEɀkj D7Qo]ɨHk`JbA|ho.ĭ2C4˴ q p".J>i찪6-n?Y4`b[9 endstream endobj 53 0 obj << /Ascent 46 /FontFile 52 0 R /ItalicAngle 0 /Descent -600 /XHeight 462 /Flags 4 /Type /FontDescriptor /CapHeight 0 /FontName /XEMZLC+MTEX /StemV 67 /FontBBox [ -23 -2958 1456 766 ] /CharSet (/braceex/braceleftBigg/braceleftbigg/braceleftbt/braceleftmid/bracelefttp/bracerightbigg/bracerightbt/bracerightmid/bracerighttp/bracketleftbigg/bracketrightbigg/integraldisplay/parenleftbigg/parenrightbigg/radicalbig/vextendsingle) >> endobj 54 0 obj [ 325 533 626 626 545 545 675 675 545 545 612 612 612 612 618 618 429 429 1107 1107 693 693 621 621 674 674 674 674 690 690 554 554 1348 1348 866 866 799 799 729 729 729 729 729 729 792 792 792 792 792 792 792 575 799 799 799 799 346 346 984 1235 458 528 1110 1511 1110 1511 1110 1511 1045 940 458 940 940 940 940 940 1415 1269 528 1227 1227 1227 1227 1227 940 1269 742 1075 1408 742 1075 1408 469 469 558 558 558 558 546 546 829 ] endobj 55 0 obj << /Type /Metadata /Length 15003 /Subtype /XML >> stream uuid:84D7E44BB25B11DDA936F437E6201D80 uuid:84D7E44CB25B11DDA936F437E6201D80 uuid:B94DA6A7B25411DDA936F437E6201D80 uuid:B94DA6A6B25411DDA936F437E6201D80 2008-11-12T14:50:05+05:30 2008-11-12T14:50:05+05:30 2008-11-12T14:50:05+05:30 Adobe Photoshop CS2 Macintosh image/epsf 1 Generic Gray Profile 1 2000000/10000 2000000/10000 2 256,257,258,259,262,274,277,284,530,531,282,283,296,301,318,319,529,532,306,270,271,272,305,315,33432;E143828B73DF714D8540FED20A70DA1A 904 304 -1 36864,40960,40961,37121,37122,40962,40963,37510,40964,36867,36868,33434,33437,34850,34852,34855,34856,37377,37378,37379,37380,37381,37382,37383,37384,37385,37386,37396,41483,41484,41486,41487,41488,41492,41493,41495,41728,41729,41730,41985,41986,41987,41988,41989,41990,41991,41992,41993,41994,41995,41996,42016,0,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,30;0155244BAF1BC2B702BA27B9083AA76C endstream endobj 56 0 obj << /Producer (Acrobat Distiller 7.0.5 for Macintosh) /Creator (Adobe Photoshop Version 9.0x196) /CreationDate (D:20081112145022+05'30') /Title (gr1.eps) /ModDate (D:20081112145022+05'30') >> endobj 57 0 obj << /OP false /SM 0.02 /SA false /Type /ExtGState /OPM 1 /op false >> endobj 58 0 obj << /Type /XObject /Filter /FlateDecode /BitsPerComponent 8 /Length 14837 /Subtype /Image /Width 904 /Metadata 55 0 R /ColorSpace /DeviceGray /Height 304 >> stream H{LJQBiQ!"屠V a(PPXbP]`BV4EZ^f -h[_ǂ<{NソacfM~s~/{s/5 ɅY1?@66Q,*A2TрP\HOP%CzgH\FFq_ &E_OE="BP,!bуʨGh9L e[פ9b5bY)3_4u(w14q FGuh>QAd2x t<QzӀ.yT*n>Ɩt?e!*e |jl)O,dʠ.9垛I H<3 KM:n>nū?~F*d9gr@ :$uFXŨ8 q譊ܡ" FAyycЁPV'h:*fóӡ6/(x@(ڟ%\ч( c!٧`) @b4E՞Gy`/sv8t4 E4h.(KIbNĔLU\Pʗ;m :"lb]P_ HLʙO :tR!AGX19SbˣARDs*p1Kܸ$5G5qa)σ4²#4x(xtaҁaJx(xtaҁaJx(xtaҁaJx(xtaҁaJx(xtaҁaJx(xtaҁaJx(xtaҁaJx(xtaҁaJx(xtaҁaJx(xtaҁaʆ8!xlf`tpt=h(x(]Xn!D<hF_*x(WA <~2-&իzwjْ]*)ЌfmӰas?*{绨=Ͷ9L<*HOyQ0QR<_F:>#$P吮MŮ%&ւm83g_23ľԇmNJj[$ƮvYg)M>롺Z3^Vk T{޴ن5!9-}rg*?ަ\ٿK U{ϠQ.V^~%뤹uf}Oۻ޽|["dM<$~7oNׅla^ԉQGz}dޟk>w|+@#}=ᾜ}x7wjձZ:6si{B_k;e {|eP$VXFzveU_#kuzI[tH~iolYT7hmZ7tc2&MV%ɧҰkۖ\*_5$탕&<$ڽe6RbRzd11l Tۧ33V45C=T>zt%iy 7Hў]rӧV߻GzUd}뀬]d9<='K?y6CѶ6Fݯ" Goݲ(Q1W`ɵ&4,!އWEgeQdmnO{|e%xIssJdrRѰXUiW9,.Z߻hwc_(_|q9yȴ \u>gj-6V_BcdI&ZLa[)ݹVqjbCudfne;۬oVj]sN>b -1=w~bM6[Buܬ/% |*n6߾.Lu'cٯ*+ j)J%)&16k)>T_$jشEಊ"QKKAW\b?U( `@syȻ}sgrn#UI>/pZXC*閗V.h8= cِz`RbaMe@\@ˊ蛛 4JAM4vi:rh&{AAyH]MeNŚv3Ϟyq-6LСbq/&ޚ0I <aAZo,|i9hX$حGgTi8{H.=Ҡ? C`!68kDq4}@}q{M( zKU=={YOhKDSNz{b#{jNv56vzpPkNffHḩJ^Oeme>Bbu'?vWf:f/m(塆ƹ3G! OȇǺ>^w`.y}4+ = Jh < #4 PyCq3!ǗIh'H;ʡ6n՝{dC 691B`+0Q6.2c0A ܋,m7̵+n+{ޗ <_akt̄KN7l[+ȉŋ/x&ک쏇 eK5,<4P\Z$*ޣj *S]2t샵է ԦV$%D`!vsUaԱ['i ydSN PN CU4CE zr ƿ5qKk8φL?I'.W^tcԇ_z7s+ȗ[x+kF֑^~5衺|XxYW#:fCmAo#z} [x(#HܟL@|(C^s{J.UN&]a(C SyQNGw2 S4쎿;'9fܸ}jO_J9Gِ=5e9` |åN6q1cّs#/[nJ/^}M)JIzųZ[xϻ2 M>FI RL\&1'~S&=Ś|SDxXk8Evպ`6K0Ssn$@qRve!yHE|d_Tb<sPIU=ܔP܂¢4%Hjqj |Uɨ!W]S[94]&:?SYJëf{(S#BȸKCiO Vk]L/N5*Bbh,D6ocU Q y8A{I|[z0t4* k~532}>q .C ^ >MeRxHJ9U&CcdL0tqCpsE7-@ja g Ш !bшԓ"%>p=~e.H!"C~(5~"ARG5ڼȦ~@F`֙R!pBֺ#Xso*Bh4!IJ="GP& 24_Иn,E@=`B·)U3CFdHFpL#$iO\*GWa=B_>YVW(M#8m "ac:6 !`iҲ:0 sp&ADK22@`P Ͻs[a1{KMz{|7 42HK그`aCU󡡐Z~T5ʛf˸N\@qbffN6|1WSsI%J59$kzbV+jw)sHxT]o0 MzmR,+AMqTyk ,")OL wc>3h|d3f&F8 5ށCCC+:Od~K̔#w>΄`5ѳ!˴5װڳ렔)Χ%VyT9<[g1jJg\M_s!w(s$C19D͠^bUe/)gbv[Wa4M|[兤Y|l: PPK]R68U;C c;}qg«OX'S||mUNNAd:HpY_=YX0UCt^ |e!>0йN5IYi8}\D{N!_zN\0rx0hX8lP/3ʶ[Y1UC^|AOs6[yz H& ח|B3jl+my*:@P LuluPϼ%M(@sT 3e!r1g 1б! _v_B(χ875҂׌^D+hR56ퟂ!Fhf̈U/ziXECDA1ȲK8 >V:i3?r!{|rp#Q~8"MX*Ρ#P"-BԽχlݤG Vm=K23?Û5!ym?Ds".':0e}>7x"pF`i]Qe R}jHӯ EdԚN6]t[rá Sn?ʟ8刔Bg͡䄷iƁqFm]$CrCWj/O+P}7JP 3u9!EL+?;ދyGad?R4lzE(/Lx}Au}GJ2mT%(}?_)[\uH**'ﻠ`T,,.Ѹ:W?*Q ,C0Ԉ!GATndC0d6o(jm5CRj8s!7L>A%kat_*&ֹY#Ujl&3?V5E ɜKX!*骾niz# {kqNn"+_-hk5saae/j? ĻT-rZy*68>c3C懨 D5g3:М7Vk髊%D̿C´MО-A(iGC #x.Z}%_k7 &(˥JgrE'V^w(^`8‡=\vvnXYPݎ]hYZz6[ ^*_P<6A!dOIKB\wzU0MlͶS`!LCDN>1<\ d qT\ɫ@:s$}nmNvT]W:d/>0wΥD|'^y 2E`'?Dow~=LvJb!SOre'e+O >>ۅ˲ɫ+**6J=,گ&=e+>I<5DW-E:Gslt9&u>E?EX۵Wy␴1HU@j*w eMXF04k^Sۭ\9T45}ou.~W]͓(L#?#ՌhY Km[~4F ~Ρk0c7xhQ;l40!؟f&?eS츿op,Ս+~'a"o2  s~u\u(&y~R/1 ؞%  {G3 fXQzL1g'GM|B=ab^qi +N\a@/Uͬr}&,Ω-~J ^vT9/Ǿ%8CExX &j=v"Eʰ䱷d!ןTNzP4-^$yWƈVi !h¤`K2v4^DԔ($"wwQ (c<˺:1V&I"4K" JOB?Q. :n5 ؙi |2Bt9 @0l :7-oD `]5 퀛IK9N5C(ƁtS#ꀉ %Ek`7'"GmwތW j7O](f>ґȰ*̰6s60';"<p)r{l'`gcgO?ٺGЙCCQB/_Rq̩nmoP&+RxPNi4DD~P"piע!yLYkԍC~d}=UY:#kz C i_JQ͝4~%|~ B׍Uν;XC*UFF}"9R˰Ggf.42x%b9#8&Vy7~Í) y(\7)-|b<IHzH? 1?o5Own}&?woӿ-C,9.QJ帵(m"Jߎ w.Cb% x׏^1;m fӰ}d!`WH^P @E Qp_<[c3N;"Gx`|[Ϥæ4,#Ueou=WtqhajXعR.x~:RNw)Ypl3W##-[Fթpi:FRُ0bL*!S.eAY̙r4irř?l~iӥjBv DoPvP*^ߕ_`SX Y(Wj%Zn GˡD CD"($"n~!9`?#>d1谨tٕAriR뱫p>Զ|c;P᳧ښnԲԳ< |ԶB:81rFȍ$,&hf5E Km[}⴩y\BQA4MQc?6qPW@ ]a"\ wۦ sh{ ]s'eO-4_|J5*9cMJ_ (IZ]*9D]Y9}Y 'ۭڨ#  \&J*ڔ?V?F2w bt#aS46ǔբDśt' .#7&DR?6XTr):srF Gch tI;3A$E-՛Ke|O$G4hm$xR" %jFa$,P U^6-1I^" gn 5`WPRt,I-AP)Y"ƍ?:u!T `1\b*V;u;oiGg5J U@ӯ?wp:L+6 ]%Dʱ}uGsvH͐mt'¹iAI !ȏpC{y[Hɐ;GA~q''vx*2j1{]^f,7{Eа bwTq{ Vm!cI}#k˷ .ZLA^$[>mw*,>z搈 (6Q c \7ʄIk -GKtHBؗ6H\xD|$`Tg`4YȊMBYoi!yw╉㧮8\zuc_3''ԇok&ǎ˲v"wofͱpKN^ufϻ: ƿ+O/`࣭o9/97kbGNs[΃뺵w.ɓݵg_=}~Š<_5t00a࠯ nmK Iގ~Eu^ bhҩ40j#O!$(R35'ߦUdQԎD+F#jcL4"s?˲d]{ݽsB>2ЀА!ߦ֢i}֩Fܳdz۶ٰf< bhtDV[NN2c7VGJyߴyRأ,B|meح}rxo92P8MFwmWUz"',+W+p}^*[MBzD.TZL lOMJ^]α8Wۧ PQW"9x{=:H~?)./M>2b,q `"O >pg5gƬ)> KN7 9ڝq6rʨ^~QJ؍ ^VSPM6va>o/$q ٍ ;lThL4dl@ԤSԀ3@LAJtSEY)ND>Ȓ<t2R˗lQgl[x܄A5vЙy䝁lŋV6RGa`Q2lO%&xX]t O W_ x 3r)9t0j[H w5;ݟ̺!n }OvZ0^@\145L`48JUkuC%>* U6x%mb,g:0.^KE*:,vKtQeTN̦{ʪdRZ Dz6ՁMrL>ҧ9۰ձ׮ղ8'ϲ=5BQt"O<5*Ԫ Cl[!Zҥ'׮C66)3Z8{ӂ\|5dΛbiŊ֡~qуG0g{3X"z!/} ݸn^IJS*hFz鲹2xֲ1=hѲv"g9lڸk܇"*>Գm,fqQ6'm&fUTUo>ă'PaPY$aJY%J4aÑ5o1先?s쿁 XFmĥ˴1ݷg+=O ZH)ųm_*.`TIa=4 8Poi=ޕi({IF$HaFJEק|ԹFv9gGzbG\߭֯dX`4R*~ m[Ìm x :b3fNB_q QF1b:^[ r{MA ]Tʾ8eg7mnR|텠<Irh/vgpRVc"L >'Ԧ!:ܳjܸFս]n;<^>c#予..뜚Q2{ JYnm/P;hs+Xi8W,Х,1m\`dT |Z͛6Mlߴ:`>յٌȲ9>ݲ]<-?^v.s=O[[ oB:$&;` dQ& E+V7!= ?8cI.|%Qntà M`w0I#<,bgDHjyzVi>䢠M#J`\"'݊ Pn7"W?bOBSvoXд^^;&͠ +]6@}%U7f34*p2}䋘0kx@EE I~@wn,hW0GಏΤI,t+{/Vb1E3Q;8A \9%3Ϸ~4!x h}{GL\7-95 h r endstream endobj 59 0 obj << /Widths 51 0 R /BaseFont /RADPTE+RMTMI /FirstChar 0 /LastChar 119 /FontDescriptor 50 0 R /Subtype /Type1 /Type /Font >> endobj 60 0 obj << /Widths 54 0 R /BaseFont /XEMZLC+MTEX /FirstChar 12 /LastChar 112 /FontDescriptor 53 0 R /Subtype /Type1 /Type /Font >> endobj 61 0 obj << /PTEX.PageNumber 1 /BBox [ 0 0 325.44 109.44 ] /Type /XObject /Filter /FlateDecode /Length 53 /Resources << /ProcSet [ /PDF /ImageB ] /XObject << /Im1 58 0 R >> /ExtGState << /GS1 57 0 R >> >> /Subtype /Form /PTEX.FileName (/tmp/roopa-els-figs/nonrwa939/web/gr1.pdf) /PTEX.InfoDict 56 0 R /FormType 1 >> stream Hw6TH/-562311000R0BCKdnr.gK>o /@.  endstream endobj 62 0 obj << /Length2 15290 /Length3 0 /Length 17061 /Length1 1771 >> stream %!PS-AdobeFont-1.0: t1-uni-regular 002.000 %%Title: t1-uni-regular %Version: 002.000 %%CreationDate: Sat Apr 12 22:19:08 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Copyright (c) 1987, 1991, 1993, 1994, 1998 Adobe Systems %Copyright: Incorporated. All Rights Reserved.Univers is a trademark %Copyright: of Linotype-Hell AG and/or its subsidiaries. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-uni-regular known{/t1-uni-regular findfont dup/UniqueID known{dup /UniqueID get 4172112 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /USCGMP+t1-uni-regular def /FontBBox {-168 -250 992 997 }readonly def /UniqueID 4172112 def /PaintType 0 def /FontInfo 9 dict dup begin /version (002.000) readonly def /Notice (Copyright \050c\051 1987, 1991, 1993, 1994, 1998 Adobe Systems Incorporated. All Rights Reserved.Univers is a trademark of Linotype-Hell AG and/or its subsidiaries.) readonly def /FullName (Univers 55 Roman) readonly def /FamilyName (Univers) readonly def /Weight (Regular) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 67 /C put dup 68 /D put dup 83 /S put dup 97 /a put dup 98 /b put dup 99 /c put dup 58 /colon put dup 101 /e put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 46 /period put dup 114 /r put dup 115 /s put dup 47 /slash put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put readonly def currentdict end currentfile eexec oc;jAw-ᾉYň5t&נ{hLGqB`d˗Pة|*x\ޖHtEB-gedog7Q`[['W73sZ9 m !tAY!$tY\r[uTIUiBy[Ȝŗ3Kï6zJ!˒Js&B5CV]_I50$zEL>6µ3-O"Ղ,vw ;q8Q^Epd4_PsxO^2|jp5Ժ *Vg/ T"rɵ8t~k W%3M?$ۛWuGt5o6.2|#ԧ@ rد|C1k}')˃Umt8;:?2>GSQs2 KJۋaq%3(jv'T#o映ӲXƴpi-=@ؚi YCuC 纞 Wj/: IqyMG?rKiߣg d@rQKѴ:,] n0a]b g6ˈ}R2,^3>J TŘXbM]&Q2U}o=!X3Sq m0_׬P!C IKV.]!Nu}&QR0NtX.2_%R/d^4^˞Oqq+Q c,ީ)|.'ȣ_Ȁ`( H;1A CF=V˅O׼ s' k܎W;>) aݳaXY7Z bݱϚقf/?8U7>p'p 2ÅHA"&xt՝cs-|2N}i鍜`U+2&cW\LG.51n{uD Q'qGSe9ޡ(!@m:)IΏ;ipU@>\DKCV${Kt \׫̒O̗Ӌ9 ӦL-??sp!/$OMQ':Εz)|Y<^J8\qa_\ތQ*g{@N HnHƌoE kF%'nH깻L}j~RL^lV@vOkc}-e r % ME-eKi7ӈO^+l%"s1ZZ[%)%b??ihogC!4ZuuNT!ؼUpD΅"#pQ]gCǨ}dڌ%=c^C : Tix5j[U?SSӓ]!?dN@pBn.X֚^[AOsDMqAA[ 7?Dv +rʈ7^BS R9M?^ݬ@Q8@b6X.)ՆbgݷDY i$3/̯\! Yll)RQ8xgsaU ApZB:ud*R\ ܶh ?\NIv3!=uEPڇ]Ѐſ֨켃LS/̈-J8jU^4gu7EvE鵈qU :j`-zg?ؿ<*dß-Ͽ;r`_zu{K˗F3\,3*^  }\t׳?_|L'ijGwpXku?K# $}DQ hzO\*8dqS(0c__2F+*"Q鳐JE3NDUA4 ]ֱ21 A0_"j>2qڐcIsA{h/c )Z'ďxrxtr3hͽ Pnd[cwL]#K>O96a6Rzv`+c]# -V(r/.gsIߢh O"!jmk31EvUA8q/(*cf v7GWc&2$ q C"O sy…d{ BpΡ">;ܐ[!*=9Gl5޳ϱʱ,Fջ'Ǹs<~{.#WB#shC ӑA2x>uRi'i?1p;J&k?cV? 4cH!P, @1Št$:gLBWcئzG> (y,F6ծMnQ}IMhcpQ?Bt#ɚyZ8=ٙ/NzKȪ&!FEZTd$Vta3 pW}d{N.\Oj@km=:TnPo-s;5^- VK ˽b#7.2JJw^%\6$@)RQC䕝p*+XK^?FH582N~9VAky΢od=Jc y5[܊$PKI`Lد"Iz=( aodwF=tts(*qYrpyڡ,0z$nA6_ה˞T4KH N{rT(4AIT¯nH93"l(*"TՊz_&Hȱy]k4ԋi R7+L2v:BZ\çkiSd[*#\E鞭!C:#ɌnI$fYu\5M\_ oFMlc0Xi{wŠ%xgNJ!cEtYmě/qey9K!& eڶ]A6(2> wTlPYs.9{D˔aΝJ76ӵbVe2[,%ܘWiPB1I CL5g2c»6V]iU6*F|ID'"?W}6O;l0?j;q"k,u_ĆwD: I 2Sk3}|x$xQMS?ϋ?昝{N4_}euc<,70Gޅ8ۼL&uayΊHa#m93פi̔@NjS6!9#U*%",k/ٿ]M }x piC2ٗ6,Uc+)m w(!hAg*gU-65SHr0G ﷴ$~0`⪯MiF.!Xe0CeEcޣ%]tIt:< Q)Z`*Vs`fntmht\:0җF_:%O$uIqqb'i%>C@x{bFSOd*cZ_ 06krCV^H4 #~bs i8O|GO7:d3Au{CS?)mɴQ;%Ilø_Z/$T~߬[.9zfA3v|'a|a5 J?#YF$+˜Zn%Ԋ<\p 'Wo]VuzȐ1wD딁_i\qzLX&S9$Wx( LIGa=r8vK|,_D$oZNHؑ c |y*Tt]3oB[6>$9q,dylCz /)(S|["$> zQ R/G,YԶ٥X#rP_xOddH$1eE4 l5؛ pQLZU[7"3te{Vװ428&>L;QqI~$,@[b_=\Ve?eeɉ#`CRvNk9\}k! :/BR͑G axe3·d1~T}Ggs=؎1&h*т6N_wo,lX49RU9Suli(=THx" Z^P'!nW߁ͭ0k̳Ҳ=1,3ڪҰvQ4j˺9(9⽢$)م),1ʮq׃:)Œҟ<54 6T\M08(b b{:ȏ׶\R\:f;2?%L=qz.v֏ڲ'S!ɶĬѳܳպEڰྱG:V<7=(7U/F;&iiسE8.U6SV ƭG'19HrH+Ԍ ۢa3!Xzvk;b(LJܚDD%B2[qg@}<ڭ:He Y9+~?`G0Y&Y-c} =YyX&j %\3^]cMM9b+A YHk2xZTu-lX!x!xy<,򀙄U5d_%B+$1ჷr)\qu-ެnrH/8qbpw=()OzYF1H/$Lt1tLWT\ h*x2 EzJ\hxe:*WT7?}Y ~":ujDQ:oJg9O0M6!6o U9pQ](耝ul!q>ո:CȢ2Y!$ٔ{Ũڰ=+͞ʤա@梗1籇5)(5f1Y4PW!gYA2*(ׄUw}J;AN2ubrTmoOoxv>J 1 -)p>r)$Dϭ@*"{Ht ]pt`TcQ + =ȤQzmpJ0fG@q*͐p~ ??׎VeG1۸Lá9%c.6#؈R}Dui';^-[~dOrGfH"$zGZznRUjQ˼#9qEŽbg[A ief3MWPq  . Z Awpnmp ';p7yC2nnڪdwS6`<ڄ_੝gmˈhɸ Nhυgy=ߞ.9I gH=øY2l"99T;E^ UK rb$&Ƀ ~> 6>ixY`a`y&5Tyfa{TX5 k]FTrISa4 Zmwu??-TO<¶̲#. /=2{( cj=JP8B;W!FN49jSAC:]mU]_Hw,t&}lvSDޕٳRjouH=n{ )ْFX"1{{@ OzdDivrr+GXןAI:5H:)fr}:^fZ5.^՚r>}{~]F@E *k*~?E6Ȓ(䀐)yn9H\"bSg7o,2io` [`mbs]h,񖪹(H=;+׭2-2=.7HITsshfIPb[q}Kf;57;_k)|^Ru{g&vfֺ+ ׎!]!k߉SQum$XEMp@Sf@O/$C`l=>amvFw~p!@i`ـ ԏ g_)j8ߛuNjm#B3~֊ȑM H%jT2 YAPo[@kq9V1m켭pnTw?2QZ*7ܔxg 2]酶 Yt@RpG֥5Mn2Ϙel%| F›B^,D~bXc'tlW=r4d7&Q ˾zR! |~`z$ 3=,T>^/6Z1 %}HKGr G2971ĽBMO~X{=dWe$ ye6p6M@ |qKM\2(P Q#'ĥ_-S{<萦.ZE&Ӝۣ#spď`dW#CM{#,gcH{%MM[RLX_ {ИN!o(12֮2ʕGIW<,zhO[3a7:Gݍ[G{RzJx{ r o\%[T!\^-%/R.ytӘD2}/H%{`WmZ[^L+̩3Y#'$V0m@ђR;]0sʓ`ikЇh _ޒIũՁ}"i2ۚ y\YcnKuaI%|>'_;OĂN<x+b{bFf g%,nQnAd:F>ZnRy׏ٜW ;)5"&Di;6Tqzisυjmg2|EG; KycHxpaՅLoZШ`l !?S@~n^t͍vP++jsX[3irļauOf@ (a ԋyKdi* x2|k:N]k8R3 ͏h~G.:ȟ* (w$_!Uw15t53hcuHv6\ߛj2B~;zcRեIG {'l{& .|HL:Ϳ%FGmJ*5ln0dosRӫbs;iӎ)A0JC[.KX盽-4dEC+lM4aT@l БK5ir{fI|QA[lYS\4Rvxmƥru=ͅ3vPG#뼂^nӉMN[$Ifu;L)1==`q@Fq/!̜QU|E@ѿ'%YR]''"E)rT*\L0yeϊXގG`T0MKkh8esG(|+ebƛt>u+]9ٻ92G5}v J3U_%.YyLF˼fn;qgc儩xt־|۲C lD/R&ٞ!~&|(|M;E8A`J9@em^+i*{0ׯjcǸ8@kx6zcRեIG {$'pLa$+Kб4$˪-xr/V]򩩐-8{2LQ`7G0H5|iJ oͮ ;tT&TE;? 2ҁ_ie.)poϐԥɄo+S{ Yd}[w> =0,?&,H? +Bf% x+2Z <4礐ƒψcH3/U,9S@ondML-Ydr P+KOagU!`&Pc0L5%)պc0X:ў%m0`x{1]HzSZDJ*|9isJנ69W;#8@ ^E~yU3M7`XUbԆSbρzPxQgk]amN1E%4]O<1[޶z\pT:UKb@@-қTU"]}x XqQZ'~ (bmݫ/2T -%\O/D:($2&IC)4[+zF*SSctטtj56Q ai\/#ѯm֯X0϶t07Rv,#HLq 2 TnM#] ONI7j}0n#5n>@-Ki{ݚ@S:(^[t ꕹFMia}lrj5:0O/L>6i9*2hb7g2vx#WjR=3l#̈Tz9-[N|tamb*ZKZUkL}%Gl䩀y'TԚ.&* VeÔ 71]<3)etIOQz|ޗ˭JU=ooxj Հjiy eNa62a2h9 9 Pt`2<#^mF̶a%$s1*ތ= (sD 윗I(dگ´ln!NJy~JYM&n%秇j"cbkM'-3;tpJ}={_EXbgR )*e7`hPVg 43CѲf*ZpR!'2`J瓬v\wFI neL ,A}iC>@qK.%Us=ARQ^7 m'9'jJ F>lm]e֭[rvRfJIDXMs2y ٌ'M{v2oN^)Ri@kg4ɕ5<(느|ŜfU„/\n;d@YRDR-'pZÆ+wmyc>ںObx${`)Ж ]I:RbxcCJ=ZgB'֔qFOD]0\n[\K(Mu _yO"kt̝])HX4I^(1=6QaH:1[F˼3("ȿ6z>比<K|8$>7s.i?uC, \[ۧFX5mȦ_1?RM4MHK7,c.DNԝ1rbM0|q%cI ^G G"ۜ4N (ϝy;iQ[h!9sۃ*neazXm H+d;Y!)\"^*!rUpzO1ܳ8bO`/ zQ\ޥ3xVc PʾC~LČ&j2MEt3bdxs89QӃen(<۪۠a5.wn TbXA;Q?ȋ>g|8'g0~?Jg@!ganRϝUΧ"tcQ D*d/!"W%>Ux&L82j 12#y*i`.RKzY/zFow"t.\N:\&=sDw}r:=j#LD`~؟?BB(Fd@B#Av.<62%S݇:] # /@J<|P=7 l:&J)b2+ -zN ꀑ6^OCtʔQ\Y*ȴ;Jcrnn(l)iW#q_ 7-I`+T0 cEa- 6g:^2 ^AuR6M ʷNES˖VD\KǥK/Y#O .$Qm{ZGC7F?tSj\XA:BrkY!HX@ ~Qt}/=W p5뤅FKCSٵwIT胊 RU+^o8yG nMU[G>#"lc`]z*lny[\?$~wX{uK1>Aဴ$vtaaRbMk3l+O7ĠCƏpM: 6Bm͈L~u##V !@Cus8ht&Rej1CӅHrl`Ŀ,w6i+'> Dë;?f >uxBO7 }pmL܉rݨ9;k0)ks3_3Ȁe)Mf2Qf1EѸ!lÜs12ov!;0*Gʎ}mڐ/{#;ݩZQM6!6lK!@Mx~303 p~t?,+\_F7NkӲ_Ts<*,xz0s䒤qe-9"B p[ӕ!#F'8`(xa :_7'͟1E7[&(˭_qh$$k2 @e,a.l.wQ]'Epm  z`NB!//k?׭`wόť.l> endobj 64 0 obj [ 278 278 556 556 556 556 556 556 556 556 556 556 278 278 584 584 584 500 1015 722 667 667 722 611 556 778 722 278 556 667 556 944 778 778 611 778 667 667 611 778 667 1000 722 667 611 333 278 333 584 500 278 556 611 500 611 556 333 611 611 278 278 500 278 944 611 611 611 611 389 500 333 611 556 833 ] endobj 65 0 obj << /Length2 17801 /Length3 0 /Length 21034 /Length1 3233 >> stream %!PS-AdobeFont-1.0: t1-gul-regular 001.001 %%Title: t1-gul-regular %Version: 001.001 %%CreationDate: Mon May 26 10:28:22 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Gulliver, Giant amongst Dwarfs. %Copyright: This typeface offers excellent readability at very small %Copyright: sizes. %Copyright: %Copyright: The digitally encoded machine readable outline data for %Copyright: producing the typefaces licensed to you is copyrighted (c), %Copyright: 1994, 2005 by and the property of Gerard Unger. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-regular known{/t1-gul-regular findfont dup/UniqueID known{dup /UniqueID get 4179227 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /YEEMZR+t1-gul-regular def /FontBBox {-115 -321 1042 1054 }readonly def /UniqueID 4179227 def /XUID [1021 938 1479029120 7154960] def /PaintType 0 def /FontInfo 11 dict dup begin /version (001.001) readonly def /Notice (Gulliver, Giant amongst Dwarfs.\012This typeface offers excellent readability at very small sizes.\012\012The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted \050c\051, 1994, 2005 by and the property of Gerard Unger.) readonly def % Gulliver, Giant amongst Dwarfs. % This typeface offers excellent readability at very small sizes. % % The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted (c), 1994, 2005 by and the property of Gerard Unger. /FullName (Gulliver) readonly def /FamilyName (Gulliver) readonly def /Weight (Regular) readonly def /FSType 4 def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -75 def /UnderlineThickness 50 def /ascent 789 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 88 /X put dup 89 /Y put dup 90 /Z put dup 97 /a put dup 64 /at put dup 98 /b put dup 91 /bracketleft put dup 93 /bracketright put dup 99 /c put dup 58 /colon put dup 44 /comma put dup 100 /d put dup 36 /dollar put dup 101 /e put dup 56 /eight put dup 21 /endash put dup 102 /f put dup 53 /five put dup 52 /four put dup 103 /g put dup 104 /h put dup 45 /hyphen put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 57 /nine put dup 111 /o put dup 49 /one put dup 112 /p put dup 40 /parenleft put dup 41 /parenright put dup 46 /period put dup 113 /q put dup 63 /question put dup 96 /quoteleft put dup 39 /quoteright put dup 114 /r put dup 115 /s put dup 59 /semicolon put dup 55 /seven put dup 54 /six put dup 47 /slash put dup 116 /t put dup 51 /three put dup 50 /two put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 48 /zero put readonly def currentdict end currentfile eexec oc;jAw-36Uu4 l.Nk48DPh>[7ɰ9..CSoZqO O)9OHl~Q:ɾD0j J'JZ `B 5ԆG tbY7:Ϳ2hK@,'$Qr[sLe{rr<8cnk}cn6 Uv| H|uO!nqR?+dM$2@G1ȅ +*E|X8$plB%jgcײt[&'%LiP ϕ%)}M{[&tת_ǔ@2ޓg: 3%=zB,|1.bld-72| PiMf,wYjnNP˺=Ks 5x7?3LZ h 끧7W*؀WӍte}چStG:\4N=-}LKS[S3= F5',=MXp$U.6}Gi0?@pKRˮ9ZT^OtiABZ"qbv!s+ywZ&Oxn(A65o^Oj;De0C|[ i-p&?Sw )i\z߮Q1prHrB/uƣ-EWP\i{PSBnܘH>F*# qFCG!Mc{ugҞQKXeŬhCg70{pƍO8~ulAK}世h!ߚȍ x;$niz;w*㭾˅l{ecLc׮R~/aQ񦡥JMrG2RQhsڪ6Wpy'Ʉ2Faɬ%+K,aY3$rPu/sh-ldž%N&.UxjR2a]270eV~U/> pLe3 PCy)E6ⴅ%u!/;Qui\Ҫ$h^84wUEJV],?GT*biSF_0`죐ɔ2FY]tIME~n9<<&S;VK*]٩0fzL×5&r£jJ |Y&ѵ^e٪(v4Ȼ9G75L&PZȎ O+KD^=_C3J镪N-.tȘ9Jqa%)1Lwpgğ`d`6)y"jX L6N)aQeFi D;ѯb;مaY N0FgFZY`FpnAH5) iC1JXg>)X$*f{ %3&W泪E?ڽKVХ(ˏG>pfp["tͿ%fro_):H7f $HF:M!.`<}CF달4"հUPĵA icw+SZϓ4_2hmaU2圂]I_44B~@''6P#XωX,VF{-ӛTf2wg 38\m=|+HfgR`ۘ8 ]4ۚnϪ̃wOmahvp7RH 4h \!;;*vJgfϝWUhz j))\yLz^ͪ9(Jbs '-)>xzS14s|%Z o-AԿNJL&1ϱ>3TA4)mCb3%T}Mڥ@z^Ewfv\ f ` _FToM,e2|vd?щG -O fLBaxDS4aC3\I;7]krf۴9X+d`^d*b[B4ybW "?B`6?; 4#vάu h!C9E[)5o e>);{&t|_0 SPJ1=~ŏOTk1Vm|?CՂfͺc},=N*ՌK!%)m^.r@bo+3( r*KtBWfe`9;Y*jBHS xAExG "<}oB>l]2RZ(/jNH`i{%\ropNΠ;bX១[+6n)pf@ ^c evGd[3a̾gGHv)3\9ruYɈ^j D]q#v'SuH;.3#uˡݦub({:)֒2L8q'y:gdxOvq0 RP qQb^c)n2^,>g-adssc_*m%BM'D?)FZ&{6Vb֡4trCsMOѺ\A*,TW  -@c%+?*##Nq,IR6 AJs;D%N6FA;s~%&(@ױDPMBa tCQ|D ]|&YtnύD">i"?ƶ_qQRN(IJ&«-IjHh ~Mmg"K:R|!Ito1fIeMeʟurde/XXOu0+Jvxr{A8 2ɹQi1E XU+yU{`D{,F[Vs Vrz2$-߀*5fluj<2^ uy_ٗޜ8d,n`Ī0k"RI9){$_ڄIܩxo\N\xVi֬9Q ѐd"{cꄼ)[%ZLP; tmg\BidqcAk֎bM*iP@o $wbՃO kd'UbyP[YԀv|\´AJKCYF.MSjHB9+.m"G  {٬DFxv7+f*Q&G̍kg` >1_aE62Z \I7r0D>e=8 ( ,g􆯵 *#?ǂ߉P]?j⃽*EߵJh.+vfpwy}ϫBb7f#j_ޓ*_ H tJPWGNռϲ@Yj_ܛ4kp/q#UkTqc0g\w,mGʿܖ1qEply'͙Qڇ̙f\Z1\s&0⵩afk7s`]AC#=v'rtݰfLʊÛo§ar6:7M=yrajQQѓ01#n^S˜І3CKukU50GBUN4f.Ơ,E@E?(bJ<6 q\WsX)kI Uُ2;}J6^7A\ϴZpN >6?o9S"[!]6X/%88>bڥ~1M$z 3)"B-q(|:Z2K]f)nNL/EmZdA"̥/%Jn'3.3Ҽkۮ}\>>=Uq2!ٿa]wrZtmg)Ad =";xg{G9 9ltW!v㦔)殶CX:#wQ*LH"t:hCQy/gdKv"CT`Tl2ljT.mlɨPU;pm#ۇ;p'lHӫ:@Pq ѦN̒܀Ntuon9AymA44ơ S:7@jts=8$)"!恜L?ټl/@"'O^+cYk|b̈P@b_kkpb>]::ɤ,Ʋﷰ-׹.)ҕzͲϵd9di1H?ˎ@f0E(3\mʣ1o ;zzwn^#t*mJ3C[ A2<ܐ9ЕȤ iy`tWBh=ۣ1FcSc]q"#p݋PW՜/]w=7}iH:9Aӳ~3uJ%wq+z˪~!|H":c@H,izUEGp 1V\E$}vj>QSlt5Yz#;#~\ K;r8W=q`v\cd_ees>QQ*F,t gdF^w[^1 Dw)gGDڲ}AG@C1|j"@.4}"Z«s3 Ty Fɮ8rVAsX9c[+89'Lg|yb>񣲪|N6a8˝t~)o~r `hl:ݮ6(L _S 0ʑ+{WIB[)M+k(vhI!DR"/rC;O|8OfPRm&&r(MDWՂ;<|LH'T $0ƕT\n]9).7qBCѺA4[x-m4d @v#څ]=ʕ>ŃbǷIJW$l0ߺ7)jŦmbʧJ5>'!;#T7=kvU;K{9" c\Ef CXA1GO\ڡ0*]&=j$fNS v8:={=y'h䋄3uȪ;|^$0L,Xh L?M@X~9UQ5`4_\ x_)顜I@ 2$6SS$Uh6HwL}gPo_OIOR͠=8fU%Jkf*AB-&$t.aO\r9Nɷ*#t뭵YURuՀyp6/>b֏X]=)9(m%wcq:kyrX6HΩp!TC@Ľe,΃PTخ.:C]LSY2!!B(E0TL8.:9MW_uIN2mp[s{0ʇsQ׬Cڜ; Ƈbh2g`%@p{h}ٔ^yG5I%+N5:kq;[}N 0wXbAfj1[v3HA)B4NuB'WCt˲6a[ 7.d{7`gSGu.,f=}.ؒr1Ƅ?ˍ3Nb C<=2K 8岘\>@wzͻejMFz؂ۃlθ)X4úi^tcd9^4#A{I2S &2U[,*9p mC ]pC85&* oc l]R莱Bm2I(݅pPOf!<}i?Co;Bǽ$9~\4\pTg&d!#ʭ(a<Rcm>ǘbT08L_D%^ 0-~Ѻ=KP_KT+3l0ɈA_DQz@y Q*aҞz.a̻)MT~Q|'d,^eOB#Q=Rnj2CqQ,2pp.0s3`I1^pJFEBQ3ad&,8 h"U2I0Ttc$WݚIEf]_wB"1!=&D]`Mv㬘p -Z" ^4M&q"oCis1Oem0[ L7;8iIѐ/q :<H")}dUx:͹&Y)})cUVoT`pť,XE1U !X[aZW%,Gwc< }eD*d#lm_QǠdQّufI4ƻlǝ H5d1y`A*XN􎸀Xu[,9@n@l1TdNt[E2l?qlG8 v rPII\6Gg`[s6=2Iߙ%ᰣEns&35-vGPמ߈e˿&\-d$3p@*d}쌌i$+}wt0 w: Vgߙa,J >"GsHbk@c'-,Y`F\3/GbZW(r2\tM Q*܇~e501 Mx]7+tsi*Eژ4;ާU(h Ce1ZMqmM TG;,0SXd٤ADn>Jfo \p DvJ+k吸T00O9/ekS9YTZn^8|L== 0GߧO>yp=vδ& P{ք1sϐsA1?=YoئPl!@~êS>&4.M'IZ,?jY1;_hv#HWrjJy|6LWS"K~"ƉI돟>>a“c*7. [ rkc+`quv -_x|WyѦSdi,}zXq@ɓ>ԼGI՛R(Ly걵 h{$&~_5e8 {LK~o;▬4*,X+<ڽqo:kLM2x|hų_M~dUKLvz&;B6@/;cGDsg(PDM&/HA+ 4z0+=i# :n:cPWƊS% nߵK VG-h-b%Ŋ8wKܝ<\t`Ҕя,uuKh5^?xC WMP5vܡ7[og]*0jxuJ'L94Й5J}@{Aҧ_t,91̱o\da?A 4>aJe[]Gڝ;`G:,TM, E^ xj{klAҖ[ℸ"#=ne$z8BǬKU#VB7a*pK1CҧLtHtyEÃ<0cjb2O¶`S BHD#PfH\Nm>PMm wF_mh {!1^;T!C ߝMOo{ "Eg\`pu|--< iB§̄dG8g\7e d2;ugI]ÊZIU'Kn||S͒ʱK&d)ZcX9ǵZs^[r^J2fj i"ڷvVOFHAY=WU%]1 $qDbZ)P1 ohcϝd&ekU:EV(V[A G%@cZWxkr8__:(YcV:M7\ZƤ1Fadt ,rYU P[)*;]wE (AIթxXg;8;ķIf^+ߎyX4Ճ!ohIh( 4ߵwZZzSbv0RѬ|![NVh&KHo,wE$ZӊL`Ĥ> HPk݄#}q{6dс1a=8SXg6=>U'sL il]-|xHK#4 i9ۜ|T91cHx}JWD!_Ɵ7~ݪWE1$2ex]x+bcv~33_"z@\Ԍs;8ybn^_d . N&{q|D w-aNߧ=r$<&O708h@a$DŽڤ{.(*jB hU#D ps"sbu}qɏQHcohp˽6Pc{O[s#d_-dk,;ur eSZzҰNύedVֳ[h tQ[)!Tf+ &T@g(]y "4}D.q24dFgSpm_N61*.Y\F\'aH<$2R:\CL?}SY% ?oV_荨3Qt[lQs~b24Gq,NeGh%6QgXBʫ7T|vi@1=`beޏHUCRPqp{!>Og讔b#e} V}z^⻆s_xou'C/Z/V|6w㚧"e~zg'nGl y6(v5~pWN>nWCd5ڗ1DŽQpոnxdgpY !s=:@`2 F)7;SqQz0.d8H7>X?"ޙ[is۬ ' X0Cb|y^Kei_l†v,p;.9͓{bD.>risSĖW`k h;%Ʀ~RX~\t@k)m9Wg4= qqI8? ^6e2{Иnվ6_%+iϵ "QJ< `IuQh!ER#uFn^=UqeBVl\WS5($xRWa"ƕU/PJD{vp :7Ga xdWA5B.}`N͕")_jYȂ#0OWz+jGk$@$:opF}o5I`PhP1?ec/#<G ` ^ʴM27Y}MAuOy<ڷ@TysJ#Q6j.F_[**G?\$ ?(&Cm8Z܉2;cݰsާ@mӓS֦;!:DG+mԹ u#sTW .UDjr.穢W]*# \VRk@PYC2fNbMҔe فlMSة%1H[CYn:K*.>~O%кI2N: YD͜0Gi$Z,Ưeƹ\+~,իXyځCmYt.aݱ BAd¢9pa)l;%lVoB/+FCE#f OP~)>Q[C+.(wA)0oqqf?#)S_C^O)Ln_@L׈Wy>3T"4ߑ3s %XgsSƟ J rՁ<[zv1"YjeY=̻ g:Po"h rԝ6xiYH, }%@n `N($:ww}ދ6LٵAM8+<;~Ec>zZ߃5=D^#7e9j $#ۍcr<:\(˜TQKlΎ +=̘m,KM:]vU|zG=RrLV#{Ӡ)_] W#-?0׺ΔdYݍB_H)Dk?6 `upVuRt(цrCIq|qDAԤe$o 97v{->*[AcFfV00l4x`;~2vYǨ[9x{sd k!0i\k$DůWKn@nߝk6s0z2g0&F17H)&2"n%ѹ6t-aBeR\ xP%c/%gZҗ2V$ j>jZvUޗ% QNZ!~ECsr is8UCRDoi67: ɽ_i HWCse(m")5n'%lAybN:5D<΂e++hu7)Î Ks>?giyʮˌZ6;np6VredNj#5&Bu)_ڰzӇ";O-(!l^0*"TWLv>8ȾNA_]BL9SѨa|:oEpN D:|VPR8݈_C ͒yX$t]i$_w Y endstream endobj 66 0 obj << /Ascent 767 /FontFile 65 0 R /ItalicAngle 0 /Descent -211 /XHeight 542 /Flags 4 /Type /FontDescriptor /CapHeight 767 /FontName /YEEMZR+t1-gul-regular /StemV 96 /FontBBox [ -115 -321 1042 1054 ] /CharSet (/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y/Z/a/at/b/bracketleft/bracketright/c/colon/comma/d/dollar/e/eight/endash/f/five/four/g/h/hyphen/i/j/k/l/m/n/nine/o/one/p/parenleft/parenright/period/q/question/quoteleft/quoteright/r/s/semicolon/seven/six/slash/t/three/two/u/v/w/x/y/z/zero) >> endobj 67 0 obj [ 579 820 0 985 299 306 666 624 619 940 940 1000 456 428 685 525 623 695 234 370 369 420 549 234 411 235 352 579 579 579 579 579 579 579 579 579 579 352 352 549 549 549 538 784 660 604 602 717 564 509 704 746 310 312 648 499 934 737 716 564 716 618 526 558 716 664 1042 668 618 565 361 352 361 549 500 235 518 579 479 595 526 333 542 606 300 306 556 299 927 606 567 598 586 410 446 373 601 542 859 555 548 499 ] endobj 68 0 obj << /Length2 17145 /Length3 0 /Length 19716 /Length1 2571 >> stream %!PS-AdobeFont-1.0: t1-gul-bold 001.001 %%Title: t1-gul-bold %Version: 001.001 %%CreationDate: Mon May 26 10:32:29 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Gulliver, Giant amongst Dwarfs. %Copyright: This typeface offers excellent readability at very small %Copyright: sizes. %Copyright: %Copyright: The digitally encoded machine readable outline data for %Copyright: producing the typefaces licensed to you is copyrighted (c), %Copyright: 1994, 2005 by and the property of Gerard Unger. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-bold known{/t1-gul-bold findfont dup/UniqueID known{dup /UniqueID get 4090458 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /SUGESF+t1-gul-bold def /FontBBox {-150 -371 1131 1082 }readonly def /UniqueID 4090458 def /XUID [1021 992 867865856 10469850] def /PaintType 0 def /FontInfo 11 dict dup begin /version (001.001) readonly def /Notice (Gulliver, Giant amongst Dwarfs.\012This typeface offers excellent readability at very small sizes.\012\012The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted \050c\051, 1994, 2005 by and the property of Gerard Unger.) readonly def % Gulliver, Giant amongst Dwarfs. % This typeface offers excellent readability at very small sizes. % % The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted (c), 1994, 2005 by and the property of Gerard Unger. /FullName (Gulliver Bold) readonly def /FamilyName (Gulliver) readonly def /Weight (Bold) readonly def /FSType 4 def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -75 def /UnderlineThickness 50 def /ascent 789 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put dup 67 /C put dup 70 /F put dup 73 /I put dup 76 /L put dup 80 /P put dup 82 /R put dup 84 /T put dup 97 /a put dup 99 /c put dup 100 /d put dup 101 /e put dup 56 /eight put dup 102 /f put dup 53 /five put dup 52 /four put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 57 /nine put dup 111 /o put dup 49 /one put dup 46 /period put dup 114 /r put dup 115 /s put dup 55 /seven put dup 54 /six put dup 116 /t put dup 51 /three put dup 50 /two put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 48 /zero put readonly def currentdict end currentfile eexec oc;jAw-<X2-Τ^tE_SKF1F^jNBq{y4-Fgbԓ{"WB:rP ?dgS%|'ؓw&F7JNL9VRtbT5'm\N"K< wJv$tE;D4Vܢv{oߩ?@(L[ov#0z[mW9GU@$ilLѨ8Mp!29"u]XoM^ R`@KP Ѩ9c~VA-۩+-3G?ZvrKۈsy7.iXU#;߳Wį H~zVbh'u]wP^I-?6\T"K7& n-ku9yD#`itϳPjǺs8r\B^ݼ 'nMPskm`TWF}]:4iX 뿉N^fR,qGظ֠yNx^r@])z܆L{9[U‡n9ơf9Wn"'X͘1#d E+3Ll\.S~ٛ_7ߴ1 N4.I#'f˖7ݩKi0L768 T5l3>HBpPxeU] 񀆊,^ S6]v>J~iY XWgzK$'Q-긇H!V܁d!;d4T5:,v#cK*;+zXz k =Yu6[T_}Mi}p~.<#8ϵew]1~W/dTD6N?P`0 &q+]<4[~Uу0G6m#^x#\Ǽ:X)/='KWXW37tJe pɦϐrߙ|j,4^"JCZQyvf7\ /O˫\Q,ļcE7]PA+<>7y:,,E{:}1\\6W% Ђ ӥGy{cdܠ2?&\"{HUc ġVLԅrl5 92h羦`x@m}{$H')\Q%"*G9=S._y!P>F~,w*5i1m@S,GV3~K̳'Ҁ&gK@6) .r8kV)X';! X:OeD=ڗ3.J2 鍓t'qc,nrb-?nk]F&^6Ņr&H+RH˳!qrGw`OL^)(:-'"kțrS/[':[HCPGՅupj6B B3 {Go֠i~Ġ| DƠ=V8|ܝU J(?qԏ-9Va)`\4_"YO|,:< +JAǙ>DPZ }\0>Va[E:5GGG*+B9 #V<(WU>70K鷡2&><";zFs0`uT-K|jQ;YMK^gttsB/FN]NODQXL06ܧy.YЙ<p(Pfih6:oԏK^ʋqʔ"+In (GcX'X(Yw(*}i8zSA~&c[b.$((#j c$۟ۋNb w~2:0*,k]WdcPmb,/J(oR> ϴhծ'gHE봳&YЄ-l-謴ț2>5;bA*;8M؉}I1n-'+?B$<=̰z_W@Dͩ)_됛Aic=DP ^,Z-RѶq$A<㪸M- E9d2wÐA]Qdq!mW!e1 7R>wTlqMSiЧvqdijb\kG3S tdmo_oY_ @4*MǮ.LTK agg;5)" ;G:kkbZ&ܒ=&Ю{2ŭB@bxS8F>@RF>qHC|ua p 1O-.i>;Fωތ%"{?1OK K%]D~ C/7} <]jdET]F\2\'J$+UIG(ꃣP&s'}"ݯ{DTECӼ4gʂRok`$w$v/J*YWF3)mԊPkJpȖ)=+%zA%km}UO7[F}e[n5FߤU$hpDZY$*= F(a(!UĊqۇ[4X68L-ؽ(GM)u6@MF2'#ZC(,nRCS,ҿt:i 5l:۶,9M4ے,SYp1Bk4+9 & z|qżDԫ[C"Ak1*a*> {|?q9/ J=`+4g7&OEG]p]bP ,'e/5Ͼ2N0O3AZ PnWI)NfgJA\)d?!eԮ| Wj]lMN5ۧ"OcrHAԖnIfyt,KEVd7Kv?pE/f\X} :3eCT{^i6UUźw&UY)cCcS(Y cjlU/xmޙ(ߙq5 ]oja5cX2>t+ &f؆0pO +:s$R-2j4oƲ"mnu7> « L*9iD/[EM"uEYND6|SH̤#ATAmrxy,[|gdyi꿖%R-p 0OD@~3ۃ7VJxY)ZҼҾU_|ڗn2Mȕ^nfzf O|o`:O:h є=HL[^np" vٓ'rYrl_42ԀYEfH1Hmk c230C[O_r@[sۇmj)?n^O~}aPpSPbCkrZž]AX_ sqkݔ!>֋Pn;F$$jme~[љʂ񚋼BbcY+fZ nCMR>ҶϤ/?r7Ůʷɏ#i"8"Շ%<úJow=;eДO5.{T]~ъdRzE*.sr8{#و[1{5>nbs7cR(}}q!q}&]u YQLYt.Bz(ySJT$u 5ذIz\1V>^o81Jj* !E(OC!.Î} ϧfʉk~֩qS ޮHk4tF0YaM rmBP/<@ē2Je=Mfࢤdbݰ)P c&E.hK C#[VZz8Ő C~@в!;!el-f:6$֑sgF9VBYl˰ZlV.b/ojݗWB╛ְdqd"k.kf(l^gm-I:.הg:6 ߭q72 9;dZG4ý}:qApÏacDo4?K8N%}BrmjS *Gȩhx{ #{?x4%*_j5F$h)R".I Dk KtT/%h4?d]^ͧ)*/Ofk97`NmH7.["Pu*kH<-R_ICyso"~e62p t+Ak:Aj˕Py"ו])iQq,5Kx1. zN%`20kq9V1m켭0wZg4}cJKH3P7ظ#:H}]ǀ%ʘhf"3CC MR5DQ@2B:~5UG;T??zV\]y-n Uk+`E` nװr\0 n-I4v$4}J"WbnBX/И<;xYP; XS%pgZ2={9]HJxHYok]iLҸ;Wf. NɊS#^"Iy;E"nވR&UtAOv=`-JKh jI;ӆSǸE$̜-;L)rA1'mւ xG[Φ>}R4/X!T G&U:hDHZ;KIEM~8 W* 0IMDZ.4w,|N䴻9rnƂ[ǹϩosӧ:F/Zlp&hRc8=LeȠw\᠀\)y ֋5! !^M kS&f" 'xu_bd0H5[=pކ^].Ld}av|2TƉs ?lɞ ;e9$އ<Ѹj, vNR=₃ ٵC(CU)RFN67#J- FHÆ^qgSs8icgc%9MM !^j ^M>>aKfl%y&,)UI2M Fp9Űvj:dԿjPXK4Mr8HeECWL Sh|`"ţY@7S3=< 1ݜ}LGP8nqg;Y[N:,w6f*ذ%"A18H,r73g03{#Yɖ_C}zkD)G2yrM8RMn[@w8d.B}ޗZ7.0Ag?!rfp:\O9x >ӱ6mKp/w 磘3fr^u2%YzQf=\"nI?M76JTE-;ZhO ҷ ,Zug$ 8P^ӿlHб CO98Y: >]Ț:k 9nBJS穧ٮ? o+79_`73&P#iHK|+"nRjG|"R-ZY@F(zh zS/SB PF!u}V ,a.'e9 怂ArRGotk>j|UƥUIb*P ^NۋbEoRq~Ų{OT lW`\HZ]"O@u3w6M"?>09aY_!!S#VA r~GO{SD֩#y}Pe|1{A^o"4r˨?Pt Q^GպϔƎ@]kSs#jEfbuLG<3 #ȧ]Du g\)7! u~.o`{Af%K>ˆsZ| A.A)1 UڷҠ:,Pzuo'aR-ox((Z3{"1x}YI.?[ d[ҧ-m`T \SdD0Kj .cK?whYWDdSjX́[`Z\x/JƎG<Ǯ'/EۼOsZAߞnP&k<,fƙ #B/>a6RJ/GGRUisfw0]?'SJ]hM ȽȺи; 6 &quu31@R xU1uXvIbHICg567 #e.UuAbn_WoDrݑՆHjo 9U6WII9pd)Wt.n`H߲R;Hb.6-@]64 prOQbֱ"CkJ9&A`E"zTfbVf<4RwRfCˑi,j|5~)630+tp!NU|z'j+\2i8n0 wD D,cCC]pkJv5[eVzW?\n+m޴5.+ZBqL=ȝxU3aJ jLX!N ϲGNC.Olj_`\Eȁjl @244䠐'SrD2cb͵O3悝*J 'e?tt*\d$1vኇtM ^}xQ}eP06`]Z @tw)Zq/|ycߩX+$%UŊ;M"ZlW ?(O3EӔa7q!Ga&~@:Ckij-g j]״[F()Czn2hf E>2ۉe)_qH{@Ѯvp9Ɓ&ܟU5NDKQ{.n"V&8Zj*,i4&RD)oAȢ)RԖ[[X%J[@ DO]|I"}nM|iy>b͸=ز1Դdz6K`ijոG;ɖK+<T" 9QκXj5-;uU2qwCZ=ۑg]p Hfi*sP%+x ֐e.jɅ2S|r3ӼfU 5,:@w6=D|#'{'l߇㩯tHj5wizM7")*yh.w3MhxWImT >T X% ҉e.ÀWQ!ݏ2=ToNmT;q8{guʣW`ט=)au:B[/s~F 6t2r`@6E@c蓠)"go,Ws1_c_ lu< cUا&11vޛb:>:AqCWԸ*'CVhZ ڞZ3@ q59 w5 `5F&06 KΔ Ev'9$ܑ0ɥ3do|<@S1i!Hy!OšPjgRrc&*s+mt>HU8UBɪeCFפM8rEU`7$9ሲ`p?.r1Zz*1DxG~n Ch? Id)) 8gL- ;W" %1oG\₝C/lD!8yk]cٺL6? ?=L_ф T R2h۽/Tk`0`E;Qy G[W5- QU)٭m^-48*q kCH#P蕛^ ݰMAwܭ iA*j&6 .^0|%S#y Gu8E'gfvA`U:{졿 虿:dJ6uwbo٩#IK36TH1:bzY6o/yx 8L *3{ A1}?p ő`h;{ZS  0IK_dmvڢ`{WZE.%QT$f _5M\nSLS Xr%' =b\T'73pL^8o޳InhROsn͡j,W G:(Q:ŘRh}PyG#d4s P4ߏx5F?*\x;/+/{p2|d扞׌`#?> jXFEA˜TD_C# h ~j"ub8b!F U!"k &ąQ{CUϠjxz͹T#-ҫ/X oC [.{-$w?7@P}XRL.HȪ8ns5 Vc|bsWM73xZS(M2rrO/[%|8*շ9"yHd ɭG=ox v 86HxGۼ(/(r ڨ#;Nu)p] /ɩ4?}Ա :j 5}y-U4岹3?n Gyl8P%,qXl~;˧;k(gJgL3(OpW@-ȫ(y*#|#-}65ICj/`=Uhh fc#0J)u!JXr_0Z@/t:z,@FZbn%y$(NQ#gTdž6Vc*vBKUy&)|ALct +lo!Uz_$/.5!ij sᎢy:IG&fn.SMTe[0]M;ni3("8T-F:ls"B=|ZXSP%,q|`YG%hzۂ)<e Y{aml|hrE3 @i߳ BvѻqX,M%B,D!v RD@&T~G2s|0ΐ͸Ģy~~'w#wuo TSQao `Px v5{M!rv͸lHNĕVm@%^ f>=+{."ݱ$Ly✵$L.ȝ<4N'KҚBPЃCԑ C>E]"ֻ:B!mhߜ S&?o;2GǻLm_]mem7wa1dnت1]nRj7(BԵYeMۋa Ѣ):o77uN8aAW?z[iÈccv3x%,+\ m/&-(`))Ĕ?dv(G| ,}Ls ~u2xxvd7</@hz/ Eu .F*c\c=mfLDP͟Tڄ$ SLa 6()o{g%6;̹O!sGDZ)?cU~Ò?xaY:69 ɾ՗A۹r =Ѣb^$]:J'M*K5)_ߍ = WղmU/Vpb0܆5a-%_[jG>U)o[K7lCr LO;ҽ' ʏh`A]୮fdRw D'I-|r?z,A4d7^Eݦwnf |Qu*V57z9l'VK|3`_vܨV^ϋx*٢ 3oA^* b;4xf 9x*5rgSaoJ6/??`9V~i~҄/ngaOD? Г91KJc}8wBT])bA~3D3xMeQ8 10+3E:n2'M}؈ShFG5 cE)1Mz4nMjFS kΖ%s(y_Cō=x{[WAօtl=ȰNGq;hbf=x w9g-)Ij1js,m{&ObϳFM/KAqg[r^J @ۀ`N_kً^vW\+;Q~Cv" k?YN]7U[BHǼ;C,IL*R RL^U^Au^jש5ޢS^#ʚ\72n" M(sBK*d {Xj:l9ppYqkGOJyUw- )~uY\"‚E>n1;2 iY]H-EE&D.j&j_!ZS!!wniTh,Ҥ$oT53Cm $T"+*Kװ(St|h^nD4~AM cu;t9^>{£9Ѳ<"I3o /.J4'H$%_%xʍ /]@LT:%׳AbYDi )'o4QJ̰&`dZ q!fs 6/x'̉ Ntsژ^ 9Q'+J ,b6 endstream endobj 69 0 obj << /Ascent 779 /FontFile 68 0 R /ItalicAngle 0 /Descent -211 /XHeight 554 /Flags 4 /Type /FontDescriptor /CapHeight 779 /FontName /SUGESF+t1-gul-bold /StemV 174 /FontBBox [ -150 -371 1131 1082 ] /CharSet (/A/C/F/I/L/P/R/T/a/c/d/e/eight/f/five/four/g/h/i/k/l/m/n/nine/o/one/period/r/s/seven/six/t/three/two/u/v/w/x/zero) >> endobj 70 0 obj [ 256 289 582 582 582 582 582 582 582 582 582 582 310 310 549 549 549 533 872 672 638 604 726 602 551 671 756 346 337 705 535 936 736 730 627 730 662 528 572 728 675 1040 701 635 598 381 385 381 549 500 251 548 611 499 622 541 378 566 651 326 324 627 325 979 653 605 618 610 452 458 398 644 547 862 562 ] endobj 71 0 obj << /Length2 1259 /Length3 0 /Length 2540 /Length1 1281 >> stream %!PS-AdobeFont-1.0: t1-gul-symbol 001.000 %%Title: t1-gul-symbol %Version: 001.000 %%CreationDate: Mon May 12 14:48:11 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Created by CV Radhakrishnan,,, with FontForge 2.0 %Copyright: (http://fontforge.sf.net) % 2008-5-12: Created. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-symbol known{/t1-gul-symbol findfont dup/UniqueID known{dup /UniqueID get 4083185 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /HWNAVD+t1-gul-symbol def /FontBBox {5 -213 895 789 }readonly def /UniqueID 4083185 def /XUID [1021 992 867865827 11599217] def /PaintType 0 def /FontInfo 9 dict dup begin /version (001.000) readonly def /Notice (Created by CV Radhakrishnan,,, with FontForge 2.0 \050http://fontforge.sf.net\051) readonly def /FullName (t1-gul-symbol) readonly def /FamilyName (t1) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 39 /copyright put readonly def currentdict end currentfile eexec oc;jAw-6n}H#vݟ~Lڎko:FVvixؕBv0_ dĮ&8`}-AʌOǦ\Q]&8~a0[V2v)}H6p4aDPf0?IGrq㋒nDJ,52 HEh M/Z1hR 3 |/AF>"6y<^;CNJ idjITR⏢Ɂw'ƺVTqرޡc%C TQIC:/*nX̅M}1ba) /h6A!7\PG|~zh~8^8s!BMYI:ꓩua!7h*){7sw2zI۳V,DK-yp~ONi8&ǁHkZr!U-UlM2U6cN=h",Η`%-9 5DpHa>-YÜbh@@XfY|M#X ž endstream endobj 72 0 obj << /Ascent 0 /FontFile 71 0 R /ItalicAngle 0 /Descent 0 /XHeight 0 /Flags 4 /Type /FontDescriptor /CapHeight 0 /FontName /HWNAVD+t1-gul-symbol /StemV 54 /FontBBox [ 5 -213 895 789 ] /CharSet (/copyright) >> endobj 73 0 obj [ 790 ] endobj 74 0 obj << /Length2 6536 /Length3 0 /Length 8760 /Length1 2224 >> stream %!PS-AdobeFont-1.0: t1-gul-regular-smallcaps 001.001 %%Title: t1-gul-regular-smallcaps %Version: 001.001 %%CreationDate: Mon May 26 10:39:46 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Gulliver, Giant amongst Dwarfs. %Copyright: This typeface offers excellent readability at very small %Copyright: sizes. %Copyright: %Copyright: The digitally encoded machine readable outline data for %Copyright: producing the typefaces licensed to you is copyrighted (c), %Copyright: 1994, 2005 by and the property of Gerard Unger. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-regular-smallcaps known{/t1-gul-regular-smallcaps findfont dup/UniqueID known{dup /UniqueID get 4084430 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /QDTHNW+t1-gul-regular-smallcaps def /FontBBox {-115 -321 1407 1009 }readonly def /UniqueID 4084430 def /XUID [1021 992 867865856 15320446] def /PaintType 0 def /FontInfo 11 dict dup begin /version (001.001) readonly def /Notice (Gulliver, Giant amongst Dwarfs.\012This typeface offers excellent readability at very small sizes.\012\012The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted \050c\051, 1994, 2005 by and the property of Gerard Unger.) readonly def % Gulliver, Giant amongst Dwarfs. % This typeface offers excellent readability at very small sizes. % % The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted (c), 1994, 2005 by and the property of Gerard Unger. /FullName (Gulliver SCOsF) readonly def /FamilyName (Gulliver SCOsF) readonly def /Weight (Regular) readonly def /FSType 4 def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -75 def /UnderlineThickness 50 def /ascent 789 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 97 /a put dup 98 /b put dup 99 /c put dup 101 /e put dup 102 /f put dup 105 /i put dup 108 /l put dup 110 /n put dup 111 /o put dup 114 /r put dup 115 /s put dup 116 /t put readonly def currentdict end currentfile eexec oc;jAw-36Uu4 l.Nk48DPh>[7ɰ9..CSoZqO O)9OHl~Q:ɾD0j J'JZ `B 5ԆG tbY7:Ϳ2hK@,'$Qr[GB_720 qs`a|Xu\ӅZ?.PcN7.?WֺYq^$^VA7Up c?{RlG9a% #SȣP^-qTo8g^Z#Z #v.Cows?**hfy&;D bÍ!*=8-T9wPa4ԩ^vqB }p ;?IX`D-5 %[!Ӟ1o gn/yhgD`Ce}zB-8Zvʼ-ki8˹HCW*e*~V7gHmWrM)OlPlSN hUGXǧ=v%vӈ ^o66'%&AT( uw7 :L{|&( ,cY44rf*go&z* {NhJl0r1xР%syX\8 ]n`85˲#sBIr:lr܎eǪ7o~!sPAz18xA նNthTw6I[T]`T: v5Z*nZ o)f{H0jer9;Q"}l|a/osARS#݅mrnWe$h1Љ^XY{c+qi|l#mH PJ uSCB`ְ{FflVηiޢɊڿ;%rh0x 1y=XZ |~{rwy)&W$.6K6'ؘǿ6BA%dד\vu;7w}`-!/@ )$9vg޽ȭ2,8tv"# 3 $Buw`f aMG8aOһYbI#mM E.i [qI]4>stU'5upLQvE\ oG~$T2i=$v>ÅN.ȿ&6 ?XxKBal߉X+ıybhrm:dïi9 s܋J`I>:X|xE6l">\#M^>)Ʋ}}s14_;ũ yW-D}#/WML윰k7q7t>O@tlӱ%@WǼD^P ;1 ہZU0jm b{e(zaX ,9s~ƣK ͔?;8C=" C; jc: vhu"w@<]Lجt^}2 ԍnK^j*-FK8:s FBJ27+EP A@F''` H+O 9kI^SL<}Ir>4P :)H1䁜ž5[_RUCAxl=_0 p#ks-K~'G OS@~zk9j?qeVp9rAOAM;n] @`}Bx*QVO9_y|=I_ 8ȅQ({KqKbAanm *.Jh-a~Q&wiܪtP*AH)Hk&E}ZOmzMo\ ּ]8JvxJdo_P lz*o{ۡjWհ#GMN].ɨ2e'%_P2̬W'MPAYQps]_HNs&zt~몙~?K _̤H4GyV(Akj.Q䐧HJ:ux\jLFzoSﴔd!в.- cmnWċַ|Flb`.Tv#HYB\)UґV:ҳ?v?&$AOF GlxbF(qfƂgR]8vWJ7krx7M dyF#qgݸts5r ֤cLm3+NW0: )AI!%A7vac;2FERVނGdE90N!tʆH7l#V]^%2ShԿ CΟ^c.2 ),vo,{(ݞK:LlwM 2Y_?l6EPA>YlQP?7Q%1bt [-F˕<1BoqH D'sRrz,Ռbct"׳1&&3e"G Ƙ# 6|a.T_gCAkm z0Hy-~D"i/3SQEfab6ttMgVMvqZ{."3&Wּ-K$IOɢgz3],tG x֪!K3s(r;h[;pq[^[El2J%HZ9pQAQ7?k11gEbc+ktZE XxKBE{6tNa RSmBD}Dpft d+\|ɃVS+C.5c5 :Mhsė Sc흢ܬJfKMمS*)HÑTۈ~;|ӖJU\5a5=i=ljBDxq!X ̦vJp/Y]D0T Sr;y7}{"NV!![‡M[,jzyhWe lUbڌAz*Bנ/#U/qۏ_ހRVAiR2MO.]LaiN+Uzczi :`vrtWA%FNtQQ:_!؊H ;`C=K-վ3$$qStV,O*;Ky󝳻|l8D0@,e9dvfCS:L7و_X[݇0nc]W3[@gN:hV\LY6vNQXPoRUcc߃'LMs!s'%Rᄟ~lfhQDLn7E P\O%9Tj]|Fe/2͹R tَ@9.-~Rxը /W)Jq4ԓˮbd|)#MV;lY p%9ǖq /s} œ8L6&Pzb G:&=W5F$h1Z~ :txkOk"X%.(AZ(1cH }C}X~cR [`?ձ\c %4ƫ/ 7kct=!Zɸ"/[818!tqxQq}([`$6ɨ߂G*9tH戥>M/&.+MtG1MG(\8f#7p85 MfƭlO8'eq*5ƝDV47L8sZu\ƿ qP~5r{P|)q EDsɺ Yɇ[WSbOH,ƞۏ VF4V Zܰn .ow_吵: %<*Y/sP`6#hlWg6Y i*)fySc[-5GwoK=Ɔ`7%(F`G_\? &A_^7` ڞx᧓1S>%!< D?AfL̢o}P< 3Zq{BZKAM b&<夔3@s"f_t,בwAˇ-,EK)$6ôOi]KсylZ~ nYNLNbXƻ0Jw,BTHgђSD-\fXC#pZ_&0L:ᓎ0_eW^]ԑŲ]b:LQFWIurV~W=dH#*7Ѷݎ&Z5˫wƮ3o{ GP AzܿBK>&Q]V[:]Fq%ac7xStGp w eꅟ87>d& P(y*{j30ˤ~4G_9&^:]R TQ9&e@as`ij5W=\5< ׃`KD ЗS#| )""9[]?ç!,>(;$+IKr? TR'g>NPl`6CmQ{,%>rtFz=1sQ^TfMpδ7W$WBB#~%jĸ endstream endobj 75 0 obj << /Ascent 564 /FontFile 74 0 R /ItalicAngle 0 /Descent 0 /XHeight 566 /Flags 4 /Type /FontDescriptor /CapHeight 742 /FontName /QDTHNW+t1-gul-regular-smallcaps /StemV 96 /FontBBox [ -115 -321 1407 1009 ] /CharSet (/a/b/c/e/f/i/l/n/o/r/s/t) >> endobj 76 0 obj [ 550 541 528 628 510 476 593 669 316 307 574 455 822 652 611 520 618 562 464 479 ] endobj 77 0 obj << /Length2 21009 /Length3 0 /Length 24028 /Length1 3019 >> stream %!PS-AdobeFont-1.0: t1-gul-regular-italic 001.001 %%Title: t1-gul-regular-italic %Version: 001.001 %%CreationDate: Mon May 26 10:31:00 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Gulliver, Giant amongst Dwarfs. %Copyright: This typeface offers excellent readability at very small %Copyright: sizes. %Copyright: %Copyright: The digitally encoded machine readable outline data for %Copyright: producing the typefaces licensed to you is copyrighted (c), %Copyright: 1994, 2005 by and the property of Gerard Unger. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-regular-italic known{/t1-gul-regular-italic findfont dup/UniqueID known{dup /UniqueID get 4109950 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /PLUIHW+t1-gul-regular-italic def /FontBBox {-141 -321 1053 1055 }readonly def /UniqueID 4109950 def /XUID [1021 938 1479029120 1353546] def /PaintType 0 def /FontInfo 11 dict dup begin /version (001.001) readonly def /Notice (Gulliver, Giant amongst Dwarfs.\012This typeface offers excellent readability at very small sizes.\012\012The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted \050c\051, 1994, 2005 by and the property of Gerard Unger.) readonly def % Gulliver, Giant amongst Dwarfs. % This typeface offers excellent readability at very small sizes. % % The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted (c), 1994, 2005 by and the property of Gerard Unger. /FullName (Gulliver Italic) readonly def /FamilyName (Gulliver) readonly def /Weight (Regular) readonly def /FSType 4 def /ItalicAngle -8.5 def /isFixedPitch false def /UnderlinePosition -75 def /UnderlineThickness 50 def /ascent 789 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 72 /H put dup 73 /I put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 87 /W put dup 88 /X put dup 89 /Y put dup 90 /Z put dup 97 /a put dup 98 /b put dup 99 /c put dup 58 /colon put dup 44 /comma put dup 100 /d put dup 101 /e put dup 56 /eight put dup 21 /endash put dup 102 /f put dup 53 /five put dup 52 /four put dup 103 /g put dup 104 /h put dup 45 /hyphen put dup 105 /i put dup 106 /j put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 49 /one put dup 112 /p put dup 40 /parenleft put dup 41 /parenright put dup 46 /period put dup 113 /q put dup 114 /r put dup 115 /s put dup 55 /seven put dup 54 /six put dup 47 /slash put dup 116 /t put dup 51 /three put dup 50 /two put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 48 /zero put readonly def currentdict end currentfile eexec oc;jAw-24 WEvQC<3A2kX0k^|:ٴfb,|=sLu2KZ`3ndgRw@),q՜G<&h'. ΍883 ABAԾI$s@F25ڪ,i pK>6K` %E((bsX5QE8:'1#x[ob0S)õa *մܶ<oWNņHXx͓Tt i?Xn~/G?]3IX6-$r|ƌyS AQXM(u0x۫3+1?&cC1@UV*Z .A"]Y yER\kb7P4 K$Qh+63ήo:U.,tk~uP+J ?"&O H0fS2 .?GPO "/]xkJ"JӚ#B 1u!> ׵ Zvb,:S}2U7I=NEq]`њۿeۺ'B[xe%-g9*fP &y Иrc/8>~i8>LFf|B*G_˙VX0 &: ~'ިP |q)̶m&©+ X^݌i6Cz k"ǬL r]ݚSa="p"?+G| !Y " :A%:δ%{:c?n &f(%)oŕ0NnVL@oi'I_ c `3;z8qefJ U#)rE-oɁ4W(7BT `%G÷>dߋq ;:O<#̄ʃʭ҆vEfhK!%ĻtQ VO4jx.'v84s!QtҴ\ƶJ{)[P 3̞*4,s+%V׎MZe%Cx<{ߕ`Fqo~g_oxhO'o=a`JYBdPWOn^qmYkO}8B=K_3K5`:AVHe6k۲nTcrjt,S@P@'nOh:FPN掏y!8mA{,\DC2\N~4 8Ǎ1DB$eVUB+#MQ{M+8زudAխHq : `͜͜ҵx tJH.VS/ΝL e<^tޑ'RU;Y]f'dG1VW֐-}%0[aD07,kꌪe@ޣWA 6oBsb ^\j!ApxKP!p`( R)a4iWʴ(uRX E9R():+~R֗5I)m8kB +깋[/UtWh SS]ep3zv?νbR<l dk2u'[ʨ `aco Wp&Vmy! !b//6i`x'벑7x  <7NqKZpҰoaZ4M%M.%H"Pΐ=FQ."T9TH֦ —" rb]l"jUI[)`^{GeN.w>˕4%i0&1,aN/ᴦFhCەWфopJ?}'#=KV Ph*H?`+hvfD,>W1;Q݈4ưϫO_97]G? p˳aNHQڼˠ ̣%Q\{e?-m`|vTB9hj511޸=eh# Cd"|?""Me]r ȧ?|˓ap WRu/-F ǑIUœ~1K"?׳Gp\zKT<;EDͨru9Zr\HwM=g?O+p[ƥMW1D+.A{AV:e]RxƝ[%YF4|95ɜ+\#:rz(-[n GSAwROtrN dG|~X8&D8`&w P4nH`NPAr2\ +02Ř3,{>^;1;)N9-?j nK; Nm晼@]\І-@MWWi#s޻&m{:uKlDK{/6*bqvbT hsg`؈+n1쮸tz-8z, u^zH-ZDĊ[2%ޚ 5ağ!5S)"_Jz󭄌"{5 9pC^q]r+@fϽ;6j\'j/_ ;q#( ȅ"Rݴ B{m͙/hmOQ qV*Ci_&'x1MPb;sVUz1;7qP~56:f 'Fص¸iDJ+TǬH_5y8y#'z^uβ^G5B;DܿL*ۍ$:1UGS4]O(Ge7Phi5,Gd# Q㴭K(P^|(ێ<=Vp&c{i70ݔ*Ss툃n)q쿂@tg_aW;󦦓Q_ ͱT:ȕЁ$?DBч׊7 sd Wbk 7"bzy6 P<QC//|NvSdw U!_Ph&ֵ1V1cw"u] S cvr87N[klux\WM{7ŹǠ HI~azaws~?$˛Rȧtb3v?#XVx lcdD Eֈ ~A8/+>x9*%p gx0>Ar =~̀Mj' cҒ3l'U2rZ"Z8U<򖊮WK#!Uj qˌ,">/T ֔?#@[Ѷ ]JW "y4kOtbC?2=ѝI@|; ʌ@ZT,4}J#;=:7U&YT=ކ1qHPHiٔ ww6{臠n,/|- |sڒA(Ni .;6k l;}l8Ml|%zvȡWms\?[H40HrۘזzROx$ň2Õ ݸTwVMP9T~K%6"G)seUٟ:ya 9/rY\&k<3N ZeFJ (T#d5S5D!#.* 鍨(-5+JǶ=3W&3FcnT(ÉvY~7៸iC J+z!!{2TJx6 #h|ͬb.C< ~[yH{BXUHZe ]vKmVփkHAfƚjG2JoC7y=Ϊ m 14^J&RhkِGkJYC$xB\}T1j [$yڬ;-TieKԦVO3șOSKcYc\Ay -*/(F [@vl 2`L)m+,u>䗲{npVpE"zqFZ=뾻'&@LL',WN F3+b.& o+ӣ:KwBܿ!(WQJsc &߼\E*'ө&.CA;%wШ |3"FSQ> m5\ &xs!4<(>ڔH(>nT}z2W[({+ntd[sVr  X9VO-ieSO@g-C}^Hps .Dj!*aB Ɣ..og7Ҩ<9Iya2PvDK [ -/JXθ![<]>C9F}c!7^ɢFFI;m)= sH6>*>PY£A—V&s\ZJo?4ID%yAN*p2ǑUDFta.Z#ȐM|b]Ǘ oVNUb 3^]I}ceբI;=zFy‚\Q;EZ7תCn`zS7;9AIb܋U|KN|Vep;e~d3c/`w;pɚ:q'C10oX3>;ܣ3M"<>ސ_LzrX0C, ݯT:en5YJeD% _7"A2J {ͲnHamv>s5S/ iR Ƕ(k;c$զ9akMچ-0yEPnِ#6rܙfsΧ)eHltb'fUr5pMtt~͠D"bA3;Uյ}VDyfHx{a眍8A2iӜpՉ^B)5mA"Tb[9lEu(ωEw?ZjzcvMdi\)~"Xi'j*(Le*O"b ߺ]dJHR$iΡFw@:aY5(6U?WRSFp<SZ"3-꒷9cBc֒V;ԣNՉVnYyFwjId<)XʽzO](X5C"GXm>=(ѳմǰ";ٞѵri[ɰ߄$&?Z<jwO6'rgy4ܫ0sJ%cA8|,<(g\7ywsRL`ͼ:+_x܆;^R9]Z|*JLh@{دƄ9Ƭ3bCɹ9QG@XWEy4z';D"ŕq.cRgV ֨,;Ap:ᣠT*"GTig#)>ݓS3yQ?1aLZ:9{ "hמN!=z]-7Qw_V@bfĜKculnWŒ 3 !CɆǫcޒN{>\%H87%Wた3,XYr?Cn  Խ% a' "k(F 9??'}͊^"])S+.m췳v@|“ؐaX?qMд=OTDǂ8ns$ڙy{a-DmUS$t4+\0NI 8.憣=$܄3Cyb}/+ҼG.,W*aj\; G !1P5FK.-4ch?1=mQKz!bQRd2o0GoKb*H1|CV8-.& z9~zL9שvSӯݻkT Aq&L% :D^8y=VPsTuo#$VY"#WJa3 \ 黔fuTG1ȧՂY:K w4f+{^,)و/OEICez݄/80tg0Aȍw-9W8hο& u7j 6N n#9/džxz7nkZ)]Rr LwKh-8U%F*-DWp,I b-H$YU;nb | @Qq큨I;<b.j\GJ9E5҃Nrn hzc_(/8g(ODhcGb!i4g5I3tZBa8Ԩz{Zd{sw_N. /^7^X[>4ɇv!ٮe,Ao&yL M_o$)ܴ}҂cj=J\/Nӣ>.ӬM q4wK.a1gmxkŜz<@;|I(Pd!bտ;Y5n1j++9¶צS<䋸^>sO ^hgCG|g'pԎoK}w#ųlӟe`Y'ROv%"ٖǢ+#WD%sw\oXrNvwUr f%O2ZKup?ST {yV广BAWFc2]u^MjWw^n(k8ލ<7@.--5؛XO2,(zn0;,Z5>,Z2휖IU y%i-G Nё(W ջv`tfJ3AsȆB`oɗt*A] tW69Z@/, du&7Vg[Eؚŋw uSyW2&lC<>6Xhy_ljCvd5n}0Ү$PO.%W00qmLѢvc`TPX{8*#5)Z-97jxOtշiu^s@""?*RN(:)Ԟ~~% G! "fRix>oڽlPL(3$Wzk3Nl gfa*xiyR<OA|(8L!W<@P yWGMaGX-=ޛ:@G ޕMt`s:c.`=mXdʔ[tc,lgz0![f7ppra=gg!ygҕ㾵 lǎ0,|̿h-~poO^{s6OT]֐!ѡtyL8eG(m B#%aONعL@WAj2;beB!e@pඝ҈VU%D4pNF*O&?6_e?[=kgq՝Ǽ̱ gXgE`GhBhWCOtI|ue tJF U+ܛ(+V^@"ִv 4XZqˉ{FU$ίE᬴oq߉J~Wb-)#16cfK+YHJBDLM^WNeiD6vm_5CBP;-Ҫ׍i/ l$tzN @Ċ?# FRf8p+5Nmd4-AEtINC6IΥ rݚ.Ov (ϝy8k{&(t%Үynb7&wgPъJySv>ڿF,˶HBĈۅ&%ICŻv|܃n"-2⊮ϴF<y6iU cі{%ҋW7b ]1n7; *K=yO"tk*+{='5 G7SZ7[ˤ)/1+yaɟ]m>XTYfO9ŋ*h)&}Vb=tIX"p}w7ian8`"~w?N+FQc  G=8^Cv NxD^`T&wjծҹ{ͻ%UV,WwzI\$WY[ PU 0&pL%}q SX;;EE +U%-g#T_2B7mj̾Uﺇq7Vc`>c٧"g&I-Il 7-xal)Ҏ Cyg LzA`1ﮎ!~n$E]AOhl Ÿ!t㫱G´:BT?lm}#U2On85a81$Yy%E,ΠV˄J> xESgk&jJ'c?r9NVT $NBHzͻ҂!X]fED 6O &墳:P@e4e`_3H~XqE:Ie| _FQvEfAMZݮg7g>9嚗d차0V3V\c&ҥ²>?ڹʋѢeRA"ݴ$٣[eȴW%5$/`¦*s#潊2?Ʊ6ӟ(0Յ"<7w32d ïじk3-pDLD!SхGW ?([fQZ}rbp{ͯ]K]W({+NEMl 89kx'4Xh/$ L1N(U\/,j11SpKJB`/tTm)kH#u'#^LU n܌Ms5lk 3p~Sg>Y=CJC`UBU0jYwOH+@CF$|0))"nbԵB\|0Cu6!G}^rx;NnHaXXub7}jrs195f&|VlߧrdpږlV)Z킧d1a +ia7Dѿ2Lf mιr9iKkM tunz8)Q6عn>.W~rlHD FK5t޾ᄈG,/d` p:7( + EEHOpnx{?.`3@Ύ„tv%B{N۰;[2[1'dsoOwet.`\^Ah1$xS"Hϳ,Y$@#8k=nh?%)./YHYt**S-ަoA< үc(i3.r+ $qshKR#U*iw^Llw[2%D0OiOdK&`A P=JeړLz:zG;΢'3ڵ6]sPt R})]xiX ,IQ~ ;I<Ɨ JtEIGj<D#m4 [..n# Uor"S}z^ 8Y9J+wX<?oNe@*Q޹ _B6=\D }$T.{%Ԓ@ĺL0.4}Ltbrk4"+IoE BO `+1'7jSc!YSD_XwMGjEqy4F9UZo7Sm,_\ᑩuދe.*pjMJ2xᑗC{@`ERZ`alq'E^0NF-(%8j0 [Mk*a.ӑ|wyH K:  a-B(D 4~'xzr],>t{2\5F)@毲B&1seFkj*.D@>UIRUypˏ.x@'15fs1X/_?aܳyE* e <{xf؛Q(O w>OWy$`Jikyq*4.†KnLV`(LV%J Y sRwɪ~ *fF0!IE,Vm%45"ZloJ>cGf=H%_=LYZ}xYi4sBt؀nLشn4/."! 8)shwGZvz5.ْ ^j$1&9.ݡölF-_̦{߂26RHΦ4~whOQj MܶwC< xUf/ɑܿ$vc]'p$ ߴ~v\ͨL d3\.4v<-B,/ ~cW~mbXh5AX&g}yG!yd?-)ֶhQmk-]Zb$c,G U^)"*Id"p:ts!Vyȇ0Hq2Ӻ{%s FAWD U tU&kw_rƠEc TXarw}jPMV0oG+qSwtِ|Nnrg__F[3N"C(?љC26MG64 ta)*Ęr"#3zbiC{ge?,wT8*V ǟe7d(=ܫ%~;wI!=&N\뽥4{_~4Rv giaFvQl h ZfD`QJt(Cit 9|Ÿ!X迥D_gV:vA!&C0{2^ꬊԃA<|d5YhHt7MQ&MOJxn|@jzןrQ^'^[,:w@VMsirQpA wO+%N70l=nyeO<3Fwd[^|Yr{-6R>ztP譅'G 98Ov_Zd)_cVSc[O.s`+k/7Re/OF :/y;iQ1)paIJ'joMI"N8m/S{P†B#.^sM֧h-a%zHl9U_̸TqizDTAj̫'R< WQydc@q2i>t~ᝏ1[Z<"oXm2 <Єף,h(; W+"1Z d%+F`i57'6^Vo¯ǯ#C2twcP4l+F&͆XۦQDx4h0 /")a3;2 v?,X [#UFDFptXot[<7̓*YJ |܇>(5YX87 #pHii!Yp҂y$3JB+ZiՂӳ[rP"uUlMSize߁<Ujf:7pڡxo? k \6Iv;ŋK9h_06K|d{mݿDVM3?+[\hS-`tFj{aڸ9r)(љ6?١j01JOpl `PT;aRwM {穃D5ձC`̾i$'PFD%d~lٙoN@A.]gu2YϚߨiA[!˙ n{`늠Sk @qu^ F m}qdV Uۗ@% ~/8@K[8*X3*2Wjxl/$O6ASD\oKdI52F?S yJVe@iQDQ٫1X[hX=")Ξ(eT{&r,; ]]D 6Jd{WcG?Z%;%rh-2 dS$].=D@QMtwEJڒ-S\kȞg+.J}eṱ#@rW:nBbhi!8W5؍MaƵKӖJĬs|?l94 % 9kkR;r1U#M*%Y+l(G]) ~VwTކ 9 5[H1Ir0pHm!Sw@@صW[$mR"VF8N!k5㆒xOfnP LtDSF?h_.,Q #vLJ5 7I?,#KsbF×lHcp` L!JW$~1/W cMDX횿|'sѻ/?'Og$p5ڱcEN?ԪDXg1tW2"BWBQմLi"1S܀SO-!a[U@l5I0h1~B $C0T[`Z.>9(N² nB4V2d*sqP XfLWDY }ъ&qR,mT6#4ޭ'4ʔJD*.OPhHf݁fE#8'fF/ƐrZM̜ë̥Unœ`SepkB )'5.J840pܴ븱̉"L옳.1s2^#þlշ'<{S]Z!+ ^lSv7y.vƁ6c~v?|<%/>iLRʟo#ˉi6S x6#faNm2 Յ#(XCTԞVT+h_wpTU-A3;k^Ty()d{RXC@5Ks -@Sz4@20G `Ҽs%5xjf6GuQMZOƧcߵIȏD;%AD!%-xԹRZF"dʾ" 3Lz/|5D%ދs WU2~}6_?eAS{3( l "m O܋FV 3Sk=o8 ܳ=ix\$R&%9Cp.L){^\^ d{@< r+%bc_r,lŕq2^Yx#~S4ba Nf\bL0o*ܚhw3ˡ4R58x!_.pQHHӷv upQ2 qˈb.EεCuF~G7ס3D8~FFK E)`N㰑 hI& YdΜ Og&8Lie#?UJ@'q|Txy ijvzB[5Bڶ5|h=UEwdZϰmd|2P*lʨo Aɰ w{,L =܇qъN!aغȃywg;#˜3\%";dV 硼o-՝mJh%HW2+| )><;T؇E$X)!Ǖ5<ς-H R$J(! e](oeQJuIz00 ayIk*Tm1U=& qZ f#iφڢ>wF7my€E #YwRg?woۡvƁ஠NlQaAFPĉ'Lg_Tdƽcpۺ5Ì&P2|8 CE %Jƕz5{I,Sgow@#[Xgͦ2eۏ1ڂJ6XS]yJ.8%~r R@Ap):^K9>fܕJ9SFV 4{i1S?qOv뽨ؙ EpRG\oPTϜZInb(f&6 z- z]ӣ];(ٴ+dyJaxiݩ_{`1.>)}&E{Y=4lx+q!9XŴKv|^}LUH`I2Ƚ~q| v!7q;P5hKt9Ao X8䋟fꚠ4BiYh XNB_ +ܦ}}`S."p+'2s]^pL2ota<h^^Ƴ}:ܩڹQۆ~bER3YM.XIZ\j9j"=fJS0:I3!˰FUm"OKeԸ|t=v(9 jʤ.xf b<82EɬDKOki'oqKߺU&l}SB\pXo6*}%C5SIc}+薮Y*cDf*> s &bŇcNb|AHV*B>o5B A{:n9wܣ(vU !5kGyvbb'U<O~֐u.FiPev:_2jTJeaux"b endstream endobj 78 0 obj << /Ascent 767 /FontFile 77 0 R /ItalicAngle -8 /Descent -211 /XHeight 551 /Flags 4 /Type /FontDescriptor /CapHeight 767 /FontName /PLUIHW+t1-gul-regular-italic /StemV 96 /FontBBox [ -141 -321 1053 1055 ] /CharSet (/A/B/C/D/E/F/H/I/K/L/M/N/O/P/R/S/T/U/W/X/Y/Z/a/b/c/colon/comma/d/e/eight/endash/f/five/four/g/h/hyphen/i/j/l/m/n/o/one/p/parenleft/parenright/period/q/r/s/seven/six/slash/t/three/two/u/v/w/x/y/z/zero) >> endobj 79 0 obj [ 579 820 0 931 286 289 600 572 565 861 854 1000 405 413 685 490 565 768 227 373 377 401 549 227 408 229 313 553 553 553 553 553 553 553 553 553 553 316 316 549 549 549 504 779 607 575 577 694 539 486 658 715 301 297 616 474 890 700 682 539 682 587 490 518 687 609 981 605 569 528 343 352 343 549 500 217 533 543 450 556 480 300 514 564 286 289 520 274 864 578 533 556 537 397 408 354 578 517 806 491 524 448 ] endobj 80 0 obj << /Length2 3778 /Length3 0 /Length 5154 /Length1 1376 >> stream %!PS-AdobeFont-1.1: MTSYN 1.000 %%CreationDate: 1996 Aug 26 20:27:17 % Copyright (c) 1996 Michael Spivak. % Hinting Copyright (c) 1996 Y&Y, Inc. 11 dict begin /FontInfo 9 dict dup begin /version (1.000) readonly def /Notice (Copyright (c) 1992-1996 Michael Spivak. Hinting Copyright (c) 1992-1996 Y&Y, Inc.) readonly def /FullName (MTSYN) readonly def /FamilyName (MathTime) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /TNSZOI+MTSYN def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 33 /arrowright put dup 3 /asteriskmath put dup 106 /bar put dup 102 /braceleft put dup 103 /braceright put dup 84 /bracketleft put dup 85 /bracketright put dup 79 /circumflex put dup 86 /colon put dup 50 /element put dup 68 /equal put dup 17 /equivalence put dup 21 /greaterequal put dup 49 /infinity put dup 92 /intersection put dup 20 /lessequal put dup 0 /minus put dup 54 /negationslash put dup 1 /periodcentered put dup 67 /plus put dup 6 /plusminus put dup 48 /prime put dup 26 /propersubset put dup 112 /radical put dup 73 /semicolon put dup 91 /union put dup 56 /universal put readonly def /FontBBox{0 -954 1043 900}readonly def currentdict end currentfile eexec oc;j~EЪڇqcVv3ދF'HJ1ۻ=AWԯ~k=%LT~1%V|St99 KYMyD+,gD}F2Eh#^#dT(@UN0u˰jkV"ozG+1O &`=!ΰ}A/Ve^]=J2j`Kk=eYp6\ Htsc{M|0)luŷ[u;M:= آ]ZS3Ƈ~#y ~qPf= af|#fĬ{ZeOʄݩCs!YՊG IYu~M& 9y|^=C,`Qo aE,rP zs9ε&q[R" sKJ*^#nSC 9Vv"44`Ro?ЬRd(TaJ*)@ivpːyACEs=}|Ng 'J[FG ,]&{!c$1K Wb"cSywGBh9 ա `(͆wTh_7A#y"ᵂ,~d=et78{*|Y: ,wRU}p$f+2܃>H.j{Ms NteikyR śuVb pǓ`cS|cF03RsSn0u)RnC[dk;Ǻ8Z ~s_4 `.Ϣhpȧls=ZZ/\npE_Bc?驾jkp=^\F㓓=, nUe]nCd;V+;e鴀*E)񃬅~bfod A|7XS_TV:.Mf4b$v\jWNў0}0*M@p(,b` Ky1#9$wH;!8=Pmxp4/ԧ>H  gЏ:s Ka]숁S  q񶅤۝aQ/@5r ar\#DE=cߤ[9y&zkf39N1btM@Hq@*FOu^{qa |/רV5dIgkf>HAC,)vg^ D5G\S0bC @MB 4T( ݭjofma&;lyWɠI无\(eB(sz2ٮ+dGj{0;bĂC:f sKj}Skm@U7%Tea<$|1$&0Iq'b=3juZLACj#VUOBh-=(dwEwI"MFBL6$Ry1K4LڬM{e#ϒwp /l%ǥ_řY|o(NdXr/ߙ`B~Z-'"ӱFGUD-i_\)cj0luGM^VC4L wOC|`-WbopRͅo̎<%hɜt"$_s<a|EJRRy^ :UYZ {bQ>֬uwfEɿx!3V%_.V~ ;rB^v!@}Y{N[.[9qlXm[;73 P.1XZ7dmx=}M\p_%]\B;tE2lYŐ>ObV:݄PSB𓹯 с;%?n"d J@6xzG곘;N+obe~&R3s. ъ^ϑpc,Wi'Rх5;RsF%_':ȏ w-[?q I(̬w{p m 7]3@0htG]gH4,pX=4 oe@g_Ƃ7Nbˏí]+6'na0P&5Oo'Vw2fpƊ_."ahF_ ; }DG?=5Ў.V92d A/dmo.vZy"%!Ml~-Ri܃,LV#-T(2C65C(,Vס۞.Fqc8dM1YS\G,1Q|^C*QWUUU3 paDpKz8ƐطpY5^NCsOm@+J/c<|$k 8T< U0$=VKsA$09G.F3ݣ"dґTUq+˷5PگmφYpOv}amR͊#5,ر"}]L̸W.5Q0D;&k²A;z7KyhX8ڂ/OVѐWN_QQ`lqj4U_Mqk@s3g wVn"'aW@_Dl@T@Q$ jK `(PYOLZsdCvNu@46AcIO"Xк5͜-eI~~=߱kmF"uH} ,O47|OJfze5$C(WEӚhՒn"F-)1CBڶ.P# kv H3jq)bU.cU &HN v5\ VNdN\[&9^FzkNGEiz`N|ub# *YEJaj5'Of#z齰0C^Dl:yb@h68}}0soE-SF(ٓ2+N*% rXnjJ3 (!ɒ6\LIDޭi` *C6_J'>7Ѭ#:ij̰)?Ә]&QŽi˱24CCⱫ&>]?*|dz贡+1> endobj 82 0 obj [ 780 278 784 521 780 556 780 780 800 800 800 800 800 1000 500 500 780 780 780 780 754 754 754 754 780 780 780 780 984 984 754 754 1099 1099 616 616 1043 985 985 780 1043 1043 704 704 1043 985 985 762 270 1021 629 629 784 784 1 1 556 519 722 556 733 635 780 780 634 425 452 780 780 451 536 536 780 357 333 333 333 333 333 333 333 333 347 728 333 333 275 277 700 776 776 668 668 668 700 700 662 662 444 444 444 444 370 370 367 367 286 498 616 711 485 280 846 ] endobj 83 0 obj << /Type /Metadata /Length 14928 /Subtype /XML >> stream uuid:C638A9833F8311DD8448FA83E2673385 uuid:C638A9843F8311DD8448FA83E2673385 uuid:C638A9823F8311DD8448FA83E2673385 uuid:C638A9823F8311DD8448FA83E2673385 2008-06-19T11:18:50+05:30 2008-06-19T11:18:50+05:30 2008-06-19T11:18:50+05:30 Adobe Photoshop CS2 Macintosh image/epsf 3 1 2008830/10000 2008830/10000 2 256,257,258,259,262,274,277,284,530,531,282,283,296,301,318,319,529,532,306,270,271,272,305,315,33432;20C2D5E080F0EAC9048FD625DC85D604 166 182 -1 36864,40960,40961,37121,37122,40962,40963,37510,40964,36867,36868,33434,33437,34850,34852,34855,34856,37377,37378,37379,37380,37381,37382,37383,37384,37385,37386,37396,41483,41484,41486,41487,41488,41492,41493,41495,41728,41729,41730,41985,41986,41987,41988,41989,41990,41991,41992,41993,41994,41995,41996,42016,0,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,30;B4BA1926A57AA3AFE80BAA8365CB8938 endstream endobj 84 0 obj << /Producer (Acrobat Distiller 7.0.5 for Macintosh) /Creator (Adobe Photoshop Version 9.0x196) /CreationDate (D:20080619112113+05'30') /Title (elsevier-logo-orange-G-web.eps) /ModDate (D:20080619112113+05'30') >> endobj 85 0 obj << /OP false /SM 0.02 /SA false /Type /ExtGState /OPM 1 /op false >> endobj 86 0 obj << /Type /XObject /Filter /DCTDecode /BitsPerComponent 8 /Length 22583 /Subtype /Image /Width 166 /Metadata 83 0 R /ColorSpace /DeviceRGB /Height 182 >> stream Adobed        s!1AQa"q2B#R3b$r%C4Scs5D'6Tdt& EFVU(eufv7GWgw8HXhx)9IYiy*:JZjzm!1AQa"q2#BRbr3$4CS%cs5DT &6E'dtU7()󄔤euFVfvGWgw8HXhx9IYiy*:JZjz ?Pޓk+M"Uy1U):yu c>jhC\Kb9z֥oN\jU6?HʺG/u.k2oo]#Ɛ3\$@z \Um5F/'R%KYU&_ݵA%і9zfS{KZmo7=}iַSHȊMF;hQb2$H11WZpO6%ߕ,xpcu5&Ynn42*LC~uj6\k:Wt"SGIocio<ݥDvb~/?1H֭,u4i~hK{{%2)c-Y3 `DxVgekM nu_yG6pCsXq"0,YߩdU_Λɪj7r>oΉ_M-eK'ב-V.9*\Py/MoMMޓpLi%ͽ!Ǩ"f2$#TUY ߛ,a%b[Ŋ˧˧ng$Z1+DHc#UK<ìE}/Km_V! x[Z " xpY0o|>wT[Mbmt/c^/ii#]IK30 xE^o?מdŇ7V_RVaW9@&8?埚yK@![fXWhP64PxY|kyWm,8}HKآ? pDZbZ.xY4KXe%Ρ$Ôu@pteq^m.\ڇ;hukXolhᑡE2QUaߤ,>d,c]c_Kg"a7FY*F#IAH++P2j]cZ8j7[zE4xkb>08e74;}zG״_ҟNn aK-gr[$6j*Xi4,G٦V[IuDT޳eIg}mT`n8om=[\o)綰t]TkV.Kx9ZB^b$G=_QDJu]jJ,uop.3M+Q`WD-إgy9˺MikIeF?$qȍ!eڤo󎑥KV XԵ kI'vFQ`AP%@4>^yh>]n4'k6i2\,VgL$("(GXGlUi>]0|Ů]֯/5SK[}>$c6ry/.2S'Z韚~dS>gԥec:r2^%ݼQ++@#z $BU{wyO:<$֑ipHad^ ,NAh^x[Ӱy3_4}3U͞NH%y9jL?JF~H(ȲyH_o=P[1RصyyGLWe|i,jzm=[J@A%QdQK$N8UWu ;IΏg'/qЛW%WmHOYjB_̳m_'~x)d;..Mͱ\5h2dusd*yk@P:$޷e1X [^Hb绑D^'R&) SZƫ~3]yFXO_P4m7JYx-+w'J$p#zV|YyȌ(ǼաjKXYM^POpe 8IYmMcV^kUQ~eהOߘֲ)4C$KmarVȌ. #/N ?/k>PnkIjY3Ρ\B8y&$yrv,ƁW~hj>k["/y"׵=Ldko"NFdա&=P%YVZw=i>G`YfeyV $Fy(egw Ѯ[X][.&qkuwx6<O'*/URDּ?8V_C{Z$˥?x!6knx$! 36,TWռ>V ޹= vIE mF)&^fY&I#2IT^em/#yK*gq,ӣ\[2VQ5WzZi"*#~qJA.e[,6")7Tҭ (GoЦ՜+M{o2*d2̥jmږ9^KmO|WKn%z.IV$EXי4t5*{Ka~Zwq5 ;C٢̋U1TU5 *I>?Ni\%Էmk.H Q!ElUybN;528j̪CjIqu,Mtkpq'71!@UXϙ|5)y5m:;=6W%)j w8AҚ\w4%>ZO4{|{r-W˗Mb4mF)/lbc2XFX*dV--gƑ,˦- DgFKy&Hl;tE< X[KwOC#_O rzw*(?3y^V/m.4Yoq01NV)ʫϦү|iu_9yU]S^,RiNwzlM*ZM`ZVLNc~oKM;͚gG5?җ"[-<4b7Xn$rSiU=]kb.n>eD "$3$ѻΰO4CPQm?ʈnH戴wQF.V9w;D<>|+-k'$ԲԴǖ˲-\`Iڿ<ߴj׺Sr ]cжHh֓iPknin{=Zչ#Ԯ'ОvLH)+^u=W@kyYQF,F4q*,94]V8yC-tYh/rfDM j#Ҋ9ErM+U^JM󧙠_l/n/|Xt1!9N%wmr/&8cmCߘyQּ,חy[=+V>Λ}5MC[-~ /DKy;Sʚ^NЮcwimot/ihҼm{]~b~no0Ki 3K6iBJXBUU{]KZ0E)֗I]Z\jr4K3Gsi[YU$(Uiw<W{}2a%Ȗe}Q{Ϫ_Ѽ4:hƋ5mtqkƌI=e#dJN.UNYYίyK6l$HSNo#QP%)茕^!UK%4myZqhz<> 淓Oi}"id(ʭ<0hZ'^=+MJ@GŽ͖$mC0Z&aʫ)XjzhceơF9份(nk%đĖ5F !#SE\yOu k:6MqYy];}v%BѸĎ)o˺痵- ח m6JeӤӵ ꮲ-FV-g[ֵ'uᰶӒM#ZQe-esf&YM{WZmFX\t =(7wUMnZ/7˺Rh8dH-ᕴ…XQe/g e||ůE+X&uŷ]:Nݡ19ʬe`e!C Q|q'Qtq&mb%y͕Zy'"ryLu+q=WKyX~wWVjV #=9YOH ?!h^{u[ sCcoXK*]O7 Ajȓ)ĥ]W^M>\imLqVKp YK*0^ikN x$F ŽO(Q%_}wךߙ^\ZiCa)QFB/-R UwFk?Қ/d<6_zkӥnRj`1U4 ~fw.+O=Znr'Q^XfK{[x0>R9sTEҕn|wF2[iXtQƲϓ1K7[h=u$>{.-L >f8K˯9>M&V-z圗"wڭK keEDA]4==Wӧtm.5O+mdP]Msrpn*+|囝'VUtCPӖkWӭmm'2Zg!BNGUwU[ksy˚~bZ|ZF}$k,:exK[T,LPS|n`"_/yE׵y,fn-c`'mEYb`*Hݎ`el"Gk ķJJ_8垡y+T[Kk{$ݼ6UiM{9s -RRZ"ZOȏ,\Zj~a֑g1ǡ-/e8մ׌D5`QV i 5=ζ:\Cixy[v+X=3;Iό`Q6>fյӼj>yDVɡU{[43.s9WO>Dyf[jN|[XMk&Yi_Kk 6cym4p޼k/LmKB춺U" SSmR]B(o̖hә0J*ϐ|jww^i1:=y-j *G`!IzT寝?}oDEi-DVБ1n $a$|X'~?goLzޞ<==>?~A{50,vf̶Vg Ip, 1bqWZŴ`;=~v{&c phRe,2n~ f3ܿXy;}Fm#H>׼7Ϙ;h2R9尿 Ѡ<|ӵ7c{]'Jы铭R<~$n]~⬧_ܒTk=yN7 G6h($M4O2]|Uڗ`PEu*5Է7Q}ش$ߓQ,uϡ0<1X_ukŘыkIU=*=iZoeF=")e^Vy^.7«ѻtFw=p19^W)"L4"Eʾu[;;SQwcu zF*ͻ Dƣzy-R630ѐdtF(0<@_)z/-hкtOE"kviy֍$1dV!4"y|!"U{}g6q=1J'QU;*t._*꺗|\Ga~宭-i/G_o{Z%1E0X.#p-*?9өG&]C\yqHc}.;bEba#$ U֣g-o>7q>zMAmiil t XqUT^_k3sif)1ȒGR7YW|i/&{ɶV_[hы~;Te&pF(#D9 ${ Uj>2#Ѯ̱h"񫳧b>д{,5<3@.PMs+HD8+7'lU7V737Ϟ$բkpkK3іMEt2")GJLN*U5o3$o4+oJDv֗fBe~ 5ʟ y>kIoYf-`֡{S#Ma. +1T\ z旘1nbm;KS[{y$kXqY5;ov__ߝ/)qk:~;8/"Qrq%#9nUz|8}2J<)a[[m2Jλ?e1TM<ת>O. Qkim6 +X\MYcК!?)LUoƅO-ޡw hևqvivjat-O Y'懟|wcc͟GP$[;K۔IT(H|¯U#]ӭu;+p(i%gW~0s-Ӓ&yz,ƃ~zENtE}- S+*B:*/~Iӿ$捕ޟ\_q6kRUJ 'lU^g4,y{gQn-)%䚶=c}VɸъU|L1m8)|Ȓjno~cpc]|4KkqhzTvfc;4Wv4=UثWb$t{]#D!]sȰjŌ&{2Zq$(ߚ/|<MymmvPin%0@Zrj:ʲiPԼ)6WE̮|.]S)]}:|$Icq[Jh'.#D DV\,ثv*UثW?{vz(v7n յ;[i䶖M6hH Jw7$hzcEyvt٬wrܭŅHaHm㝥i^wT'}VmHm 'HFS4]'_oNմuaw AVT=|UնSM'U_Pյӭ<ǨjWh-䛅]IӋbwXߔ%զϐ|6F=!m[h(rY(2*?/y[E-E~`yR!-o$ }4WxUInn<8ӯhCǰeok{MSѷ3X[ƎI9/jG ,ʾa{?3yv+7m:p-k|5QFr>=ã6. V_Sqoj:՜ǃGsaZ{rA⯗?|;Zkfmm+8G܍: t%,kR,qfFC˟>W\$cG_͓ElMps 5K 71I,#UV5/˟vZ.!yCJ8E6+ሢpƘWǩ/ߗ·iEA{sF( LՈƑ[yb[Ξq| vtWVvyak${[[R3$7Pbg<æ~oN3[ZCHX]*O,CCs#WzbٌUثWb&n.ݟc'ڗ(**IU:J֒RR#! ؃^DФ[ yJAh`^|?5moY_%OG{{]ȍX" 9?#+]SP[̗6i65ڕaiΣS4ArhŹUqTHyȋ 7~qϫ]c3Ov6EKx),atR_K_[W$[Go5H3iƉP%i䉑@Šp.UcߝUÛ_[^4WʏYYF 7B6v5[t-k?V|C#--.&2$-#/}$*ޘo줱ևt4隽Ԓ[iN#0axIt\gn$-_f.*Su樼ͯjkKNҬ4mL*,uFD'(߻>҉J*]*ܰTyV/5k l ZjI1S1ҵb}1v7a.5KY-Xc ="rg ~b]v*UثV7yBѱ]flQ3-eYi4~b9 ܰQKumJ(k+HxKTY[d?ɩz:H-Z[~+'nZ@劾RZ]7KԵ{)-fMp!u:+⯛u/3LnAּxaӭ'0,E7%..#@SH㞓 y^-b+/C%S;u_('#[O>e%-;bY9ҏU\!W%*JS慾A}%Au -bi&'YDǩ{'c//^\Yt}!<%bK#jň]o6\jZ'毝Amc6J`ZAȀ5h1W˿ڤ^BӭXgm{Zc,j mCU;G- UvC*SQcaot}7Ca$M PZ&CLU1&)4w$ŖfcGj;|L,I_QӼw(tp9Vo]l kU&A"UPuu(tf솯s-qd$dyz6i/0 ΧYzJLUGs~^Is0\Y˫ N_[W=:Z=hdğiGgzo4?Qh5_1^UenI47SB&T2 <Տ >'*fվkxٛS6mǤq?تYod걾ȸ鿖­ƫg3**#5jӯԴ[#Kq%"NTVh8Z4.#Ԣ>o4f{۽i)Q8b^ex{*-9U1|s -Q52F\vѭukC"]L_U2WUv/7~Y^~by"YɼƸʯpPnLͨuIP`gwm5Ma#_Oҵ]J}"P]WZ14Ps$]Wж\?/ו?GjLD.uOoӰi^}~/O<*Pt&85]6)_rL5+ A|@^yz=ho꾋Lk~G*1Xac*97͍[zUg59=$kpLn "ξCWR+j;ˬ[^}bgV1㈬qA*OȰciZ|6iz6>Ya6#'VYỲ*/6yw]lbռa Jnٞ28mDW*]Ef눒Qs O#T, 3?.Ht8[KjiP964iYԷ7/OU.O8SZ~`ߙ:Ēj.-#nZI*x֌i ]bXfՏu&yi/X[iom2n@?o*ȟS~OVߛ|5fX..ntbl:@_!S7S{&m~a|I0 XW7ˁGA^ѮSJ ~ok֭n,%]5dJm|_3wUvI`_5QC22P?8~e\󇛵 oX4h&XΆ gX5U+i^O柖*hzm{WKmt.dac,U/:lUNSžy9 IVygs{iCH 1TN\XsQYG3\Oi@L +"DWV*id|2iv_2Fjk1%pz^i;ƄI:XՄEԟ? iz5˗K>re]&{ (k;k#"ЏT_˦~zZy9ӪP 5M0FX"jf*{?GҴm.}WMѯNaSZr- )#CϽ?M+DPWX#qVqxt~>UZ'K/űdz<^⫗}8c:3qW [Z$7䏗qUO_uolU>dʺ>?*ϾU/5o?xo8zOT=nU'#ԊfZ{/__W_Db?zQfKS(i*z/QH>c5AQCMjTx=CRۧq)jdM>^`Cy?R ׮}߯}O+Õk6k^bf[s{ͽioyz0]sU}!J#b?AٙF]Q" VWz@ՃNj:K 6?m/(NR"2{'8Np|<:o+.)9nK! HnO[l;2y!BS"1N6O-C\pMJ&~h7]w!d hZ7Sk;;xz}kaǂ"cQ.X-Ew"c{i 2 fEǬKLoqaOd_Jy3'軽Ӡc;"kmuG5Xw Ik':AP2e5#b{,{;0c"r2H+΋}.`Ckmkj1>SR jZj :K;^QFzt?0LFc$u! n>vi0&&8q=^ӷǴD:Ǖ)]e\?֣_kN3? [hVFԝt_0X\N?<'SW &=(4e-dL9wg53n?^)߆Omoy[-ijV(^ߌm#ѽ9"}~]V:,b$;}_h7?i>vN9jT*d"+n;{iM~.s|c( s+4`)baLH@yݾ}Gk-KA!-qՒAB%(]+@6db|ٌy\,&#L3;dCwͣ̾E^zyEmݱ̌$}x._BSdjf׼_Vau6_9p2>.O^3?םp.?br xx16~!OWUoGE߈J\GJ`L/cIV?J+Ta VBigotZlCcQ=bh;@oGާ~oP,nD602cU!, F |806H〹H=$д6JLeB7h(w#Ĝi#Tr:v}2ܠ/x7HjP"y ??=C K?G5ݴEfCԵ}>KƼȷW0(Q)Q }{Ee!|RtH_mqbzwKM˾n& )mYsh&OU8;gc[MU#Q22 Ď"{hr7V wΒAj3u5hod%޽Gԃ_T_[6uU/,|eNCaq;s3 D~<=MŬd𓼇Q#xqwc2ic:JZoi~\d선Ap" "Hٚ0΀sJEzT{i F]);XZcHdfVKY|;]?Nh.tۅԧGEH*BԀ3p4":=DŽqK$"b_r| idphjXsC9ata^!T|?4YuYEǀKݼeL_Կ7/ˋ]'n5”U:30c@' Ob3&`# 1Drm1&;:C.R2Y}q "/ ZpBӚ`. Sr$ ô;c^_%e#Z/8gqL9%*_o&Sm_7Jt]{M{éP1^+]fuݳ7!Rvێ9 *]_v%,!n2 & {{W>1`wfNE-lG:,'X4=mgj(eNy2Dn;K~Ň())xn?3y[wnjѺ/ `kP1ӽSBk4dc^LP.8qzp;mϛi2vF'8c<3c}6catՖ2k*R[=mQBᣢS:Ǖ/cY̳'n/]v"ZZQRֹ/fC)uw0.oD*wޖ,cN#P&[)Lc[VO2W\"Rzr4SJ`V#*^Pg-c(.>q}؋^fcox{ '7Wт?p==Gxk5ˆUx~#νב~yOI}n%[s\MHOY Q148o]b32v7C #_!3Ps"DFwַltF_U 7CRG)>fòqCbxe HFQ=7=ł]\u"GHvc`q4fj~?,Iu"jn >/|330_௯~~OR!C/ Wx̪~_r]ii_GE==4p!?#/T֑uxn{Vo5[{zr7"|.dSkt9Nsώ2 T!_Uϋ6suXa$Lm~v WͿT[ze?\kixCGqE7I_Rφ9$ r#tlV=Yb3&4!}2}FkQ|VM $W<|Hm2k|&pqecxP2"7.'{8ows- j:}r8Qg.`Vtb [l۲PԈXUqt!(G}&tbe=׫ endstream endobj 87 0 obj << /Producer (Acrobat Distiller 7.0.5 for Macintosh) /Creator (Adobe Illustrator\(R\) X) /CreationDate (D:20090418132918+05'30') /Title (nonrwalogo-G-web.eps) /ModDate (D:20090418132918+05'30') /Author (Krishna G S) >> endobj 88 0 obj << /OP false /SM 0.02 /SA true /Type /ExtGState /OPM 1 /op false >> endobj 89 0 obj << /OP false /SM 0.02 /SA false /Type /ExtGState /OPM 1 /op false >> endobj 90 0 obj << /Type /XObject /Filter /DCTDecode /Length 11603 /BitsPerComponent 8 /Subtype /Image /Width 158 /ColorSpace /DeviceRGB /Height 198 >> stream Adobed        s!1AQa"q2B#R3b$r%C4Scs5D'6Tdt& EFVU(eufv7GWgw8HXhx)9IYiy*:JZjzm!1AQa"q2#BRbr3$4CS%cs5DT &6E'dtU7()󄔤euFVfvGWgw8HXhx9IYiy*:JZjz ?FM!)Rv ֤bI35ּCsqp?:}!˂]3#o}࿎]V;etxm'5eRPQZPbG0}X@;nOCeM?o銭}W^X(B7b?bbE߿w M??hG'oqWE(hGh=[ m4D`Ke_rPR‡GpMO@iP?NY@FƊHQSb^O:ї#Ryξf㦙$vW?>0㷡ořnz3xյH!M-p>ڊ.ӳI?EтŪٳzǓl¶#/<36@Wi{iqe;L*<{HѣfRL` J"$%IFʄ ?' [KH)|~s掶;@Q'bKF` x?w<ζ|+S~Kǚ;}'Zo<}\h:K9ܒcLdE>ӿOo2l?1W & =V*zl7l*WٱWt?ƧaW}?N'?w}'hqWn튵r@;Tb;޿I_/WIwMuqmgrlͨS~<yg×qzu|[Y_jdt-M=M2nPFG,RrFAPKCTϗ4?Tk(`xXdyUd*q/0?5S?/l!_|^,--DA7 Xx|eMu8i{ѧ.^0ڝmyIiY N\W҆e}̽/M|.1HԵo%:fA!-ƿk^$bl,6yM5EO2+[Qr5.lrQJwok#^r뚅AzK3=^ HGHGYO|ߛQO5]{R-{g:Xy# V9I(*I0c -`xm9 7jHW&usOӯXRG?]#) Db#;~h~_~|= 7^X 4ƍ$f^ݛ%%d$~;Y+?1}?%7+ʳ/?޲<.:uΥilܲ1C)ߝ)AVنrޞC8 _.y?;myLE]KȤ;$vRTBcc>ՖS1R{Ϡ(2 F}_Nw=D-@4'8{/n5_0yߗoy{jΡ=d3@B2rDc>䄟~iF׵00Y5,s!8%E|p816ĵg~&y27V>K.Og}fKwd. !^45ȝ,HAo᧓_gg4&-"m#'Uñzq#k"ΟO_z橪J^4m]M4h 7#At(h5zh ,ߐaGZyVF֬-mͮ$ hVI %8OYgۓO!@.B@g7&Yi̩%żzII(ʀPcQG?oO?.~gyg365WԴ_/ލ=N?;*v¯~޳'XUJյnj5ƣoiǘ<;O4:΁kZmW\kmqdj f;nR*=q@0?>c?#hv-L-Zix4z)W5-ȓAp O?".96YzV]JwZq&"|+@.K5^_6~F~kkwMm>Kͫ.6o"$-{y גQm0ͼ"Cp9f[̿͋r֞a%>X3xQsrV]o˿ow~Oӓ[r$Gq!)A)LPe y0R&%9G97)1|ϣh擢yfGկl-nD0Ja&7 dLɌD!d79fK~x侏ZCY_O֋CoKm I^E/ꖑVqoq÷6O8 #zY/?73-=f #^H沸0jvʻ{dU>K^kRյ˫WՆxl]LrYxVd1Ft{,;.u2r_Υm$:n$VZ\JzwT0(%Jא~ 2/<=s~n´Ѯn_^tӣ*+Ē(}[|487~KC]N{uԓp^N&Bk=Ato^(gR55ުpLe^K^̳r}uGqeygDsmyRַ J$Do|!/ri"o_O<-yKE-hb{TՌE+T=)S(bϬ?:0uӯGhlgk}n-b,PzЊ4D6ƪ1vP~ez\Q@\FopA9JEKr^;;_7!Ui-N2a 6H;z-L>Կ6ͿɽS[[>X_bO,,5+AO kQTC_1w^w'3KMV%ww,eY}ON4PH! -%ؠ^kjԴItM[GO.[^iMYIkŭHDo *78K+=K/p;r~AAa<I.'G- = 'O#tpp@P<:y;yΫkaekwߜ9 3ƛ(ۇ3}Lxx{t —b|Inq<˦iv[&AwveyQk9^C =<@wxV99!w/u_)Zj25oYjprK"꼿gQ*gff^\W?7)O5#VQb '{rk+u >A$?Xq hV2919M coTZ<8ij>s MfSw#˥ۉpS'$r:t;qHWҡ[u]Z]@V8m8 1FsG{ѾZ)4K]yW?V %7Vb[pO/)Xڀl5~C%3rd6ZZk1X>i amr.aAY#VfL8p쭧EE'<8wiXjSY+:G{m `qDcrrmZFIAAܳrG|qa8MQ5(tm:@~ِZP1ոҿkjǹy#p?VڝvU4:ٹմڱᦌ%+<3E/DChi37!p (EH A(n=ʃȿɩKyoդ]#OF2)C ^Is,OB8RzDj_w- p}բt.(FX*dž}qMwlmQ*.T2sTPSRcܘ]wz~t4Z\WE:-:HbOPWD7|/Op b]ȑBkQMǹyCҮuۯ?y͍4kZP8zqܙ$-ө\D3hLS *Uu>]LUt[*n*>UWMTf|W>bkEf/7# K|teC~SAuse6xvLݸƆ؈´F@xV|hxeF]Bm2R$Vri$*2+TŊ<9=oB`#qC1kƸ~WLUkoU *ymƁ NLO&f]zQDTvp is U~0 f2yf9uizwms̺4^i+tɂM,n.ׄՆ r"0K/O)I%fݖ7~\\;q/F`o#teL9:1/z ǶG ѭ*E$45׭$ޤnfNG$r^ w)eŬ_~^yLOSL Hd0Y8~PEHb/w#f[n ˺skIV Gɖ4nEBo #cBO&v⮧*XWS]LUثtb)u:*gzG5m?*c7waylMJ4F?!jY*I5&QѮRCTUE=h&a BÊWxGz3<#7 ά@E[fbטZ=W}ۉru;-hc,V)p@;nkwMco[/~]koiWֵ;qnR XZ4SV}]p-"g~sQHzOmuuk@0p{R tHsq˹<#h~rJ?59V Z;<ʃUJ?O.̟-kyJs[Vi<ƔBPJD]^C*:[]Oov*b]Nb68FP֘|e=.-bZakBzar5tKEuL -n+)mm峗QS^\U%DRѨSa0F C@gԤ׼߮hjwV--Cm5rm=#W^>0S+qvWZͅ/]IsŹj-ƹe(&(綞;$4LH"$wUp*(wZ[>U㊺twU[ъO6YyW){/ū^Gc6X1ݘѣu+YbV$niBiDi!0E"DTqU_E;|('o NT'MWIP"ką'pqo$V!\|8J[qEJȒ8w"Q۴ʷ쮖aٱ᳦󖒰+0>űUPRRO08+UvR ;⭯_zW)oǩ^_Z9ߦ*G"k\R-4Z4ⅆ,4pGo ׮* endstream endobj 91 0 obj << /Widths 64 0 R /BaseFont /USCGMP+t1-uni-regular /FirstChar 46 /LastChar 119 /FontDescriptor 63 0 R /Subtype /Type1 /Type /Font >> endobj 92 0 obj << /Widths 67 0 R /BaseFont /YEEMZR+t1-gul-regular /FirstChar 21 /LastChar 122 /FontDescriptor 66 0 R /Subtype /Type1 /Type /Font >> endobj 93 0 obj << /Widths 70 0 R /BaseFont /SUGESF+t1-gul-bold /FirstChar 46 /LastChar 120 /FontDescriptor 69 0 R /Subtype /Type1 /Type /Font >> endobj 94 0 obj << /Widths 73 0 R /BaseFont /HWNAVD+t1-gul-symbol /FirstChar 39 /LastChar 39 /FontDescriptor 72 0 R /Subtype /Type1 /Type /Font >> endobj 95 0 obj << /Widths 76 0 R /BaseFont /QDTHNW+t1-gul-regular-smallcaps /FirstChar 97 /LastChar 116 /FontDescriptor 75 0 R /Subtype /Type1 /Type /Font >> endobj 96 0 obj << /Widths 79 0 R /BaseFont /PLUIHW+t1-gul-regular-italic /FirstChar 21 /LastChar 122 /FontDescriptor 78 0 R /Subtype /Type1 /Type /Font >> endobj 97 0 obj << /Widths 82 0 R /BaseFont /TNSZOI+MTSYN /FirstChar 0 /LastChar 112 /FontDescriptor 81 0 R /Subtype /Type1 /Type /Font >> endobj 98 0 obj << /PTEX.PageNumber 1 /BBox [ 0 0 59.497 65.232 ] /Type /XObject /Filter /FlateDecode /Length 55 /Resources << /ProcSet [ /PDF /ImageC ] /XObject << /Im1 86 0 R >> /ExtGState << /GS1 85 0 R >> >> /Subtype /Form /PTEX.FileName (./elsevier-logo-orange-G-web.pdf) /PTEX.InfoDict 84 0 R /FormType 1 >> stream Hw6TH/-53474U0B3S=#cCK(/9W3P%7  endstream endobj 99 0 obj << /PTEX.PageNumber 1 /BBox [ 0 0 57.205 72.067 ] /Type /XObject /Filter /FlateDecode /Length 182 /Resources << /ProcSet [ /PDF /ImageC ] /XObject << /Im1 90 0 R >> /ExtGState << /GS1 89 0 R /GS2 88 0 R >> >> /Subtype /Form /PTEX.FileName (./nonrwalogo-G-web.pdf) /PTEX.InfoDict 87 0 R /FormType 1 >> stream Hd10 EO; 4.;Rt`@L' .pI e1bQz'97Wtc$=QT5̜8$W.V)C 2}ZjT V $~&}n JkM, GW8 endstream endobj 100 0 obj << /Trapped /False /Producer (pdfTeX-1.40.3) /GTS_PDFA1Version (PDF/A-1b:2005) /CreationDate (D:20091024115915+05'30') /ModDate (D:20091024115915+05'30') /PTEX.Fullbanner (This is pdfTeX, Version 3.1415926-1.40.9-2.2 \(Web2C 7.5.7\) kpathsea version 3.5.7) /Creator (Elsevier) >> endobj 101 0 obj << /Length1 1630 /Length2 7724 /Length3 532 /Length 8591 /Filter /FlateDecode >> stream xveP\.܂; C hBa`pf';',xp !x$Hp wί[wW{=t?Vm6&->yO_P srC耜 {." Bœ@H (Aaae(:xa6H,CV^DlPgGQ  mke T(Cp@P' ` 8m;;A`KCc#  oz.](@` 䄼s;A~[;!wp݃i9#0gRz7H[wn p8~wsE`N . `.pnͿPE aw_uG ?D :X #sp~3@Hov?|Pq{ pFާpT_"ELܿj?z Ax?`7 }_ G׿ko  ty'{)f!<-l 9] ;Zi#OHL/>][wŁ\P'_󇷀1_o?QZ#u\ug?1=>|B">A&(_|V!0O}тBJ_`8!D r܏?   {CP03Q]Fv&UIwzKYnqa;ePR^.7kϹ:)8:Ҡt/Y J dL-=0__~m^zI?*>8 `q/ cBN'= Iu{/O:0hyq? `pͣ5{kU*.3KSEN]xg yveeShBI*ev*=:UnH_\߼ќ6W<^-=8b}Z  (oLHWIR&OCXy,rJF;?\b/s65Q^yW,pJP9ct!/ϝ+U i=9q/Ye8S_ . N!cba̦wr匌qB f#8q}ų4Q|T45bgCj bNXGRۛ\q0^1fNt`UImiQaIHN#=J[`ʤ!GپOU  >tu7_EI'RgBdcn@H( .4$C #jޟRst>Lz]kF#3ς~23]f练GTG_PlUu;d$ CQ=H^E#ƀ5Qe#!FX%zcI*;3m1#K zMj̒ H fSO -HcL~n Hލ[ RWgXeQa/b^?pQR׈`UrZNFن8۪{4Ev#zGGtieҌ(3]K@e>;'qѴƇ%h´A͠;bȻԱռZ׸л޳uO*)㔰찿ړ\PHdJ3iIF9 ;Ud$V7".pj 3U2D,:{6[Sڑ;'4g[5q fҬB_ q<[.% ڽFڽY%Gx_6yKt VJPU0cv(`8yv= |B#Z:r;'$:gFeO5ފ鶴KtǏTnC;kB0[cZ~Ix|B[Ү/>Rxa$"rW[z˶u(Xmj5#Ne'?dʴaf$S} Y3/6}MV҆T\#[w%CO;̽.L˜eYpMN D_̵P:}LUO0tXZAQ&8Ju,RRGh-?)@sѤs%f8v0 u^#K:TmQsu !y>)x:} {*q$QZDl5+ފ>>uoZIAV8 ^~Dr]F8-h$>%؇>ȇeDZӽ>0Y)Tψ/D#9bυW&ĴܸlYҰ먽):na{\0zRR&Эf,ҕ@[H B6px⇾'9sQuϦrrSOvPk9'ԯ򶐢€ʏ3WZkbV\jd dQ2\֓)RNO8g|s_hbȝvhre©.V)4 GZXjhcS랉 Қ*kݞ!%SxZ{I9~݁yG~#9V1jA>mԇy6n='j\XI{` ^;~TtC)Z{~+X7FmS#iۯq$|=GʣF\IT(y+|Cڃ(df}Jd1XLx0:jTIULO,;9QVb2&9~k֗ euG+$pSͧ8ğ:s.䃰؋xm',G屷`|?;69ܪ(<6{K{@=-m^)ѯ 2YU}g=xx "f,9E~æiEK$q;rI +ȵ܋!"= N`F Ox !T9<&F_vG3QTєgXun=D!0b"&r_zO+ZQćJϧoS+K(!pڮ A;{8:thk`ϋz Ó-M45R.3D=4|JgT}i޿.7+]]nCWkm- 6^ny OTuE3JX݅I7P_ѕkzڂ{1r ՟$i=6,#LY~,):ŷF\^HftwSH)no5)>y;_}7?l{`LT0s_E&Q!`R3qI^Ѯ5J{UV^LaÈFySسCȦ u[ <D1 +=+ ㅥAvρ=Ojxez=Rр1գ%Q!YHlurM{8XWD80mu+'~mZMTz ͠줯r606%NP'ŝ!$m3Ͳ>;x1Ф.M9I4ZR[BcxY[Ag_@5~~؝SrYY WthسqP,^SYj8Xb|'E*n]{`qdߚj =,uj[aPrђ2ѱFÝ1硬W⧃:fپ<.nF5 ?z5Hog'UFjf9A2T+7l'AE&Qq/e -GR z d;sKy:Kۓ,z\[Z?X)(Nz`)gVoJбOͅrOs0\HdǭdFG7w?,cՈƦ l ;uWcuajN.4Nv=2#bM4WHF0Я%oqBUˮ [!4W ]۟‘,ɺKSͷ uwIEX7/~.tEGh㖯oG}`&CdJx.a*w2g$ ״K ,95g7b hƚ},;ߤS6Ïȡn‹I*}2#%s TJ*ɸJ1jwQ%_&` 72jfJ1g'OSKt fD]DCue@B@+ εY1"pnYI5RROoDW]4ܨܚ\~U.`S/v}VῇQ᠂EwBN8ޒ/!TٲWEUh=!}߽LlQ Fs*/kׅ}C4}E4l݆V[HNkw)—_n慚J>D{P%O͡|gFJK lIR1I_N;hqnw:՚mݩtCbzh^n—%ij+<*џ]gR.B/% +u:+UC.^{cwS>+ӶJ#sڴ6$,=)g(Ȏ<ׯ VǓ._ᒢt~l ~vض{TKrfLg7)f8ӗˬ2" ,syD&IN)D/C6U."!ԇ$xhr31U!FZN/Y[ifjQzm+QX&vBUk$J t9E=:#E5q~%5#v=NEUSwj6OhUKpI axJTOl@[;| vvmieHzrO]28#-D"/oEts)%ҸQtiKb>M D}ad`,eV-uvxme9 _Yfb8eQD7g+N:l4@^tѯ"z L+ezSTGi_݌FFl/d61pmBk^-VHo |e;Yڹ0`4|Eޡa|ӐV{W^+0ϜyK_N}ҷyrzm`"J&lh:T'<;/p +@ ,¼/-J\{l.:*{m@*+"NA_s^}R&оy ooT⸸+/gk@ZSѽڻ(JXQ- u3̭5klkNR__\ M jv='(~Q˸GL`%~lh}g W="7_c".?֣ r&z h%L6/Չ*{V A59|뛡0^\*af%4q8\P5|;R\9*n)ʺN gK_qH/jaוKNd FHxbf|gTD)!?^67ݨZ =;y=<-X-Ҕ֪ݢ$H `oc;@Ap#nc~U endstream endobj 102 0 obj << /ModDate (D:20091106103755+00'00') /Product (StampPDF Batch) /Version (3.0, SPDF Build Number 1085 for Windows, Application Build Date: Oct 13 2003) /Vendor (Appligent) >> endobj 103 0 obj << /CreationDate (D:20091106103755Z) /Creator (LaTeX with hyperref package) /Producer (pdfeTeX-1.11a) >> endobj 104 0 obj << /Filter /FlateDecode /Length 128 >> stream xMA 0JnK}oySpGa`gUn2vc!!|l ѡ)kpA9 ~(D<$?1gxK j` W=:4{g; & endstream endobj 105 0 obj << /NewFont:0 106 0 R >> endobj 107 0 obj << /Filter /FlateDecode /Length 128 >> stream xMA 0JnK}oySpGa`gUn2vc!!|l ѡ)kpA9 ~(D<$?1gxK j` W=:4{g; & endstream endobj 108 0 obj << /NewFont:0 106 0 R >> endobj 109 0 obj << /Filter /FlateDecode /Length 128 >> stream xMA 0JnK}oySpGa`gUn2vc!!|l ѡ)kpA9 ~(D<$?1gxK j` W=:4{g; & endstream endobj 110 0 obj << /NewFont:0 106 0 R >> endobj 111 0 obj << /Filter /FlateDecode /Length 128 >> stream xMA 0JnK}oySpGa`gUn2vc!!|l ѡ)kpA9 ~(D<$?1gxK j` W=:4{g; & endstream endobj 112 0 obj << /NewFont:0 106 0 R >> endobj 113 0 obj << /Filter /FlateDecode /Length 128 >> stream xMA 0JnK}oySpGa`gUn2vc!!|l ѡ)kpA9 ~(D<$?1gxK j` W=:4{g; & endstream endobj 114 0 obj << /NewFont:0 106 0 R >> endobj 115 0 obj << /Filter /FlateDecode /Length 128 >> stream xMA 0JnK}oySpGa`gUn2vc!!|l ѡ)kpA9 ~(D<$?1gxK j` W=:4{g; & endstream endobj 116 0 obj << /NewFont:0 106 0 R >> endobj 117 0 obj << /Filter /FlateDecode /Length 128 >> stream xMA 0JnK}oySpGa`gUn2vc!!|l ѡ)kpA9 ~(D<$?1gxK j` W=:4{g; & endstream endobj 118 0 obj << /NewFont:0 106 0 R >> endobj 119 0 obj << /Filter /FlateDecode /Length 128 >> stream xMA 0JnK}oySpGa`gUn2vc!!|l ѡ)kpA9 ~(D<$?1gxK j` W=:4{g; & endstream endobj 120 0 obj << /NewFont:0 106 0 R >> endobj 121 0 obj << /Filter /FlateDecode /Length 128 >> stream xMA 0JnK}oySpGa`gUn2vc!!|l ѡ)kpA9 ~(D<$?1gxK j` W=:4{g; & endstream endobj 122 0 obj << /NewFont:0 106 0 R >> endobj 123 0 obj << /Filter /FlateDecode /Length 128 >> stream xMA 0JnK}oySpGa`gUn2vc!!|l ѡ)kpA9 ~(D<$?1gxK j` W=:4{g; & endstream endobj 124 0 obj << /NewFont:0 106 0 R >> endobj 125 0 obj << /Filter /FlateDecode /Length 128 >> stream xMA 0JnK}oySpGa`gUn2vc!!|l ѡ)kpA9 ~(D<$?1gxK j` W=:4{g; & endstream endobj 126 0 obj << /NewFont:0 106 0 R >> endobj 127 0 obj << /Filter /FlateDecode /Length 128 >> stream xMA 0JnK}oySpGa`gUn2vc!!|l ѡ)kpA9 ~(D<$?1gxK j` W=:4{g; & endstream endobj 128 0 obj << /NewFont:0 106 0 R >> endobj 129 0 obj << /Filter /FlateDecode /Length 128 >> stream xMA 0JnK}oySpGa`gUn2vc!!|l ѡ)kpA9 ~(D<$?1gxK j` W=:4{g; & endstream endobj 130 0 obj << /NewFont:0 106 0 R >> endobj 131 0 obj << /Filter /FlateDecode /Length 128 >> stream xMA 0JnK}oySpGa`gUn2vc!!|l ѡ)kpA9 ~(D<$?1gxK j` W=:4{g; & endstream endobj 132 0 obj << /NewFont:0 106 0 R >> endobj 106 0 obj << /Type /Font /Subtype /Type1 /Name /NewFont:0 /BaseFont /Helvetica-Bold /Encoding /WinAnsiEncoding >> endobj 133 0 obj << /Type /XObject /Subtype /Form /FormType 1 /PTEX.FileName (./main.pdf) /PTEX.PageNumber 14 /PTEX.InfoDict 100 0 R /Matrix [ 1 0 0 1 0 0 ] /BBox [ 0 0 544.252 742.677 ] /Resources << /Font << /F22 92 0 R /F76 96 0 R >> /ProcSet [ /PDF /Text ] >> /Length 3889 >> stream 1 0 0 1 37.134 702.503 cm 0 g 0 G 1 0 0 1 -37.134 -702.503 cm BT /F76 6.6311 Tf 152.872 702.503 Td [(Z.)-250(Yuan,)-250(X.)-250(Zou)-250(/)-250(Nonlinear)-250(Analysis:)-333(Real)-250(World)-250(Applications)-250(11)-250(\0502010\051)-250(232\025245)]TJ/F22 6.6311 Tf 338.995 0 Td [(245)]TJ ET 1 0 0 1 503.385 702.503 cm 0 g 0 G 1 0 0 1 -466.251 -21.918 cm 0 g 0 G 1 0 0 1 -37.134 -680.585 cm BT /F22 6.6311 Tf 37.134 680.585 Td [([25])]TJ ET 1 0 0 1 49.6 680.585 cm 0 g 0 G 1 0 0 1 -49.6 -680.585 cm BT /F22 6.6311 Tf 53.087 680.585 Td [(J.H.)-250(Van)-250(Vuuren,)-250(The)-250(existence)-250(of)-250(traveling)-250(plane)-250(waves)-250(in)-250(a)-250(general)-250(class)-250(of)-250(competition\025diffusion)-250(systems,)-250(IMA)-250(J.)-250(Appl.)-250(Math.)-250(55)-250(\0501995\051)-250(135\025148.)]TJ ET 1 0 0 1 37.134 680.585 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.97 cm 0 g 0 G 1 0 0 1 -37.134 -672.615 cm BT /F22 6.6311 Tf 37.134 672.615 Td [([26])]TJ ET 1 0 0 1 49.6 672.615 cm 0 g 0 G 1 0 0 1 -49.6 -672.615 cm BT /F22 6.6311 Tf 53.087 672.615 Td [(G.S.K.)-250(Wolkowicz,)-250(Bifurcation)-250(analysis)-250(of)-250(a)-250(predator\025prey)-250(system)-250(involving)-250(group)-250(defense,)-250(SIAM)-250(J.)-250(Appl.)-250(Math.)-250(48)-250(\0501988\051)-250(592\025606.)]TJ ET 1 0 0 1 37.134 672.615 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.97 cm 0 g 0 G 1 0 0 1 -37.134 -664.645 cm BT /F22 6.6311 Tf 37.134 664.645 Td [([27])]TJ ET 1 0 0 1 49.6 664.645 cm 0 g 0 G 1 0 0 1 -49.6 -664.645 cm BT /F22 6.6311 Tf 53.087 664.645 Td [(J.)-250(Wu,)-250(X.)-250(Zou,)-250(Traveling)-250(wave)-250(fronts)-250(of)-250(reaction\025diffusion)-250(systems)-250(with)-250(delay,)-250(J.)-250(Dyn.)-250(Diff.)-250(Eqns)-250(13)-250(\0502001\051)-250(651\025687.)]TJ ET 1 0 0 1 37.134 664.645 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.97 cm 0 g 0 G 1 0 0 1 -37.134 -656.675 cm BT /F22 6.6311 Tf 37.134 656.675 Td [([28])]TJ ET 1 0 0 1 49.6 656.675 cm 0 g 0 G 1 0 0 1 -49.6 -656.675 cm BT /F22 6.6311 Tf 53.087 656.675 Td [(J.)-250(Wu,)-250(X.)-250(Zou,)-250(Erratum)-250(to)-250(Traveling)-250(wave)-250(fronts)-250(of)-250(reaction-diffusion)-250(systems)-250(with)-250(delay,)-250(J.)-250(Dyn.)-250(Diff.)-250(Eq.)-250(20)-250(\0502008\051)-250(531\025533.)]TJ ET 1 0 0 1 37.134 656.675 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.97 cm 0 g 0 G 1 0 0 1 -37.134 -648.705 cm BT /F22 6.6311 Tf 37.134 648.705 Td [([29])]TJ ET 1 0 0 1 49.6 648.705 cm 0 g 0 G 1 0 0 1 -49.6 -648.705 cm BT /F22 6.6311 Tf 53.087 648.705 Td [(E.)-250(Zeilder,)-250(Nonlinear)-250(Functional)-250(Analysis)-250(and)-250(its)-250(Applications:)-250(I,)-250(Fixed-point)-250(Theorems,)-250(Spring,)-250(New)-250(York,)-250(1986.)]TJ ET 1 0 0 1 37.134 648.705 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.97 cm 0 g 0 G 1 0 0 1 -37.134 -640.735 cm BT /F22 6.6311 Tf 37.134 640.735 Td [([30])]TJ ET 1 0 0 1 49.6 640.735 cm 0 g 0 G 1 0 0 1 -49.6 -640.735 cm BT /F22 6.6311 Tf 53.087 640.735 Td [(X.-Q.)-250(Zhao,)-250(W.)-250(Wang,)-250(Fisher)-250(waves)-250(in)-250(an)-250(epidemic,)-250(Discrete)-250(Contin.)-250(Dyn.)-250(Syst.)-250(Ser.)-250(B)-250(4)-250(\0502004\051)-250(1117\0251128.)]TJ ET 1 0 0 1 37.134 640.735 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.97 cm 0 g 0 G 1 0 0 1 -37.134 -632.765 cm BT /F22 6.6311 Tf 37.134 632.765 Td [([31])]TJ ET 1 0 0 1 49.6 632.765 cm 0 g 0 G 1 0 0 1 -49.6 -632.765 cm BT /F22 6.6311 Tf 53.087 632.765 Td [(X.)-216(Zou,)-216(J.)-216(Wu,)-216(Existence)-216(of)-216(traveling)-216(wave)-215(fronts)-216(in)-216(delayed)-216(reaction\025diffusion)-216(systems)-216(via)-216(the)-216(monotone)-216(iteration)-216(method,)-216(Proc.)-215(Amer.)-216(Math.)-216(Soc.)-216(125)]TJ ET 1 0 0 1 37.134 632.765 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -632.765 cm BT /F22 6.6311 Tf 53.087 624.795 Td [(\0501997\051)-250(2589\0252598.)]TJ ET 1 0 0 1 37.134 624.795 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -584.309 cm 0 g 0 G 1 0 0 1 466.251 0 cm 0 g 0 G endstream endobj 134 0 obj << /Type /XObject /Subtype /Form /FormType 1 /PTEX.FileName (./main.pdf) /PTEX.PageNumber 13 /PTEX.InfoDict 100 0 R /Matrix [ 1 0 0 1 0 0 ] /BBox [ 0 0 544.252 742.677 ] /Resources << /Font << /F150 97 0 R /F76 96 0 R /F22 92 0 R /F123 93 0 R /F136 39 0 R /F152 60 0 R /F154 59 0 R >> /ProcSet [ /PDF /Text ] >> /Length 26031 >> stream 1 0 0 1 40.867 702.503 cm 0 g 0 G 1 0 0 1 -40.867 -702.503 cm BT /F22 6.6311 Tf 40.867 702.503 Td [(244)]TJ/F76 6.6311 Tf 115.738 0 Td [(Z.)-250(Yuan,)-250(X.)-250(Zou)-250(/)-250(Nonlinear)-250(Analysis:)-333(Real)-250(World)-250(Applications)-250(11)-250(\0502010\051)-250(232\025245)]TJ ET 1 0 0 1 507.118 702.503 cm 0 g 0 G 1 0 0 1 -507.118 -702.503 cm BT /F22 8.2889 Tf 40.867 680.585 Td [(which)-250(has)-250(the)-250(eigenvalues)]TJ ET 1 0 0 1 40.867 680.585 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -680.585 cm BT /F154 9.5641 Tf 64.777 655.94 Td [(\026)]TJ/F22 5.8022 Tf 6.561 -1.435 Td [(1)]TJ/F150 9.5641 Tf 6.514 1.435 Td [(D)]TJ/F76 8.2889 Tf 11.312 6.704 Td [(c)]TJ/F150 9.5641 Tf 6.44 0 Td [(\000)]TJ/F152 9.5641 Tf 9.585 8.436 Td [(p)]TJ ET q 1 0 0 1 113.118 671.271 cm []0 d 0 J 0.383 w 0 0 m 68.298 0 l S Q BT /F76 8.2889 Tf 113.118 662.644 Td [(c)]TJ/F22 5.8022 Tf 4.314 2.764 Td [(2)]TJ/F150 9.5641 Tf 5.983 -2.764 Td [(\000)]TJ/F22 8.2889 Tf 9.585 0 Td [(4)]TJ/F76 8.2889 Tf 4.8 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.434 Td [(2)]TJ/F76 8.2889 Tf 3.858 1.434 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(/)]TJ ET q 1 0 0 1 89.164 658.331 cm []0 d 0 J 0.44 w 0 0 m 92.252 0 l S Q BT /F22 8.2889 Tf 128.658 649.149 Td [(2)]TJ/F76 8.2889 Tf 4.799 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.434 Td [(2)]TJ/F154 9.5641 Tf 44.547 8.225 Td [(;)-1900(\026)]TJ/F22 5.8022 Tf 27.898 -1.435 Td [(2)]TJ/F150 9.5641 Tf 6.514 1.435 Td [(D)]TJ/F76 8.2889 Tf 11.312 6.704 Td [(c)]TJ/F150 9.5641 Tf 6.44 0 Td [(C)]TJ/F152 9.5641 Tf 9.585 8.436 Td [(p)]TJ ET q 1 0 0 1 252.29 671.271 cm []0 d 0 J 0.383 w 0 0 m 68.298 0 l S Q BT /F76 8.2889 Tf 252.29 662.644 Td [(c)]TJ/F22 5.8022 Tf 4.314 2.764 Td [(2)]TJ/F150 9.5641 Tf 5.983 -2.764 Td [(\000)]TJ/F22 8.2889 Tf 9.586 0 Td [(4)]TJ/F76 8.2889 Tf 4.799 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F76 8.2889 Tf 3.857 1.434 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(/)]TJ ET q 1 0 0 1 228.336 658.331 cm []0 d 0 J 0.44 w 0 0 m 92.252 0 l S Q BT /F22 8.2889 Tf 267.83 649.149 Td [(2)]TJ/F76 8.2889 Tf 4.799 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F154 9.5641 Tf 44.546 8.225 Td [(:)]TJ ET 1 0 0 1 40.867 655.94 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -655.94 cm BT /F22 8.2889 Tf 40.867 632.672 Td [(Thus,)-309(if)]TJ/F76 8.2889 Tf 30.635 0 Td [(c)]TJ/F154 9.5641 Tf 8.223 0 Td [(<)]TJ/F22 8.2889 Tf 11.37 0 Td [(2)]TJ/F150 9.5641 Tf 4.799 7.152 Td [(p)]TJ ET q 1 0 0 1 103.985 640.049 cm []0 d 0 J 0.45 w 0 0 m 43.616 0 l S Q BT /F76 8.2889 Tf 103.985 632.672 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F76 8.2889 Tf 3.857 1.434 Td [(g)]TJ/F154 9.5641 Tf 5.003 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(,)-309(then)]TJ/F154 9.5641 Tf 24.559 0 Td [(\026)]TJ/F22 5.8022 Tf 6.561 -1.434 Td [(1)]TJ/F22 8.2889 Tf 6.418 1.434 Td [(and)]TJ/F154 9.5641 Tf 16.81 0 Td [(\026)]TJ/F22 5.8022 Tf 6.561 -1.434 Td [(2)]TJ/F22 8.2889 Tf 6.418 1.434 Td [(are)-309(complex,)-309(implying)-309(that)-309(solutions)-309(of)]TJ ET 1 0 0 1 369 632.672 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -369 -632.672 cm BT /F22 8.2889 Tf 369 632.672 Td [(\0502.1\051)]TJ ET 1 0 0 1 386.672 632.672 cm 0 g 0 G 1 0 0 1 -386.672 -632.672 cm BT /F22 8.2889 Tf 389.232 632.672 Td [(near)]TJ/F154 9.5641 Tf 19.636 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(=)]TJ/F76 8.2889 Tf 4.496 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(0)]TJ/F154 9.5641 Tf 4.8 0 Td [(/)]TJ/F22 8.2889 Tf 6.128 0 Td [(oscillate)-309(about)]TJ ET 1 0 0 1 40.867 632.672 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -632.672 cm BT /F154 9.5641 Tf 40.867 622.212 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(/)]TJ/F22 8.2889 Tf 7.033 0 Td [(as)]TJ/F76 8.2889 Tf 11.456 0 Td [(s)]TJ/F150 9.5641 Tf 9.612 0 Td [(!)-651(\0001)]TJ/F22 8.2889 Tf 33.965 0 Td [(.)-419(Hence,)-418(the)]TJ/F154 9.5641 Tf 50.666 0 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 7.033 0 Td [(component)-418(of)-418(solutions)-418(would)-418(take)-418(negative)-419(values.)-419(Therefore,)-418(biologically)]TJ ET 1 0 0 1 40.867 622.212 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -622.212 cm BT /F22 8.2889 Tf 40.867 611.751 Td [(meaningful)-250(traveling)-250(wave)-250(front)-250(can)-250(not)-250(exist)-250(in)-250(such)-250(a)-250(case.)-250(The)-250(proof)-250(of)-250(the)-250(theorem)-250(is)-250(completed.)]TJ/F136 7.9701 Tf 390.346 0 Td [(\003)]TJ ET 1 0 0 1 40.867 611.751 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -611.751 cm BT /F123 8.2889 Tf 40.867 588.52 Td [(4.)-500(Conclusion)-250(and)-250(discussion)]TJ ET 1 0 0 1 40.867 588.52 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -588.52 cm BT /F22 8.2889 Tf 52.822 567.563 Td [(We)-253(have)-253(considered)-253(a)-253(reaction)-253(diffusion)-253(model)-253(for)-253(competing)-253(pioneer)-253(and)-254(climax)-253(species.)-253(Recent)-253(work)-253([)]TJ ET 1 0 0 1 449.8 567.563 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -449.8 -567.563 cm BT /F22 8.2889 Tf 449.8 567.563 Td [(1)]TJ ET 1 0 0 1 454.599 567.563 cm 0 g 0 G 1 0 0 1 -454.599 -567.563 cm BT /F22 8.2889 Tf 454.599 567.563 Td [(])-253(showed)-253(that)]TJ ET 1 0 0 1 40.867 567.563 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -567.563 cm BT /F22 8.2889 Tf 40.867 557.102 Td [(the)-346(model)-346(supports)-347(traveling)-346(wave)-346(fronts)-346(connecting)-347(two)-346(boundary)-346(equilibria)-346(\050two)-347(competition-exclusion)-346(equilibria\051)-346(in)]TJ ET 1 0 0 1 40.867 557.102 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -557.102 cm BT /F22 8.2889 Tf 40.867 546.641 Td [(certain)-345(range)-346(of)-345(parameters,)-346(while)-345(our)-346(results)-345(here)-346(have)-345(shown)-346(that)-345(in)-345(some)-346(other)-345(parameter)-346(ranges,)-345(the)-346(model)-345(allows)]TJ ET 1 0 0 1 40.867 546.641 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -546.641 cm BT /F22 8.2889 Tf 40.867 536.18 Td [(traveling)-331(wave)-330(fronts)-331(connecting)-330(the)-331(pioneer-invasion-only)-331(equilibriu)1(m)-331(to)-331(the)-330(co-invasion)-331(equilibrium.)-331(The)-331(existence)-330(of)]TJ ET 1 0 0 1 40.867 536.18 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -536.18 cm BT /F22 8.2889 Tf 40.867 525.719 Td [(such)-278(co-invasion)-278(waves)-278(may)-278(account)-278(for)-278(a)-278(``friendly)-279(competition'',)-278(explaining)-278(the)-278(situation)-278(where)-278(the)-278(pioneer)-278(species)-278(first)]TJ ET 1 0 0 1 40.867 525.719 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -525.719 cm BT /F22 8.2889 Tf 40.867 515.259 Td [(invades)-249(spatially,)-250(followed)-249(by)-250(a)-249(climax)-250(sp)1(ecies)-250(competing)]TJ/F76 8.2889 Tf 221.051 0 Td [(mildly)]TJ/F22 8.2889 Tf 25.094 0 Td [(with)-249(the)-250(pioneer)-249(species,)-250(resulting)-249(in)-250(co-existence)-249(of)-249(both)]TJ ET 1 0 0 1 40.867 515.259 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -515.259 cm BT /F22 8.2889 Tf 40.867 504.798 Td [(species)-250(in)-250(the)-250(long)-250(term.)]TJ ET 1 0 0 1 40.867 504.798 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -504.798 cm BT /F22 8.2889 Tf 52.822 494.328 Td [(In)-224(addition)-224(to)-224(the)-224(conditions)]TJ ET 1 0 0 1 162.019 494.328 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -162.019 -494.328 cm BT /F22 8.2889 Tf 162.019 494.328 Td [(\0501.3\051)]TJ ET 1 0 0 1 179.691 494.328 cm 0 g 0 G 1 0 0 1 -179.691 -494.328 cm BT /F22 8.2889 Tf 181.548 494.328 Td [(and)]TJ ET 1 0 0 1 197.653 494.328 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -197.653 -494.328 cm BT /F22 8.2889 Tf 197.653 494.328 Td [(\0501.4\051)]TJ ET 1 0 0 1 215.325 494.328 cm 0 g 0 G 1 0 0 1 -215.325 -494.328 cm BT /F22 8.2889 Tf 217.182 494.328 Td [(determining)-224(the)-224(distribution)-224(of)-224(the)-224(equilibria,)-224(there)-224(are)-224(other)-224(two)-224(conditions)]TJ ET 1 0 0 1 40.867 494.328 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -494.328 cm BT /F22 8.2889 Tf 40.867 483.867 Td [(for)-249(the)-249(existence)-250(of)-249(co-invasion)-249(waves.)-249(Although)-250(we)-249(do)-249(not)-249(have)-250(a)-249(good)-249(explanation)-249(for)-249(the)-250(inequality)]TJ/F76 8.2889 Tf 389.767 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(1)]TJ/F150 9.5641 Tf 6.514 1.434 Td [(\024)]TJ/F22 8.2889 Tf 9.868 0 Td [(2)]TJ/F76 8.2889 Tf 4.799 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F22 8.2889 Tf 3.858 1.434 Td [(,)-249(the)-249(whole)]TJ ET 1 0 0 1 40.867 483.867 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -483.867 cm BT /F22 8.2889 Tf 40.867 473.407 Td [(condition)-242(set)-242(seemingly)-243(suggests)-242(that)-242(appropriate)-243(diffusion)-242(rates)-242(for)-242(the)-243(two)-242(species)-242(also)-243(play)-242(a)-242(role)-242(in)-243(determining)-242(the)-242(co-)]TJ ET 1 0 0 1 40.867 473.407 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -473.407 cm BT /F22 8.2889 Tf 40.867 462.946 Td [(invasion)-245(waves,)-245(and)-246(this)-245(may)-245(partially)-245(confirm)-246(the)-245(argument)-245(that)-245(spatial)-246(diffusion/dispersal)-245(is)-245(one)-245(of)-246(the)-245(important)-245(factors)]TJ ET 1 0 0 1 40.867 462.946 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -462.946 cm BT /F22 8.2889 Tf 40.867 452.485 Td [(that)-250(lead)-250(to)-250(biological)-250(diversity.)]TJ ET 1 0 0 1 40.867 452.485 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -452.485 cm BT /F22 8.2889 Tf 52.822 442.015 Td [(The)-272(nature)-272(of)-271(interaction)-272(of)-272(pioneer-climax)-272(species)-272(allows)-271(complicated)-272(equilibrium)-272(structure,)-272(as)-272(was)-271(shown)-272(in)-272([)]TJ ET 1 0 0 1 481.116 442.015 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -481.116 -442.015 cm BT /F22 8.2889 Tf 481.116 442.015 Td [(2)]TJ ET 1 0 0 1 485.916 442.015 cm 0 g 0 G 1 0 0 1 -485.916 -442.015 cm BT /F22 8.2889 Tf 485.916 442.015 Td [(].)-272(The)]TJ ET 1 0 0 1 40.867 442.015 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -442.015 cm BT /F22 8.2889 Tf 40.867 431.555 Td [(work)-204([)]TJ ET 1 0 0 1 65.376 431.555 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -65.376 -431.555 cm BT /F22 8.2889 Tf 65.376 431.555 Td [(1)]TJ ET 1 0 0 1 70.175 431.555 cm 0 g 0 G 1 0 0 1 -70.175 -431.555 cm BT /F22 8.2889 Tf 70.175 431.555 Td [(])-204(and)-204(our)-204(work)-204(here)-204(only)-203(considered)-204(two)-204(possible)-204(cases.)-204(Traveling)-204(wave)-204(fronts)-204(connecting)-204(other)-204(pair)-204(of)-203(equilibria)-204(are)]TJ ET 1 0 0 1 40.867 431.555 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -431.555 cm BT /F22 8.2889 Tf 40.867 421.094 Td [(also)-222(possible)-221(for)-222(some)-222(other)-221(parameter)-222(ranges,)-222(among)-221(which,)-222(the)-222(one)-221(connecting)-222(the)-222(trivial)-221(equilibrium)]TJ/F154 9.5641 Tf 393.472 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(/)]TJ/F22 8.2889 Tf 5.405 0 Td [(with)-222(another)]TJ ET 1 0 0 1 40.867 421.094 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -421.094 cm BT /F22 8.2889 Tf 40.867 410.633 Td [(equilibrium)-250(would)-250(be)-250(of)-250(great)-250(interest)-250(since)-250(it)-250(corresponds)-250(to)-250(the)-250(concerns)-250(of)-250(co-extinction.)]TJ ET 1 0 0 1 40.867 410.633 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -410.633 cm BT /F123 8.2889 Tf 40.867 387.402 Td [(Acknowledgments)]TJ ET 1 0 0 1 40.867 387.402 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -387.402 cm BT /F22 8.2889 Tf 52.822 366.445 Td [(The)-195(authors)-195(would)-195(like)-195(to)-196(thank)-195(an)-195(anonymous)-195(referee)-195(for)-195(his/her)-195(valuable)-195(comments)-195(which)-195(have)-196(led)-195(to)-195(an)-195(improvement)]TJ ET 1 0 0 1 40.867 366.445 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -366.445 cm BT /F22 8.2889 Tf 40.867 355.984 Td [(in)-250(the)-250(presentation)-250(of)-250(the)-250(paper.)]TJ ET 1 0 0 1 40.867 355.984 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -355.984 cm BT /F22 8.2889 Tf 52.822 345.514 Td [(The)-258(first)-257(author)-258(was)-257(supported)-258(by)-257(China)-258(Scholarship)-258(Council)-257(and)-258(by)-257(the)-258(Natural)-258(Science)-257(Foundation)-258(of)-257(Hunan)-258(Province.)]TJ ET 1 0 0 1 40.867 345.514 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -345.514 cm BT /F22 8.2889 Tf 40.867 335.053 Td [(The)-250(second)-250(author)-250(was)-250(supported)-250(by)-250(NSERC)-250(of)-250(Canada,)-250(NCE-MITACS)-250(of)-250(Canada)-250(and)-250(by)-250(PREA)-250(of)-250(Ontario.)]TJ ET 1 0 0 1 40.867 335.053 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -335.053 cm BT /F123 8.2889 Tf 40.867 311.823 Td [(References)]TJ ET 1 0 0 1 40.867 311.823 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -18.467 cm 0 g 0 G 1 0 0 1 -40.867 -293.356 cm BT /F22 6.6311 Tf 44.706 293.356 Td [([1])]TJ ET 1 0 0 1 53.333 293.356 cm 0 g 0 G 1 0 0 1 -53.333 -293.356 cm BT /F22 6.6311 Tf 56.82 293.356 Td [(S.)-251(Brown,)-250(J.)-251(Dockery,)-251(M.)-250(Pernarowski,)-251(Traveling)-251(wave)-250(solutions)-251(of)-251(a)-250(reaction)-251(diffusion)-251(model)-250(for)-251(competing)-251(pioneer)-250(and)-251(climax)-251(species,)-251(Math.)-250(Biosci.)]TJ ET 1 0 0 1 40.867 293.356 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -293.356 cm BT /F22 6.6311 Tf 56.82 285.386 Td [(194)-250(\0502005\051)-250(21\02536.)]TJ ET 1 0 0 1 40.867 285.386 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -277.398 cm BT /F22 6.6311 Tf 44.706 277.398 Td [([2])]TJ ET 1 0 0 1 53.333 277.398 cm 0 g 0 G 1 0 0 1 -53.333 -277.398 cm BT /F22 6.6311 Tf 56.82 277.398 Td [(J.)-250(Robert)-250(Buchanan,)-250(Asymptotic)-250(behavior)-250(of)-250(two)-250(interacting)-250(pioneer/climax)-250(species,)-250(Fields)-250(Inst.)-250(Comm.)-250(21)-250(\0501999\051)-250(51\02563.)]TJ ET 1 0 0 1 40.867 277.398 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -269.41 cm BT /F22 6.6311 Tf 44.706 269.41 Td [([3])]TJ ET 1 0 0 1 53.333 269.41 cm 0 g 0 G 1 0 0 1 -53.333 -269.41 cm BT /F22 6.6311 Tf 56.82 269.41 Td [(J.)-250(Robert)-250(Buchanan,)-250(Turing)-250(instability)-250(in)-250(pioneer/climax)-250(species)-250(interactions,)-250(Math.)-250(Biosci.)-250(194)-250(\0502005\051)-250(199\025216.)]TJ ET 1 0 0 1 40.867 269.41 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -261.422 cm BT /F22 6.6311 Tf 44.706 261.422 Td [([4])]TJ ET 1 0 0 1 53.333 261.422 cm 0 g 0 G 1 0 0 1 -53.333 -261.422 cm BT /F22 6.6311 Tf 56.82 261.422 Td [(H.N.)-250(Comins,)-250(M.P.)-250(Hassell,)-250(Predation)-250(in)-250(multi-prey)-250(communities,)-250(J.)-250(Theoret.)-250(Biol.)-250(62)-250(\0501976\051)-250(93\025114.)]TJ ET 1 0 0 1 40.867 261.422 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -253.434 cm BT /F22 6.6311 Tf 44.706 253.434 Td [([5])]TJ ET 1 0 0 1 53.333 253.434 cm 0 g 0 G 1 0 0 1 -53.333 -253.434 cm BT /F22 6.6311 Tf 56.82 253.434 Td [(J.M.)-250(Cushing,)-250(Nonlinear)-250(matrix)-250(models)-250(and)-250(population)-250(dynamics,)-250(Natur.)-250(Resource)-250(Modeling)-250(2)-250(\0501988\051)-250(539\025580.)]TJ ET 1 0 0 1 40.867 253.434 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.989 cm 0 g 0 G 1 0 0 1 -40.867 -245.445 cm BT /F22 6.6311 Tf 44.706 245.445 Td [([6])]TJ ET 1 0 0 1 53.333 245.445 cm 0 g 0 G 1 0 0 1 -53.333 -245.445 cm BT /F22 6.6311 Tf 56.82 245.445 Td [(J.M.)-402(Cushing,)-402(The)-403(Allee)-402(effect)-402(in)-402(age-structured)-402(population)-403(dynamics,)-402(in:)-402(T.G.)-402(Hallam,)-403(L.J.)-402(Gross,)-402(S.A.)-402(Levin)-402(\050Eds.\051,)-403(Mathematical)-402(Ecology,)-402(World)]TJ ET 1 0 0 1 40.867 245.445 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -245.445 cm BT /F22 6.6311 Tf 56.82 237.475 Td [(Scientific,)-250(Singapore,)-250(1988,)-250(pp.)-250(479\025505.)]TJ ET 1 0 0 1 40.867 237.475 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -229.487 cm BT /F22 6.6311 Tf 44.706 229.487 Td [([7])]TJ ET 1 0 0 1 53.333 229.487 cm 0 g 0 G 1 0 0 1 -53.333 -229.487 cm BT /F22 6.6311 Tf 56.82 229.487 Td [(J.E.)-250(Franke,)-250(A.-A.)-250(Yakubu,)-250(Mutual)-250(exclusion)-250(versus)-250(coexistence)-250(for)-250(discrete)-250(competitive)-250(systems,)-250(J.)-250(Math.)-250(Biol.)-250(30)-250(\0501991\051)-250(161\025168.)]TJ ET 1 0 0 1 40.867 229.487 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -221.499 cm BT /F22 6.6311 Tf 44.706 221.499 Td [([8])]TJ ET 1 0 0 1 53.333 221.499 cm 0 g 0 G 1 0 0 1 -53.333 -221.499 cm BT /F22 6.6311 Tf 56.82 221.499 Td [(J.E.)-250(Franke,)-250(A.-A.)-250(Yakubu,)-250(Pioneer)-250(exclusion)-250(in)-250(a)-250(one-hump)-250(discrete)-250(pioneer-climax)-250(competitive)-250(system,)-250(J.)-250(Math.)-250(Biol.)-250(32)-250(\0501994\051)-250(771\025787.)]TJ ET 1 0 0 1 40.867 221.499 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -213.511 cm BT /F22 6.6311 Tf 44.706 213.511 Td [([9])]TJ ET 1 0 0 1 53.333 213.511 cm 0 g 0 G 1 0 0 1 -53.333 -213.511 cm BT /F22 6.6311 Tf 56.82 213.511 Td [(H.I.)-250(Freedman,)-250(G.)-250(Wolkowicz,)-250(Predator\025prey)-250(systems)-250(with)-250(group)-250(defense:)-250(The)-250(paradox)-250(of)-250(enrichment)-250(revisited,)-250(Bull.)-250(Math)-250(Biol.)-250(48)-250(\0501986\051)-250(493\025508.)]TJ ET 1 0 0 1 40.867 213.511 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -205.523 cm BT /F22 6.6311 Tf 40.867 205.523 Td [([10])]TJ ET 1 0 0 1 53.333 205.523 cm 0 g 0 G 1 0 0 1 -53.333 -205.523 cm BT /F22 6.6311 Tf 56.82 205.523 Td [(M.P.)-250(Hassell,)-250(H.N.)-250(Comins,)-250(Discrete)-250(time)-250(models)-250(for)-250(two-species)-250(competition,)-250(Theoret.)-250(Popul.)-250(Biol.)-250(9)-250(\0501976\051)-250(202\025221.)]TJ ET 1 0 0 1 40.867 205.523 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -197.535 cm BT /F22 6.6311 Tf 40.867 197.535 Td [([11])]TJ ET 1 0 0 1 53.333 197.535 cm 0 g 0 G 1 0 0 1 -53.333 -197.535 cm BT /F22 6.6311 Tf 56.82 197.535 Td [(J.)-236(Hofbauer,)-237(V.)-236(Hutson,)-237(W.)-236(Jansen,)-237(Coexistence)-236(for)-237(systems)-236(governed)-237(by)-236(difference)-237(equations)-236(of)-237(Lotka\025Volterra)-236(type,)-237(J.)-236(Math.)-237(Biol.)-236(25)-237(\0501987\051)-236(553\025570.)]TJ ET 1 0 0 1 40.867 197.535 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -189.547 cm BT /F22 6.6311 Tf 40.867 189.547 Td [([12])]TJ ET 1 0 0 1 53.333 189.547 cm 0 g 0 G 1 0 0 1 -53.333 -189.547 cm BT /F22 6.6311 Tf 56.82 189.547 Td [(J.)-221(Huang,)-221(X.)-221(Zou,)-221(Existence)-220(of)-221(traveling)-221(wavefronts)-221(of)-221(delayed)-221(reaction)-221(diffusion)-220(systems)-221(without)-221(monotonicity,)-221(Discrete.)-221(Contin.)-221(Dyn.)-221(Syst.)-220(A)-221(9)-221(\0502003\051)]TJ ET 1 0 0 1 40.867 189.547 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -189.547 cm BT /F22 6.6311 Tf 56.82 181.577 Td [(925\025936.)]TJ ET 1 0 0 1 40.867 181.577 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -173.589 cm BT /F22 6.6311 Tf 40.867 173.589 Td [([13])]TJ ET 1 0 0 1 53.333 173.589 cm 0 g 0 G 1 0 0 1 -53.333 -173.589 cm BT /F22 6.6311 Tf 56.82 173.589 Td [(J.)-250(Huang,)-250(X.)-250(Zou,)-250(Traveling)-250(wave)-250(solutions)-250(in)-250(delayed)-250(reaction)-250(diffusion)-250(systems)-250(with)-250(partial)-250(monotonicity,)-250(Acta)-250(Math.)-250(Appl.)-250(Sin.)-250(22)-250(\0502006\051)-250(243\025256.)]TJ ET 1 0 0 1 40.867 173.589 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -165.601 cm BT /F22 6.6311 Tf 40.867 165.601 Td [([14])]TJ ET 1 0 0 1 53.333 165.601 cm 0 g 0 G 1 0 0 1 -53.333 -165.601 cm BT /F22 6.6311 Tf 56.82 165.601 Td [(W.)-214(Li,)-215(G.)-214(Lin,)-215(S.)-214(Ruan,)-215(Existence)-214(of)-215(traveling)-214(wave)-214(solutions)-215(in)-214(delayed)-215(reaction\025diffusion)-214(systems)-215(with)-214(applications)-214(to)-215(diffusion\025competition)-214(systems,)]TJ ET 1 0 0 1 40.867 165.601 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -165.601 cm BT /F22 6.6311 Tf 56.82 157.631 Td [(Nonlinearity)-250(19)-250(\0502006\051)-250(1253\0251273.)]TJ ET 1 0 0 1 40.867 157.631 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.989 cm 0 g 0 G 1 0 0 1 -40.867 -149.642 cm BT /F22 6.6311 Tf 40.867 149.642 Td [([15])]TJ ET 1 0 0 1 53.333 149.642 cm 0 g 0 G 1 0 0 1 -53.333 -149.642 cm BT /F22 6.6311 Tf 56.82 149.642 Td [(S.)-250(Ma,)-250(Traveling)-250(wavefronts)-250(for)-250(delayed)-250(reaction\025diffusion)-250(systems)-250(via)-250(a)-250(fixed)-250(point)-250(theorem,)-250(Journal)-250(of)-250(Differential)-250(Equations)-250(171)-250(\0502001\051)-250(294\025314.)]TJ ET 1 0 0 1 40.867 149.642 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -141.654 cm BT /F22 6.6311 Tf 40.867 141.654 Td [([16])]TJ ET 1 0 0 1 53.333 141.654 cm 0 g 0 G 1 0 0 1 -53.333 -141.654 cm BT /F22 6.6311 Tf 56.82 141.654 Td [(R.M.)-315(May,)-315(Ecosystem)-314(patterns)-315(in)-315(randomly)-315(fluctuating)-314(environments,)-315(in:)-315(Rosen,)-315(Snell)-315(\050Eds.\051,)-314(Progress)-315(in)-315(Theoretical)-315(Biology,)-315(Academic,)-314(New)-315(York,)]TJ ET 1 0 0 1 40.867 141.654 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -141.654 cm BT /F22 6.6311 Tf 56.82 133.684 Td [(1974.)]TJ ET 1 0 0 1 40.867 133.684 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -125.696 cm BT /F22 6.6311 Tf 40.867 125.696 Td [([17])]TJ ET 1 0 0 1 53.333 125.696 cm 0 g 0 G 1 0 0 1 -53.333 -125.696 cm BT /F22 6.6311 Tf 56.82 125.696 Td [(W.E.)-250(Ricker,)-250(Stock)-250(and)-250(recruitment,)-250(J.)-250(Fish.)-250(Res.)-250(Board)-250(Can.)-250(11)-250(\0501954\051)-250(559\025623.)]TJ ET 1 0 0 1 40.867 125.696 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -117.708 cm BT /F22 6.6311 Tf 40.867 117.708 Td [([18])]TJ ET 1 0 0 1 53.333 117.708 cm 0 g 0 G 1 0 0 1 -53.333 -117.708 cm BT /F22 6.6311 Tf 56.82 117.708 Td [(J.F.)-250(Selgrade,)-250(G.)-250(Namkoong,)-250(Stable)-250(periodic)-250(behavior)-250(in)-250(a)-250(pioneer-climax)-250(model,)-250(Nat.)-250(Resource)-250(Modeling)-250(4)-250(\0501990\051)-250(215\025227.)]TJ ET 1 0 0 1 40.867 117.708 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -109.72 cm BT /F22 6.6311 Tf 40.867 109.72 Td [([19])]TJ ET 1 0 0 1 53.333 109.72 cm 0 g 0 G 1 0 0 1 -53.333 -109.72 cm BT /F22 6.6311 Tf 56.82 109.72 Td [(J.F.)-169(Selgrade,)-168(G.)-169(Namkoong,)-169(Population)-168(interactions)-169(with)-168(growth)-169(rates)-169(dependent)-168(on)-169(weighted)-169(densities,)-168(in:)-169(S.)-169(Busenberg,)-168(M.)-169(Martelli)-169(\050Eds.\051,)-168(Differential)]TJ ET 1 0 0 1 40.867 109.72 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -109.72 cm BT /F22 6.6311 Tf 56.82 101.75 Td [(Equations)-250(Models)-250(in)-250(Biology,)-250(Epidemiology)-250(and)-250(Ecology,)-250(in:)-250(Lect.)-250(Notes)-250(Biomath.,)-250(vol.)-250(92,)-250(Springer-Verlag,)-250(Berlin,)-250(1991,)-250(pp.)-250(247\025256.)]TJ ET 1 0 0 1 40.867 101.75 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -93.762 cm BT /F22 6.6311 Tf 40.867 93.762 Td [([20])]TJ ET 1 0 0 1 53.333 93.762 cm 0 g 0 G 1 0 0 1 -53.333 -93.762 cm BT /F22 6.6311 Tf 56.82 93.762 Td [(J.F.)-250(Selgrade,)-250(Planting)-250(and)-250(harvesting)-250(for)-250(pioneer-climax)-250(models,)-250(Rocky)-250(Mountain)-250(J.)-250(Math.)-250(24)-250(\0501993\051)-250(293\025310.)]TJ ET 1 0 0 1 40.867 93.762 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -85.774 cm BT /F22 6.6311 Tf 40.867 85.774 Td [([21])]TJ ET 1 0 0 1 53.333 85.774 cm 0 g 0 G 1 0 0 1 -53.333 -85.774 cm BT /F22 6.6311 Tf 56.82 85.774 Td [(J.F.)-250(Selgrade,)-250(Planting)-250(and)-250(harvesting)-250(for)-250(pioneer-climax)-250(models,)-250(Rocky)-250(Mountain)-250(J.)-250(Math.)-250(24)-250(\0501994\051)-250(293\025310.)]TJ ET 1 0 0 1 40.867 85.774 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -77.786 cm BT /F22 6.6311 Tf 40.867 77.786 Td [([22])]TJ ET 1 0 0 1 53.333 77.786 cm 0 g 0 G 1 0 0 1 -53.333 -77.786 cm BT /F22 6.6311 Tf 56.82 77.786 Td [(J.F.)-315(Selgrade,)-315(J.H.)-315(Roberds,)-316(Lumped-density)-315(population)-315(models)-315(of)-315(pioneer-climax)-315(type)-315(and)-315(stability)-315(analysis)-316(of)-315(Hopf)-315(bifurcations,)-315(Math.)-315(Biosci.)-315(135)]TJ ET 1 0 0 1 40.867 77.786 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -77.786 cm BT /F22 6.6311 Tf 56.82 69.816 Td [(\0501996\051)-250(1\02521.)]TJ ET 1 0 0 1 40.867 69.816 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -61.828 cm BT /F22 6.6311 Tf 40.867 61.828 Td [([23])]TJ ET 1 0 0 1 53.333 61.828 cm 0 g 0 G 1 0 0 1 -53.333 -61.828 cm BT /F22 6.6311 Tf 56.82 61.828 Td [(S.)-250(Sumner,)-250(Hopf)-250(bifurcation)-250(in)-250(pioneer-climax)-250(competing)-250(species)-250(models,)-250(Math.)-250(Biosci.)-250(137)-250(\0501996\051)-250(1\02524.)]TJ ET 1 0 0 1 40.867 61.828 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -7.988 cm 0 g 0 G 1 0 0 1 -40.867 -53.84 cm BT /F22 6.6311 Tf 40.867 53.84 Td [([24])]TJ ET 1 0 0 1 53.333 53.84 cm 0 g 0 G 1 0 0 1 -53.333 -53.84 cm BT /F22 6.6311 Tf 56.82 53.84 Td [(S.)-250(Sumner,)-250(Stable)-250(periodic)-250(behavior)-250(in)-250(pioneer-climax)-250(competing)-250(species)-250(models)-250(with)-250(constant)-250(rate)-250(forcing,)-250(Nat.)-250(Resour.)-250(Model.)-250(11)-250(\0501998\051)-250(155\025171.)]TJ ET 1 0 0 1 40.867 53.84 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -13.354 cm 0 g 0 G 1 0 0 1 466.251 0 cm 0 g 0 G endstream endobj 135 0 obj << /Type /XObject /Subtype /Form /FormType 1 /PTEX.FileName (./main.pdf) /PTEX.PageNumber 12 /PTEX.InfoDict 100 0 R /Matrix [ 1 0 0 1 0 0 ] /BBox [ 0 0 544.252 742.677 ] /Resources << /Font << /F150 97 0 R /F156 48 0 R /F22 92 0 R /F76 96 0 R /F136 39 0 R /F152 60 0 R /F154 59 0 R /F123 93 0 R >> /ProcSet [ /PDF /Text ] >> /Length 46648 >> stream 1 0 0 1 37.134 702.503 cm 0 g 0 G 1 0 0 1 -37.134 -702.503 cm BT /F76 6.6311 Tf 152.872 702.503 Td [(Z.)-250(Yuan,)-250(X.)-250(Zou)-250(/)-250(Nonlinear)-250(Analysis:)-333(Real)-250(World)-250(Applications)-250(11)-250(\0502010\051)-250(232\025245)]TJ/F22 6.6311 Tf 338.995 0 Td [(243)]TJ ET 1 0 0 1 503.385 702.503 cm 0 g 0 G 1 0 0 1 -470.236 -23.91 cm 0 g 0 G 1 0 0 1 -33.149 -678.593 cm BT /F123 8.2889 Tf 37.134 678.593 Td [(Lemma)-250(11.)]TJ ET 1 0 0 1 80.667 678.593 cm 0 g 0 G 1 0 0 1 -80.667 -678.593 cm BT /F76 8.2889 Tf 84.652 678.593 Td [(If)-452(d)]TJ/F22 5.8022 Tf 13.341 -1.435 Td [(2)]TJ/F150 9.5641 Tf 6.514 1.435 Td [(\025)]TJ/F76 8.2889 Tf 9.868 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F22 8.2889 Tf 4.495 0 Td [(2)]TJ/F76 8.2889 Tf 6.872 0 Td [(and)]TJ ET 1 0 0 1 37.134 678.593 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -678.593 cm BT /F76 8.2889 Tf 61.044 657.757 Td [(c)]TJ/F150 9.5641 Tf 6.971 0 Td [(\025)]TJ/F22 8.2889 Tf 9.868 0 Td [(2)]TJ/F152 9.5641 Tf 4.799 8.607 Td [(p)]TJ ET q 1 0 0 1 90.611 666.556 cm []0 d 0 J 0.383 w 0 0 m 43.616 0 l S Q BT /F76 8.2889 Tf 90.611 657.757 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ/F76 8.2889 Tf 3.857 1.435 Td [(g)]TJ/F154 9.5641 Tf 5.003 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(/)]TJ/F22 8.2889 Tf 355.054 0 Td [(\0503.6\051)]TJ ET 1 0 0 1 37.134 657.757 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -657.757 cm BT /F76 8.2889 Tf 37.134 639.276 Td [(then)-250(functions)]TJ/F154 9.5641 Tf 54.217 0 Td [(.)]TJ ET q 1 0 0 1 94.919 647.128 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 94.919 639.276 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ ET q 1 0 0 1 116.453 647.128 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 116.453 639.276 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F76 8.2889 Tf 9.207 0 Td [(and)]TJ/F154 9.5641 Tf 15.89 0 Td [(.\036)]TJ ET q 1 0 0 1 159.921 635.891 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 165.918 639.276 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-167(\040)]TJ ET q 1 0 0 1 181.455 635.833 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 189.049 639.276 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(//)]TJ/F76 8.2889 Tf 9.207 0 Td [(defined)-250(in)]TJ ET 1 0 0 1 243.595 639.276 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -243.595 -639.276 cm BT /F76 8.2889 Tf 243.595 639.276 Td [(Lemmas)]TJ/F22 8.2889 Tf 32.103 0 Td [(9)]TJ ET 1 0 0 1 280.497 639.276 cm 0 g 0 G 1 0 0 1 -280.497 -639.276 cm BT /F156 8.2889 Tf 282.569 639.276 Td [(and)]TJ ET 1 0 0 1 298.459 639.276 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -298.459 -639.276 cm BT /F22 8.2889 Tf 298.459 639.276 Td [(10)]TJ ET 1 0 0 1 308.057 639.276 cm 0 g 0 G 1 0 0 1 -308.057 -639.276 cm BT /F76 8.2889 Tf 310.13 639.276 Td [(satisfy)]TJ/F154 9.5641 Tf 25.388 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(P1)]TJ/F154 9.5641 Tf 9.474 0 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(\025)]TJ/F154 9.5641 Tf 4.8 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(P3)]TJ/F154 9.5641 Tf 9.474 0 Td [(/)]TJ/F76 8.2889 Tf 3.568 0 Td [(.)]TJ ET 1 0 0 1 37.134 639.276 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -20.719 cm 0 g 0 G 1 0 0 1 -33.149 -618.557 cm BT /F123 8.2889 Tf 37.134 618.557 Td [(Proof.)]TJ ET 1 0 0 1 61.362 618.557 cm 0 g 0 G 1 0 0 1 -61.362 -618.557 cm BT /F22 8.2889 Tf 65.347 618.557 Td [(Obviously)]TJ ET q 1 0 0 1 105.914 624.305 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 105.914 618.557 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 7.204 0 Td [(\024)]TJ/F154 9.5641 Tf 10.847 0 Td [(\032)]TJ ET q 1 0 0 1 140.819 615.21 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 146.605 614.215 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 6.022 0 Td [(and)]TJ ET q 1 0 0 1 180.398 624.305 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 180.398 618.557 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 7.204 0 Td [(\025)]TJ/F154 9.5641 Tf 10.847 0 Td [(\032)]TJ ET q 1 0 0 1 215.303 615.21 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 221.09 614.215 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(.)-296(It)-296(follows)-297(from)]TJ ET 1 0 0 1 299.629 618.557 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -299.629 -618.557 cm BT /F22 8.2889 Tf 299.629 618.557 Td [(Lemma)-296(3)]TJ ET 1 0 0 1 335.04 618.557 cm 0 g 0 G 1 0 0 1 -335.04 -618.557 cm BT /F22 8.2889 Tf 337.494 618.557 Td [(that)]TJ/F154 9.5641 Tf 17.954 0 Td [(.)]TJ ET q 1 0 0 1 359.016 626.409 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 359.016 618.557 Td [(\036)-50(;)]TJ ET q 1 0 0 1 369.772 626.409 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 369.772 618.557 Td [(\040)-90(/)]TJ/F22 8.2889 Tf 13.616 0 Td [(and)]TJ/F154 9.5641 Tf 16.703 0 Td [(.\036)]TJ ET q 1 0 0 1 403.658 615.172 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 409.655 618.557 Td [(;)-167(\040)]TJ ET q 1 0 0 1 414.414 615.114 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 422.008 618.557 Td [(/)]TJ/F22 8.2889 Tf 6.022 0 Td [(satisfy)-296(the)-296(property)]TJ ET 1 0 0 1 37.134 618.557 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -618.557 cm BT /F22 8.2889 Tf 37.134 606.858 Td [(\050P1\051.)]TJ ET 1 0 0 1 37.134 606.858 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -606.858 cm BT /F22 8.2889 Tf 49.089 596.115 Td [(In)-305(order)-304(to)-305(complete)-304(the)-305(proof)-304(of)-305(\050P2\051)-304(and)-305(\050P3\051)-304(for)]TJ/F154 9.5641 Tf 196.294 0 Td [(.)]TJ ET q 1 0 0 1 248.951 603.967 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 248.951 596.115 Td [(\036)-50(;)]TJ ET q 1 0 0 1 259.707 603.967 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 259.707 596.115 Td [(\040)-90(/)]TJ/F22 8.2889 Tf 13.686 0 Td [(and)]TJ/F154 9.5641 Tf 16.772 0 Td [(.\036)]TJ ET q 1 0 0 1 293.733 592.729 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 299.729 596.115 Td [(;)-167(\040)]TJ ET q 1 0 0 1 304.489 592.672 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 312.083 596.115 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(,)-305(we)-304(first)-305(prove)]TJ/F154 9.5641 Tf 60.858 0 Td [(.)]TJ ET q 1 0 0 1 380.076 601.863 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 380.076 596.115 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.143 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.143 Td [(;)]TJ ET q 1 0 0 1 394.479 601.863 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 394.479 596.115 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.143 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.143 Td [(/)]TJ/F22 8.2889 Tf 6.092 0 Td [(and)]TJ/F154 9.5641 Tf 16.772 0 Td [(.\032)]TJ ET q 1 0 0 1 430.555 592.767 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 436.341 591.773 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(;)-167(\032)]TJ ET q 1 0 0 1 444.958 592.767 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 450.744 591.773 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(/)]TJ/F22 8.2889 Tf 6.092 0 Td [(satisfy)-304(\050P2\051)]TJ ET 1 0 0 1 37.134 596.115 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -596.115 cm BT /F22 8.2889 Tf 37.134 584.206 Td [(and)-250(\050P3\051.)-250(Noting)-250(that)]TJ ET q 1 0 0 1 118.621 589.954 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 118.621 584.206 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.143 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.143 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F150 9.5641 Tf 9.874 1.435 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(inf)]TJ/F76 5.8022 Tf 10.27 -1.435 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(\024)]TJ/F76 5.8022 Tf 5.048 0 Td [(t)]TJ/F154 9.5641 Tf 4.642 1.435 Td [(\032)]TJ ET q 1 0 0 1 209.681 580.858 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 215.468 579.864 Td [(1)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 5.639 0 Td [(and)-250(the)-250(above)-250(argument,)-250(we)-250(have)]TJ ET 1 0 0 1 37.134 584.206 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -584.206 cm BT /F22 8.2889 Tf 61.044 559.259 Td [(sup)]TJ/F76 5.8022 Tf 1.835 -7.487 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(\024)]TJ/F76 5.8022 Tf 5.048 0 Td [(t)]TJ/F154 9.5641 Tf 5.979 7.487 Td [(\032)]TJ ET q 1 0 0 1 76.273 555.912 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 82.06 554.917 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(\032)]TJ ET q 1 0 0 1 109.207 555.912 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 114.993 554.917 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ ET q 1 0 0 1 142.153 565.007 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 142.153 559.259 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf 16.616 0 Td [(t)]TJ/F150 9.5641 Tf 6.299 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.434 Td [(2)]TJ/F154 6.4438 Tf 7.654 6.915 Td [(1)]TJ/F150 9.5641 Tf -1.139 -5.481 Td [(D)]TJ/F22 8.2889 Tf 11.312 6.705 Td [(1)]TJ ET q 1 0 0 1 212.552 561.65 cm []0 d 0 J 0.44 w 0 0 m 4.799 0 l S Q BT /F154 9.5641 Tf 212.599 552.469 Td [(\017)]TJ/F22 8.2889 Tf 7.542 6.79 Td [(ln)]TJ/F154 9.5641 Tf 24.03 6.705 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(0)]TJ ET q 1 0 0 1 230.432 561.65 cm []0 d 0 J 0.44 w 0 0 m 36.569 0 l S Q BT /F76 8.2889 Tf 230.432 552.469 Td [(L)]TJ/F154 9.5641 Tf 3.928 0 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(0)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\017)-55(/)]TJ 9.468 6.79 Td [(;)]TJ ET 1 0 0 1 37.134 559.259 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -559.259 cm BT /F22 8.2889 Tf 37.134 535.913 Td [(and)]TJ ET 1 0 0 1 37.134 535.913 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -535.913 cm BT /F22 8.2889 Tf 61.044 518.909 Td [(sup)]TJ/F76 5.8022 Tf 1.835 -7.487 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(\024)]TJ/F76 5.8022 Tf 5.048 0 Td [(t)]TJ/F154 9.5641 Tf 5.979 7.487 Td [(\032)]TJ ET q 1 0 0 1 76.273 515.562 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 82.06 514.567 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(\032)]TJ ET q 1 0 0 1 109.207 515.562 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 114.993 514.567 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F22 5.8022 Tf 2.935 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ ET q 1 0 0 1 145.302 524.657 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 145.302 518.909 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ ET q 1 0 0 1 181.397 524.657 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 181.397 518.909 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf 16.616 0 Td [(t)]TJ/F154 9.5641 Tf 6.299 0 Td [(>)]TJ/F76 8.2889 Tf 10.117 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(;)]TJ ET 1 0 0 1 37.134 518.909 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -518.909 cm BT /F22 8.2889 Tf 37.134 495.562 Td [(which)-250(imply)-250(that)]TJ ET 1 0 0 1 37.134 495.562 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -495.562 cm BT /F22 8.2889 Tf 62.638 478.559 Td [(sup)]TJ/F76 5.8022 Tf 1.835 -7.487 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(\024)]TJ/F76 5.8022 Tf 5.048 0 Td [(t)]TJ/F154 9.5641 Tf 5.979 7.487 Td [(\032)]TJ ET q 1 0 0 1 77.867 475.212 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 83.654 474.217 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ ET q 1 0 0 1 110.552 484.307 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 110.552 478.559 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf 16.616 0 Td [(t)]TJ/F150 9.5641 Tf 6.299 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(:)]TJ/F22 8.2889 Tf 321.854 0 Td [(\0503.7\051)]TJ ET 1 0 0 1 37.134 478.559 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -478.559 cm BT /F22 8.2889 Tf 37.134 455.003 Td [(Hence,)]TJ/F154 9.5641 Tf 27.908 0 Td [(.)]TJ ET q 1 0 0 1 68.61 460.751 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 68.61 455.003 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(;)]TJ ET q 1 0 0 1 83.013 460.751 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 83.013 455.003 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(and)]TJ/F154 9.5641 Tf 16.321 0 Td [(.\032)]TJ ET q 1 0 0 1 118.185 451.656 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 123.971 450.661 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(;)-167(\032)]TJ ET q 1 0 0 1 132.589 451.656 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 138.375 450.661 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(satisfy)-250(\050P2\051.)-250(Noting)-250(that)-250(in)-250(the)-250(first)-250(quadrant)]TJ ET 1 0 0 1 318.257 455.003 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -318.257 -455.003 cm BT /F22 8.2889 Tf 318.257 455.003 Td [(\0501.5\051)]TJ ET 1 0 0 1 335.929 455.003 cm 0 g 0 G 1 0 0 1 -335.929 -455.003 cm BT /F22 8.2889 Tf 338.001 455.003 Td [(has)-250(exactly)-250(two)-250(non-trivial)-250(steady)-250(states)]TJ ET 1 0 0 1 37.134 455.003 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -455.003 cm BT /F76 8.2889 Tf 61.044 436.046 Td [(P)]TJ/F22 5.8022 Tf 4.468 -1.435 Td [(0)]TJ/F150 9.5641 Tf 6.514 1.435 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(/;)]TJ/F76 8.2889 Tf 24.905 0 Td [(P)]TJ/F22 5.8022 Tf 4.468 -1.435 Td [(1)]TJ/F150 9.5641 Tf 6.514 1.435 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.95 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.95 Td [(;)-167(v)]TJ/F150 6.6948 Tf 9.8 3.95 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.95 Td [(/:)]TJ ET 1 0 0 1 37.134 436.046 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -436.046 cm BT /F22 8.2889 Tf 37.134 419.042 Td [(Thus,)-250(there)-250(are)-250(exactly)-250(two)-250(zeros)-250(of)-250(equations)]TJ ET 1 0 0 1 37.134 419.042 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -419.042 cm BT /F76 8.2889 Tf 61.044 402.039 Td [(uf)]TJ/F154 9.5641 Tf 8.956 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(u)]TJ/F150 9.5641 Tf 6.916 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(v)-40(/)]TJ/F150 9.5641 Tf 11.265 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F154 9.5641 Tf 4.8 0 Td [(;)-1900(v)]TJ/F76 8.2889 Tf 26.377 0 Td [(g)]TJ/F154 9.5641 Tf 5.003 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(u)]TJ/F150 9.5641 Tf 6.916 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(v)-40(/)]TJ/F150 9.5641 Tf 11.264 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ ET 1 0 0 1 37.134 402.039 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -402.039 cm BT /F22 8.2889 Tf 37.134 385.035 Td [(for)]TJ/F76 8.2889 Tf 12.93 0 Td [(u)]TJ/F150 9.5641 Tf 7.448 0 Td [(2)-278(T)]TJ/F76 8.2889 Tf 11.857 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.472 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.472 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F150 9.5641 Tf 7.217 1.435 Td [(U)]TJ/F22 8.2889 Tf 5.257 0 Td [(and)]TJ/F154 9.5641 Tf 16.321 0 Td [(v)]TJ/F150 9.5641 Tf 7.697 0 Td [(2)-278(T)]TJ/F22 8.2889 Tf 11.857 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)-167(v)]TJ/F150 6.6948 Tf 9.8 3.472 Td [(\003)]TJ/F150 9.5641 Tf 3.987 -3.472 Td [(U)]TJ/F22 8.2889 Tf 5.257 0 Td [(and)-250(thus,)]TJ ET 1 0 0 1 37.134 385.035 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -385.035 cm BT /F154 9.5641 Tf 61.044 368.032 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(uf)]TJ/F154 9.5641 Tf 8.956 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(u)]TJ/F150 9.5641 Tf 6.916 0 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(v)-40(/;)-167(v)]TJ/F76 8.2889 Tf 18.407 0 Td [(g)]TJ/F154 9.5641 Tf 5.003 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(u)]TJ/F150 9.5641 Tf 6.916 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(v)-40(//)]TJ/F150 9.5641 Tf 14.831 0 Td [(6)1(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(0)]TJ/F154 9.5641 Tf 4.8 0 Td [(/;)]TJ ET 1 0 0 1 37.134 368.032 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -368.032 cm BT /F150 9.5641 Tf 61.044 354.582 Td [(8)]TJ/F76 8.2889 Tf 5.318 0 Td [(u)]TJ/F150 9.5641 Tf 7.447 0 Td [(2)-278(T)]TJ/F22 8.2889 Tf 11.858 0 Td [(sup)]TJ/F76 5.8022 Tf 1.734 -7.9 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ ET q 1 0 0 1 100.896 360.33 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 100.896 354.582 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf 8.327 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [([)]TJ/F154 9.5641 Tf 8.514 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.95 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.95 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(inf)]TJ/F76 5.8022 Tf 0.052 -6.152 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ/F154 9.5641 Tf 5.051 6.152 Td [(\032)]TJ ET q 1 0 0 1 192.265 351.235 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 198.052 350.24 Td [(1)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.568 0 Td [(U)]TJ/F22 8.2889 Tf 11.474 0 Td [(and)]TJ/F154 9.5641 Tf 22.537 0 Td [(v)]TJ/F150 9.5641 Tf 7.697 0 Td [(2)]TJ/F154 9.5641 Tf 8.672 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(inf)]TJ/F76 5.8022 Tf 0.051 -6.152 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ ET q 1 0 0 1 288.058 360.33 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 288.058 354.582 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(U)-222([)-222(T)]TJ/F22 8.2889 Tf 17.009 0 Td [(sup)]TJ/F76 5.8022 Tf 1.734 -7.9 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.212 0 Td [(R)]TJ/F154 9.5641 Tf 6.733 7.9 Td [(\032)]TJ ET q 1 0 0 1 340.717 351.235 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 346.504 350.24 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-167(v)]TJ/F150 6.6948 Tf 13.367 3.95 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.95 Td [(/:)]TJ ET 1 0 0 1 37.134 354.582 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -354.582 cm BT /F22 8.2889 Tf 37.134 331.362 Td [(Therefore,)]TJ/F154 9.5641 Tf 40.996 0 Td [(.)]TJ ET q 1 0 0 1 81.698 337.11 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 81.698 331.362 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(;)]TJ ET q 1 0 0 1 96.101 337.11 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 96.101 331.362 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(and)]TJ/F154 9.5641 Tf 16.321 0 Td [(.\032)]TJ ET q 1 0 0 1 131.273 328.015 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 137.059 327.02 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(;)-167(\032)]TJ ET q 1 0 0 1 145.677 328.015 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 151.463 327.02 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(satisfy)-250(\050P1\051\025\050P3\051)-250(as)-250(well.)]TJ ET 1 0 0 1 37.134 331.362 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -331.362 cm BT /F22 8.2889 Tf 49.089 317.229 Td [(Finally,)-230(we)-229(will)-229(prove)]TJ/F154 9.5641 Tf 83.021 0 Td [(.)]TJ ET q 1 0 0 1 135.678 325.081 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 135.678 317.229 Td [(\036)-50(;)]TJ ET q 1 0 0 1 146.434 325.081 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 146.434 317.229 Td [(\040)-90(/)]TJ/F150 9.5641 Tf 13.818 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ ET q 1 0 0 1 185.389 322.977 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 185.389 317.229 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(;)]TJ ET q 1 0 0 1 199.793 322.977 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 199.793 317.229 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(/;)]TJ/F76 8.2889 Tf 8.327 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ ET q 1 0 0 1 229.217 322.977 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 229.217 317.229 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(;)]TJ ET q 1 0 0 1 243.621 322.977 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 243.621 317.229 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(//)]TJ/F22 8.2889 Tf 9.037 0 Td [(and)]TJ/F154 9.5641 Tf 16.151 0 Td [(.\036)]TJ ET q 1 0 0 1 282.02 313.844 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 288.017 317.229 Td [(;)-167(\040)]TJ ET q 1 0 0 1 292.776 313.786 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 300.37 317.229 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\032)]TJ ET q 1 0 0 1 331.732 313.882 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 337.518 312.887 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(;)-167(\032)]TJ ET q 1 0 0 1 346.135 313.882 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 351.922 312.887 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(/;)]TJ/F76 8.2889 Tf 8.327 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\032)]TJ ET q 1 0 0 1 375.56 313.882 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 381.346 312.887 Td [(1)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(;)-167(\032)]TJ ET q 1 0 0 1 389.963 313.882 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 395.749 312.887 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(//)]TJ/F22 8.2889 Tf 9.037 0 Td [(also)-229(satisfy)-230(\050P2\051)-229(and)-230(\050P3\051.)]TJ ET 1 0 0 1 37.134 317.229 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -317.229 cm BT /F22 8.2889 Tf 37.134 305.53 Td [(Denote)]TJ ET 1 0 0 1 37.134 305.53 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -305.53 cm BT /F150 9.5641 Tf 62.45 289.032 Td [(O)]TJ/F154 9.5641 Tf -1.406 -1.913 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F154 6.4438 Tf 7.364 5.482 Td [(1)]TJ/F150 9.5641 Tf -1.14 -5.482 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(inf)]TJ/F76 5.8022 Tf 0.152 -5.738 Td [(s)]TJ/F150 6.6948 Tf 2.368 0 Td [(\024)]TJ/F76 5.8022 Tf 5.047 0 Td [(t)]TJ/F154 9.5641 Tf 4.297 5.738 Td [(\032)]TJ ET q 1 0 0 1 102.456 283.772 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 108.242 282.777 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(;)]TJ/F150 9.5641 Tf 23.542 1.913 Td [(O)]TJ/F154 9.5641 Tf -2.205 -1.913 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F154 6.4438 Tf 7.364 5.482 Td [(1)]TJ/F150 9.5641 Tf -1.139 -5.482 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(sup)]TJ/F76 5.8022 Tf 1.835 -7.486 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(\024)]TJ/F76 5.8022 Tf 5.048 0 Td [(t)]TJ/F154 9.5641 Tf 5.979 7.486 Td [(\032)]TJ ET q 1 0 0 1 226.114 283.772 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 231.901 282.777 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/:)]TJ ET 1 0 0 1 37.134 287.119 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -287.119 cm BT /F22 8.2889 Tf 37.134 261.058 Td [(Obviously,)]TJ/F150 9.5641 Tf 44.952 1.912 Td [(O)]TJ/F154 9.5641 Tf -2.204 -1.912 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 6.263 0 Td [(is)-325(nondecreasing)-325(in)]TJ/F76 8.2889 Tf 77.538 0 Td [(t)]TJ/F150 9.5641 Tf 7.898 0 Td [(2)]TJ/F76 8.2889 Tf 10.271 0 Td [(R)]TJ/F22 8.2889 Tf 4.865 0 Td [(.)-326(Since)]TJ/F154 9.5641 Tf 27.543 0 Td [(.)]TJ ET q 1 0 0 1 232.631 266.806 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 232.631 261.058 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.143 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.143 Td [(;)]TJ ET q 1 0 0 1 247.035 266.806 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 247.035 261.058 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.143 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.143 Td [(/)]TJ/F22 8.2889 Tf 6.262 0 Td [(and)]TJ/F154 9.5641 Tf 16.944 0 Td [(.\032)]TJ ET q 1 0 0 1 283.453 257.71 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 289.239 256.716 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(;)-167(\032)]TJ ET q 1 0 0 1 297.856 257.71 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 303.643 256.716 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(/)]TJ/F22 8.2889 Tf 6.263 0 Td [(satisfy)-325(\050P1\051,)-325(it)-326(follows)-325(from)]TJ ET 1 0 0 1 421.402 261.058 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -421.402 -261.058 cm BT /F22 8.2889 Tf 421.402 261.058 Td [(Lemmas)-325(3)]TJ ET 1 0 0 1 460.751 261.058 cm 0 g 0 G 1 0 0 1 -460.751 -261.058 cm BT /F22 8.2889 Tf 463.447 261.058 Td [(and)]TJ ET 1 0 0 1 480.391 261.058 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -480.391 -261.058 cm BT /F22 8.2889 Tf 480.391 261.058 Td [(4)]TJ ET 1 0 0 1 485.19 261.058 cm 0 g 0 G 1 0 0 1 -485.19 -261.058 cm BT /F22 8.2889 Tf 487.885 261.058 Td [(that)]TJ ET 1 0 0 1 37.134 261.058 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -261.058 cm BT /F76 8.2889 Tf 37.134 246.643 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F150 9.5641 Tf 4.973 1.913 Td [(O)]TJ/F154 9.5641 Tf -1.406 -1.913 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F150 9.5641 Tf 10.532 1.913 Td [(O)]TJ/F154 9.5641 Tf -2.205 -1.913 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F22 8.2889 Tf 9.317 0 Td [(is)-263(nonincreasing)-264(and)]TJ/F76 8.2889 Tf 80.956 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F150 9.5641 Tf 4.974 1.913 Td [(O)]TJ/F154 9.5641 Tf -1.406 -1.913 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F150 9.5641 Tf 10.531 1.913 Td [(O)]TJ/F154 9.5641 Tf -2.204 -1.913 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F22 8.2889 Tf 9.317 0 Td [(is)-263(nondecreasing)-264(in)]TJ/F76 8.2889 Tf 76 0 Td [(t)]TJ/F150 9.5641 Tf 6.583 0 Td [(2)]TJ/F76 8.2889 Tf 8.955 0 Td [(R)]TJ/F22 8.2889 Tf 4.865 0 Td [(.)-263(In)-264(view)-263(of)]TJ/F150 9.5641 Tf 45.597 1.913 Td [(O)]TJ/F154 9.5641 Tf -1.406 -1.913 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.507 0 Td [(\025)]TJ ET q 1 0 0 1 402.766 252.391 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 402.766 246.643 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F22 8.2889 Tf 5.75 0 Td [(and)]TJ/F150 9.5641 Tf 18.636 1.913 Td [(O)]TJ/F154 9.5641 Tf -2.205 -1.913 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.506 0 Td [(\024)]TJ ET q 1 0 0 1 473.263 252.391 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 473.263 246.643 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(,)-263(it)]TJ ET 1 0 0 1 37.134 246.643 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -246.643 cm BT /F22 8.2889 Tf 37.134 236.182 Td [(is)-250(easy)-250(to)-250(see)-250(from)]TJ ET 1 0 0 1 109.321 236.182 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -109.321 -236.182 cm BT /F22 8.2889 Tf 109.321 236.182 Td [(\0503.7\051)]TJ ET 1 0 0 1 126.993 236.182 cm 0 g 0 G 1 0 0 1 -126.993 -236.182 cm BT /F22 8.2889 Tf 129.065 236.182 Td [(that)]TJ ET 1 0 0 1 37.134 236.182 cm 0 g 0 G 0 g 0 G q 1 0 0 1 23.91 -10.511 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q 1 0 0 1 -37.134 -236.182 cm BT /F154 9.5641 Tf 61.044 217.819 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ ET q 1 0 0 1 102.045 223.567 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 102.045 217.819 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.143 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.143 Td [(;)]TJ ET q 1 0 0 1 116.449 223.567 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 116.449 217.819 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.143 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.143 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F150 9.5641 Tf 6.225 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F150 9.5641 Tf 4.974 1.913 Td [(O)]TJ/F154 9.5641 Tf -1.406 -1.913 Td [(\036)-50(;)]TJ/F150 9.5641 Tf 12.961 1.913 Td [(O)]TJ/F154 9.5641 Tf -2.205 -1.913 Td [(\040)-90(/.)]TJ/F76 8.2889 Tf 14.729 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(inf)]TJ/F76 5.8022 Tf 0.152 -5.739 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(\024)]TJ/F76 5.8022 Tf 5.048 0 Td [(t)]TJ/F76 8.2889 Tf 4.297 5.739 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F150 9.5641 Tf 4.974 1.913 Td [(O)]TJ/F154 9.5641 Tf -1.406 -1.913 Td [(\036)-50(;)]TJ/F150 9.5641 Tf 12.961 1.913 Td [(O)]TJ/F154 9.5641 Tf -2.205 -1.913 Td [(\040)-90(/.)]TJ/F76 8.2889 Tf 14.729 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F22 8.2889 Tf 9.868 0 Td [(inf)]TJ/F76 5.8022 Tf 0.152 -5.739 Td [(s)]TJ/F150 6.6948 Tf 2.368 0 Td [(\024)]TJ/F76 5.8022 Tf 5.047 0 Td [(t)]TJ/F76 8.2889 Tf 4.297 5.739 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\032)]TJ ET q 1 0 0 1 301.478 214.471 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 307.264 213.477 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(;)-167(\032)]TJ ET q 1 0 0 1 315.882 214.471 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 321.668 213.477 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(inf)]TJ/F76 5.8022 Tf 0.152 -5.739 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(\024)]TJ/F76 5.8022 Tf 5.048 0 Td [(t)]TJ/F154 9.5641 Tf 4.297 5.739 Td [(\036)]TJ ET q 1 0 0 1 364.247 214.433 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 370.243 217.819 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/;)]TJ ET 1 0 0 1 37.134 217.819 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -217.819 cm BT /F22 8.2889 Tf 61.044 197.059 Td [(sup)]TJ/F76 5.8022 Tf 1.835 -7.487 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(\024)]TJ/F76 5.8022 Tf 5.048 0 Td [(t)]TJ/F154 9.5641 Tf 5.979 7.487 Td [(\040)]TJ ET q 1 0 0 1 76.273 193.616 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 83.867 197.059 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/)]TJ/F150 9.5641 Tf 6.225 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(sup)]TJ/F76 5.8022 Tf 1.835 -7.487 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(\024)]TJ/F76 5.8022 Tf 5.048 0 Td [(t)]TJ/F76 8.2889 Tf 5.979 7.487 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\032)]TJ ET q 1 0 0 1 133.84 193.712 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 139.626 192.717 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(;)-167(\032)]TJ ET q 1 0 0 1 148.243 193.712 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 154.03 192.717 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F22 8.2889 Tf 9.868 0 Td [(sup)]TJ/F76 5.8022 Tf 1.835 -7.487 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(\024)]TJ/F76 5.8022 Tf 5.048 0 Td [(t)]TJ/F76 8.2889 Tf 5.979 7.487 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F150 9.5641 Tf 4.973 1.913 Td [(O)]TJ/F154 9.5641 Tf -1.406 -1.913 Td [(\036)-50(;)]TJ/F150 9.5641 Tf 12.961 1.913 Td [(O)]TJ/F154 9.5641 Tf -2.204 -1.913 Td [(\040)-90(/.)]TJ/F76 8.2889 Tf 14.728 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F150 9.5641 Tf 4.973 1.913 Td [(O)]TJ/F154 9.5641 Tf -1.406 -1.913 Td [(\036)-50(;)]TJ/F150 9.5641 Tf 12.961 1.913 Td [(O)]TJ/F154 9.5641 Tf -2.204 -1.913 Td [(\040)-90(/.)]TJ/F76 8.2889 Tf 14.728 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ ET q 1 0 0 1 324.513 202.807 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 324.513 197.059 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(;)]TJ ET q 1 0 0 1 338.916 202.807 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 338.916 197.059 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ ET q 1 0 0 1 375.679 204.911 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 375.679 197.059 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ ET 1 0 0 1 37.134 197.059 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -197.059 cm BT /F22 8.2889 Tf 37.134 171.562 Td [(implying)-250(that)]TJ/F154 9.5641 Tf 53.794 0 Td [(.)]TJ ET q 1 0 0 1 94.496 179.414 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 94.496 171.562 Td [(\036)-50(;)]TJ ET q 1 0 0 1 105.252 179.414 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 105.252 171.562 Td [(\040)-90(/)]TJ/F22 8.2889 Tf 13.234 0 Td [(and)]TJ/F154 9.5641 Tf 16.321 0 Td [(.\036)]TJ ET q 1 0 0 1 138.374 168.176 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 144.371 171.562 Td [(;)-167(\040)]TJ ET q 1 0 0 1 149.13 168.119 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 156.724 171.562 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(also)-250(satisfy)-250(\050P2\051.)]TJ ET 1 0 0 1 37.134 171.562 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -171.562 cm BT /F22 8.2889 Tf 49.089 159.819 Td [(On)-250(the)-250(other)-250(hand,)-250(from)-250(the)-250(proof)-250(of)]TJ ET 1 0 0 1 189.875 159.819 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -189.875 -159.819 cm BT /F22 8.2889 Tf 189.875 159.819 Td [(Lemmas)-250(8)]TJ ET 1 0 0 1 228.601 159.819 cm 0 g 0 G 1 0 0 1 -228.601 -159.819 cm BT /F22 8.2889 Tf 230.673 159.819 Td [(and)]TJ ET 1 0 0 1 246.993 159.819 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -246.993 -159.819 cm BT /F22 8.2889 Tf 246.993 159.819 Td [(9)]TJ ET 1 0 0 1 251.793 159.819 cm 0 g 0 G 1 0 0 1 -251.793 -159.819 cm BT /F22 8.2889 Tf 251.793 159.819 Td [(,)-250(we)-250(have)]TJ ET 1 0 0 1 37.134 159.819 cm 0 g 0 G 0 g 0 G q 1 0 0 1 23.91 -11.94 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q 1 0 0 1 -37.134 -159.819 cm BT /F154 9.5641 Tf 61.044 140.027 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\025)]TJ ET q 1 0 0 1 90.343 145.775 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 90.343 140.027 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/;)]TJ ET q 1 0 0 1 132.102 147.879 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 132.102 140.027 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ ET q 1 0 0 1 162.999 145.775 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 162.999 140.027 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-1900(\036)]TJ ET q 1 0 0 1 204.758 136.641 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 210.754 140.027 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\032)]TJ ET q 1 0 0 1 234.057 136.68 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 239.843 135.685 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-1900(\040)]TJ ET q 1 0 0 1 275.816 136.584 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 283.41 140.027 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\025)]TJ/F154 9.5641 Tf 9.868 0 Td [(\032)]TJ ET q 1 0 0 1 306.712 136.68 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 312.498 135.685 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf 16.616 0 Td [(t)]TJ/F150 9.5641 Tf 6.3 0 Td [(2)]TJ/F76 8.2889 Tf 8.672 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(;)]TJ/F22 8.2889 Tf 125.694 0 Td [(\0503.8\051)]TJ ET 1 0 0 1 37.134 140.027 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -140.027 cm BT /F22 8.2889 Tf 37.134 119.634 Td [(which,)-206(together)-206(with)-206(the)-206(fact)]TJ/F154 9.5641 Tf 110.93 0 Td [(.)]TJ ET q 1 0 0 1 151.631 125.382 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 151.631 119.634 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(;)]TJ ET q 1 0 0 1 166.035 125.382 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 166.035 119.634 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(/)]TJ/F22 8.2889 Tf 5.275 0 Td [(and)]TJ/F154 9.5641 Tf 15.956 0 Td [(.\032)]TJ ET q 1 0 0 1 200.477 116.287 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 206.263 115.292 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(;)-167(\032)]TJ ET q 1 0 0 1 214.881 116.287 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 220.667 115.292 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(/)]TJ/F22 8.2889 Tf 5.275 0 Td [(satisfy)-206(\050P3\051,)-206(implies)-206(that)]TJ/F154 9.5641 Tf 92.587 0 Td [(.)]TJ ET q 1 0 0 1 325.953 127.486 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 325.953 119.634 Td [(\036)-50(;)]TJ ET q 1 0 0 1 336.71 127.486 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 336.71 119.634 Td [(\040)-90(/)]TJ/F22 8.2889 Tf 12.869 0 Td [(and)]TJ/F154 9.5641 Tf 15.956 0 Td [(.\036)]TJ ET q 1 0 0 1 369.102 116.248 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 375.099 119.634 Td [(;)-167(\040)]TJ ET q 1 0 0 1 379.858 116.191 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 387.452 119.634 Td [(/)]TJ/F22 8.2889 Tf 5.275 0 Td [(satisfy)-206(the)-206(property)-206(\050P3\051.)-206(This)]TJ ET 1 0 0 1 37.134 119.634 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -119.634 cm BT /F22 8.2889 Tf 37.134 107.935 Td [(completes)-250(the)-250(proof.)]TJ/F136 7.9701 Tf 90.812 0 Td [(\003)]TJ ET 1 0 0 1 37.134 107.935 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -17.569 cm 0 g 0 G 1 0 0 1 -33.149 -90.366 cm BT /F123 8.2889 Tf 37.134 90.366 Td [(Proof)-250(of)-250(Theorem)-250(1.)]TJ ET 1 0 0 1 116.533 90.366 cm 0 g 0 G 1 0 0 1 -116.533 -90.366 cm BT /F22 8.2889 Tf 120.518 90.366 Td [(Combining)-243(the)-243(results)-243(in)-242(Section)]TJ ET 1 0 0 1 245.948 90.366 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -245.948 -90.366 cm BT /F22 8.2889 Tf 245.948 90.366 Td [(2)]TJ ET 1 0 0 1 250.747 90.366 cm 0 g 0 G 1 0 0 1 -250.747 -90.366 cm BT /F22 8.2889 Tf 252.76 90.366 Td [(with)]TJ ET 1 0 0 1 272.495 90.366 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -272.495 -90.366 cm BT /F22 8.2889 Tf 272.495 90.366 Td [(Lemmas)-243(9\02511)]TJ ET 1 0 0 1 325.559 90.366 cm 0 g 0 G 1 0 0 1 -325.559 -90.366 cm BT /F22 8.2889 Tf 325.559 90.366 Td [(,)-243(we)-243(have)-243(proved)-242(part)-243(\050i\051)-243(of)]TJ ET 1 0 0 1 429.891 90.366 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -429.891 -90.366 cm BT /F22 8.2889 Tf 429.891 90.366 Td [(Theorem)-243(1)]TJ ET 1 0 0 1 470.854 90.366 cm 0 g 0 G 1 0 0 1 -470.854 -90.366 cm BT /F22 8.2889 Tf 470.854 90.366 Td [(.)-243(Part)-243(\050ii\051)]TJ ET 1 0 0 1 37.134 90.366 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -90.366 cm BT /F22 8.2889 Tf 37.134 79.905 Td [(can)-261(be)-261(proved)-261(in)-262(a)-261(similar)-261(way)-261(to)-261(that)-261(in)-262([)]TJ ET 1 0 0 1 196.144 79.905 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -196.144 -79.905 cm BT /F22 8.2889 Tf 196.144 79.905 Td [(25)]TJ ET 1 0 0 1 205.743 79.905 cm 0 g 0 G 1 0 0 1 -205.743 -79.905 cm BT /F22 8.2889 Tf 205.743 79.905 Td [(],)-261(by)-261(showing)-261(that)]TJ/F76 8.2889 Tf 70.974 0 Td [(c)]TJ/F150 9.5641 Tf 7.209 0 Td [(\025)]TJ/F22 8.2889 Tf 10.105 0 Td [(2)]TJ/F150 9.5641 Tf 4.799 7.152 Td [(p)]TJ ET q 1 0 0 1 306.921 87.282 cm []0 d 0 J 0.45 w 0 0 m 43.616 0 l S Q BT /F76 8.2889 Tf 306.921 79.905 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F76 8.2889 Tf 3.858 1.434 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(/)]TJ/F22 8.2889 Tf 5.733 0 Td [(is)-261(actually)-261(a)-261(necessary)-262(condition)-261(for)-261(the)]TJ ET 1 0 0 1 37.134 79.905 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -79.905 cm BT /F22 8.2889 Tf 37.134 69.444 Td [(wave)-250(speed)]TJ/F76 8.2889 Tf 46.716 0 Td [(c)]TJ/F22 8.2889 Tf 4.314 0 Td [(.)-250(Indeed,)-250(if)-250(we)-250(linearize)-250(the)-250(second)-250(equation)-250(in)]TJ ET 1 0 0 1 267.087 69.444 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -267.087 -69.444 cm BT /F22 8.2889 Tf 267.087 69.444 Td [(\0502.1\051)]TJ ET 1 0 0 1 284.759 69.444 cm 0 g 0 G 1 0 0 1 -284.759 -69.444 cm BT /F22 8.2889 Tf 286.831 69.444 Td [(at)]TJ/F154 9.5641 Tf 9.458 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(,)-250(we)-250(obtain)]TJ ET 1 0 0 1 37.134 69.444 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -69.444 cm BT /F76 8.2889 Tf 61.044 52.441 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(\040)]TJ/F150 6.6948 Tf 7.594 3.95 Td [(00)]TJ/F154 9.5641 Tf 4.114 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\040)]TJ/F150 6.6948 Tf 7.594 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\040)]TJ/F76 8.2889 Tf 7.594 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ ET 1 0 0 1 37.134 52.441 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -11.955 cm 0 g 0 G 1 0 0 1 466.251 0 cm 0 g 0 G endstream endobj 136 0 obj << /Type /XObject /Subtype /Form /FormType 1 /PTEX.FileName (./main.pdf) /PTEX.PageNumber 11 /PTEX.InfoDict 100 0 R /Matrix [ 1 0 0 1 0 0 ] /BBox [ 0 0 544.252 742.677 ] /Resources << /Font << /F150 97 0 R /F76 96 0 R /F136 39 0 R /F152 60 0 R /F154 59 0 R /F22 92 0 R >> /ProcSet [ /PDF /Text ] >> /Length 50058 >> stream 1 0 0 1 40.867 702.503 cm 0 g 0 G 1 0 0 1 -40.867 -702.503 cm BT /F22 6.6311 Tf 40.867 702.503 Td [(242)]TJ/F76 6.6311 Tf 115.738 0 Td [(Z.)-250(Yuan,)-250(X.)-250(Zou)-250(/)-250(Nonlinear)-250(Analysis:)-333(Real)-250(World)-250(Applications)-250(11)-250(\0502010\051)-250(232\025245)]TJ ET 1 0 0 1 507.118 702.503 cm 0 g 0 G 1 0 0 1 -507.118 -702.503 cm BT /F22 8.2889 Tf 40.867 680.585 Td [(Let)]TJ/F76 8.2889 Tf 13.66 0 Td [(L)]TJ/F154 9.5641 Tf 6.585 0 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(1)-250(be)-250(sufficiently)-250(large)-250(so)-250(that)]TJ ET 1 0 0 1 40.867 680.585 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -680.585 cm BT /F150 9.5641 Tf 66.902 660.942 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(L)]TJ/F150 9.5641 Tf 3.928 0 Td [(T)]TJ/F76 8.2889 Tf 3.185 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.434 Td [(0)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\017)-55(/)]TJ/F22 5.8022 Tf 8.273 3.95 Td [(2)]TJ/F150 9.5641 Tf 5.983 -3.95 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.434 Td [(0)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\017)-55(/)]TJ/F150 9.5641 Tf 10.399 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(U)-222(\000)]TJ/F76 8.2889 Tf 14.896 0 Td [(mc)]TJ/F22 5.8022 Tf 10.891 -1.434 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.434 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(22)]TJ/F150 9.5641 Tf 9.874 1.434 Td [(\025)]TJ/F22 8.2889 Tf 9.868 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 204.08 0 Td [(\0503.5\051)]TJ ET 1 0 0 1 40.867 660.942 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -660.942 cm BT /F22 8.2889 Tf 40.867 643.979 Td [(where)]TJ ET 1 0 0 1 40.867 643.979 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -643.979 cm BT /F76 8.2889 Tf 64.777 627.015 Td [(m)]TJ/F150 9.5641 Tf 9.818 0 Td [(D)-278(\000)]TJ/F22 8.2889 Tf 46.746 0 Td [(min)]TJ/F76 5.8022 Tf -27.575 -6.315 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(2T)]TJ/F76 5.8022 Tf 6.44 0 Td [(z)]TJ/F22 4.9734 Tf 2.6 -1.353 Td [(0)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(=)]TJ/F76 5.8022 Tf 3.146 0 Td [(c)]TJ/F22 4.9734 Tf 2.611 -1.353 Td [(11)]TJ/F154 6.6948 Tf 6.257 1.353 Td [(;)]TJ/F76 5.8022 Tf 2.216 0 Td [(z)]TJ/F22 4.9734 Tf 2.6 -1.353 Td [(0)]TJ/F154 6.6948 Tf 3.377 1.353 Td [(=)]TJ/F76 5.8022 Tf 3.147 0 Td [(c)]TJ/F22 4.9734 Tf 2.611 -1.353 Td [(11)]TJ/F150 6.6948 Tf 6.257 1.353 Td [(C)]TJ/F76 5.8022 Tf 5.222 0 Td [(c)]TJ/F22 4.9734 Tf 2.611 -1.353 Td [(22)]TJ/F154 6.6948 Tf 6.257 1.353 Td [(v)]TJ/F150 5.7385 Tf 3.529 1.935 Td [(\003)]TJ/F150 6.6948 Tf 3.487 -1.935 Td [(U)]TJ/F76 8.2889 Tf 3.824 6.315 Td [(g)]TJ/F150 6.6948 Tf 5.002 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)-278(>)]TJ/F22 8.2889 Tf 16.341 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(:)]TJ ET 1 0 0 1 40.867 627.015 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -627.015 cm BT /F22 8.2889 Tf 40.867 604.379 Td [(By)-250(simple)-250(calculation,)-250(we)-250(know)-250(that)]TJ ET 1 0 0 1 40.867 604.379 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -604.379 cm BT /F22 8.2889 Tf 64.777 576.175 Td [(max)]TJ/F76 5.8022 Tf 3.205 -6.227 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ/F150 9.5641 Tf 6.612 6.227 Td [(f)]TJ/F154 9.5641 Tf 3.538 0 Td [(\032)]TJ ET q 1 0 0 1 84.893 572.827 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 90.68 571.832 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.343 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F150 9.5641 Tf 3.568 0 Td [(g)-278(D)]TJ/F76 8.2889 Tf 22.434 6.704 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\017)]TJ ET q 1 0 0 1 122.822 578.566 cm []0 d 0 J 0.44 w 0 0 m 25.505 0 l S Q BT /F154 9.5641 Tf 122.822 569.384 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(0)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\017)]TJ/F152 9.5641 Tf 7.495 20.219 Td [(\022)]TJ/F154 9.5641 Tf 21.392 -6.724 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(0)]TJ ET q 1 0 0 1 158.769 578.566 cm []0 d 0 J 0.44 w 0 0 m 36.569 0 l S Q BT /F76 8.2889 Tf 158.769 569.384 Td [(L)]TJ/F154 9.5641 Tf 3.928 0 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(0)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\017)-55(/)]TJ/F152 9.5641 Tf 9.468 20.219 Td [(\023)]TJ/F154 5.7385 Tf 7.651 1.741 Td [(\025)]TJ/F22 4.9734 Tf 3.139 -1.705 Td [(0)]TJ ET q 1 0 0 1 204.184 589.132 cm []0 d 0 J 0.308 w 0 0 m 6.517 0 l S Q BT /F154 5.7385 Tf 206.031 585.082 Td [(\017)]TJ/F150 9.5641 Tf 9.02 -8.907 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(v)]TJ/F150 6.6948 Tf 5.041 3.95 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.95 Td [(;)]TJ ET 1 0 0 1 40.867 576.175 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -576.175 cm BT /F22 8.2889 Tf 40.867 553.019 Td [(for)]TJ/F76 8.2889 Tf 12.93 0 Td [(L)]TJ/F22 8.2889 Tf 6.001 0 Td [(sufficiently)-250(large.)-250(Thus)]TJ/F154 9.5641 Tf 88.152 0 Td [(.\032)]TJ ET q 1 0 0 1 151.517 549.671 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 157.304 548.677 Td [(1)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(;)-167(\032)]TJ ET q 1 0 0 1 165.921 549.671 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 171.707 548.677 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(2)]TJ/F76 8.2889 Tf 8.672 0 Td [(D)]TJ/F22 8.2889 Tf 7.825 0 Td [(if)]TJ/F76 8.2889 Tf 7.319 0 Td [(L)]TJ/F22 8.2889 Tf 6.001 0 Td [(is)-250(sufficiently)-250(large.)]TJ ET 1 0 0 1 40.867 553.019 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -553.019 cm BT /F22 8.2889 Tf 52.822 539.101 Td [(Let)]TJ/F76 8.2889 Tf 13.66 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(1)]TJ/F150 9.5641 Tf 6.514 1.435 Td [(D)]TJ/F22 5.8022 Tf 11.312 3.864 Td [(1)]TJ ET q 1 0 0 1 87.242 541.492 cm []0 d 0 J 0.44 w 0 0 m 3.359 0 l S Q BT /F154 6.6948 Tf 87.275 535.706 Td [(\017)]TJ/F22 8.2889 Tf 6.116 3.395 Td [(ln)]TJ/F22 5.8022 Tf 10.291 3.864 Td [(1)]TJ ET q 1 0 0 1 103.682 541.492 cm []0 d 0 J 0.44 w 0 0 m 3.359 0 l S Q BT /F76 5.8022 Tf 103.987 535.706 Td [(L)]TJ/F22 8.2889 Tf 4.25 3.395 Td [(.)-250(Then,)-250(for)]TJ/F76 8.2889 Tf 39.994 0 Td [(t)]TJ/F154 9.5641 Tf 6.3 0 Td [(<)]TJ/F76 8.2889 Tf 10.116 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(1)]TJ/F22 8.2889 Tf 3.858 1.435 Td [(,)]TJ ET 1 0 0 1 40.867 539.101 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -539.101 cm BT /F154 9.5641 Tf 64.777 519.751 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F150 9.5641 Tf 6.925 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(L)]TJ/F22 8.2889 Tf 3.929 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\017)]TJ/F76 5.8022 Tf 3.294 0 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(g)]TJ/F154 9.5641 Tf 5.003 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F150 9.5641 Tf 9.343 1.435 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F150 9.5641 Tf 6.925 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(L)]TJ/F22 8.2889 Tf 3.929 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\017)]TJ/F76 5.8022 Tf 3.294 0 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(e)]TJ/F154 6.6948 Tf 4.359 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.663 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.377 1.353 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(/)]TJ/F150 9.5641 Tf 7.055 0 Td [(D)]TJ/F154 9.5641 Tf 10.947 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F150 9.5641 Tf 6.925 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(L)]TJ/F22 8.2889 Tf 3.929 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\017)]TJ/F76 5.8022 Tf 3.294 0 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(fT)]TJ/F76 8.2889 Tf 6.724 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.496 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F150 9.5641 Tf 9.342 1.435 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(1)]TJ/F150 9.5641 Tf 6.924 0 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(L)]TJ/F22 8.2889 Tf 3.929 0 Td [(e)]TJ/F154 6.6948 Tf 4.359 3.95 Td [(\017)]TJ/F76 5.8022 Tf 3.294 0 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(U)-222(C)]TJ/F76 8.2889 Tf 14.896 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(/)]TJ/F150 9.5641 Tf 3.568 0 Td [(g)]TJ ET 1 0 0 1 40.867 519.751 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -519.751 cm BT /F150 9.5641 Tf 228.018 506.301 Td [(\025)]TJ/F154 9.5641 Tf 10.947 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F150 9.5641 Tf 6.925 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(L)]TJ/F22 8.2889 Tf 3.929 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\017)]TJ/F76 5.8022 Tf 3.294 0 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(T\000)]TJ/F76 8.2889 Tf 10.645 0 Td [(mc)]TJ/F22 5.8022 Tf 10.892 -1.434 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.434 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F150 9.5641 Tf 6.925 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(L)]TJ/F22 8.2889 Tf 3.929 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\017)]TJ/F76 5.8022 Tf 3.294 0 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F150 9.5641 Tf 5.174 -3.95 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(U)]TJ ET 1 0 0 1 40.867 506.301 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -506.301 cm BT /F150 9.5641 Tf 228.018 492.852 Td [(\025)]TJ/F76 8.2889 Tf 10.947 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(Lg)]TJ/F154 9.5641 Tf 8.932 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\017)]TJ/F76 5.8022 Tf 3.293 0 Td [(t)]TJ/F150 9.5641 Tf 5.174 -3.95 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(mc)]TJ/F22 5.8022 Tf 10.892 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F22 8.2889 Tf 7.217 1.435 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(:)]TJ ET 1 0 0 1 40.867 492.852 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -492.852 cm BT /F22 8.2889 Tf 40.867 475.888 Td [(Hence,)-250(for)]TJ/F76 8.2889 Tf 40.839 0 Td [(t)]TJ/F154 9.5641 Tf 6.299 0 Td [(<)]TJ/F76 8.2889 Tf 10.117 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(1)]TJ/F22 8.2889 Tf 3.858 1.435 Td [(,)]TJ ET 1 0 0 1 40.867 475.888 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -475.888 cm BT /F76 8.2889 Tf 64.777 458.924 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\032)]TJ ET q 1 0 0 1 73.243 455.576 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F150 6.6948 Tf 79.029 462.874 Td [(00)]TJ/F22 5.8022 Tf 0 -8.292 Td [(2)]TJ/F154 9.5641 Tf 4.114 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\032)]TJ ET q 1 0 0 1 109.945 455.576 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F150 6.6948 Tf 115.732 462.874 Td [(0)]TJ/F22 5.8022 Tf 0 -8.292 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\032)]TJ ET q 1 0 0 1 142.078 455.576 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 147.864 454.582 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(g)]TJ/F154 9.5641 Tf 5.003 0 Td [(.\032)]TJ ET q 1 0 0 1 171.069 455.576 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 176.855 454.582 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\032)]TJ ET q 1 0 0 1 214.148 455.576 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 219.934 454.582 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.792 0 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(\025)]TJ/F22 5.8022 Tf 5.232 3.95 Td [(2)]TJ 0 -6.523 Td [(0)]TJ/F150 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F150 9.5641 Tf 5.173 -3.95 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(Lc)]TJ/F22 5.8022 Tf 7.659 -1.435 Td [(11)]TJ/F150 9.5641 Tf 7.217 1.435 Td [(T)]TJ/F76 8.2889 Tf 3.185 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(0)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\017)-55(/)]TJ/F22 5.8022 Tf 8.273 3.95 Td [(2)]TJ/F150 9.5641 Tf 5.983 -3.95 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(0)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\017)-55(/)]TJ/F150 9.5641 Tf 8.273 0 Td [(U)]TJ/F22 8.2889 Tf 3.185 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(.\025)]TJ/F22 4.9734 Tf 6.159 -1.353 Td [(0)]TJ/F150 6.6948 Tf 3.378 1.353 Td [(C)]TJ/F154 6.6948 Tf 5.222 0 Td [(\017)-55(/)]TJ/F76 5.8022 Tf 5.791 0 Td [(t)]TJ ET 1 0 0 1 40.867 458.924 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -458.924 cm BT /F150 9.5641 Tf 81.355 442.228 Td [(C)]TJ/F76 8.2889 Tf 9.054 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F150 9.5641 Tf 6.925 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(L)]TJ/F22 8.2889 Tf 3.929 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\017)]TJ/F76 5.8022 Tf 3.294 0 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F76 8.2889 Tf 3.048 -3.95 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F150 9.5641 Tf 9.342 1.435 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F150 9.5641 Tf 6.925 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(L)]TJ/F22 8.2889 Tf 3.929 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\017)]TJ/F76 5.8022 Tf 3.294 0 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(/)]TJ ET 1 0 0 1 40.867 442.228 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -442.228 cm BT /F150 9.5641 Tf 73.066 427.762 Td [(\025)]TJ/F76 8.2889 Tf 9.868 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F150 9.5641 Tf 7.217 1.435 Td [(T)]TJ/F76 8.2889 Tf 3.185 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\025)]TJ/F22 5.8022 Tf 5.231 3.95 Td [(2)]TJ 0 -6.523 Td [(0)]TJ/F150 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(0)]TJ/F150 9.5641 Tf 5.982 1.435 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.496 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(U)]TJ/F22 8.2889 Tf 3.185 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F150 9.5641 Tf 5.173 -3.95 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F150 9.5641 Tf 7.217 1.435 Td [(f)]TJ/F76 8.2889 Tf 3.539 0 Td [(L)]TJ/F150 9.5641 Tf 3.929 0 Td [(T)]TJ/F76 8.2889 Tf 3.185 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(0)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\017)-55(/)]TJ/F22 5.8022 Tf 8.273 3.95 Td [(2)]TJ/F150 9.5641 Tf 5.983 -3.95 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.315 0 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(0)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\017)-55(/)]TJ/F150 9.5641 Tf 10.398 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(/)]TJ/F150 9.5641 Tf 3.568 0 Td [(U)-222(C)]TJ/F76 8.2889 Tf 14.895 0 Td [(mc)]TJ/F22 5.8022 Tf 10.892 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F22 8.2889 Tf 7.217 1.435 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(.\025)]TJ/F22 4.9734 Tf 6.159 -1.353 Td [(0)]TJ/F150 6.6948 Tf 3.378 1.353 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\017)-55(/)]TJ/F76 5.8022 Tf 5.791 0 Td [(t)]TJ/F150 9.5641 Tf 3.048 -3.95 Td [(g)]TJ/F22 8.2889 Tf 3.539 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(.\025)]TJ/F22 4.9734 Tf 6.159 -1.353 Td [(0)]TJ/F150 6.6948 Tf 3.378 1.353 Td [(C)]TJ/F154 6.6948 Tf 5.222 0 Td [(\017)-55(/)]TJ/F76 5.8022 Tf 5.791 0 Td [(t)]TJ ET 1 0 0 1 40.867 427.762 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -427.762 cm BT /F150 9.5641 Tf 73.066 412.602 Td [(\025)-278(\000)]TJ/F76 8.2889 Tf 17.328 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F150 9.5641 Tf 7.217 1.434 Td [(f)]TJ/F76 8.2889 Tf 3.539 0 Td [(L)]TJ/F150 9.5641 Tf 3.928 0 Td [(T)]TJ/F76 8.2889 Tf 3.185 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.434 Td [(0)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\017)-55(/)]TJ/F22 5.8022 Tf 8.273 3.95 Td [(2)]TJ/F150 9.5641 Tf 5.982 -3.95 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.434 Td [(0)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\017)-55(/)]TJ/F150 9.5641 Tf 10.399 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(U)-222(C)]TJ/F76 8.2889 Tf 14.896 0 Td [(mc)]TJ/F22 5.8022 Tf 10.891 -1.434 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.434 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(22)]TJ/F150 9.5641 Tf 7.217 1.434 Td [(g)]TJ/F22 8.2889 Tf 3.539 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(.\025)]TJ/F22 4.9734 Tf 6.159 -1.353 Td [(0)]TJ/F150 6.6948 Tf 3.378 1.353 Td [(C)]TJ/F154 6.6948 Tf 5.222 0 Td [(\017)-55(/)]TJ/F76 5.8022 Tf 5.791 0 Td [(t)]TJ/F150 9.5641 Tf 5.705 -3.95 Td [(\025)]TJ/F22 8.2889 Tf 9.868 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(:)]TJ ET 1 0 0 1 40.867 412.602 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -412.602 cm BT /F22 8.2889 Tf 40.867 395.639 Td [(When)]TJ/F76 8.2889 Tf 25.115 0 Td [(t)]TJ/F150 9.5641 Tf 6.299 0 Td [(\025)]TJ/F76 8.2889 Tf 9.868 0 Td [(t)]TJ/F22 5.8022 Tf 2.935 -1.435 Td [(1)]TJ/F22 8.2889 Tf 5.929 1.435 Td [(it)-250(is)-250(obvious)-250(that)]TJ ET 1 0 0 1 40.867 395.639 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -395.639 cm BT /F76 8.2889 Tf 64.777 378.675 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\032)]TJ ET q 1 0 0 1 73.243 375.327 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F150 6.6948 Tf 79.029 382.625 Td [(00)]TJ/F22 5.8022 Tf 0 -8.292 Td [(2)]TJ/F154 9.5641 Tf 4.114 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\032)]TJ ET q 1 0 0 1 109.945 375.327 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F150 6.6948 Tf 115.732 382.625 Td [(0)]TJ/F22 5.8022 Tf 0 -8.292 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\032)]TJ ET q 1 0 0 1 142.078 375.327 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 147.864 374.333 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(g)]TJ/F154 9.5641 Tf 5.003 0 Td [(.\032)]TJ ET q 1 0 0 1 171.069 375.327 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 176.855 374.333 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\032)]TJ ET q 1 0 0 1 214.148 375.327 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 219.934 374.333 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.792 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(:)]TJ ET 1 0 0 1 40.867 378.675 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -378.675 cm BT /F22 8.2889 Tf 52.822 359.524 Td [(Noting)-250(that)]TJ/F154 9.5641 Tf 45.547 0 Td [(\032)]TJ ET q 1 0 0 1 98.369 356.176 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F150 6.6948 Tf 104.155 362.995 Td [(0)]TJ/F22 5.8022 Tf 0 -7.813 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(1)]TJ/F150 9.5641 Tf 3.858 1.435 Td [(C)]TJ/F154 9.5641 Tf 7.46 0 Td [(/)-278(>)-278(\032)]TJ ET q 1 0 0 1 142.173 356.176 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F150 6.6948 Tf 147.959 362.995 Td [(0)]TJ/F22 5.8022 Tf 0 -7.813 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(1)]TJ/F150 9.5641 Tf 3.858 1.435 Td [(\000)]TJ/F154 9.5641 Tf 7.46 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(,)-250(we)-250(obtain)]TJ ET 1 0 0 1 40.867 359.524 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -359.524 cm BT /F154 9.5641 Tf 64.777 341.112 Td [(\040)]TJ ET q 1 0 0 1 64.777 337.669 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 72.371 341.112 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 7.054 0 Td [(D)]TJ/F76 8.2889 Tf 10.947 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\032)]TJ ET q 1 0 0 1 109.036 337.764 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 114.822 336.77 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(;)-167(\032)]TJ ET q 1 0 0 1 123.439 337.764 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 129.226 336.77 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(/)]TJ ET 1 0 0 1 40.867 341.112 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -341.112 cm BT /F150 9.5641 Tf 86.635 318.499 Td [(\025)]TJ/F22 8.2889 Tf 32.488 6.705 Td [(1)]TJ ET q 1 0 0 1 98.778 320.89 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 98.778 311.709 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(4)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(3)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.218 Td [(\024)]TJ 5.213 -0.411 Td [(Z)]TJ/F76 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F150 6.6948 Tf -4.38 -19.002 Td [(\0001)]TJ/F22 8.2889 Tf 14.149 8.569 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(3)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F154 9.5641 Tf 2.996 -3.95 Td [(.)]TJ/F150 9.5641 Tf 3.567 0 Td [(\000)]TJ/F76 8.2889 Tf 7.46 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(\032)]TJ ET q 1 0 0 1 217.994 315.152 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F150 6.6948 Tf 223.78 322.449 Td [(00)]TJ/F22 5.8022 Tf 0 -8.292 Td [(2)]TJ/F154 9.5641 Tf 4.114 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\032)]TJ ET q 1 0 0 1 254.435 315.152 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F150 6.6948 Tf 260.222 322.449 Td [(0)]TJ/F22 5.8022 Tf 0 -8.292 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.395 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(\032)]TJ ET q 1 0 0 1 295.558 315.152 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 301.345 314.157 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(//)]TJ/F150 9.5641 Tf 9.26 0 Td [(C)]TJ/F152 9.5641 Tf 9.586 13.017 Td [(Z)]TJ/F150 6.6948 Tf 9.43 -2.584 Td [(1)]TJ/F76 5.8022 Tf -4.38 -19.002 Td [(t)]TJ/F22 8.2889 Tf 13.308 8.569 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(4)]TJ/F154 6.6948 Tf 3.377 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.368 0 Td [(/)]TJ/F154 9.5641 Tf 2.995 -3.95 Td [(.)]TJ/F150 9.5641 Tf 3.567 0 Td [(\000)]TJ/F76 8.2889 Tf 7.46 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(\032)]TJ ET q 1 0 0 1 395.88 315.152 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F150 6.6948 Tf 401.666 322.449 Td [(00)]TJ/F22 5.8022 Tf 0 -8.292 Td [(2)]TJ/F154 9.5641 Tf 4.113 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.315 0 Td [(\032)]TJ ET q 1 0 0 1 432.321 315.152 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F150 6.6948 Tf 438.107 322.449 Td [(0)]TJ/F22 5.8022 Tf 0 -8.292 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(\032)]TJ ET q 1 0 0 1 473.444 315.152 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 479.23 314.157 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(//)]TJ/F152 9.5641 Tf 7.135 13.428 Td [(\025)]TJ ET 1 0 0 1 40.867 318.499 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -318.499 cm BT /F150 9.5641 Tf 86.635 292.324 Td [(D)]TJ/F154 9.5641 Tf 10.947 0 Td [(\032)]TJ ET q 1 0 0 1 97.582 288.976 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 103.369 287.982 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F22 8.2889 Tf 31.126 6.704 Td [(1)]TJ ET q 1 0 0 1 130.91 294.715 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 130.91 285.533 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(4)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(3)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F22 8.2889 Tf 4.762 6.791 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025.)]TJ/F76 5.8022 Tf 6.16 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(t)]TJ/F22 4.9734 Tf 2.054 -1.353 Td [(1)]TJ/F154 6.6948 Tf 3.377 1.353 Td [(/)]TJ/F150 9.5641 Tf 2.996 -3.95 Td [(T)]TJ/F154 9.5641 Tf 3.184 0 Td [(\032)]TJ ET q 1 0 0 1 207.499 288.976 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F150 6.6948 Tf 213.285 296.274 Td [(0)]TJ/F22 5.8022 Tf 0 -8.292 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(1)]TJ/F150 9.5641 Tf 3.858 1.435 Td [(C)]TJ/F154 9.5641 Tf 7.46 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\032)]TJ ET q 1 0 0 1 250.24 288.976 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F150 6.6948 Tf 256.026 296.274 Td [(0)]TJ/F22 5.8022 Tf 0 -8.292 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(1)]TJ/F150 9.5641 Tf 3.858 1.435 Td [(\000)]TJ/F154 9.5641 Tf 7.46 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(U)]TJ/F154 9.5641 Tf 11.474 0 Td [(.\025)]TJ/F150 9.5641 Tf 11.455 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(3)]TJ/F22 8.2889 Tf 5.929 1.435 Td [(or)]TJ/F154 9.5641 Tf 10.171 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(4)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ ET 1 0 0 1 40.867 292.324 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -292.324 cm BT /F150 9.5641 Tf 86.635 273.313 Td [(\025)]TJ/F154 9.5641 Tf 10.947 0 Td [(\032)]TJ ET q 1 0 0 1 97.582 269.966 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 103.369 268.971 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf 16.616 0 Td [(t)]TJ/F150 9.5641 Tf 6.299 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(:)]TJ ET 1 0 0 1 40.867 273.313 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -273.313 cm BT /F22 8.2889 Tf 40.867 255.111 Td [(By)-250(a)-250(similar)-250(argument,)-250(we)-250(obtain)]TJ ET 1 0 0 1 40.867 255.111 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -255.111 cm BT /F154 9.5641 Tf 64.777 238.147 Td [(\036)]TJ ET q 1 0 0 1 64.777 234.761 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 70.774 238.147 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 7.054 0 Td [(D)]TJ/F76 8.2889 Tf 10.947 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\032)]TJ ET q 1 0 0 1 107.438 234.799 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 113.225 233.805 Td [(1)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(;)-167(\032)]TJ ET q 1 0 0 1 121.842 234.799 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 127.628 233.805 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(/)]TJ ET 1 0 0 1 40.867 238.147 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -238.147 cm BT /F150 9.5641 Tf 85.038 215.535 Td [(\024)]TJ/F22 8.2889 Tf 32.488 6.704 Td [(1)]TJ ET q 1 0 0 1 97.181 217.926 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 97.181 208.744 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.219 Td [(\024)]TJ 5.212 -0.412 Td [(Z)]TJ/F76 5.8022 Tf 9.431 -2.584 Td [(t)]TJ/F150 6.6948 Tf -4.381 -19.002 Td [(\0001)]TJ/F22 8.2889 Tf 14.15 8.57 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.949 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F154 9.5641 Tf 2.995 -3.949 Td [(.)]TJ/F150 9.5641 Tf 3.568 0 Td [(\000)]TJ/F76 8.2889 Tf 7.46 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\032)]TJ ET q 1 0 0 1 216.397 212.187 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F150 6.6948 Tf 222.183 219.485 Td [(00)]TJ/F22 5.8022 Tf 0 -8.292 Td [(1)]TJ/F154 9.5641 Tf 4.113 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\032)]TJ ET q 1 0 0 1 252.838 212.187 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F150 6.6948 Tf 258.624 219.485 Td [(0)]TJ/F22 5.8022 Tf 0 -8.292 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\032)]TJ ET q 1 0 0 1 293.961 212.187 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 299.747 211.193 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(//)]TJ ET 1 0 0 1 40.867 215.535 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -215.535 cm BT /F150 9.5641 Tf 97.181 188.556 Td [(C)]TJ/F152 9.5641 Tf 9.054 13.017 Td [(Z)]TJ/F150 6.6948 Tf 9.43 -2.584 Td [(1)]TJ/F76 5.8022 Tf -4.381 -19.002 Td [(t)]TJ/F22 8.2889 Tf 13.308 8.569 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(2)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F154 9.5641 Tf 2.996 -3.95 Td [(.)]TJ/F150 9.5641 Tf 3.567 0 Td [(\000)]TJ/F76 8.2889 Tf 7.46 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(1)]TJ ET q 1 0 0 1 171.117 194.304 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 171.117 188.556 Td [(\032)]TJ/F150 6.6948 Tf 5.787 3.95 Td [(00)]TJ/F22 5.8022 Tf 0 -6.522 Td [(1)]TJ/F154 9.5641 Tf 4.113 2.572 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.315 0 Td [(\032)]TJ ET q 1 0 0 1 207.559 185.209 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F150 6.6948 Tf 213.345 192.506 Td [(0)]TJ/F22 5.8022 Tf 0 -8.292 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(\032)]TJ ET q 1 0 0 1 248.682 185.209 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 254.468 184.214 Td [(1)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(//)]TJ/F152 9.5641 Tf 7.134 13.428 Td [(\025)]TJ/F150 9.5641 Tf 7.87 -13.428 Td [(D)]TJ/F154 9.5641 Tf 10.116 0 Td [(\032)]TJ ET q 1 0 0 1 290.395 185.209 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 296.181 184.214 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf 16.616 0 Td [(t)]TJ/F150 9.5641 Tf 6.3 0 Td [(2)]TJ/F76 8.2889 Tf 8.672 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(:)]TJ ET 1 0 0 1 40.867 188.556 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -188.556 cm BT /F22 8.2889 Tf 40.867 164.047 Td [(Now,)]TJ/F154 9.5641 Tf 21.94 0 Td [(.\036)]TJ ET q 1 0 0 1 66.375 160.661 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 72.371 164.047 Td [(;)-167(\040)]TJ ET q 1 0 0 1 77.131 160.604 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 84.725 164.047 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(2)]TJ/F76 8.2889 Tf 8.672 0 Td [(C)]TJ/F22 5.8022 Tf 5.633 3.471 Td [(2)]TJ/F154 9.5641 Tf 3.857 -3.471 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 3.471 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.471 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(and)]TJ ET 1 0 0 1 152.987 164.047 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -152.987 -164.047 cm BT /F22 8.2889 Tf 152.987 164.047 Td [(Lemma)-250(1)]TJ ET 1 0 0 1 188.016 164.047 cm 0 g 0 G 1 0 0 1 -188.016 -164.047 cm BT /F22 8.2889 Tf 190.088 164.047 Td [(leads)-250(to)]TJ ET 1 0 0 1 40.867 164.047 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -164.047 cm BT /F76 8.2889 Tf 64.777 144.919 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(\036)]TJ ET q 1 0 0 1 73.243 141.534 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F150 6.6948 Tf 79.24 148.869 Td [(00)]TJ/F154 9.5641 Tf 4.113 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.315 0 Td [(\036)]TJ ET q 1 0 0 1 110.156 141.534 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F150 6.6948 Tf 116.153 148.869 Td [(0)]TJ/F154 9.5641 Tf 2.305 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\036)]TJ ET q 1 0 0 1 140.947 141.534 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 146.943 144.919 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(\036)]TJ ET q 1 0 0 1 176.401 141.534 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 182.397 144.919 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\040)]TJ ET q 1 0 0 1 204.886 141.476 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 212.48 144.919 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 10.622 0 Td [(D)]TJ/F76 8.2889 Tf 10.947 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(\036)]TJ ET q 1 0 0 1 249.725 141.534 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F150 6.6948 Tf 255.721 148.869 Td [(00)]TJ/F154 9.5641 Tf 4.114 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\036)]TJ ET q 1 0 0 1 286.637 141.534 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F150 6.6948 Tf 292.634 148.869 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(\036)]TJ ET q 1 0 0 1 326.68 141.534 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 332.677 144.919 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\036)]TJ ET q 1 0 0 1 368.517 141.534 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 374.513 144.919 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-167(\040)]TJ ET q 1 0 0 1 390.051 141.476 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 397.645 144.919 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ ET 1 0 0 1 40.867 144.919 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -144.919 cm BT /F150 9.5641 Tf 230.312 129.306 Td [(\024)]TJ/F76 8.2889 Tf 10.947 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(\036)]TJ ET q 1 0 0 1 249.725 125.921 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F150 6.6948 Tf 255.721 133.256 Td [(00)]TJ/F154 9.5641 Tf 4.114 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\036)]TJ ET q 1 0 0 1 286.637 125.921 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F150 6.6948 Tf 292.634 133.256 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(\036)]TJ ET q 1 0 0 1 326.68 125.921 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 332.677 129.306 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\032)]TJ ET q 1 0 0 1 368.517 125.959 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 374.303 124.964 Td [(1)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-167(\032)]TJ ET q 1 0 0 1 393.698 125.959 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 399.484 124.964 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.792 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ ET 1 0 0 1 40.867 129.306 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -129.306 cm BT /F22 8.2889 Tf 40.867 111.104 Td [(and)]TJ ET 1 0 0 1 40.867 111.104 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -111.104 cm BT /F76 8.2889 Tf 64.777 94.14 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\040)]TJ ET q 1 0 0 1 73.243 90.697 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F150 6.6948 Tf 80.837 98.09 Td [(00)]TJ/F154 9.5641 Tf 4.113 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\040)]TJ ET q 1 0 0 1 111.753 90.697 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F150 6.6948 Tf 119.347 98.09 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\036)]TJ ET q 1 0 0 1 144.141 90.754 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 150.138 94.14 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 3.568 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.\036)]TJ ET q 1 0 0 1 169.485 90.754 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 175.482 94.14 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\040)]TJ ET q 1 0 0 1 208.917 90.697 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 216.511 94.14 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 10.621 0 Td [(D)]TJ/F76 8.2889 Tf 10.947 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(\040)]TJ ET q 1 0 0 1 253.756 90.697 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F150 6.6948 Tf 261.35 98.09 Td [(00)]TJ/F154 9.5641 Tf 4.114 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\040)]TJ ET q 1 0 0 1 292.266 90.697 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F150 6.6948 Tf 299.86 98.09 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\040)]TJ ET q 1 0 0 1 333.906 90.697 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 341.5 94.14 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)]TJ ET q 1 0 0 1 377.34 90.754 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 383.337 94.14 Td [(;)-167(\040)]TJ ET q 1 0 0 1 388.096 90.697 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 395.69 94.14 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ ET 1 0 0 1 40.867 94.14 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -94.14 cm BT /F150 9.5641 Tf 234.343 76.549 Td [(\025)]TJ/F76 8.2889 Tf 10.947 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ ET q 1 0 0 1 253.756 84.401 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 253.756 76.549 Td [(\040)]TJ/F150 6.6948 Tf 7.594 5.928 Td [(00)]TJ/F154 9.5641 Tf 4.114 -5.928 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ ET q 1 0 0 1 292.266 84.401 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 292.266 76.549 Td [(\040)]TJ/F150 6.6948 Tf 7.594 5.928 Td [(0)]TJ/F154 9.5641 Tf 2.306 -5.928 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\040)]TJ ET q 1 0 0 1 333.906 73.106 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 341.5 76.549 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\032)]TJ ET q 1 0 0 1 377.34 73.202 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 383.126 72.207 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(;)-167(\032)]TJ ET q 1 0 0 1 391.743 73.202 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 397.53 72.207 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(:)]TJ ET 1 0 0 1 40.867 76.549 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -76.549 cm BT /F22 8.2889 Tf 40.867 56.783 Td [(Noting)-250(that)]TJ/F76 8.2889 Tf 45.547 0 Td [(F)]TJ/F154 9.5641 Tf 5.044 0 Td [(.\032)]TJ ET q 1 0 0 1 95.025 53.436 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 100.811 52.441 Td [(1)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(;)-167(\032)]TJ ET q 1 0 0 1 109.428 53.436 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 115.215 52.441 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(D)]TJ/F150 9.5641 Tf 7.878 0 Td [(\134)]TJ/F76 8.2889 Tf 8.514 0 Td [(C)]TJ/F22 5.8022 Tf 5.632 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.472 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(;)]TJ/F76 8.2889 Tf 4.759 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.857 -3.472 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(,)-250(we)-250(conclude)-250(that)]TJ/F154 9.5641 Tf 71.624 0 Td [(.\036)]TJ ET q 1 0 0 1 260.525 53.397 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 266.522 56.783 Td [(;)-167(\040)]TJ ET q 1 0 0 1 271.282 53.34 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 278.875 56.783 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(2)]TJ/F154 9.2055 Tf 8.673 0 Td [(\003)]TJ/F150 6.6948 Tf 7.328 3.472 Td [(\000)]TJ/F22 8.2889 Tf 5.72 -3.472 Td [(.)-250(This)-250(completes)-250(the)-250(proof.)]TJ/F136 7.9701 Tf 112.736 0 Td [(\003)]TJ ET 1 0 0 1 40.867 56.783 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -16.297 cm 0 g 0 G 1 0 0 1 466.251 0 cm 0 g 0 G endstream endobj 137 0 obj << /Type /XObject /Subtype /Form /FormType 1 /PTEX.FileName (./main.pdf) /PTEX.PageNumber 10 /PTEX.InfoDict 100 0 R /Matrix [ 1 0 0 1 0 0 ] /BBox [ 0 0 544.252 742.677 ] /Resources << /Font << /F150 97 0 R /F22 92 0 R /F76 96 0 R /F123 93 0 R /F136 39 0 R /F152 60 0 R /F154 59 0 R >> /ProcSet [ /PDF /Text ] >> /Length 45936 >> stream 1 0 0 1 37.134 702.503 cm 0 g 0 G 1 0 0 1 -37.134 -702.503 cm BT /F76 6.6311 Tf 152.872 702.503 Td [(Z.)-250(Yuan,)-250(X.)-250(Zou)-250(/)-250(Nonlinear)-250(Analysis:)-333(Real)-250(World)-250(Applications)-250(11)-250(\0502010\051)-250(232\025245)]TJ/F22 6.6311 Tf 338.995 0 Td [(241)]TJ ET 1 0 0 1 503.385 702.503 cm 0 g 0 G 1 0 0 1 -503.385 -702.503 cm BT /F22 8.2889 Tf 37.134 680.585 Td [(and)]TJ ET 1 0 0 1 37.134 680.585 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -680.585 cm BT /F76 8.2889 Tf 61.044 658.969 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ ET q 1 0 0 1 69.51 664.717 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 69.51 658.969 Td [(\032)]TJ/F150 6.6948 Tf 5.787 3.95 Td [(00)]TJ/F22 5.8022 Tf 0 -6.523 Td [(2)]TJ/F154 9.5641 Tf 4.113 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ ET q 1 0 0 1 106.213 664.717 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 106.213 658.969 Td [(\032)]TJ/F150 6.6948 Tf 5.786 3.95 Td [(0)]TJ/F22 5.8022 Tf 0 -6.523 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ ET q 1 0 0 1 138.345 664.717 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 138.345 658.969 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 3.568 0 Td [(g)]TJ/F154 9.5641 Tf 6.596 -0.062 Td [(.)]TJ ET q 1 0 0 1 168.93 664.717 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 168.93 658.969 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ ET q 1 0 0 1 212.01 664.717 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 212.01 658.969 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ 3.567 -0.062 Td [(/)]TJ/F150 9.5641 Tf 7.054 0.062 Td [(D)]TJ/F76 8.2889 Tf 10.947 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F22 8.2889 Tf 7.217 1.435 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\025)]TJ/F22 5.8022 Tf 5.231 3.95 Td [(2)]TJ 0 -6.523 Td [(0)]TJ/F150 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F22 8.2889 Tf 7.217 1.435 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F76 8.2889 Tf 3.048 -3.95 Td [(g)]TJ/F152 9.5641 Tf 6.596 13.428 Td [(\022)]TJ/F76 8.2889 Tf 9.34 -6.724 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ ET q 1 0 0 1 376.985 661.36 cm []0 d 0 J 0.44 w 0 0 m 10.947 0 l S Q BT /F76 8.2889 Tf 376.985 652.179 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F150 9.5641 Tf 10.537 8.225 Td [(\000)]TJ/F22 8.2889 Tf 9.586 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F150 9.5641 Tf 5.173 -3.95 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F22 8.2889 Tf 7.217 1.435 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F152 9.5641 Tf 3.048 9.478 Td [(\023)]TJ ET 1 0 0 1 37.134 658.969 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -658.969 cm BT /F150 9.5641 Tf 239.485 637.495 Td [(\024)]TJ/F76 8.2889 Tf 10.947 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F22 8.2889 Tf 7.217 1.434 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F150 9.5641 Tf 3.048 -3.95 Td [(T)]TJ/F76 8.2889 Tf 3.185 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(\025)]TJ/F22 5.8022 Tf 5.232 3.95 Td [(2)]TJ 0 -6.522 Td [(0)]TJ/F150 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.434 Td [(0)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(U)-278(D)]TJ/F22 8.2889 Tf 15.959 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F76 8.2889 Tf 13.048 0 Td [(t)]TJ/F154 9.5641 Tf 6.3 0 Td [(<)]TJ/F76 8.2889 Tf 10.117 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)]TJ ET 1 0 0 1 37.134 637.495 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -637.495 cm BT /F22 8.2889 Tf 37.134 620.357 Td [(and)]TJ ET 1 0 0 1 37.134 620.357 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -620.357 cm BT /F76 8.2889 Tf 61.044 603.219 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ ET q 1 0 0 1 69.51 608.967 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 69.51 603.219 Td [(\032)]TJ/F150 6.6948 Tf 5.787 3.95 Td [(00)]TJ/F22 5.8022 Tf 0 -6.523 Td [(2)]TJ/F154 9.5641 Tf 4.113 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ ET q 1 0 0 1 106.213 608.967 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 106.213 603.219 Td [(\032)]TJ/F150 6.6948 Tf 5.786 3.95 Td [(0)]TJ/F22 5.8022 Tf 0 -6.523 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ ET q 1 0 0 1 138.345 608.967 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 138.345 603.219 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 3.568 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ ET q 1 0 0 1 167.336 608.967 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 167.336 603.219 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ ET q 1 0 0 1 210.416 608.967 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 210.416 603.219 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.791 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(v)]TJ/F150 6.6948 Tf 5.04 3.95 Td [(\003)]TJ/F76 8.2889 Tf 3.986 -3.95 Td [(g)]TJ/F154 9.5641 Tf 5.003 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.95 Td [(\003)]TJ/F150 9.5641 Tf 6.111 -3.95 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(v)]TJ/F150 6.6948 Tf 5.04 3.95 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.95 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(v)]TJ/F150 6.6948 Tf 5.04 3.95 Td [(\003)]TJ/F76 8.2889 Tf 3.986 -3.95 Td [(g)]TJ/F154 9.5641 Tf 5.003 0 Td [(.w)]TJ/F22 5.8022 Tf 10.597 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F76 8.2889 Tf 13.049 0 Td [(t)]TJ/F154 9.5641 Tf 6.299 0 Td [(>)]TJ/F76 8.2889 Tf 10.117 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(:)]TJ ET 1 0 0 1 37.134 603.219 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -603.219 cm BT /F22 8.2889 Tf 37.134 586.081 Td [(By)-250(integration)-250(by)-250(parts)-250(\050see)-250([)]TJ ET 1 0 0 1 146.745 586.081 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -146.745 -586.081 cm BT /F22 8.2889 Tf 146.745 586.081 Td [(15)]TJ ET 1 0 0 1 156.344 586.081 cm 0 g 0 G 1 0 0 1 -156.344 -586.081 cm BT /F22 8.2889 Tf 156.344 586.081 Td [(,)]TJ ET 1 0 0 1 158.284 586.081 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -158.284 -586.081 cm BT /F22 8.2889 Tf 158.284 586.081 Td [(28)]TJ ET 1 0 0 1 167.882 586.081 cm 0 g 0 G 1 0 0 1 -167.882 -586.081 cm BT /F22 8.2889 Tf 167.882 586.081 Td [(,)]TJ ET 1 0 0 1 169.822 586.081 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -169.822 -586.081 cm BT /F22 8.2889 Tf 169.822 586.081 Td [(30)]TJ ET 1 0 0 1 179.42 586.081 cm 0 g 0 G 1 0 0 1 -179.42 -586.081 cm BT /F22 8.2889 Tf 179.42 586.081 Td [(]\051)-250(and)-250(the)-250(fact)-250(that)]TJ ET q 1 0 0 1 252.171 591.829 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 252.171 586.081 Td [(\032)]TJ/F150 6.6948 Tf 5.787 3.823 Td [(0)]TJ/F22 5.8022 Tf 0 -6.396 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F22 5.8022 Tf 2.935 -1.435 Td [(0)]TJ/F150 9.5641 Tf 3.857 1.435 Td [(C)]TJ/F154 9.5641 Tf 7.46 0 Td [(/)-278(<)]TJ ET q 1 0 0 1 295.975 591.829 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 295.975 586.081 Td [(\032)]TJ/F150 6.6948 Tf 5.786 3.823 Td [(0)]TJ/F22 5.8022 Tf 0 -6.396 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F22 5.8022 Tf 2.935 -1.435 Td [(0)]TJ/F150 9.5641 Tf 3.857 1.435 Td [(\000)]TJ/F154 9.5641 Tf 7.46 0 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(\050see)-250(e.g.,)-250([)]TJ ET 1 0 0 1 366.386 586.081 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -366.386 -586.081 cm BT /F22 8.2889 Tf 366.386 586.081 Td [(15)]TJ ET 1 0 0 1 375.984 586.081 cm 0 g 0 G 1 0 0 1 -375.984 -586.081 cm BT /F22 8.2889 Tf 375.984 586.081 Td [(,)]TJ ET 1 0 0 1 377.924 586.081 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -377.924 -586.081 cm BT /F22 8.2889 Tf 377.924 586.081 Td [(28)]TJ ET 1 0 0 1 387.522 586.081 cm 0 g 0 G 1 0 0 1 -387.522 -586.081 cm BT /F22 8.2889 Tf 387.522 586.081 Td [(,)]TJ ET 1 0 0 1 389.462 586.081 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -389.462 -586.081 cm BT /F22 8.2889 Tf 389.462 586.081 Td [(30)]TJ ET 1 0 0 1 399.06 586.081 cm 0 g 0 G 1 0 0 1 -399.06 -586.081 cm BT /F22 8.2889 Tf 399.06 586.081 Td [(]\051,)-250(we)-250(have)]TJ ET 1 0 0 1 37.134 586.081 cm 0 g 0 G 0 g 0 G q 1 0 0 1 23.91 -10.907 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q 1 0 0 1 -37.134 -586.081 cm BT /F154 9.5641 Tf 61.044 567.322 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F150 9.5641 Tf 7.055 0 Td [(D)]TJ/F76 8.2889 Tf 10.947 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ ET q 1 0 0 1 105.303 573.07 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 105.303 567.322 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(;)]TJ ET q 1 0 0 1 119.707 573.07 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 119.707 567.322 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(/)]TJ ET 1 0 0 1 37.134 567.322 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -567.322 cm BT /F150 9.5641 Tf 82.903 546.91 Td [(\024)]TJ/F22 8.2889 Tf 32.488 6.704 Td [(1)]TJ ET q 1 0 0 1 95.045 549.301 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 95.045 540.119 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.434 Td [(4)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.434 Td [(3)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.219 Td [(\024)]TJ 5.212 -0.412 Td [(Z)]TJ/F76 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F150 6.6948 Tf -4.38 -19.002 Td [(\0001)]TJ/F22 8.2889 Tf 14.149 8.57 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(3)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F154 9.5641 Tf 2.996 -3.95 Td [(.)]TJ/F150 9.5641 Tf 3.567 0 Td [(\000)]TJ/F76 8.2889 Tf 7.46 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ ET q 1 0 0 1 214.261 552.658 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 214.261 546.91 Td [(\032)]TJ/F150 6.6948 Tf 5.787 3.95 Td [(00)]TJ/F22 5.8022 Tf 0 -6.523 Td [(2)]TJ/F154 9.5641 Tf 4.113 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ ET q 1 0 0 1 250.703 552.658 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 250.703 546.91 Td [(\032)]TJ/F150 6.6948 Tf 5.786 3.95 Td [(0)]TJ/F22 5.8022 Tf 0 -6.523 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(2)]TJ ET q 1 0 0 1 291.826 552.658 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 291.826 546.91 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.143 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.143 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(//)]TJ ET 1 0 0 1 37.134 546.91 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -546.91 cm BT /F150 9.5641 Tf 95.045 519.932 Td [(C)]TJ/F152 9.5641 Tf 9.054 13.016 Td [(Z)]TJ/F150 6.6948 Tf 9.43 -2.584 Td [(1)]TJ/F76 5.8022 Tf -4.38 -19.002 Td [(t)]TJ/F22 8.2889 Tf 13.308 8.57 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(4)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F154 9.5641 Tf 2.995 -3.95 Td [(.)]TJ/F150 9.5641 Tf 3.568 0 Td [(\000)]TJ/F76 8.2889 Tf 7.46 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(2)]TJ ET q 1 0 0 1 168.982 525.68 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 168.982 519.932 Td [(\032)]TJ/F150 6.6948 Tf 5.786 3.95 Td [(00)]TJ/F22 5.8022 Tf 0 -6.523 Td [(2)]TJ/F154 9.5641 Tf 4.114 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ ET q 1 0 0 1 205.423 525.68 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 205.423 519.932 Td [(\032)]TJ/F150 6.6948 Tf 5.786 3.95 Td [(0)]TJ/F22 5.8022 Tf 0 -6.523 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(2)]TJ ET q 1 0 0 1 246.546 525.68 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 246.546 519.932 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.143 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.143 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(//)]TJ/F152 9.5641 Tf 7.135 13.428 Td [(\025)]TJ ET 1 0 0 1 37.134 519.932 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -519.932 cm BT /F150 9.5641 Tf 82.903 493.795 Td [(D)]TJ ET q 1 0 0 1 93.85 499.543 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 93.85 493.795 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F22 8.2889 Tf 31.126 6.704 Td [(1)]TJ ET q 1 0 0 1 127.177 496.186 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 127.177 487.004 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(4)]TJ/F150 9.5641 Tf 5.982 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(3)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F22 8.2889 Tf 4.763 6.79 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025.)]TJ/F76 5.8022 Tf 6.159 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(t)]TJ/F22 4.9734 Tf 2.054 -1.353 Td [(0)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(/)]TJ/F150 9.5641 Tf 2.995 -3.95 Td [(T)]TJ ET q 1 0 0 1 203.766 499.543 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 203.766 493.795 Td [(\032)]TJ/F150 6.6948 Tf 5.786 3.95 Td [(0)]TJ/F22 5.8022 Tf 0 -6.523 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(0)]TJ/F150 9.5641 Tf 3.858 1.435 Td [(C)]TJ/F154 9.5641 Tf 7.46 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ ET q 1 0 0 1 246.507 499.543 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 246.507 493.795 Td [(\032)]TJ/F150 6.6948 Tf 5.786 3.95 Td [(0)]TJ/F22 5.8022 Tf 0 -6.523 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(0)]TJ/F150 9.5641 Tf 3.858 1.435 Td [(\000)]TJ/F154 9.5641 Tf 7.46 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(U)]TJ/F154 9.5641 Tf 11.474 0 Td [(.\025)]TJ/F150 9.5641 Tf 11.456 0 Td [(D)]TJ/F154 9.5641 Tf 10.116 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(3)]TJ/F22 8.2889 Tf 5.93 1.435 Td [(or)]TJ/F154 9.5641 Tf 10.17 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(4)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ ET 1 0 0 1 37.134 493.795 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -493.795 cm BT /F150 9.5641 Tf 82.903 474.785 Td [(\024)]TJ ET q 1 0 0 1 93.85 480.533 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 93.85 474.785 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.143 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.143 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf 16.616 0 Td [(t)]TJ/F150 9.5641 Tf 6.299 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(:)]TJ ET 1 0 0 1 37.134 474.785 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -474.785 cm BT /F22 8.2889 Tf 37.134 457.647 Td [(By)-250(a)-250(similar)-250(argument,)-250(we)-250(have)]TJ ET 1 0 0 1 37.134 457.647 cm 0 g 0 G 0 g 0 G q 1 0 0 1 23.91 -9.287 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q 1 0 0 1 -37.134 -457.647 cm BT /F154 9.5641 Tf 61.044 440.508 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 7.055 0 Td [(D)]TJ/F76 8.2889 Tf 10.946 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ ET q 1 0 0 1 103.706 446.256 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 103.706 440.508 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(;)]TJ ET q 1 0 0 1 118.109 446.256 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 118.109 440.508 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(/)]TJ ET 1 0 0 1 37.134 440.508 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -440.508 cm BT /F150 9.5641 Tf 81.306 420.096 Td [(\025)]TJ/F22 8.2889 Tf 32.487 6.704 Td [(1)]TJ ET q 1 0 0 1 93.448 422.487 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 93.448 413.305 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.219 Td [(\024)]TJ 5.213 -0.412 Td [(Z)]TJ/F76 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F150 6.6948 Tf -4.38 -19.002 Td [(\0001)]TJ/F22 8.2889 Tf 14.149 8.57 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F154 9.5641 Tf 2.996 -3.95 Td [(.)]TJ/F150 9.5641 Tf 3.567 0 Td [(\000)]TJ/F76 8.2889 Tf 7.46 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ ET q 1 0 0 1 212.664 425.844 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 212.664 420.096 Td [(\032)]TJ/F150 6.6948 Tf 5.786 3.95 Td [(00)]TJ/F22 5.8022 Tf 0 -6.523 Td [(1)]TJ/F154 9.5641 Tf 4.114 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ ET q 1 0 0 1 249.105 425.844 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 249.105 420.096 Td [(\032)]TJ/F150 6.6948 Tf 5.787 3.95 Td [(0)]TJ/F22 5.8022 Tf 0 -6.523 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ ET q 1 0 0 1 290.228 425.844 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 290.228 420.096 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.143 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.143 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(//)]TJ ET 1 0 0 1 37.134 420.096 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -420.096 cm BT /F150 9.5641 Tf 93.448 393.118 Td [(C)]TJ/F152 9.5641 Tf 9.054 13.016 Td [(Z)]TJ/F150 6.6948 Tf 9.43 -2.584 Td [(1)]TJ/F76 5.8022 Tf -4.38 -19.002 Td [(t)]TJ/F22 8.2889 Tf 13.308 8.57 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(2)]TJ/F154 6.6948 Tf 3.377 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.498 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F154 9.5641 Tf 2.995 -3.95 Td [(.)]TJ/F150 9.5641 Tf 3.568 0 Td [(\000)]TJ/F76 8.2889 Tf 7.46 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ ET q 1 0 0 1 167.385 398.866 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 167.385 393.118 Td [(\032)]TJ/F150 6.6948 Tf 5.786 3.95 Td [(00)]TJ/F22 5.8022 Tf 0 -6.523 Td [(1)]TJ/F154 9.5641 Tf 4.113 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ ET q 1 0 0 1 203.826 398.866 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 203.826 393.118 Td [(\032)]TJ/F150 6.6948 Tf 5.786 3.95 Td [(0)]TJ/F22 5.8022 Tf 0 -6.523 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ ET q 1 0 0 1 244.949 398.866 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 244.949 393.118 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.143 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.143 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(//)]TJ/F152 9.5641 Tf 7.135 13.428 Td [(\025)]TJ ET 1 0 0 1 37.134 393.118 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -393.118 cm BT /F150 9.5641 Tf 81.306 366.981 Td [(D)]TJ ET q 1 0 0 1 92.252 372.729 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 92.252 366.981 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F22 8.2889 Tf 31.127 6.704 Td [(1)]TJ ET q 1 0 0 1 125.58 369.372 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 125.58 360.191 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F22 8.2889 Tf 4.763 6.79 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025.)]TJ/F76 5.8022 Tf 6.159 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(t)]TJ/F22 4.9734 Tf 2.054 -1.353 Td [(0)]TJ/F154 6.6948 Tf 3.377 1.353 Td [(/)]TJ/F150 9.5641 Tf 2.996 -3.95 Td [(T)]TJ ET q 1 0 0 1 202.169 372.729 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 202.169 366.981 Td [(\032)]TJ/F150 6.6948 Tf 5.786 3.95 Td [(0)]TJ/F22 5.8022 Tf 0 -6.523 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(0)]TJ/F150 9.5641 Tf 3.858 1.435 Td [(C)]TJ/F154 9.5641 Tf 7.46 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ ET q 1 0 0 1 244.91 372.729 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 244.91 366.981 Td [(\032)]TJ/F150 6.6948 Tf 5.786 3.95 Td [(0)]TJ/F22 5.8022 Tf 0 -6.523 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(0)]TJ/F150 9.5641 Tf 3.858 1.435 Td [(\000)]TJ/F154 9.5641 Tf 7.46 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(U)]TJ/F154 9.5641 Tf 11.474 0 Td [(.\025)]TJ/F150 9.5641 Tf 11.456 0 Td [(D)]TJ/F154 9.5641 Tf 10.116 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F22 8.2889 Tf 5.93 1.435 Td [(or)]TJ/F154 9.5641 Tf 10.17 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ ET 1 0 0 1 37.134 366.981 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -366.981 cm BT /F150 9.5641 Tf 81.306 347.971 Td [(\025)]TJ ET q 1 0 0 1 92.252 353.719 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 92.252 347.971 Td [(\032)]TJ/F22 5.8022 Tf 5.787 -2.143 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.143 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf 16.616 0 Td [(t)]TJ/F150 9.5641 Tf 6.299 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(:)]TJ ET 1 0 0 1 37.134 347.971 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -347.971 cm BT /F22 8.2889 Tf 37.134 329.643 Td [(Now,)]TJ/F154 9.5641 Tf 21.94 0 Td [(.)]TJ ET q 1 0 0 1 62.642 337.495 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 62.642 329.643 Td [(\036)-50(;)]TJ ET q 1 0 0 1 73.398 337.495 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 73.398 329.643 Td [(\040)-90(/)]TJ/F150 9.5641 Tf 13.818 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(C)]TJ/F22 5.8022 Tf 5.632 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.472 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.857 -3.472 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(and)]TJ ET 1 0 0 1 149.255 329.643 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -149.255 -329.643 cm BT /F22 8.2889 Tf 149.255 329.643 Td [(Lemma)-250(1)]TJ ET 1 0 0 1 184.283 329.643 cm 0 g 0 G 1 0 0 1 -184.283 -329.643 cm BT /F22 8.2889 Tf 186.356 329.643 Td [(leads)-250(to)]TJ ET 1 0 0 1 37.134 329.643 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -329.643 cm BT /F76 8.2889 Tf 61.044 310.563 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ ET q 1 0 0 1 69.51 318.415 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 69.51 310.563 Td [(\036)]TJ/F150 6.6948 Tf 5.997 5.928 Td [(00)]TJ/F154 9.5641 Tf 4.113 -5.928 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ ET q 1 0 0 1 106.423 318.415 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 106.423 310.563 Td [(\036)]TJ/F150 6.6948 Tf 5.997 5.928 Td [(0)]TJ/F154 9.5641 Tf 2.306 -5.928 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ ET q 1 0 0 1 137.214 318.415 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 137.214 310.563 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(f)]TJ/F154 9.5641 Tf 4.166 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ ET q 1 0 0 1 172.668 318.415 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 172.668 310.563 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ ET q 1 0 0 1 201.153 318.415 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 201.153 310.563 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 10.622 0 Td [(D)]TJ/F76 8.2889 Tf 10.947 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ ET q 1 0 0 1 245.992 318.415 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 245.992 310.563 Td [(\036)]TJ/F150 6.6948 Tf 5.997 5.928 Td [(00)]TJ/F154 9.5641 Tf 4.113 -5.928 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ ET q 1 0 0 1 282.905 318.415 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 282.905 310.563 Td [(\036)]TJ/F150 6.6948 Tf 5.996 5.928 Td [(0)]TJ/F154 9.5641 Tf 2.306 -5.928 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ ET q 1 0 0 1 322.947 318.415 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 322.947 310.563 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ ET q 1 0 0 1 364.784 318.415 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 364.784 310.563 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ ET q 1 0 0 1 386.318 318.415 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 386.318 310.563 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ ET 1 0 0 1 37.134 310.563 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -310.563 cm BT /F150 9.5641 Tf 226.579 295.172 Td [(\025)]TJ/F76 8.2889 Tf 10.947 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ ET q 1 0 0 1 245.992 303.024 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 245.992 295.172 Td [(\036)]TJ/F150 6.6948 Tf 5.997 5.928 Td [(00)]TJ/F154 9.5641 Tf 4.113 -5.928 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ ET q 1 0 0 1 282.905 303.024 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 282.905 295.172 Td [(\036)]TJ/F150 6.6948 Tf 5.996 5.928 Td [(0)]TJ/F154 9.5641 Tf 2.306 -5.928 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ ET q 1 0 0 1 322.947 303.024 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 322.947 295.172 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ ET q 1 0 0 1 364.784 300.92 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 364.784 295.172 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.143 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.143 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ ET q 1 0 0 1 389.965 300.92 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 389.965 295.172 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.143 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.143 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.792 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ ET 1 0 0 1 37.134 295.172 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -295.172 cm BT /F22 8.2889 Tf 37.134 278.034 Td [(and)]TJ ET 1 0 0 1 37.134 278.034 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -278.034 cm BT /F76 8.2889 Tf 61.044 260.895 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ ET q 1 0 0 1 69.51 268.747 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 69.51 260.895 Td [(\040)]TJ/F150 6.6948 Tf 7.594 5.928 Td [(00)]TJ/F154 9.5641 Tf 4.114 -5.928 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ ET q 1 0 0 1 108.02 268.747 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 108.02 260.895 Td [(\040)]TJ/F150 6.6948 Tf 7.594 5.928 Td [(0)]TJ/F154 9.5641 Tf 2.306 -5.928 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ ET q 1 0 0 1 140.408 268.747 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 140.408 260.895 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 3.568 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ ET q 1 0 0 1 165.753 268.747 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 165.753 260.895 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(22)]TJ ET q 1 0 0 1 205.185 268.747 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 205.185 260.895 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 10.622 0 Td [(D)]TJ/F76 8.2889 Tf 10.947 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.434 Td [(2)]TJ ET q 1 0 0 1 250.024 268.747 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 250.024 260.895 Td [(\040)]TJ/F150 6.6948 Tf 7.594 5.928 Td [(00)]TJ/F154 9.5641 Tf 4.113 -5.928 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ ET q 1 0 0 1 288.534 268.747 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 288.534 260.895 Td [(\040)]TJ/F150 6.6948 Tf 7.594 5.928 Td [(0)]TJ/F154 9.5641 Tf 2.305 -5.928 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(2)]TJ ET q 1 0 0 1 330.173 268.747 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 330.173 260.895 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ ET q 1 0 0 1 373.607 268.747 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 373.607 260.895 Td [(\036)-50(;)]TJ ET q 1 0 0 1 384.364 268.747 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 384.364 260.895 Td [(\040)-90(/.)]TJ/F76 8.2889 Tf 14.728 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ ET 1 0 0 1 37.134 260.895 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -260.895 cm BT /F150 9.5641 Tf 230.611 245.504 Td [(\024)]TJ/F76 8.2889 Tf 10.946 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ ET q 1 0 0 1 250.024 253.356 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 250.024 245.504 Td [(\040)]TJ/F150 6.6948 Tf 7.594 5.928 Td [(00)]TJ/F154 9.5641 Tf 4.113 -5.928 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ ET q 1 0 0 1 288.534 253.356 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 288.534 245.504 Td [(\040)]TJ/F150 6.6948 Tf 7.594 5.928 Td [(0)]TJ/F154 9.5641 Tf 2.305 -5.928 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(2)]TJ ET q 1 0 0 1 330.173 253.356 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 330.173 245.504 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ ET q 1 0 0 1 373.607 251.252 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 373.607 245.504 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(;)]TJ ET q 1 0 0 1 388.011 251.252 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 388.011 245.504 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(/.)]TJ/F76 8.2889 Tf 7.134 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(:)]TJ ET 1 0 0 1 37.134 245.504 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -245.504 cm BT /F22 8.2889 Tf 37.134 227.176 Td [(Noticing)-250(that)]TJ/F76 8.2889 Tf 52.004 0 Td [(F)]TJ/F154 9.5641 Tf 5.044 0 Td [(.)]TJ ET q 1 0 0 1 97.749 232.924 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 97.749 227.176 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(;)]TJ ET q 1 0 0 1 112.153 232.924 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 112.153 227.176 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(2)]TJ/F76 8.2889 Tf 8.672 0 Td [(D)]TJ/F150 9.5641 Tf 7.878 0 Td [(\134)]TJ/F76 8.2889 Tf 8.514 0 Td [(C)]TJ/F22 5.8022 Tf 5.632 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.472 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.472 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(,)-250(we)-250(conclude)-250(that)]TJ/F154 9.5641 Tf 71.624 0 Td [(.)]TJ ET q 1 0 0 1 263.249 235.028 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 263.249 227.176 Td [(\036)-50(;)]TJ ET q 1 0 0 1 274.006 235.028 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 274.006 227.176 Td [(\040)-90(/)]TJ/F150 9.5641 Tf 13.818 0 Td [(2)]TJ/F154 9.2055 Tf 8.672 0 Td [(\003)]TJ/F150 6.6948 Tf 7.328 3.472 Td [(C)]TJ/F22 8.2889 Tf 5.72 -3.472 Td [(.)-250(This)-250(completes)-250(the)-250(proof.)]TJ/F136 7.9701 Tf 112.737 0 Td [(\003)]TJ ET 1 0 0 1 37.134 227.176 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -22.471 cm 0 g 0 G 1 0 0 1 -33.149 -204.705 cm BT /F123 8.2889 Tf 37.134 204.705 Td [(Lemma)-250(10.)]TJ ET 1 0 0 1 80.667 204.705 cm 0 g 0 G 1 0 0 1 -80.667 -204.705 cm BT /F76 8.2889 Tf 84.652 204.705 Td [(If)-452(c)]TJ/F150 9.5641 Tf 15.703 0 Td [(\025)]TJ/F22 8.2889 Tf 9.868 0 Td [(2)]TJ/F150 9.5641 Tf 4.799 7.152 Td [(p)]TJ ET q 1 0 0 1 123.114 212.081 cm []0 d 0 J 0.45 w 0 0 m 43.616 0 l S Q BT /F76 8.2889 Tf 123.114 204.705 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(2)]TJ/F76 8.2889 Tf 3.858 1.435 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(,)-250(then)]TJ ET 1 0 0 1 37.134 204.705 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -204.705 cm BT /F154 9.5641 Tf 61.044 184.271 Td [(.\036)]TJ ET q 1 0 0 1 64.612 180.886 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 70.608 184.271 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-167(\040)]TJ ET q 1 0 0 1 86.146 180.828 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 93.74 184.271 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F154 6.4438 Tf 10.931 5.482 Td [(1)]TJ/F150 9.5641 Tf -1.14 -5.482 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(F)]TJ/F154 9.5641 Tf 5.044 0 Td [(.\032)]TJ ET q 1 0 0 1 129.469 180.924 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 135.256 179.929 Td [(1)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/;)-167(\032)]TJ ET q 1 0 0 1 154.651 180.924 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 160.437 179.929 Td [(2)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ ET 1 0 0 1 37.134 184.271 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -184.271 cm BT /F76 8.2889 Tf 37.134 164.887 Td [(satisfies)]TJ/F154 9.5641 Tf 30.776 0 Td [(.\036)]TJ ET q 1 0 0 1 71.478 161.502 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 77.474 164.887 Td [(;)-167(\040)]TJ ET q 1 0 0 1 82.234 161.444 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 89.828 164.887 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(2)]TJ/F154 9.2055 Tf 8.673 0 Td [(\003)]TJ/F150 6.6948 Tf 7.327 3.472 Td [(\000)]TJ/F76 8.2889 Tf 7.792 -3.472 Td [(with)]TJ ET 1 0 0 1 37.134 164.887 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -164.887 cm BT /F154 9.5641 Tf 61.044 142.75 Td [(\032)]TJ ET q 1 0 0 1 61.044 139.402 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 66.831 138.408 Td [(1)]TJ/F154 9.5641 Tf 3.857 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(;)-1900(\032)]TJ ET q 1 0 0 1 138.59 139.402 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F22 5.8022 Tf 144.376 138.408 Td [(2)]TJ/F154 9.5641 Tf 3.858 4.342 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(max)]TJ/F150 9.5641 Tf 16.577 0 Td [(f)]TJ/F76 8.2889 Tf 3.539 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F150 9.5641 Tf 6.925 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(L)]TJ/F22 8.2889 Tf 3.929 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\017)]TJ/F76 5.8022 Tf 3.294 0 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.377 1.353 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(0)]TJ/F150 9.5641 Tf 4.799 0 Td [(g)]TJ/F154 9.5641 Tf 3.539 0 Td [(;)]TJ/F22 8.2889 Tf 217.045 0 Td [(\0503.3\051)]TJ ET 1 0 0 1 37.134 142.75 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -142.75 cm BT /F76 8.2889 Tf 37.134 124.373 Td [(where)]TJ/F154 9.5641 Tf 24.676 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(0)]TJ/F76 8.2889 Tf 5.93 1.435 Td [(is)-250(given)-250(by)]TJ ET 1 0 0 1 113.47 124.373 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -113.47 -124.373 cm BT /F22 8.2889 Tf 113.47 124.373 Td [(\0503.2\051)]TJ ET 1 0 0 1 131.142 124.373 cm 0 g 0 G 1 0 0 1 -131.142 -124.373 cm BT /F76 8.2889 Tf 131.142 124.373 Td [(,)-250(L)]TJ/F154 9.5641 Tf 10.539 0 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F76 8.2889 Tf 6.872 0 Td [(is)-250(sufficiently)-250(large)-250(and)]TJ/F154 9.5641 Tf 86.013 0 Td [(\017)-333(>)]TJ/F22 8.2889 Tf 17.479 0 Td [(0)]TJ/F76 8.2889 Tf 6.871 0 Td [(is)-250(sufficiently)-250(small.)]TJ ET 1 0 0 1 37.134 124.373 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -17.838 cm 0 g 0 G 1 0 0 1 -33.149 -106.535 cm BT /F123 8.2889 Tf 37.134 106.535 Td [(Proof.)]TJ ET 1 0 0 1 61.362 106.535 cm 0 g 0 G 1 0 0 1 -61.362 -106.535 cm BT /F22 8.2889 Tf 65.347 106.535 Td [(Notice)-250(that)]TJ ET 1 0 0 1 37.134 106.535 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -106.535 cm BT /F76 8.2889 Tf 61.044 89.396 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(\025)]TJ/F22 5.8022 Tf 5.232 3.95 Td [(2)]TJ 0 -6.522 Td [(0)]TJ/F150 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.315 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.434 Td [(0)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(g)]TJ/F154 9.5641 Tf 5.003 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ ET 1 0 0 1 37.134 89.396 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -89.396 cm BT /F22 8.2889 Tf 37.134 72.258 Td [(has)-250(exactly)-250(two)-250(positive)-250(real)-250(zeros)-250(0)]TJ/F150 9.5641 Tf 140.243 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.434 Td [(0)]TJ/F154 9.5641 Tf 6.514 1.434 Td [(<)-278(\025)]TJ/F150 6.6948 Tf 15.348 3.472 Td [(\003)]TJ/F22 8.2889 Tf 3.986 -3.472 Td [(,)-250(so)-250(we)-250(choose)]TJ/F154 9.5641 Tf 56.555 0 Td [(\017)-333(>)]TJ/F22 8.2889 Tf 17.479 0 Td [(0)-250(sufficiently)-250(small)-250(such)-250(that)]TJ ET 1 0 0 1 37.134 72.258 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -72.258 cm BT /F22 8.2889 Tf 61.044 52.441 Td [(0)]TJ/F154 9.5641 Tf 7.456 0 Td [(<)-278(\017)-333(<)-277(\025)]TJ/F22 5.8022 Tf 32.827 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(;)]TJ/F76 8.2889 Tf 21.337 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(0)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\017)-55(/)]TJ/F22 5.8022 Tf 8.273 3.95 Td [(2)]TJ/F150 9.5641 Tf 5.982 -3.95 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(0)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\017)-55(/)]TJ/F150 9.5641 Tf 10.399 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.34 0 Td [(0)]TJ/F154 9.5641 Tf 4.8 0 Td [(:)]TJ/F22 8.2889 Tf 201.129 0 Td [(\0503.4\051)]TJ ET 1 0 0 1 37.134 52.441 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -11.955 cm 0 g 0 G 1 0 0 1 466.251 0 cm 0 g 0 G endstream endobj 138 0 obj << /Type /XObject /Subtype /Form /FormType 1 /PTEX.FileName (./main.pdf) /PTEX.PageNumber 9 /PTEX.InfoDict 100 0 R /Matrix [ 1 0 0 1 0 0 ] /BBox [ 0 0 544.252 742.677 ] /Resources << /Font << /F150 97 0 R /F76 96 0 R /F22 92 0 R /F152 60 0 R /F123 93 0 R /F136 39 0 R /F154 59 0 R >> /ProcSet [ /PDF /Text ] >> /Length 36833 >> stream 1 0 0 1 40.867 702.503 cm 0 g 0 G 1 0 0 1 -40.867 -702.503 cm BT /F22 6.6311 Tf 40.867 702.503 Td [(240)]TJ/F76 6.6311 Tf 115.738 0 Td [(Z.)-250(Yuan,)-250(X.)-250(Zou)-250(/)-250(Nonlinear)-250(Analysis:)-333(Real)-250(World)-250(Applications)-250(11)-250(\0502010\051)-250(232\025245)]TJ ET 1 0 0 1 507.118 702.503 cm 0 g 0 G 1 0 0 1 -507.118 -702.503 cm BT /F22 8.2889 Tf 40.867 680.585 Td [(Thus,)-281(the)-280(sequence)-281(of)-280(compact)-281(operators)]TJ/F150 9.5641 Tf 159.026 0 Td [(f)]TJ/F76 8.2889 Tf 3.538 0 Td [(F)]TJ/F76 5.8022 Tf 5.044 3.472 Td [(n)]TJ/F150 9.5641 Tf 3.852 -3.472 Td [(g)]TJ/F150 6.6948 Tf 3.538 3.52 Td [(1)]TJ/F22 5.8022 Tf 0 -6.213 Td [(0)]TJ/F22 8.2889 Tf 9.66 2.693 Td [(converges)-281(to)]TJ/F76 8.2889 Tf 50.936 0 Td [(F)]TJ/F22 8.2889 Tf 7.37 0 Td [(in)]TJ/F154 9.2055 Tf 9.835 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.567 0 Td [(\010)]TJ ET q 1 0 0 1 304.8 679.046 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 312.478 680.585 Td [(;)]TJ ET q 1 0 0 1 317.237 688.201 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 317.237 680.585 Td [(\010)]TJ/F154 9.5641 Tf 7.678 0 Td [(/)]TJ/F22 8.2889 Tf 5.893 0 Td [(with)-281(respect)-280(to)-281(the)-280(norm)]TJ/F150 9.5641 Tf 98.255 0 Td [(j)-249(\001)-250(j)]TJ/F154 6.6948 Tf 12.9 -1.434 Td [(\026)]TJ/F22 8.2889 Tf 5.091 1.434 Td [(.)-281(By)-280(Proposition)]TJ ET 1 0 0 1 40.867 680.585 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -680.585 cm BT /F22 8.2889 Tf 40.867 670.125 Td [(2.1)-250(in)-250([)]TJ ET 1 0 0 1 67.059 670.125 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -67.059 -670.125 cm BT /F22 8.2889 Tf 67.059 670.125 Td [(29)]TJ ET 1 0 0 1 76.658 670.125 cm 0 g 0 G 1 0 0 1 -76.658 -670.125 cm BT /F22 8.2889 Tf 76.658 670.125 Td [(],)-250(we)-250(conclude)-250(that)]TJ/F76 8.2889 Tf 74.616 0 Td [(F)]TJ/F22 8.2889 Tf 7.116 0 Td [(is)-250(also)-250(compact.)]TJ/F136 7.9701 Tf 72.544 0 Td [(\003)]TJ ET 1 0 0 1 40.867 670.125 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -21.011 cm 0 g 0 G 1 0 0 1 -36.882 -649.114 cm BT /F123 8.2889 Tf 40.867 649.114 Td [(Lemma)-250(8.)]TJ ET 1 0 0 1 79.575 649.114 cm 0 g 0 G 1 0 0 1 -79.575 -649.114 cm BT /F76 8.2889 Tf 83.561 649.114 Td [(Assume)-339(that)]TJ ET q 1 0 0 1 132.575 656.966 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 132.575 649.114 Td [(\036)-50(;)]TJ ET q 1 0 0 1 143.331 656.966 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 143.331 649.114 Td [(\040)]TJ/F76 8.2889 Tf 7.594 0 Td [(,)]TJ/F154 9.5641 Tf 4.691 0 Td [(\036)]TJ ET q 1 0 0 1 155.616 645.728 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F76 8.2889 Tf 164.422 649.114 Td [(and)]TJ/F154 9.5641 Tf 16.626 0 Td [(\040)]TJ ET q 1 0 0 1 181.048 645.671 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F76 8.2889 Tf 191.451 649.114 Td [(satisfy)-339(properties)]TJ/F154 9.5641 Tf 65.795 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(P1)]TJ/F154 9.5641 Tf 9.474 0 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(\025)]TJ/F154 9.5641 Tf 4.799 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(P3)]TJ/F154 9.5641 Tf 9.474 0 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(,)-339(then)]TJ ET 1 0 0 1 319.142 649.114 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -319.142 -649.114 cm BT /F22 8.2889 Tf 319.142 649.114 Td [(\0502.1\051)]TJ ET 1 0 0 1 336.814 649.114 cm 0 g 0 G 1 0 0 1 -336.814 -649.114 cm BT /F76 8.2889 Tf 339.623 649.114 Td [(has)-339(a)-339(monotone)-339(solution)]TJ/F154 9.5641 Tf 94.414 0 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F76 8.2889 Tf 28.294 0 Td [(in)]TJ/F154 9.2055 Tf 9.971 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.567 0 Td [(\010)]TJ ET q 1 0 0 1 483.436 647.574 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 491.114 649.114 Td [(;)]TJ ET q 1 0 0 1 495.873 656.729 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 495.873 649.114 Td [(\010)]TJ/F154 9.5641 Tf 7.678 0 Td [(/)]TJ ET 1 0 0 1 40.867 649.114 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -649.114 cm BT /F76 8.2889 Tf 40.867 637.653 Td [(satisfying)]TJ ET 1 0 0 1 78.419 637.653 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -78.419 -637.653 cm BT /F22 8.2889 Tf 78.419 637.653 Td [(\0502.6\051)]TJ ET 1 0 0 1 96.091 637.653 cm 0 g 0 G 1 0 0 1 -96.091 -637.653 cm BT /F76 8.2889 Tf 96.091 637.653 Td [(.)]TJ ET 1 0 0 1 40.867 637.653 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -16.772 cm 0 g 0 G 1 0 0 1 -36.882 -620.881 cm BT /F123 8.2889 Tf 40.867 620.881 Td [(Proof.)]TJ ET 1 0 0 1 65.095 620.881 cm 0 g 0 G 1 0 0 1 -65.095 -620.881 cm BT /F22 8.2889 Tf 69.08 620.881 Td [(By)]TJ ET 1 0 0 1 81.349 620.881 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -81.349 -620.881 cm BT /F22 8.2889 Tf 81.349 620.881 Td [(Lemmas)-328(5\0257)]TJ ET 1 0 0 1 130.32 620.881 cm 0 g 0 G 1 0 0 1 -130.32 -620.881 cm BT /F22 8.2889 Tf 133.04 620.881 Td [(and)-328(the)-328(obvious)-328(fact)-329(that)-328(the)-328(set)]TJ/F154 9.2055 Tf 128.859 0 Td [(\000)]TJ/F154 9.5641 Tf 7.566 0 Td [(.)]TJ/F154 9.2055 Tf 3.568 0 Td [(\010)]TJ ET q 1 0 0 1 273.033 619.341 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 280.71 620.881 Td [(;)]TJ ET q 1 0 0 1 285.47 628.497 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 285.47 620.881 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(/)]TJ/F22 8.2889 Tf 6.288 0 Td [(is)-328(closed,)-328(bounded)-328(and)-329(convex)-328(in)-328(the)-328(space)]TJ/F76 8.2889 Tf 170.403 0 Td [(B)]TJ/F154 6.6948 Tf 4.767 -1.435 Td [(\026)]TJ/F154 9.5641 Tf 5.09 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.857 -3.472 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(,)]TJ ET 1 0 0 1 40.867 620.881 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -620.881 cm BT /F22 8.2889 Tf 40.867 608.91 Td [(Schauder's)-289(fixed)-289(point)-290(is)-289(applicable)-289(to)-289(the)-290(map)]TJ/F76 8.2889 Tf 181.99 0 Td [(F)]TJ/F22 8.2889 Tf 5.044 0 Td [(,)-289(implying)-290(that)]TJ/F76 8.2889 Tf 58.783 0 Td [(F)]TJ/F22 8.2889 Tf 7.442 0 Td [(has)-289(a)-289(fixed)-290(point)]TJ/F154 9.2055 Tf 66.294 0 Td [(\010)]TJ/F150 9.5641 Tf 11.169 0 Td [(D)]TJ/F154 9.5641 Tf 10.951 0 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F22 8.2889 Tf 27.883 0 Td [(in)]TJ/F154 9.2055 Tf 9.907 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.568 0 Td [(\010)]TJ ET q 1 0 0 1 431.465 607.37 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 439.142 608.91 Td [(;)]TJ ET q 1 0 0 1 443.902 616.525 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 443.902 608.91 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(.)-290(That)-289(is,)]TJ ET 1 0 0 1 489.446 608.91 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -489.446 -608.91 cm BT /F22 8.2889 Tf 489.446 608.91 Td [(\0502.1\051)]TJ ET 1 0 0 1 507.118 608.91 cm 0 g 0 G 1 0 0 1 -466.251 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -608.91 cm BT /F22 8.2889 Tf 40.867 597.438 Td [(has)-250(a)-250(solution)]TJ/F154 9.5641 Tf 54.681 0 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F22 8.2889 Tf 27.557 0 Td [(in)]TJ/F154 9.2055 Tf 9.582 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.568 0 Td [(\010)]TJ ET q 1 0 0 1 143.822 595.899 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 151.499 597.438 Td [(;)]TJ ET q 1 0 0 1 156.259 605.054 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 156.259 597.438 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(.)]TJ ET 1 0 0 1 40.867 597.438 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -597.438 cm BT /F22 8.2889 Tf 52.822 586.894 Td [(Also,)-250(we)-250(have)]TJ ET 1 0 0 1 40.867 586.894 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -586.894 cm BT /F22 8.2889 Tf 66.371 568.105 Td [(sup)]TJ/F76 5.8022 Tf 1.734 -7.9 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ ET q 1 0 0 1 81.6 575.957 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 81.6 568.105 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\036)]TJ/F150 6.6948 Tf 5.519 -1.435 Td [(\000)]TJ/F150 9.5641 Tf 8.376 1.435 Td [(D)56(V)]TJ/F22 8.2889 Tf 16.874 0 Td [(lim)]TJ/F76 5.8022 Tf -4.658 -5.738 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(!\0001)]TJ/F154 9.5641 Tf 21.009 5.738 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(;)]TJ/F76 8.2889 Tf 21.337 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.95 Td [(\003)]TJ/F150 9.5641 Tf 6.643 -3.95 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\036)]TJ/F150 6.6948 Tf 5.519 -1.435 Td [(C)]TJ/F150 9.5641 Tf 8.376 1.435 Td [(D)56(V)]TJ/F22 8.2889 Tf 14.263 0 Td [(lim)]TJ/F76 5.8022 Tf -2.047 -5.738 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(!1)]TJ/F154 9.5641 Tf 15.787 5.738 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F22 8.2889 Tf 9.868 0 Td [(inf)]TJ/F76 5.8022 Tf 0.051 -6.152 Td [(t)]TJ/F150 6.6948 Tf 2.551 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ/F154 9.5641 Tf 5.051 6.152 Td [(\036)]TJ ET q 1 0 0 1 341.131 564.719 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 347.128 568.105 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 130.309 0 Td [(\0502.14\051)]TJ ET 1 0 0 1 40.867 568.105 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -568.105 cm BT /F22 8.2889 Tf 40.867 545.493 Td [(and)]TJ ET 1 0 0 1 40.867 545.493 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -545.493 cm BT /F22 8.2889 Tf 64.777 527.773 Td [(0)]TJ/F150 9.5641 Tf 7.456 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\040)]TJ/F150 6.6948 Tf 6.733 -1.435 Td [(\000)]TJ/F150 9.5641 Tf 8.377 1.435 Td [(D)56(V)]TJ/F22 8.2889 Tf 16.873 0 Td [(lim)]TJ/F76 5.8022 Tf -4.658 -5.738 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(!\0001)]TJ/F154 9.5641 Tf 21.009 5.738 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F22 8.2889 Tf 9.868 0 Td [(inf)]TJ/F76 5.8022 Tf 0.052 -6.152 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ ET q 1 0 0 1 175.745 535.625 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 175.745 527.773 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F22 8.2889 Tf 24.904 0 Td [(sup)]TJ/F76 5.8022 Tf 1.735 -7.9 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ/F154 9.5641 Tf 6.734 7.9 Td [(\040)]TJ ET q 1 0 0 1 230.684 524.33 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 238.277 527.773 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\040)]TJ/F150 6.6948 Tf 6.733 -1.435 Td [(C)]TJ/F150 9.5641 Tf 8.377 1.435 Td [(D)56(V)]TJ/F22 8.2889 Tf 14.262 0 Td [(lim)]TJ/F76 5.8022 Tf -2.047 -5.738 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(!1)]TJ/F154 9.5641 Tf 15.787 5.738 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(v)]TJ/F150 6.6948 Tf 5.04 3.95 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.95 Td [(:)]TJ/F22 8.2889 Tf 137.482 0 Td [(\0502.15\051)]TJ ET 1 0 0 1 40.867 527.773 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -527.773 cm BT /F22 8.2889 Tf 40.867 505.161 Td [(Then)-250(by)-250(a)-250(similar)-250(argument)-250(as)-250(in)-250([)]TJ ET 1 0 0 1 170.38 505.161 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -170.38 -505.161 cm BT /F22 8.2889 Tf 170.38 505.161 Td [(15)]TJ ET 1 0 0 1 179.978 505.161 cm 0 g 0 G 1 0 0 1 -179.978 -505.161 cm BT /F22 8.2889 Tf 179.978 505.161 Td [(,)]TJ ET 1 0 0 1 181.918 505.161 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -181.918 -505.161 cm BT /F22 8.2889 Tf 181.918 505.161 Td [(27)]TJ ET 1 0 0 1 191.516 505.161 cm 0 g 0 G 1 0 0 1 -191.516 -505.161 cm BT /F22 8.2889 Tf 191.516 505.161 Td [(],)-250(we)-250(have)]TJ ET 1 0 0 1 40.867 505.161 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -505.161 cm BT /F154 9.5641 Tf 64.777 488.556 Td [(\036)]TJ/F150 6.6948 Tf 5.518 -1.435 Td [(C)]TJ/F76 8.2889 Tf 5.72 1.435 Td [(f)]TJ/F154 9.5641 Tf 4.166 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\036)]TJ/F150 6.6948 Tf 5.518 -1.435 Td [(C)]TJ/F150 9.5641 Tf 7.846 1.435 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\040)]TJ/F150 6.6948 Tf 6.733 -1.435 Td [(C)]TJ/F154 9.5641 Tf 5.72 1.435 Td [(/)]TJ/F150 9.5641 Tf 6.225 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)-1900(\040)]TJ/F150 6.6948 Tf 28.071 -1.435 Td [(C)]TJ/F76 8.2889 Tf 5.72 1.435 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.\036)]TJ/F150 6.6948 Tf 9.086 -1.435 Td [(C)]TJ/F150 9.5641 Tf 7.846 1.435 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\040)]TJ/F150 6.6948 Tf 6.733 -1.435 Td [(C)]TJ/F154 9.5641 Tf 5.72 1.435 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ ET 1 0 0 1 40.867 488.556 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -488.556 cm BT /F154 9.5641 Tf 64.777 475.106 Td [(\036)]TJ/F150 6.6948 Tf 5.518 -1.435 Td [(\000)]TJ/F76 8.2889 Tf 5.72 1.435 Td [(f)]TJ/F154 9.5641 Tf 4.166 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\036)]TJ/F150 6.6948 Tf 5.518 -1.435 Td [(\000)]TJ/F150 9.5641 Tf 7.846 1.435 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\040)]TJ/F150 6.6948 Tf 6.733 -1.435 Td [(\000)]TJ/F154 9.5641 Tf 5.72 1.435 Td [(/)]TJ/F150 9.5641 Tf 6.225 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)-1900(\040)]TJ/F150 6.6948 Tf 28.071 -1.435 Td [(\000)]TJ/F76 8.2889 Tf 5.72 1.435 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.\036)]TJ/F150 6.6948 Tf 9.086 -1.435 Td [(\000)]TJ/F150 9.5641 Tf 7.846 1.435 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\040)]TJ/F150 6.6948 Tf 6.733 -1.435 Td [(\000)]TJ/F154 9.5641 Tf 5.72 1.435 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(:)]TJ ET 1 0 0 1 40.867 475.106 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -475.106 cm BT /F22 8.2889 Tf 40.867 458.501 Td [(Therefore,)-250(it)-250(follows)-250(follows)-250(from)]TJ ET 1 0 0 1 170.139 458.501 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -170.139 -458.501 cm BT /F22 8.2889 Tf 170.139 458.501 Td [(\0502.14\051)]TJ ET 1 0 0 1 192.61 458.501 cm 0 g 0 G 1 0 0 1 -192.61 -458.501 cm BT /F22 8.2889 Tf 192.61 458.501 Td [(,)]TJ ET 1 0 0 1 196.622 458.501 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -196.622 -458.501 cm BT /F22 8.2889 Tf 196.622 458.501 Td [(\0502.15\051)]TJ ET 1 0 0 1 219.093 458.501 cm 0 g 0 G 1 0 0 1 -219.093 -458.501 cm BT /F22 8.2889 Tf 219.093 458.501 Td [(,)-250(and)-250(Property)-250(\050P3\051)-250(that)]TJ ET 1 0 0 1 40.867 458.501 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -458.501 cm BT /F154 9.5641 Tf 64.777 441.896 Td [(\036)]TJ/F150 6.6948 Tf 5.518 -1.435 Td [(\000)]TJ/F150 9.5641 Tf 8.377 1.435 Td [(D)]TJ/F22 8.2889 Tf 14.775 0 Td [(lim)]TJ/F76 5.8022 Tf -4.658 -5.739 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(!\0001)]TJ/F154 9.5641 Tf 21.009 5.739 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(;)-1900(\036)]TJ/F150 6.6948 Tf 26.856 -1.435 Td [(C)]TJ/F150 9.5641 Tf 8.376 1.435 Td [(D)]TJ/F22 8.2889 Tf 12.164 0 Td [(lim)]TJ/F76 5.8022 Tf -2.047 -5.739 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(!1)]TJ/F154 9.5641 Tf 15.787 5.739 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.95 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.95 Td [(;)]TJ ET 1 0 0 1 40.867 441.896 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -441.896 cm BT /F154 9.5641 Tf 64.777 423.477 Td [(\040)]TJ/F150 6.6948 Tf 6.733 -1.434 Td [(\000)]TJ/F150 9.5641 Tf 8.377 1.434 Td [(D)]TJ/F22 8.2889 Tf 14.775 0 Td [(lim)]TJ/F76 5.8022 Tf -4.659 -5.738 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(!\0001)]TJ/F154 9.5641 Tf 21.009 5.738 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F154 9.5641 Tf 4.8 0 Td [(;)-1900(\040)]TJ/F150 6.6948 Tf 28.07 -1.434 Td [(C)]TJ/F150 9.5641 Tf 8.377 1.434 Td [(D)]TJ/F22 8.2889 Tf 12.164 0 Td [(lim)]TJ/F76 5.8022 Tf -2.047 -5.738 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(!1)]TJ/F154 9.5641 Tf 15.787 5.738 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(v)]TJ/F150 6.6948 Tf 5.04 3.95 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.95 Td [(:)]TJ ET 1 0 0 1 40.867 423.477 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -423.477 cm BT /F22 8.2889 Tf 52.822 400.621 Td [(Thus)]TJ/F154 9.5641 Tf 20.59 0 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F22 8.2889 Tf 27.749 0 Td [(is)-273(a)-273(monotone)-273(solution)-273(of)]TJ ET 1 0 0 1 200.855 400.621 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -200.855 -400.621 cm BT /F22 8.2889 Tf 200.855 400.621 Td [(\0502.1\051)]TJ ET 1 0 0 1 218.527 400.621 cm 0 g 0 G 1 0 0 1 -218.527 -400.621 cm BT /F22 8.2889 Tf 220.791 400.621 Td [(satisfying)]TJ ET 1 0 0 1 259.625 400.621 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -259.625 -400.621 cm BT /F22 8.2889 Tf 259.625 400.621 Td [(\0502.6\051)]TJ ET 1 0 0 1 277.297 400.621 cm 0 g 0 G 1 0 0 1 -277.297 -400.621 cm BT /F22 8.2889 Tf 279.561 400.621 Td [(in)]TJ/F154 9.2055 Tf 9.773 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.567 0 Td [(\010)]TJ ET q 1 0 0 1 300.468 399.081 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 308.146 400.621 Td [(;)]TJ ET q 1 0 0 1 312.905 408.236 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 312.905 400.621 Td [(\010)]TJ/F154 9.5641 Tf 7.678 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(,)-273(giving)-273(a)-273(the)-273(profile)-274(of)-273(a)-273(co-invasion)-273(wave)-273(front)]TJ ET 1 0 0 1 40.867 400.621 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -400.621 cm BT /F22 8.2889 Tf 40.867 390.16 Td [(of)]TJ ET 1 0 0 1 50.399 390.16 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -50.399 -390.16 cm BT /F22 8.2889 Tf 50.399 390.16 Td [(\0501.5\051)]TJ ET 1 0 0 1 68.07 390.16 cm 0 g 0 G 1 0 0 1 -68.07 -390.16 cm BT /F22 8.2889 Tf 68.07 390.16 Td [(.)-250(This)-250(completes)-250(the)-250(proof.)]TJ/F136 7.9701 Tf 112.737 0 Td [(\003)]TJ ET 1 0 0 1 40.867 390.16 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -390.16 cm BT /F123 8.2889 Tf 40.867 366.408 Td [(3.)-500(The)-250(existence)-250(of)-250(wave)-250(fronts)]TJ ET 1 0 0 1 40.867 366.408 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -366.408 cm BT /F22 8.2889 Tf 52.822 345.153 Td [(From)-302(the)-301(results)-302(in)-302(Section)]TJ ET 1 0 0 1 159.006 345.153 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -159.006 -345.153 cm BT /F22 8.2889 Tf 159.006 345.153 Td [(2)]TJ ET 1 0 0 1 163.805 345.153 cm 0 g 0 G 1 0 0 1 -163.805 -345.153 cm BT /F22 8.2889 Tf 163.805 345.153 Td [(,)-302(we)-301(see)-302(that)-302(if)-302(we)-301(can)-302(find)-302(a)-301(pair)-302(of)-302(desirable)-301(functions)]TJ/F154 9.2055 Tf 216.489 0 Td [(\010)]TJ ET q 1 0 0 1 380.294 343.613 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F150 9.5641 Tf 391.727 345.153 Td [(2)]TJ/F154 9.2055 Tf 9.771 0 Td [(\003)]TJ/F150 6.6948 Tf 7.327 3.472 Td [(\000)]TJ/F22 8.2889 Tf 8.221 -3.472 Td [(and)]TJ ET q 1 0 0 1 433.795 352.768 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 433.795 345.153 Td [(\010)]TJ/F150 9.5641 Tf 11.433 0 Td [(2)]TJ/F154 9.2055 Tf 9.771 0 Td [(\003)]TJ/F150 6.6948 Tf 7.328 3.472 Td [(C)]TJ/F22 8.2889 Tf 8.221 -3.472 Td [(satisfying)]TJ ET 1 0 0 1 40.867 345.153 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -345.153 cm BT /F22 8.2889 Tf 40.867 334.692 Td [(\050P1\051\025\050P3\051,)-219(then)-220(we)-219(can)-220(claim)-219(that)-220(there)-219(exists)-220(a)-219(traveling)-220(wave)-219(front)-219(for)]TJ ET 1 0 0 1 311.805 334.692 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -311.805 -334.692 cm BT /F22 8.2889 Tf 311.805 334.692 Td [(\0501.5\051)]TJ ET 1 0 0 1 329.477 334.692 cm 0 g 0 G 1 0 0 1 -329.477 -334.692 cm BT /F22 8.2889 Tf 331.296 334.692 Td [(connecting)-219(pioneer-invasion-only)-220(equilibrium)]TJ ET 1 0 0 1 40.867 334.692 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -334.692 cm BT /F154 9.5641 Tf 40.867 324.231 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(/)]TJ/F22 8.2889 Tf 6.402 0 Td [(and)-342(the)-342(co-invasion)-342(equilibrium)]TJ/F154 9.5641 Tf 127.338 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.472 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.472 Td [(;)-167(v)]TJ/F150 6.6948 Tf 9.8 3.472 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.472 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(.)-342(In)-342(this)-342(section,)-342(we)-342(construct)-342(such)-342(a)-342(pair)-342(of)-342(functions)-342(within)-342(certain)]TJ ET 1 0 0 1 40.867 324.231 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -324.231 cm BT /F22 8.2889 Tf 40.867 313.771 Td [(range)-250(of)-250(parameters,)-250(via)-250(the)-250(following)-250(lemmas.)]TJ ET 1 0 0 1 40.867 313.771 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -21.095 cm 0 g 0 G 1 0 0 1 -36.882 -292.676 cm BT /F123 8.2889 Tf 40.867 292.676 Td [(Lemma)-250(9.)]TJ ET 1 0 0 1 79.575 292.676 cm 0 g 0 G 1 0 0 1 -79.575 -292.676 cm BT /F76 8.2889 Tf 83.561 292.676 Td [(Suppose)-250(d)]TJ/F22 5.8022 Tf 36.528 -1.435 Td [(2)]TJ/F150 9.5641 Tf 6.515 1.435 Td [(\025)]TJ/F76 8.2889 Tf 9.868 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(=)]TJ/F22 8.2889 Tf 4.495 0 Td [(2)]TJ/F76 8.2889 Tf 6.871 0 Td [(and)-250(c)]TJ/F150 9.5641 Tf 22.861 0 Td [(\025)]TJ/F22 8.2889 Tf 9.868 0 Td [(2)]TJ/F150 9.5641 Tf 4.799 7.152 Td [(p)]TJ ET q 1 0 0 1 201.924 300.052 cm []0 d 0 J 0.45 w 0 0 m 43.616 0 l S Q BT /F76 8.2889 Tf 201.924 292.676 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(2)]TJ/F76 8.2889 Tf 3.858 1.435 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.496 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(.)-250(Define)]TJ ET 1 0 0 1 40.867 292.676 cm 0 g 0 G 0 g 0 G q 1 0 0 1 23.91 -19.216 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q 1 0 0 1 -40.867 -292.676 cm BT /F154 9.5641 Tf 64.777 267.712 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.143 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.143 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(max)]TJ/F152 9.5641 Tf 18.171 13.428 Td [(\032)]TJ/F76 8.2889 Tf 8.795 -6.724 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ ET q 1 0 0 1 123.25 270.103 cm []0 d 0 J 0.44 w 0 0 m 10.947 0 l S Q BT /F76 8.2889 Tf 123.25 260.921 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F150 9.5641 Tf 10.537 8.225 Td [(\000)]TJ/F22 8.2889 Tf 9.586 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(;)]TJ/F76 8.2889 Tf 4.759 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.95 Td [(\003)]TJ/F152 9.5641 Tf 3.987 9.478 Td [(\033)]TJ/F154 9.5641 Tf 7.504 -13.428 Td [(;)]TJ ET q 1 0 0 1 203.93 273.46 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 203.93 267.712 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.143 Td [(2)]TJ/F154 9.5641 Tf 3.857 2.143 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(min)]TJ/F150 9.5641 Tf 15.194 0 Td [(f)]TJ/F76 8.2889 Tf 3.539 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F22 8.2889 Tf 7.217 1.435 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.377 1.353 Td [(t)]TJ/F154 9.5641 Tf 3.049 -3.95 Td [(;)-167(v)]TJ/F150 6.6948 Tf 9.8 3.95 Td [(\003)]TJ/F150 9.5641 Tf 3.986 -3.95 Td [(g)]TJ/F154 9.5641 Tf 3.538 0 Td [(;)]TJ/F22 8.2889 Tf 190.87 0 Td [(\0503.1\051)]TJ ET 1 0 0 1 40.867 267.712 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -267.712 cm BT /F76 8.2889 Tf 40.867 245.125 Td [(where)]TJ ET 1 0 0 1 40.867 245.125 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -245.125 cm BT /F154 9.5641 Tf 64.777 220.012 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(0)]TJ/F150 9.5641 Tf 6.515 1.435 Td [(D)56(V)]TJ/F76 8.2889 Tf 13.411 6.704 Td [(c)]TJ/F150 9.5641 Tf 6.439 0 Td [(\000)]TJ/F152 9.5641 Tf 9.586 8.436 Td [(p)]TJ ET q 1 0 0 1 113.887 235.344 cm []0 d 0 J 0.383 w 0 0 m 68.298 0 l S Q BT /F76 8.2889 Tf 113.887 226.716 Td [(c)]TJ/F22 5.8022 Tf 4.315 2.765 Td [(2)]TJ/F150 9.5641 Tf 5.983 -2.765 Td [(\000)]TJ/F22 8.2889 Tf 9.585 0 Td [(4)]TJ/F76 8.2889 Tf 4.799 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F76 8.2889 Tf 3.857 1.435 Td [(g)]TJ/F154 9.5641 Tf 5.003 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(/)]TJ ET q 1 0 0 1 89.934 222.403 cm []0 d 0 J 0.44 w 0 0 m 92.252 0 l S Q BT /F22 8.2889 Tf 129.427 213.222 Td [(2)]TJ/F76 8.2889 Tf 4.799 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ/F154 9.5641 Tf 44.546 8.225 Td [(:)]TJ/F22 8.2889 Tf 306.065 0 Td [(\0503.2\051)]TJ ET 1 0 0 1 40.867 220.012 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -220.012 cm BT /F76 8.2889 Tf 40.867 198.286 Td [(Then)]TJ ET 1 0 0 1 40.867 198.286 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -198.286 cm BT /F154 9.5641 Tf 64.777 180.274 Td [(.)]TJ ET q 1 0 0 1 68.344 188.126 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 68.344 180.274 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ ET q 1 0 0 1 89.878 188.126 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 89.878 180.274 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F154 6.4438 Tf 10.931 5.481 Td [(1)]TJ/F150 9.5641 Tf -1.14 -5.481 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(F)]TJ/F154 9.5641 Tf 5.044 0 Td [(.)]TJ ET q 1 0 0 1 133.202 186.022 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 133.202 180.274 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ ET q 1 0 0 1 158.383 186.022 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 158.383 180.274 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.792 0 Td [(2)]TJ/F154 9.2055 Tf 8.672 0 Td [(\003)]TJ/F150 6.6948 Tf 7.328 3.95 Td [(C)]TJ/F154 9.5641 Tf 5.72 -3.95 Td [(:)]TJ ET 1 0 0 1 40.867 180.274 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -22.916 cm 0 g 0 G 1 0 0 1 -36.882 -157.358 cm BT /F123 8.2889 Tf 40.867 157.358 Td [(Proof.)]TJ ET 1 0 0 1 65.095 157.358 cm 0 g 0 G 1 0 0 1 -65.095 -157.358 cm BT /F22 8.2889 Tf 69.08 157.358 Td [(Let)]TJ/F76 8.2889 Tf 13.66 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(11)]TJ/F22 8.2889 Tf 9.289 1.435 Td [(and)]TJ/F76 8.2889 Tf 16.321 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(12)]TJ/F22 8.2889 Tf 9.29 1.435 Td [(be)-250(such)-250(that)]TJ ET 1 0 0 1 40.867 157.358 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -157.358 cm BT /F76 8.2889 Tf 67.66 144.209 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ ET q 1 0 0 1 65.972 139.895 cm []0 d 0 J 0.44 w 0 0 m 10.947 0 l S Q BT /F76 8.2889 Tf 65.972 130.714 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F150 9.5641 Tf 10.538 8.225 Td [(\000)]TJ/F22 8.2889 Tf 9.586 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.377 1.353 Td [(t)]TJ/F22 4.9734 Tf 2.054 -1.353 Td [(11)]TJ/F150 9.5641 Tf 9.412 -2.597 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.95 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.95 Td [(;)]TJ/F76 8.2889 Tf 21.337 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F22 8.2889 Tf 7.217 1.434 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F22 4.9734 Tf 2.054 -1.353 Td [(12)]TJ/F150 9.5641 Tf 9.412 -2.597 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(v)]TJ/F150 6.6948 Tf 5.04 3.95 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.95 Td [(:)]TJ ET 1 0 0 1 40.867 137.504 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -137.504 cm BT /F22 8.2889 Tf 40.867 111.342 Td [(Notice)-250(that)]TJ/F76 8.2889 Tf 44.361 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.471 Td [(\003)]TJ/F150 9.5641 Tf 6.112 -3.471 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(v)]TJ/F150 6.6948 Tf 5.04 3.471 Td [(\003)]TJ/F150 9.5641 Tf 6.643 -3.471 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F22 8.2889 Tf 3.858 1.435 Td [(,)-250(we)-250(solve)-250(that)]TJ/F76 8.2889 Tf 56.936 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(11)]TJ/F150 9.5641 Tf 9.874 1.435 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.435 Td [(12)]TJ/F154 6.4438 Tf 11.013 6.916 Td [(1)]TJ/F150 9.5641 Tf -1.14 -5.481 Td [(D)]TJ/F22 5.8022 Tf 13.153 3.864 Td [(1)]TJ ET q 1 0 0 1 250.015 113.733 cm []0 d 0 J 0.44 w 0 0 m 7.04 0 l S Q BT /F154 6.6948 Tf 250.015 107.946 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F22 8.2889 Tf 6.167 4.749 Td [(ln)]TJ/F154 6.6948 Tf 11.217 3.864 Td [(v)]TJ/F150 5.7385 Tf 3.528 2.43 Td [(\003)]TJ ET q 1 0 0 1 270.135 113.733 cm []0 d 0 J 0.44 w 0 0 m 8.868 0 l S Q BT /F76 5.8022 Tf 270.135 107.946 Td [(c)]TJ/F22 4.9734 Tf 2.611 -1.353 Td [(11)]TJ/F22 8.2889 Tf 7.453 4.749 Td [(.)-250(Using)]TJ/F76 8.2889 Tf 27.726 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(2)]TJ/F150 9.5641 Tf 6.515 1.435 Td [(\025)]TJ/F76 8.2889 Tf 9.868 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(=)]TJ/F22 8.2889 Tf 4.495 0 Td [(2,)-250(we)-250(have)]TJ ET 1 0 0 1 40.867 111.342 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -111.342 cm BT /F76 8.2889 Tf 64.777 85.54 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ ET q 1 0 0 1 73.243 91.288 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 73.243 85.54 Td [(\032)]TJ/F150 6.6948 Tf 5.786 3.95 Td [(00)]TJ/F22 5.8022 Tf 0 -6.523 Td [(1)]TJ/F154 9.5641 Tf 4.114 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ ET q 1 0 0 1 109.945 91.288 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 109.945 85.54 Td [(\032)]TJ/F150 6.6948 Tf 5.787 3.95 Td [(0)]TJ/F22 5.8022 Tf 0 -6.523 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ ET q 1 0 0 1 142.078 91.288 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 142.078 85.54 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ ET q 1 0 0 1 181.179 91.288 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 181.179 85.54 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ ET q 1 0 0 1 213.311 91.288 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 213.311 85.54 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 12.116 0 Td [(D)]TJ/F22 8.2889 Tf 12.442 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.377 1.353 Td [(t)]TJ/F154 9.5641 Tf 3.049 -3.95 Td [(.)]TJ/F150 9.5641 Tf 3.567 0 Td [(\000)]TJ/F76 8.2889 Tf 7.46 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(\025)]TJ/F22 5.8022 Tf 5.232 3.95 Td [(2)]TJ 0 -6.523 Td [(0)]TJ/F150 9.5641 Tf 5.983 2.573 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F152 9.5641 Tf 9.585 13.428 Td [(\022)]TJ/F76 8.2889 Tf 9.34 -6.724 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ ET q 1 0 0 1 345.797 87.931 cm []0 d 0 J 0.44 w 0 0 m 10.947 0 l S Q BT /F76 8.2889 Tf 345.797 78.749 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F150 9.5641 Tf 10.538 8.225 Td [(\000)]TJ/F22 8.2889 Tf 9.585 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F152 9.5641 Tf 3.048 9.478 Td [(\023)]TJ/F76 8.2889 Tf 8.05 -13.428 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F150 9.5641 Tf -165.17 -18.451 Td [(D)]TJ/F154 9.5641 Tf 12.442 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.434 Td [(0)]TJ/F22 8.2889 Tf 3.858 1.434 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(0)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F154 9.5641 Tf 3.048 -3.95 Td [(.)]TJ/F150 9.5641 Tf 3.567 0 Td [(\000)]TJ/F76 8.2889 Tf 7.46 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.434 Td [(0)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(/)]TJ/F150 9.5641 Tf 6.225 0 Td [(\025)]TJ/F22 8.2889 Tf 9.868 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F76 8.2889 Tf 13.048 0 Td [(t)]TJ/F154 9.5641 Tf 6.3 0 Td [(<)]TJ/F76 8.2889 Tf 10.117 0 Td [(t)]TJ/F22 5.8022 Tf 2.934 -1.434 Td [(0)]TJ/F150 9.5641 Tf 3.857 1.434 Td [(I)]TJ ET 1 0 0 1 40.867 67.089 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -67.089 cm BT /F76 8.2889 Tf 64.777 52.441 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ ET q 1 0 0 1 73.243 58.189 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 73.243 52.441 Td [(\032)]TJ/F150 6.6948 Tf 5.786 3.95 Td [(00)]TJ/F22 5.8022 Tf 0 -6.523 Td [(1)]TJ/F154 9.5641 Tf 4.114 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ ET q 1 0 0 1 109.945 58.189 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 109.945 52.441 Td [(\032)]TJ/F150 6.6948 Tf 5.787 3.95 Td [(0)]TJ/F22 5.8022 Tf 0 -6.523 Td [(1)]TJ/F154 9.5641 Tf 3.857 2.573 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ ET q 1 0 0 1 142.078 58.189 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 142.078 52.441 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ ET q 1 0 0 1 181.179 58.189 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 181.179 52.441 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(1)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ ET q 1 0 0 1 213.311 58.189 cm []0 d 0 J 0.44 w 0 0 m 5.786 0 l S Q BT /F154 9.5641 Tf 213.311 52.441 Td [(\032)]TJ/F22 5.8022 Tf 5.786 -2.142 Td [(2)]TJ/F154 9.5641 Tf 3.858 2.142 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.792 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F154 9.5641 Tf 4.8 0 Td [(;)]TJ/F76 8.2889 Tf 13.048 0 Td [(t)]TJ/F154 9.5641 Tf 6.3 0 Td [(>)]TJ/F76 8.2889 Tf 10.116 0 Td [(t)]TJ/F22 5.8022 Tf 2.935 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)]TJ ET 1 0 0 1 40.867 52.441 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -11.955 cm 0 g 0 G 1 0 0 1 466.251 0 cm 0 g 0 G endstream endobj 139 0 obj << /Type /XObject /Subtype /Form /FormType 1 /PTEX.FileName (./main.pdf) /PTEX.PageNumber 8 /PTEX.InfoDict 100 0 R /Matrix [ 1 0 0 1 0 0 ] /BBox [ 0 0 544.252 742.677 ] /Resources << /Font << /F150 97 0 R /F22 92 0 R /F76 96 0 R /F123 93 0 R /F136 39 0 R /F152 60 0 R /F154 59 0 R >> /ProcSet [ /PDF /Text ] >> /Length 43215 >> stream 1 0 0 1 37.134 702.503 cm 0 g 0 G 1 0 0 1 -37.134 -702.503 cm BT /F76 6.6311 Tf 152.872 702.503 Td [(Z.)-250(Yuan,)-250(X.)-250(Zou)-250(/)-250(Nonlinear)-250(Analysis:)-333(Real)-250(World)-250(Applications)-250(11)-250(\0502010\051)-250(232\025245)]TJ/F22 6.6311 Tf 338.995 0 Td [(239)]TJ ET 1 0 0 1 503.385 702.503 cm 0 g 0 G 1 0 0 1 -503.385 -702.503 cm BT /F150 9.5641 Tf 108.68 676.263 Td [(\025)]TJ/F22 8.2889 Tf 32.488 6.704 Td [(1)]TJ ET q 1 0 0 1 120.822 678.654 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 120.822 669.472 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.219 Td [(\024)]TJ 5.212 -0.411 Td [(Z)]TJ/F76 5.8022 Tf 9.43 -2.585 Td [(t)]TJ/F150 6.6948 Tf -4.38 -19.002 Td [(\0001)]TJ/F22 8.2889 Tf 14.15 8.57 Td [(e)]TJ/F154 6.6948 Tf 4.359 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.663 -1.353 Td [(1)]TJ/F154 6.6948 Tf 3.377 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.368 0 Td [(/)]TJ/F150 9.5641 Tf 5.12 -3.95 Td [(C)]TJ/F152 9.5641 Tf 9.586 13.017 Td [(Z)]TJ/F150 6.6948 Tf 9.43 -2.585 Td [(1)]TJ/F76 5.8022 Tf -4.381 -19.002 Td [(t)]TJ/F22 8.2889 Tf 13.308 8.57 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(2)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F152 9.5641 Tf 2.996 9.478 Td [(\025)]TJ/F154 9.5641 Tf 6.806 -13.428 Td [(.\014)]TJ/F22 5.8022 Tf 8.962 -1.435 Td [(1)]TJ ET q 1 0 0 1 297.27 684.115 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 297.27 676.263 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ ET q 1 0 0 1 329.809 684.115 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 329.809 676.263 Td [(\036)]TJ/F150 6.6948 Tf 5.996 5.928 Td [(0)]TJ/F154 9.5641 Tf 2.306 -5.928 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ ET q 1 0 0 1 368.805 684.115 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 368.805 676.263 Td [(\036)]TJ/F150 6.6948 Tf 5.996 5.928 Td [(00)]TJ/F154 9.5641 Tf 4.114 -5.928 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(//)]TJ/F22 8.2889 Tf 7.135 0 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 37.134 676.263 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -676.263 cm BT /F150 9.5641 Tf 108.68 654.641 Td [(D)]TJ ET q 1 0 0 1 119.627 662.493 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 119.627 654.641 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf 16.616 0 Td [(t)]TJ/F150 9.5641 Tf 6.299 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(:)]TJ ET 1 0 0 1 37.134 654.641 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -654.641 cm BT /F22 8.2889 Tf 37.134 638.787 Td [(In)-269(a)-269(similar)-268(way,)-269(we)-269(can)-269(prove)-268(that)]TJ/F76 8.2889 Tf 136.305 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ ET q 1 0 0 1 184.892 635.402 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 190.889 638.787 Td [(;)-167(\040)]TJ ET q 1 0 0 1 195.648 635.344 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 203.242 638.787 Td [(/)]TJ/F150 9.5641 Tf 6.624 0 Td [(\024)]TJ/F154 9.5641 Tf 10.267 0 Td [(\036)]TJ ET q 1 0 0 1 220.133 635.402 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F22 8.2889 Tf 226.13 638.787 Td [(,)]TJ/F154 9.5641 Tf 4.168 0 Td [(\040)]TJ ET q 1 0 0 1 230.298 635.344 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F150 9.5641 Tf 240.948 638.787 Td [(\024)]TJ/F76 8.2889 Tf 10.267 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ ET q 1 0 0 1 262.668 635.402 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 268.665 638.787 Td [(;)-167(\040)]TJ ET q 1 0 0 1 273.425 635.344 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 281.019 638.787 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(,)-269(and)]TJ/F76 8.2889 Tf 20.644 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ ET q 1 0 0 1 316.684 646.639 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 316.684 638.787 Td [(\036)-50(;)]TJ ET q 1 0 0 1 327.44 646.639 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 327.44 638.787 Td [(\040)-90(/)]TJ/F150 9.5641 Tf 14.217 0 Td [(\024)]TJ ET q 1 0 0 1 351.925 646.639 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 351.925 638.787 Td [(\040)]TJ/F22 8.2889 Tf 7.594 0 Td [(.)-269(On)-269(the)-268(other)-269(hand,)]TJ ET 1 0 0 1 437.824 638.787 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -437.824 -638.787 cm BT /F22 8.2889 Tf 437.824 638.787 Td [(Lemma)-269(4)]TJ ET 1 0 0 1 473.009 638.787 cm 0 g 0 G 1 0 0 1 -473.009 -638.787 cm BT /F22 8.2889 Tf 475.237 638.787 Td [(implies)]TJ ET 1 0 0 1 37.134 638.787 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -638.787 cm BT /F22 8.2889 Tf 37.134 627.117 Td [(that)]TJ/F76 8.2889 Tf 18.047 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 6.115 0 Td [(is)-307(nonincreasing)-307(and)]TJ/F76 8.2889 Tf 82.049 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 6.115 0 Td [(is)-307(nondecreasing)-307(in)]TJ/F76 8.2889 Tf 77.092 0 Td [(R)]TJ/F22 8.2889 Tf 7.413 0 Td [(verifying)-307(conditions)-307(\050ii\051)-308(and)-307(\050iii\051)-307(for)]TJ/F76 8.2889 Tf 139.224 0 Td [(F)]TJ/F154 9.5641 Tf 5.044 0 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F22 8.2889 Tf 25.485 0 Td [(.)-308(The)]TJ ET 1 0 0 1 37.134 627.117 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -627.117 cm BT /F22 8.2889 Tf 37.134 616.657 Td [(proof)-250(is)-250(complete.)]TJ/F136 7.9701 Tf 80.824 0 Td [(\003)]TJ ET 1 0 0 1 37.134 616.657 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -18.923 cm 0 g 0 G 1 0 0 1 -33.149 -597.734 cm BT /F123 8.2889 Tf 37.134 597.734 Td [(Lemma)-250(7.)]TJ ET 1 0 0 1 75.843 597.734 cm 0 g 0 G 1 0 0 1 -75.843 -597.734 cm BT /F76 8.2889 Tf 79.828 597.734 Td [(For)-250(sufficiently)-250(large)]TJ/F154 9.5641 Tf 76.108 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ/F154 9.5641 Tf 6.514 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F76 8.2889 Tf 6.871 0 Td [(and)]TJ/F154 9.5641 Tf 15.89 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(2)]TJ/F154 9.5641 Tf 6.515 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F76 8.2889 Tf 4.799 0 Td [(,)-250(F)]TJ/F150 9.5641 Tf 11.655 0 Td [(V)]TJ/F154 9.2055 Tf 5.286 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.568 0 Td [(\010)]TJ ET q 1 0 0 1 255.622 596.194 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 263.299 597.734 Td [(;)]TJ ET q 1 0 0 1 268.059 605.349 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 268.059 597.734 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(!)]TJ/F154 9.2055 Tf 13.168 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.567 0 Td [(\010)]TJ ET q 1 0 0 1 306.262 596.194 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 313.939 597.734 Td [(;)]TJ ET q 1 0 0 1 318.699 605.349 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 318.699 597.734 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(/)]TJ/F76 8.2889 Tf 5.64 0 Td [(is)-250(compact.)]TJ ET 1 0 0 1 37.134 597.734 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -15.694 cm 0 g 0 G 1 0 0 1 -33.149 -582.04 cm BT /F123 8.2889 Tf 37.134 582.04 Td [(Proof.)]TJ ET 1 0 0 1 61.362 582.04 cm 0 g 0 G 1 0 0 1 -61.362 -582.04 cm BT /F22 8.2889 Tf 65.347 582.04 Td [(We)-250(first)-250(establish)-250(an)-250(estimate)-250(for)]TJ/F76 8.2889 Tf 128.03 0 Td [(F)]TJ/F22 8.2889 Tf 5.043 0 Td [(.)-250(For)-250(any)]TJ/F154 9.5641 Tf 34.341 0 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 28.142 0 Td [(2)]TJ/F154 9.2055 Tf 8.672 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.568 0 Td [(\010)]TJ ET q 1 0 0 1 280.71 580.5 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 288.387 582.04 Td [(;)]TJ ET q 1 0 0 1 293.147 589.655 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 293.147 582.04 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(,)]TJ ET 1 0 0 1 37.134 582.04 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -582.04 cm BT /F154 9.5641 Tf 61.044 558.856 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(//)]TJ/F150 6.6948 Tf 29.052 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 7.054 0 Td [(D)]TJ/F154 9.5641 Tf 23.119 6.705 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F22 8.2889 Tf 3.857 1.435 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.471 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ ET q 1 0 0 1 130.263 561.247 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 130.263 552.066 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F152 9.5641 Tf 6.357 19.807 Td [(Z)]TJ/F76 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F150 6.6948 Tf -4.38 -19.002 Td [(\0001)]TJ/F22 8.2889 Tf 14.15 8.569 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F76 5.8022 Tf 3.377 1.353 Td [(s)]TJ/F76 8.2889 Tf 2.866 -3.95 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F76 8.2889 Tf 4.931 0 Td [(s)]TJ/F150 9.5641 Tf 5.508 0 Td [(C)]TJ/F154 9.5641 Tf 21.757 6.705 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(2)]TJ/F22 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.471 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(2)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ ET q 1 0 0 1 284.234 561.247 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 284.234 552.066 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.982 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F152 9.5641 Tf 6.357 19.807 Td [(Z)]TJ/F150 6.6948 Tf 9.43 -2.584 Td [(1)]TJ/F76 5.8022 Tf -4.38 -19.002 Td [(t)]TJ/F22 8.2889 Tf 13.308 8.569 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(2)]TJ/F76 5.8022 Tf 3.377 1.353 Td [(s)]TJ/F76 8.2889 Tf 2.866 -3.95 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F76 8.2889 Tf 4.931 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(:)]TJ ET 1 0 0 1 37.134 558.856 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -558.856 cm BT /F22 8.2889 Tf 37.134 536.981 Td [(Thus,)]TJ ET 1 0 0 1 37.134 536.981 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -536.981 cm BT /F150 9.5641 Tf 61.044 514.853 Td [(j)]TJ/F154 9.5641 Tf 2.736 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(//)]TJ/F150 6.6948 Tf 29.052 3.95 Td [(0)]TJ/F150 9.5641 Tf 2.306 -3.95 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.434 Td [(\026)]TJ/F150 9.5641 Tf 8.578 1.434 Td [(\024)]TJ/F22 8.2889 Tf 10.698 0 Td [(sup)]TJ/F76 5.8022 Tf 1.734 -7.9 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.212 0 Td [(R)]TJ/F152 9.5641 Tf 6.733 21.328 Td [(\024)]TJ/F22 8.2889 Tf 5.213 -13.428 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.592 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ/F150 9.5641 Tf 11.85 2.755 Td [(j)]TJ/F154 9.5641 Tf 2.735 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F150 9.5641 Tf 3.857 1.435 Td [(j)]TJ/F22 8.2889 Tf 2.735 0 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.472 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ ET q 1 0 0 1 171.292 517.245 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 171.292 508.063 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F152 9.5641 Tf 6.357 19.807 Td [(Z)]TJ/F76 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F150 6.6948 Tf -4.38 -19.002 Td [(\0001)]TJ/F22 8.2889 Tf 14.149 8.569 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(s)]TJ/F76 8.2889 Tf 2.865 -3.95 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ/F150 9.5641 Tf 5.507 0 Td [(C)]TJ/F22 8.2889 Tf 9.586 0 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.592 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ/F154 9.5641 Tf 14.585 2.755 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(2)]TJ/F22 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.472 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(2)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ ET q 1 0 0 1 346.315 517.245 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 346.315 508.063 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F152 9.5641 Tf 6.357 19.807 Td [(Z)]TJ/F150 6.6948 Tf 9.43 -2.584 Td [(1)]TJ/F76 5.8022 Tf -4.38 -19.002 Td [(t)]TJ/F22 8.2889 Tf 13.307 8.569 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(2)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(s)]TJ/F76 8.2889 Tf 2.865 -3.95 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ/F152 9.5641 Tf 3.382 13.428 Td [(\025)]TJ ET 1 0 0 1 37.134 514.853 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -514.853 cm BT /F150 9.5641 Tf 117.904 487.458 Td [(\024)]TJ 27.359 6.705 Td [(j)]TJ/F154 9.5641 Tf 2.735 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F150 9.5641 Tf 3.857 1.435 Td [(j)]TJ ET q 1 0 0 1 129.798 489.849 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 129.798 480.668 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F22 8.2889 Tf 6.357 6.79 Td [(sup)]TJ/F76 5.8022 Tf 1.734 -7.9 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ/F22 8.2889 Tf 6.734 7.9 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.593 0 Td [(j)]TJ/F76 5.8022 Tf 1.914 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ/F152 9.5641 Tf 4.007 9.067 Td [(Z)]TJ/F76 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F150 6.6948 Tf -4.38 -19.002 Td [(\0001)]TJ/F22 8.2889 Tf 14.15 8.569 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F76 5.8022 Tf 3.377 1.353 Td [(s)]TJ/F22 8.2889 Tf 2.866 -3.95 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\026)]TJ/F150 6.6948 Tf 4.592 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(j)]TJ/F22 8.2889 Tf 2.413 -3.95 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.593 0 Td [(j)]TJ/F76 5.8022 Tf 1.914 0 Td [(s)]TJ/F150 6.6948 Tf 2.368 0 Td [(j)]TJ/F76 8.2889 Tf 2.412 -3.95 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 37.134 487.458 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -487.458 cm BT /F150 9.5641 Tf 128.602 460.789 Td [(C)]TJ/F154 9.5641 Tf 28.45 6.704 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.434 Td [(2)]TJ ET q 1 0 0 1 138.852 463.18 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 138.852 453.998 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F22 8.2889 Tf 6.357 6.791 Td [(sup)]TJ/F76 5.8022 Tf 1.734 -7.9 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ/F22 8.2889 Tf 6.734 7.9 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(2)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.593 0 Td [(j)]TJ/F76 5.8022 Tf 1.914 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ/F152 9.5641 Tf 4.007 9.067 Td [(Z)]TJ/F150 6.6948 Tf 9.43 -2.584 Td [(1)]TJ/F76 5.8022 Tf -4.38 -19.002 Td [(t)]TJ/F22 8.2889 Tf 13.308 8.569 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(2)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(s)]TJ/F22 8.2889 Tf 2.865 -3.95 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\026)]TJ/F150 6.6948 Tf 4.593 0 Td [(j)]TJ/F76 5.8022 Tf 1.914 0 Td [(s)]TJ/F150 6.6948 Tf 2.368 0 Td [(j)]TJ/F22 8.2889 Tf 2.413 -3.95 Td [(e)]TJ/F150 6.6948 Tf 4.359 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.593 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(j)]TJ/F76 8.2889 Tf 2.413 -3.95 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 37.134 460.789 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -460.789 cm BT /F150 9.5641 Tf 117.904 433.408 Td [(\024)]TJ 27.359 6.705 Td [(j)]TJ/F154 9.5641 Tf 2.735 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F150 9.5641 Tf 3.857 1.435 Td [(j)]TJ ET q 1 0 0 1 129.798 435.799 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 129.798 426.618 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F150 9.5641 Tf 4.763 6.79 Td [(j)]TJ/F76 8.2889 Tf 2.736 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 25.485 0 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.434 Td [(\026)]TJ/F22 8.2889 Tf 6.685 1.434 Td [(sup)]TJ/F76 5.8022 Tf 1.734 -7.9 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ/F22 8.2889 Tf 6.734 7.9 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.592 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ/F152 9.5641 Tf 4.007 9.067 Td [(Z)]TJ/F76 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F150 6.6948 Tf -4.38 -19.002 Td [(\0001)]TJ/F22 8.2889 Tf 14.149 8.569 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(C)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.593 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(j)]TJ/F22 8.2889 Tf 2.413 -3.95 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 37.134 433.408 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -433.408 cm BT /F150 9.5641 Tf 128.602 406.739 Td [(C)]TJ/F154 9.5641 Tf 28.45 6.705 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(2)]TJ ET q 1 0 0 1 138.852 409.13 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 138.852 399.949 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F150 9.5641 Tf 4.763 6.79 Td [(j)]TJ/F76 8.2889 Tf 2.736 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 25.485 0 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.434 Td [(\026)]TJ/F22 8.2889 Tf 6.685 1.434 Td [(sup)]TJ/F76 5.8022 Tf 1.734 -7.9 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ/F22 8.2889 Tf 6.734 7.9 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(2)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.592 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ/F152 9.5641 Tf 4.007 9.067 Td [(Z)]TJ/F150 6.6948 Tf 9.43 -2.584 Td [(1)]TJ/F76 5.8022 Tf -4.38 -19.002 Td [(t)]TJ/F22 8.2889 Tf 13.308 8.569 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(2)]TJ/F76 5.8022 Tf 3.377 1.353 Td [(s)]TJ/F150 6.6948 Tf 2.368 0 Td [(C)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.592 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(j)]TJ/F22 8.2889 Tf 2.413 -3.95 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(:)]TJ ET 1 0 0 1 37.134 406.739 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -406.739 cm BT /F22 8.2889 Tf 37.134 384.879 Td [(Therefore,)-250(for)]TJ/F76 8.2889 Tf 53.927 0 Td [(t)]TJ/F154 9.5641 Tf 6.3 0 Td [(>)]TJ/F22 8.2889 Tf 10.116 0 Td [(0,)-250(we)-250(have)]TJ ET 1 0 0 1 37.134 384.879 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -384.879 cm BT /F150 9.5641 Tf 61.044 364.262 Td [(j)]TJ/F154 9.5641 Tf 2.736 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(//)]TJ/F150 6.6948 Tf 29.052 3.95 Td [(0)]TJ/F150 9.5641 Tf 2.306 -3.95 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.434 Td [(\026)]TJ/F150 9.5641 Tf 8.578 1.434 Td [(\024)]TJ 48.585 6.705 Td [(j)]TJ/F154 9.5641 Tf 2.736 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F150 9.5641 Tf 3.858 1.435 Td [(j)]TJ ET q 1 0 0 1 130.047 366.653 cm []0 d 0 J 0.44 w 0 0 m 87.445 0 l S Q BT /F76 8.2889 Tf 130.047 357.472 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/.)]TJ/F150 9.5641 Tf 7.135 0 Td [(\000)]TJ/F154 9.5641 Tf 7.46 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\026/)]TJ/F150 9.5641 Tf 11.324 6.79 Td [(j)]TJ/F76 8.2889 Tf 2.735 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 25.485 0 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.434 Td [(\026)]TJ/F150 9.5641 Tf 7.216 1.434 Td [(C)]TJ/F154 9.5641 Tf 46.23 6.705 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(2)]TJ ET q 1 0 0 1 277.424 366.653 cm []0 d 0 J 0.44 w 0 0 m 79.985 0 l S Q BT /F76 8.2889 Tf 277.424 357.472 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.798 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/.\025)]TJ/F22 5.8022 Tf 12.366 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\026/)]TJ/F150 9.5641 Tf 11.324 6.79 Td [(j)]TJ/F76 8.2889 Tf 2.736 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 25.485 0 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.434 Td [(\026)]TJ ET 1 0 0 1 37.134 364.262 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -364.262 cm BT /F150 9.5641 Tf 117.904 337.811 Td [(D)]TJ/F22 8.2889 Tf 32.488 6.704 Td [(1)]TJ ET q 1 0 0 1 130.047 340.202 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 130.047 331.021 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.218 Td [(\024)]TJ/F154 9.5641 Tf 15.544 -6.723 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ ET q 1 0 0 1 184.734 340.202 cm []0 d 0 J 0.44 w 0 0 m 27.361 0 l S Q BT /F154 9.5641 Tf 184.734 331.021 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\026)]TJ/F150 9.5641 Tf 9.882 6.79 Td [(C)]TJ/F154 9.5641 Tf 19.916 6.705 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(2)]TJ ET q 1 0 0 1 226.196 340.202 cm []0 d 0 J 0.44 w 0 0 m 27.361 0 l S Q BT /F154 9.5641 Tf 226.196 331.021 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\026)]TJ/F152 9.5641 Tf 7.757 20.218 Td [(\025)]TJ/F150 9.5641 Tf 6.806 -13.428 Td [(j)]TJ/F76 8.2889 Tf 2.735 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 25.486 0 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.435 Td [(\026)]TJ/F154 9.5641 Tf 5.091 1.435 Td [(:)]TJ ET 1 0 0 1 37.134 337.811 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -337.811 cm BT /F22 8.2889 Tf 37.134 315.975 Td [(Similarly,)-250(for)]TJ/F76 8.2889 Tf 51.15 0 Td [(t)]TJ/F150 9.5641 Tf 6.3 0 Td [(\024)]TJ/F22 8.2889 Tf 9.868 0 Td [(0,)-250(we)-250(have)]TJ ET 1 0 0 1 37.134 315.975 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -315.975 cm BT /F150 9.5641 Tf 61.044 294.754 Td [(j)]TJ/F154 9.5641 Tf 2.736 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(//)]TJ/F150 6.6948 Tf 29.052 3.95 Td [(0)]TJ/F150 9.5641 Tf 2.306 -3.95 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.435 Td [(\026)]TJ/F150 9.5641 Tf 8.578 1.435 Td [(\024)]TJ 48.585 6.704 Td [(j)]TJ/F154 9.5641 Tf 2.736 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.434 Td [(1)]TJ/F150 9.5641 Tf 3.858 1.435 Td [(j)]TJ ET q 1 0 0 1 130.047 297.145 cm []0 d 0 J 0.44 w 0 0 m 87.445 0 l S Q BT /F76 8.2889 Tf 130.047 287.964 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/.)]TJ/F150 9.5641 Tf 7.135 0 Td [(\000)]TJ/F154 9.5641 Tf 7.46 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\026/)]TJ/F150 9.5641 Tf 11.324 6.79 Td [(j)]TJ/F76 8.2889 Tf 2.735 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 25.485 0 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.434 Td [(\026)]TJ ET 1 0 0 1 37.134 294.754 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -294.754 cm BT /F150 9.5641 Tf 128.851 268.303 Td [(C)]TJ/F154 9.5641 Tf 45.698 6.704 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.434 Td [(2)]TJ ET q 1 0 0 1 139.101 270.694 cm []0 d 0 J 0.44 w 0 0 m 79.985 0 l S Q BT /F76 8.2889 Tf 139.101 261.512 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/.\025)]TJ/F22 5.8022 Tf 12.366 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\026/)]TJ/F152 9.5641 Tf 12.918 20.219 Td [(\024)]TJ 5.212 0.44 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F22 8.2889 Tf 15.585 10.051 Td [(1)]TJ ET q 1 0 0 1 231.392 270.694 cm []0 d 0 J 0.44 w 0 0 m 27.361 0 l S Q BT /F154 9.5641 Tf 231.392 261.512 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\026)]TJ/F150 9.5641 Tf 9.881 6.791 Td [(\000)]TJ/F22 8.2889 Tf 22.062 6.704 Td [(1)]TJ ET q 1 0 0 1 272.854 270.694 cm []0 d 0 J 0.44 w 0 0 m 27.361 0 l S Q BT /F154 9.5641 Tf 272.854 261.512 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\026)]TJ/F152 9.5641 Tf 7.757 20.659 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F150 9.5641 Tf 5.233 3.347 Td [(C)]TJ/F22 8.2889 Tf 22.062 6.704 Td [(1)]TJ ET q 1 0 0 1 317.425 270.694 cm []0 d 0 J 0.44 w 0 0 m 27.361 0 l S Q BT /F154 9.5641 Tf 317.425 261.512 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.982 1.434 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\026)]TJ/F152 9.5641 Tf 7.756 20.219 Td [(\025)]TJ/F150 9.5641 Tf 6.807 -13.428 Td [(j)]TJ/F76 8.2889 Tf 2.735 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 25.485 0 Td [(j)]TJ/F154 6.6948 Tf 2.736 -1.435 Td [(\026)]TJ ET 1 0 0 1 37.134 268.303 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -268.303 cm BT /F150 9.5641 Tf 117.904 241.364 Td [(D)]TJ/F22 8.2889 Tf 32.488 6.704 Td [(1)]TJ ET q 1 0 0 1 130.047 243.755 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 130.047 234.574 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.218 Td [(\024)]TJ/F154 9.5641 Tf 15.544 -6.723 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ ET q 1 0 0 1 184.734 243.755 cm []0 d 0 J 0.44 w 0 0 m 27.361 0 l S Q BT /F154 9.5641 Tf 184.734 234.574 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\026)]TJ/F150 9.5641 Tf 9.882 6.79 Td [(C)]TJ/F154 9.5641 Tf 19.916 6.705 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(2)]TJ ET q 1 0 0 1 226.196 243.755 cm []0 d 0 J 0.44 w 0 0 m 27.361 0 l S Q BT /F154 9.5641 Tf 226.196 234.574 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\026)]TJ/F152 9.5641 Tf 7.757 20.218 Td [(\025)]TJ/F150 9.5641 Tf 6.806 -13.428 Td [(j)]TJ/F76 8.2889 Tf 2.735 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 25.486 0 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.435 Td [(\026)]TJ/F154 9.5641 Tf 5.091 1.435 Td [(:)]TJ ET 1 0 0 1 37.134 241.364 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -241.364 cm BT /F22 8.2889 Tf 37.134 217.614 Td [(Since)]TJ/F76 8.2889 Tf 22.016 0 Td [(H)]TJ/F150 9.5641 Tf 9.259 0 Td [(V)]TJ/F76 8.2889 Tf 5.287 0 Td [(D)]TJ/F150 9.5641 Tf 8.409 0 Td [(!)]TJ/F76 8.2889 Tf 13.167 0 Td [(C)]TJ/F154 9.5641 Tf 5.633 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(;)]TJ/F76 8.2889 Tf 4.759 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.472 Td [(/)]TJ/F22 8.2889 Tf 5.383 0 Td [(is)-219(continuous)-219(with)-219(respect)-220(to)-219(the)-219(norm)]TJ/F150 9.5641 Tf 148.18 0 Td [(j)-140(\001)-140(j)]TJ/F154 6.6948 Tf 10.805 -1.435 Td [(\026)]TJ/F22 8.2889 Tf 6.908 1.435 Td [(and)-219(the)-219(set)]TJ/F154 9.2055 Tf 43.32 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.568 0 Td [(\010)]TJ ET q 1 0 0 1 348.552 216.074 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 356.229 217.614 Td [(;)]TJ ET q 1 0 0 1 360.989 225.229 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 360.989 217.614 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(/)]TJ/F22 8.2889 Tf 5.384 0 Td [(is)-219(uniformly)-219(bounded,)-219(there)-220(ex)1(ists)]TJ ET 1 0 0 1 37.134 217.614 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -217.614 cm BT /F22 8.2889 Tf 37.134 207.153 Td [(a)-271(constant)]TJ/F76 8.2889 Tf 41.671 0 Td [(M)]TJ/F22 5.8022 Tf 7.377 -1.435 Td [(1)]TJ/F22 8.2889 Tf 6.101 1.435 Td [(such)-271(that)]TJ/F150 9.5641 Tf 37.659 0 Td [(j)]TJ/F154 9.5641 Tf 2.735 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(//)]TJ/F150 6.6948 Tf 29.052 3.472 Td [(0)]TJ/F150 9.5641 Tf 2.306 -3.472 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.435 Td [(\026)]TJ/F150 9.5641 Tf 8.187 1.435 Td [(\024)]TJ/F76 8.2889 Tf 10.308 0 Td [(M)]TJ/F22 5.8022 Tf 7.377 -1.435 Td [(1)]TJ/F22 8.2889 Tf 3.857 1.435 Td [(.)-271(Similarly,)-270(there)-271(exists)-271(a)-270(constant)]TJ/F76 8.2889 Tf 130.907 0 Td [(M)]TJ/F22 5.8022 Tf 7.378 -1.435 Td [(2)]TJ/F22 8.2889 Tf 6.101 1.435 Td [(such)-271(that)]TJ/F150 9.5641 Tf 37.659 0 Td [(j)]TJ/F154 9.5641 Tf 2.735 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)-50(;)-167(\040)-90(//)]TJ/F150 6.6948 Tf 29.053 3.472 Td [(0)]TJ/F150 9.5641 Tf 2.306 -3.472 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.435 Td [(\026)]TJ/F150 9.5641 Tf 8.187 1.435 Td [(\024)]TJ/F76 8.2889 Tf 10.307 0 Td [(M)]TJ/F22 5.8022 Tf 7.377 -1.435 Td [(2)]TJ/F22 8.2889 Tf 3.858 1.435 Td [(.)-271(Hence)]TJ/F76 8.2889 Tf 30.333 0 Td [(F)]TJ ET 1 0 0 1 37.134 207.153 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -207.153 cm BT /F22 8.2889 Tf 37.134 195.182 Td [(is)-250(equicontinuous)-250(on)]TJ/F154 9.2055 Tf 81.463 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.567 0 Td [(\010)]TJ ET q 1 0 0 1 129.731 193.642 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 137.408 195.182 Td [(;)]TJ ET q 1 0 0 1 142.168 202.797 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 142.168 195.182 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(and)]TJ/F76 8.2889 Tf 16.321 0 Td [(F)]TJ/F154 9.2055 Tf 5.043 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.568 0 Td [(\010)]TJ ET q 1 0 0 1 187.984 193.642 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 195.661 195.182 Td [(;)]TJ ET q 1 0 0 1 200.421 202.797 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 200.421 195.182 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(is)-250(uniformly)-250(bounded.)]TJ ET 1 0 0 1 37.134 195.182 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -195.182 cm BT /F22 8.2889 Tf 49.089 185.306 Td [(Define)]TJ/F76 8.2889 Tf 27.005 0 Td [(F)]TJ/F76 5.8022 Tf 5.044 3.471 Td [(n)]TJ/F154 9.5641 Tf 3.852 -3.471 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F22 8.2889 Tf 27.557 0 Td [(by)]TJ ET 1 0 0 1 37.134 185.306 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -185.306 cm BT /F76 8.2889 Tf 61.044 158.931 Td [(F)]TJ/F76 5.8022 Tf 5.044 3.95 Td [(n)]TJ/F154 9.5641 Tf 3.852 -3.95 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F152 9.5641 Tf 10.117 16.298 Td [(\050)]TJ/F76 8.2889 Tf 6.599 -5.538 Td [(F)]TJ/F154 9.5641 Tf 5.044 0 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf 16.616 0 Td [(t)]TJ/F150 9.5641 Tf 6.3 0 Td [(2)-278(T\000)]TJ/F76 8.2889 Tf 19.317 0 Td [(n)]TJ/F154 9.5641 Tf 4.791 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(n)]TJ/F150 9.5641 Tf 4.791 0 Td [(UI)]TJ/F76 8.2889 Tf -94.314 -10.461 Td [(F)]TJ/F154 9.5641 Tf 5.044 0 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(n)]TJ/F154 9.5641 Tf 4.791 0 Td [(/;)]TJ/F76 8.2889 Tf 16.616 0 Td [(t)]TJ/F150 9.5641 Tf 6.3 0 Td [(2)]TJ/F154 9.5641 Tf 8.672 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(n)]TJ/F154 9.5641 Tf 4.791 0 Td [(;)]TJ/F150 9.5641 Tf 4.759 0 Td [(1)]TJ/F154 9.5641 Tf 9.765 0 Td [(/)]TJ/F150 9.5641 Tf 3.568 0 Td [(I)]TJ/F76 8.2889 Tf -96.926 -10.461 Td [(F)]TJ/F154 9.5641 Tf 5.044 0 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F150 9.5641 Tf 29.052 0 Td [(\000)]TJ/F76 8.2889 Tf 7.46 0 Td [(n)]TJ/F154 9.5641 Tf 4.791 0 Td [(/;)]TJ/F76 8.2889 Tf 16.616 0 Td [(t)]TJ/F150 9.5641 Tf 6.3 0 Td [(2)]TJ/F154 9.5641 Tf 8.672 0 Td [(.)]TJ/F150 9.5641 Tf 3.568 0 Td [(\0001)]TJ/F154 9.5641 Tf 17.225 0 Td [(;)]TJ/F150 9.5641 Tf 4.759 0 Td [(\000)]TJ/F76 8.2889 Tf 7.46 0 Td [(n)]TJ/F154 9.5641 Tf 4.791 0 Td [(/:)]TJ ET 1 0 0 1 37.134 158.931 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -158.931 cm BT /F22 8.2889 Tf 37.134 132.569 Td [(Then,)-224(for)-223(any)]TJ/F76 8.2889 Tf 51.247 0 Td [(n)]TJ/F150 9.5641 Tf 7.448 0 Td [(\025)]TJ/F22 8.2889 Tf 9.868 0 Td [(1,)]TJ/F76 8.2889 Tf 8.592 0 Td [(F)]TJ/F76 5.8022 Tf 5.043 3.472 Td [(n)]TJ/F22 8.2889 Tf 5.705 -3.472 Td [(is)-224(also)-223(equicontinuous)-224(and)-223(uniformly)-224(bounded.)-223(Ascoli\025Arzela)-224(lemma)-223(implies)-224(that)]TJ/F76 8.2889 Tf 309.087 0 Td [(F)]TJ/F76 5.8022 Tf 5.044 3.472 Td [(n)]TJ/F22 8.2889 Tf 5.705 -3.472 Td [(is)-223(compact.)-224(The)]TJ ET 1 0 0 1 37.134 132.569 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -132.569 cm BT /F22 8.2889 Tf 37.134 122.108 Td [(following)-250(estimate)-250(is)-250(obvious:)]TJ ET 1 0 0 1 37.134 122.108 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -122.108 cm BT /F22 8.2889 Tf 61.044 106.255 Td [(sup)]TJ/F76 5.8022 Tf 1.734 -7.901 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ/F150 9.5641 Tf 6.734 7.901 Td [(j)]TJ/F76 8.2889 Tf 2.736 0 Td [(F)]TJ/F76 5.8022 Tf 5.043 3.95 Td [(n)]TJ/F154 9.5641 Tf 3.852 -3.95 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.053 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(F)]TJ/F154 9.5641 Tf 5.043 0 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.053 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F22 8.2889 Tf 2.736 0 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.592 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ/F150 9.5641 Tf 5.9 -3.95 Td [(D)]TJ/F22 8.2889 Tf 32.367 0 Td [(sup)]TJ/F76 5.8022 Tf -21.42 -8.048 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F154 6.6948 Tf 4.211 0 Td [(.)]TJ/F150 6.6948 Tf 2.497 0 Td [(\0001)]TJ/F154 6.6948 Tf 12.057 0 Td [(;)]TJ/F150 6.6948 Tf 2.216 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(n)]TJ/F154 6.6948 Tf 3.354 0 Td [(/)]TJ/F150 6.6948 Tf 2.497 0 Td [([)]TJ/F154 6.6948 Tf 4.472 0 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(n)]TJ/F154 6.6948 Tf 3.354 0 Td [(;)]TJ/F150 6.6948 Tf 2.216 0 Td [(1)]TJ/F154 6.6948 Tf 6.835 0 Td [(/)]TJ/F150 9.5641 Tf 4.091 8.048 Td [(j)]TJ/F76 8.2889 Tf 2.736 0 Td [(F)]TJ/F76 5.8022 Tf 5.044 3.95 Td [(n)]TJ/F154 9.5641 Tf 3.851 -3.95 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.053 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(F)]TJ/F154 9.5641 Tf 5.044 0 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F22 8.2889 Tf 2.736 0 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.592 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ ET 1 0 0 1 37.134 106.255 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -106.255 cm BT /F150 9.5641 Tf 204.459 84.148 Td [(\024)]TJ/F22 8.2889 Tf 10.947 0 Td [(2)]TJ/F76 8.2889 Tf 4.799 0 Td [(M)]TJ/F22 5.8022 Tf 7.377 -1.435 Td [(0)]TJ/F22 8.2889 Tf 3.857 1.435 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F76 5.8022 Tf 4.593 0 Td [(n)]TJ/F150 9.5641 Tf 6.508 -3.95 Td [(!)]TJ/F22 8.2889 Tf 13.168 0 Td [(0)-250(as)]TJ/F76 8.2889 Tf 16.934 0 Td [(n)]TJ/F150 9.5641 Tf 7.448 0 Td [(!)-278(1)]TJ/F154 9.5641 Tf 22.932 0 Td [(:)]TJ ET 1 0 0 1 37.134 84.148 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -84.148 cm BT /F22 8.2889 Tf 37.134 68.294 Td [(where)]TJ/F76 8.2889 Tf 26.334 0 Td [(M)]TJ/F22 5.8022 Tf 7.377 -1.434 Td [(0)]TJ/F22 8.2889 Tf 5.929 1.434 Td [(is)-250(a)-250(positive)-250(constant)-250(such)-250(that)]TJ ET 1 0 0 1 37.134 68.294 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -68.294 cm BT /F150 9.5641 Tf 61.044 52.441 Td [(j)]TJ/F154 9.5641 Tf 2.736 0 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 25.485 0 Td [(j)-278(\024)]TJ/F76 8.2889 Tf 15.26 0 Td [(M)]TJ/F22 5.8022 Tf 7.377 -1.435 Td [(0)]TJ/F22 8.2889 Tf 12.146 1.435 Td [(for)-250(any)]TJ/F154 9.5641 Tf 28.862 0 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 28.142 0 Td [(2)]TJ/F154 9.2055 Tf 8.672 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.567 0 Td [(\010)]TJ ET q 1 0 0 1 200.858 50.901 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 208.536 52.441 Td [(;)]TJ ET q 1 0 0 1 213.295 60.056 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 213.295 52.441 Td [(\010)]TJ/F154 9.5641 Tf 7.678 0 Td [(/;)]TJ ET 1 0 0 1 37.134 52.441 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -11.955 cm 0 g 0 G 1 0 0 1 466.251 0 cm 0 g 0 G endstream endobj 140 0 obj << /Type /XObject /Subtype /Form /FormType 1 /PTEX.FileName (./main.pdf) /PTEX.PageNumber 7 /PTEX.InfoDict 100 0 R /Matrix [ 1 0 0 1 0 0 ] /BBox [ 0 0 544.252 742.677 ] /Resources << /Font << /F150 97 0 R /F76 96 0 R /F22 92 0 R /F123 93 0 R /F136 39 0 R /F152 60 0 R /F154 59 0 R >> /ProcSet [ /PDF /Text ] >> /Length 44091 >> stream 1 0 0 1 40.867 702.503 cm 0 g 0 G 1 0 0 1 -40.867 -702.503 cm BT /F22 6.6311 Tf 40.867 702.503 Td [(238)]TJ/F76 6.6311 Tf 115.738 0 Td [(Z.)-250(Yuan,)-250(X.)-250(Zou)-250(/)-250(Nonlinear)-250(Analysis:)-333(Real)-250(World)-250(Applications)-250(11)-250(\0502010\051)-250(232\025245)]TJ ET 1 0 0 1 507.118 702.503 cm 0 g 0 G 1 0 0 1 -507.118 -702.503 cm BT /F22 8.2889 Tf 40.867 680.585 Td [(Now)-248(for)-249(any)-249(fixed)]TJ/F154 9.5641 Tf 70.025 0 Td [(\017)-333(>)]TJ/F22 8.2889 Tf 17.479 0 Td [(0,)-248(let)]TJ/F154 9.5641 Tf 20.789 0 Td [(\016)-318(<)-278(\017)-55(.)]TJ/F76 8.2889 Tf 25.541 0 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.434 Td [(1)]TJ/F150 9.5641 Tf 5.945 1.434 Td [(C)]TJ/F76 8.2889 Tf 9.548 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.434 Td [(0)]TJ/F76 8.2889 Tf 3.857 1.434 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.945 1.434 Td [(C)]TJ/F76 8.2889 Tf 9.548 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.434 Td [(0)]TJ/F76 8.2889 Tf 3.857 1.434 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.434 Td [(2)]TJ/F76 8.2889 Tf 3.858 1.434 Td [(c)]TJ/F150 6.6948 Tf 4.314 4.076 Td [(\000)]TJ/F22 5.8022 Tf 5.222 0 Td [(1)]TJ -5.806 -6.769 Td [(11)]TJ/F150 9.5641 Tf 11.752 2.693 Td [(C)]TJ/F154 9.5641 Tf 9.547 0 Td [(\014)]TJ/F22 5.8022 Tf 5.395 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F150 6.6948 Tf 3.568 3.472 Td [(\000)]TJ/F22 5.8022 Tf 5.221 0 Td [(1)]TJ/F22 8.2889 Tf 3.858 -3.472 Td [(.)-249(If)]TJ/F154 9.2055 Tf 11.398 0 Td [(\010)]TJ/F150 9.5641 Tf 10.334 0 Td [(D)]TJ/F154 9.5641 Tf 10.116 0 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/;)]TJ/F154 9.2055 Tf 8.327 0 Td [(\011)]TJ/F150 9.5641 Tf 10.537 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(.\036)]TJ/F22 5.8022 Tf 9.085 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F150 9.5641 Tf 6.225 0 Td [(2)]TJ/F76 8.2889 Tf 8.672 0 Td [(D)]TJ/F22 8.2889 Tf 7.813 0 Td [(satisfy)]TJ/F150 9.5641 Tf 26.628 0 Td [(j)]TJ/F154 9.2055 Tf 2.735 0 Td [(\010)]TJ/F150 9.5641 Tf 9.765 0 Td [(\000)]TJ/F154 9.2055 Tf 9.548 0 Td [(\011)]TJ/F150 9.5641 Tf 7.88 0 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.434 Td [(\026)]TJ/F154 9.5641 Tf 7.748 1.434 Td [(<)-278(\016)]TJ/F22 8.2889 Tf 14.611 0 Td [(,)]TJ ET 1 0 0 1 40.867 680.585 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -680.585 cm BT /F22 8.2889 Tf 40.867 670.125 Td [(then)]TJ ET 1 0 0 1 40.867 670.125 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -670.125 cm BT /F150 9.5641 Tf 64.777 653.315 Td [(j)]TJ/F76 8.2889 Tf 2.735 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F150 9.5641 Tf 3.568 0 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.434 Td [(\026)]TJ/F150 9.5641 Tf 8.578 1.434 Td [(D)-365(j)]TJ/F76 8.2889 Tf 13.682 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.134 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.568 0 Td [(j)]TJ/F22 8.2889 Tf 2.735 0 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.593 0 Td [(j)]TJ/F76 5.8022 Tf 1.914 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ ET 1 0 0 1 40.867 653.315 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -653.315 cm BT /F150 9.5641 Tf 173.827 638.102 Td [(\024)]TJ/F154 9.5641 Tf 10.947 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.434 Td [(1)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.434 Td [(0)]TJ/F76 8.2889 Tf 3.857 1.434 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.434 Td [(0)]TJ/F76 8.2889 Tf 3.857 1.434 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.434 Td [(2)]TJ/F76 8.2889 Tf 3.858 1.434 Td [(c)]TJ/F150 6.6948 Tf 4.314 4.075 Td [(\000)]TJ/F22 5.8022 Tf 5.222 0 Td [(1)]TJ -5.806 -6.768 Td [(11)]TJ/F150 9.5641 Tf 11.789 2.693 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F154 9.2055 Tf 2.736 0 Td [(\010)]TJ/F150 9.5641 Tf 9.802 0 Td [(\000)]TJ/F154 9.2055 Tf 9.586 0 Td [(\011)]TJ/F150 9.5641 Tf 7.88 0 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.434 Td [(\026)]TJ/F154 9.5641 Tf 7.747 1.434 Td [(<)-278(\017)-55(:)]TJ ET 1 0 0 1 40.867 638.102 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -638.102 cm BT /F22 8.2889 Tf 40.867 620.133 Td [(That)-250(is,)]TJ/F76 8.2889 Tf 29.301 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F150 9.5641 Tf 6.514 1.435 Td [(V)]TJ/F76 8.2889 Tf 5.287 0 Td [(D)]TJ/F150 9.5641 Tf 8.409 0 Td [(!)]TJ/F76 8.2889 Tf 13.168 0 Td [(C)]TJ/F154 9.5641 Tf 5.632 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.472 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(is)-250(continuous)-250(with)-250(respect)-250(to)-250(the)-250(norm)]TJ/F150 9.5641 Tf 149.97 0 Td [(j)-222(\001)-222(j)]TJ/F154 6.6948 Tf 12.38 -1.435 Td [(\026)]TJ/F22 8.2889 Tf 5.09 1.435 Td [(.)]TJ ET 1 0 0 1 40.867 620.133 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -620.133 cm BT /F22 8.2889 Tf 52.822 608.327 Td [(Now,)-250(we)-250(show)-250(that)]TJ/F76 8.2889 Tf 75.677 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F150 9.5641 Tf 6.514 1.435 Td [(V)]TJ/F76 8.2889 Tf 5.287 0 Td [(D)]TJ/F150 9.5641 Tf 8.409 0 Td [(!)]TJ/F76 8.2889 Tf 13.168 0 Td [(C)]TJ/F154 9.5641 Tf 5.632 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 3.471 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.471 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(is)-250(also)-250(continuous)-250(with)-250(respect)-250(to)-250(the)-250(norm)]TJ/F150 9.5641 Tf 167.21 0 Td [(j)-222(\001)-222(j)]TJ/F154 6.6948 Tf 12.381 -1.435 Td [(\026)]TJ/F22 8.2889 Tf 5.09 1.435 Td [(.)-250(For)]TJ/F76 8.2889 Tf 18.41 0 Td [(t)]TJ/F150 9.5641 Tf 6.299 0 Td [(\025)]TJ/F22 8.2889 Tf 9.868 0 Td [(0,)-250(we)-250(find)]TJ ET 1 0 0 1 40.867 608.327 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -608.327 cm BT /F150 9.5641 Tf 64.777 583.996 Td [(j)]TJ/F76 8.2889 Tf 2.735 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.492 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.134 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.568 0 Td [(j)-365(\024)]TJ/F22 8.2889 Tf 38.71 6.704 Td [(1)]TJ ET q 1 0 0 1 198.637 586.388 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 198.637 577.206 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.982 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.219 Td [(\024)]TJ 5.212 -0.412 Td [(Z)]TJ/F76 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F150 6.6948 Tf -4.38 -19.002 Td [(\0001)]TJ/F22 8.2889 Tf 14.15 8.57 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.949 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F154 6.6948 Tf 3.377 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.498 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F150 9.5641 Tf 2.995 -3.95 Td [(j)]TJ/F76 8.2889 Tf 2.735 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.085 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.492 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F22 8.2889 Tf 2.735 0 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 40.867 583.996 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -583.996 cm BT /F150 9.5641 Tf 198.637 557.018 Td [(C)]TJ/F152 9.5641 Tf 9.054 13.017 Td [(Z)]TJ/F150 6.6948 Tf 9.431 -2.584 Td [(1)]TJ/F76 5.8022 Tf -4.381 -19.002 Td [(t)]TJ/F22 8.2889 Tf 13.308 8.569 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(2)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F150 9.5641 Tf 2.996 -3.95 Td [(j)]TJ/F76 8.2889 Tf 2.735 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.134 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 3.568 0 Td [(j)]TJ/F22 8.2889 Tf 2.735 0 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ/F152 9.5641 Tf 3.382 13.428 Td [(\025)]TJ ET 1 0 0 1 40.867 557.018 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -557.018 cm BT /F150 9.5641 Tf 186.495 529.662 Td [(D)]TJ/F22 8.2889 Tf 32.488 6.705 Td [(1)]TJ ET q 1 0 0 1 198.637 532.053 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 198.637 522.872 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.982 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.218 Td [(\024)]TJ 5.212 -0.411 Td [(Z)]TJ/F76 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F150 6.6948 Tf -4.38 -19.002 Td [(\0001)]TJ/F22 8.2889 Tf 14.15 8.569 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F154 6.6948 Tf 3.377 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.498 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F150 6.6948 Tf 2.497 0 Td [(C)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.593 0 Td [(j)]TJ/F76 5.8022 Tf 1.914 0 Td [(s)]TJ/F150 6.6948 Tf 2.368 0 Td [(j)]TJ/F150 9.5641 Tf 2.412 -3.95 Td [(j)]TJ/F76 8.2889 Tf 2.736 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.085 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F22 8.2889 Tf 2.736 0 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.592 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(j)]TJ/F22 8.2889 Tf 2.413 -3.95 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 40.867 529.662 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -529.662 cm BT /F150 9.5641 Tf 198.637 502.684 Td [(C)]TJ/F152 9.5641 Tf 9.054 13.017 Td [(Z)]TJ/F150 6.6948 Tf 9.431 -2.584 Td [(1)]TJ/F76 5.8022 Tf -4.381 -19.002 Td [(t)]TJ/F22 8.2889 Tf 13.308 8.569 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(2)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F150 6.6948 Tf 2.497 0 Td [(C)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.593 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(j)]TJ/F150 9.5641 Tf 2.413 -3.95 Td [(j)]TJ/F76 8.2889 Tf 2.735 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/)]TJ/F150 9.5641 Tf 3.568 0 Td [(j)]TJ/F22 8.2889 Tf 2.735 0 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.593 0 Td [(j)]TJ/F76 5.8022 Tf 1.914 0 Td [(s)]TJ/F150 6.6948 Tf 2.368 0 Td [(j)]TJ/F22 8.2889 Tf 2.413 -3.95 Td [(d)]TJ/F76 8.2889 Tf 4.931 0 Td [(s)]TJ/F152 9.5641 Tf 3.382 13.428 Td [(\025)]TJ ET 1 0 0 1 40.867 502.684 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -502.684 cm BT /F150 9.5641 Tf 186.495 474.728 Td [(\024)]TJ/F22 8.2889 Tf 32.488 6.704 Td [(1)]TJ ET q 1 0 0 1 198.637 477.119 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 198.637 467.937 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.982 1.434 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.219 Td [(\024)]TJ 5.212 -0.411 Td [(Z)]TJ/F76 5.8022 Tf 9.43 -2.585 Td [(t)]TJ/F22 5.8022 Tf -4.38 -19.002 Td [(0)]TJ/F22 8.2889 Tf 9.023 8.57 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F154 6.6948 Tf 3.377 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.498 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F150 6.6948 Tf 2.497 0 Td [(C)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F76 5.8022 Tf 4.593 0 Td [(s)]TJ/F22 8.2889 Tf 2.865 -3.95 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ/F150 9.5641 Tf 5.507 0 Td [(C)]TJ/F152 9.5641 Tf 9.585 13.017 Td [(Z)]TJ/F22 5.8022 Tf 9.431 -2.585 Td [(0)]TJ/F150 6.6948 Tf -4.381 -19.002 Td [(\0001)]TJ/F22 8.2889 Tf 14.15 8.57 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F154 6.6948 Tf 3.377 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.498 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F150 6.6948 Tf 2.497 0 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F76 5.8022 Tf 4.593 0 Td [(s)]TJ/F22 8.2889 Tf 2.865 -3.95 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 40.867 474.728 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -474.728 cm BT /F150 9.5641 Tf 198.637 447.75 Td [(C)]TJ/F152 9.5641 Tf 9.054 13.017 Td [(Z)]TJ/F150 6.6948 Tf 9.431 -2.585 Td [(1)]TJ/F76 5.8022 Tf -4.381 -19.002 Td [(t)]TJ/F22 8.2889 Tf 13.308 8.57 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(2)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F150 6.6948 Tf 2.497 0 Td [(C)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F76 5.8022 Tf 4.593 0 Td [(s)]TJ/F22 8.2889 Tf 2.865 -3.95 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ/F152 9.5641 Tf 3.382 13.428 Td [(\025)]TJ/F150 9.5641 Tf 6.807 -13.428 Td [(j)]TJ/F76 8.2889 Tf 2.735 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F154 6.6948 Tf 2.736 -1.435 Td [(\026)]TJ ET 1 0 0 1 40.867 447.75 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -447.75 cm BT /F150 9.5641 Tf 186.495 420.811 Td [(D)]TJ/F22 8.2889 Tf 32.488 6.704 Td [(1)]TJ ET q 1 0 0 1 198.637 423.202 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 198.637 414.02 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.982 1.434 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.219 Td [(\024)]TJ/F154 9.5641 Tf 24.365 -6.724 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.434 Td [(1)]TJ ET q 1 0 0 1 251.731 423.202 cm []0 d 0 J 0.44 w 0 0 m 68.991 0 l S Q BT /F154 9.5641 Tf 251.731 414.02 Td [(.\026)]TJ/F150 9.5641 Tf 12.254 0 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/.\025)]TJ/F22 5.8022 Tf 12.366 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\026/)]TJ/F22 8.2889 Tf 11.323 6.791 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\026)]TJ/F76 5.8022 Tf 4.593 0 Td [(t)]TJ/F150 9.5641 Tf 5.174 -3.95 Td [(C)]TJ/F22 8.2889 Tf 20.709 6.704 Td [(2)]TJ/F154 9.5641 Tf 4.8 0 Td [(\026)]TJ ET q 1 0 0 1 346.824 423.202 cm []0 d 0 J 0.44 w 0 0 m 31.218 0 l S Q BT /F154 9.5641 Tf 346.824 413.69 Td [(\025)]TJ/F22 5.8022 Tf 5.232 3.519 Td [(2)]TJ 0 -6.212 Td [(1)]TJ/F150 9.5641 Tf 5.983 2.693 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\026)]TJ/F22 5.8022 Tf 6.561 2.764 Td [(2)]TJ/F22 8.2889 Tf 5.053 4.357 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F76 5.8022 Tf 3.378 1.353 Td [(t)]TJ/F152 9.5641 Tf 1.454 9.478 Td [(\025)]TJ/F150 9.5641 Tf 5.212 -13.428 Td [(j)]TJ/F76 8.2889 Tf 2.736 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.435 Td [(\026)]TJ/F154 9.5641 Tf 5.091 1.435 Td [(:)]TJ ET 1 0 0 1 40.867 420.811 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -420.811 cm BT /F22 8.2889 Tf 40.867 397.291 Td [(Hence,)-250(for)]TJ/F76 8.2889 Tf 40.839 0 Td [(t)]TJ/F150 9.5641 Tf 6.299 0 Td [(\025)]TJ/F22 8.2889 Tf 9.868 0 Td [(0)-250(we)-250(have)]TJ ET 1 0 0 1 40.867 397.291 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -397.291 cm BT /F150 9.5641 Tf 64.777 380.481 Td [(j)]TJ/F76 8.2889 Tf 2.735 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.492 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F22 8.2889 Tf 2.735 0 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.593 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ ET 1 0 0 1 40.867 380.481 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -380.481 cm BT /F150 9.5641 Tf 73.066 360.725 Td [(\024)]TJ/F22 8.2889 Tf 31.409 6.704 Td [(1)]TJ ET q 1 0 0 1 84.129 363.116 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 84.129 353.935 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.218 Td [(\024)]TJ/F154 9.5641 Tf 25.959 -6.723 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ ET q 1 0 0 1 138.817 363.116 cm []0 d 0 J 0.44 w 0 0 m 68.991 0 l S Q BT /F154 9.5641 Tf 138.817 353.935 Td [(.\026)]TJ/F150 9.5641 Tf 12.253 0 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/.\025)]TJ/F22 5.8022 Tf 12.366 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\026/)]TJ/F150 9.5641 Tf 13.45 6.79 Td [(C)]TJ/F22 8.2889 Tf 20.71 6.705 Td [(2)]TJ/F154 9.5641 Tf 4.799 0 Td [(\026)]TJ ET q 1 0 0 1 221.909 363.116 cm []0 d 0 J 0.44 w 0 0 m 31.218 0 l S Q BT /F154 9.5641 Tf 221.909 353.604 Td [(\025)]TJ/F22 5.8022 Tf 5.232 3.52 Td [(2)]TJ 0 -6.213 Td [(1)]TJ/F150 9.5641 Tf 5.983 2.693 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\026)]TJ/F22 5.8022 Tf 6.561 2.764 Td [(2)]TJ/F22 8.2889 Tf 5.053 4.357 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(.\025)]TJ/F22 4.9734 Tf 6.159 -1.353 Td [(1)]TJ/F150 6.6948 Tf 3.378 1.353 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026/)]TJ/F76 5.8022 Tf 7.09 0 Td [(t)]TJ/F152 9.5641 Tf 3.048 9.478 Td [(\025)]TJ/F150 9.5641 Tf 6.806 -13.428 Td [(j)]TJ/F76 8.2889 Tf 2.736 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.435 Td [(\026)]TJ ET 1 0 0 1 40.867 360.725 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -360.725 cm BT /F150 9.5641 Tf 73.066 333.058 Td [(\024)]TJ/F22 8.2889 Tf 31.409 6.704 Td [(1)]TJ ET q 1 0 0 1 84.129 335.449 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 84.129 326.268 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.218 Td [(\024)]TJ/F154 9.5641 Tf 25.959 -6.723 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ ET q 1 0 0 1 138.817 335.449 cm []0 d 0 J 0.44 w 0 0 m 68.991 0 l S Q BT /F154 9.5641 Tf 138.817 326.268 Td [(.\026)]TJ/F150 9.5641 Tf 12.253 0 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/.\025)]TJ/F22 5.8022 Tf 12.366 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\026/)]TJ/F150 9.5641 Tf 13.45 6.79 Td [(C)]TJ/F22 8.2889 Tf 20.71 6.704 Td [(2)]TJ/F154 9.5641 Tf 4.799 0 Td [(\026)]TJ ET q 1 0 0 1 221.909 335.449 cm []0 d 0 J 0.44 w 0 0 m 31.218 0 l S Q BT /F154 9.5641 Tf 221.909 325.937 Td [(\025)]TJ/F22 5.8022 Tf 5.232 3.52 Td [(2)]TJ 0 -6.213 Td [(1)]TJ/F150 9.5641 Tf 5.983 2.693 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\026)]TJ/F22 5.8022 Tf 6.561 2.764 Td [(2)]TJ/F152 9.5641 Tf 5.053 17.785 Td [(\025)]TJ/F150 9.5641 Tf 6.807 -13.428 Td [(j)]TJ/F76 8.2889 Tf 2.735 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.492 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.492 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F154 6.6948 Tf 2.736 -1.435 Td [(\026)]TJ/F154 9.5641 Tf 5.09 1.435 Td [(:)]TJ ET 1 0 0 1 40.867 333.058 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -333.058 cm BT /F22 8.2889 Tf 40.867 309.538 Td [(Similarly,)-250(for)]TJ/F76 8.2889 Tf 51.15 0 Td [(t)]TJ/F150 9.5641 Tf 6.3 0 Td [(\024)]TJ/F22 8.2889 Tf 9.868 0 Td [(0,)-250(we)-250(have)]TJ ET 1 0 0 1 40.867 309.538 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -309.538 cm BT /F150 9.5641 Tf 64.777 292.729 Td [(j)]TJ/F76 8.2889 Tf 2.735 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.492 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F22 8.2889 Tf 2.735 0 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\025)]TJ/F150 6.6948 Tf 3.662 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ ET 1 0 0 1 40.867 292.729 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -292.729 cm BT /F150 9.5641 Tf 73.066 272.972 Td [(\024)]TJ/F22 8.2889 Tf 31.409 6.705 Td [(1)]TJ ET q 1 0 0 1 84.129 275.363 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 84.129 266.182 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.218 Td [(\024)]TJ/F154 9.5641 Tf 29.689 -6.723 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ ET q 1 0 0 1 138.817 275.363 cm []0 d 0 J 0.44 w 0 0 m 76.451 0 l S Q BT /F150 9.5641 Tf 138.817 266.182 Td [(\000)]TJ/F154 9.5641 Tf 7.46 0 Td [(.\026)]TJ/F150 9.5641 Tf 12.253 0 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/.\025)]TJ/F22 5.8022 Tf 12.366 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\026/)]TJ/F150 9.5641 Tf 13.45 6.79 Td [(C)]TJ/F22 8.2889 Tf 20.71 6.705 Td [(2)]TJ/F154 9.5641 Tf 4.799 0 Td [(\026)]TJ ET q 1 0 0 1 229.369 275.363 cm []0 d 0 J 0.44 w 0 0 m 31.218 0 l S Q BT /F154 9.5641 Tf 229.369 265.851 Td [(\025)]TJ/F22 5.8022 Tf 5.232 3.52 Td [(2)]TJ 0 -6.213 Td [(1)]TJ/F150 9.5641 Tf 5.983 2.693 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\026)]TJ/F22 5.8022 Tf 6.561 2.764 Td [(2)]TJ/F152 9.5641 Tf 5.053 17.785 Td [(\025)]TJ/F150 9.5641 Tf 6.807 -13.428 Td [(j)]TJ/F76 8.2889 Tf 2.735 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.492 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.492 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F154 6.6948 Tf 2.736 -1.434 Td [(\026)]TJ/F154 9.5641 Tf 5.09 1.434 Td [(:)]TJ ET 1 0 0 1 40.867 272.972 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -272.972 cm BT /F22 8.2889 Tf 40.867 249.452 Td [(The)-261(above)-261(two)-260(inequalities)-261(together)-261(with)-261(the)-261(continuity)-260(of)]TJ/F76 8.2889 Tf 225.195 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F22 8.2889 Tf 6.02 1.434 Td [(establish)-261(the)-261(continuity)-260(of)]TJ/F76 8.2889 Tf 101.906 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(1)]TJ/F22 8.2889 Tf 3.858 1.434 Td [(.)-261(By)-261(a)-261(simi)1(lar)-261(argument,)-261(we)-261(can)]TJ ET 1 0 0 1 40.867 249.452 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -249.452 cm BT /F22 8.2889 Tf 40.867 238.991 Td [(obtain)-266(the)-265(continuity)-266(of)]TJ/F76 8.2889 Tf 92.537 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.434 Td [(2)]TJ/F22 8.2889 Tf 3.857 1.434 Td [(.)-266(Therefore)-266(the)-265(map)]TJ/F76 8.2889 Tf 77.155 0 Td [(F)]TJ/F150 9.5641 Tf 8.036 0 Td [(D)]TJ/F154 9.5641 Tf 10.452 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F150 9.5641 Tf 6.56 0 Td [(V)]TJ/F76 8.2889 Tf 5.622 0 Td [(D)]TJ/F150 9.5641 Tf 8.744 0 Td [(!)]TJ/F76 8.2889 Tf 13.504 0 Td [(C)]TJ/F154 9.5641 Tf 5.632 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.472 Td [(/)]TJ/F22 8.2889 Tf 5.77 0 Td [(is)-266(continuous)-266(with)-265(respect)-266(to)-266(the)-266(norm)]TJ/F150 9.5641 Tf 150.886 0 Td [(j)-236(\001)-237(j)]TJ/F154 6.6948 Tf 12.649 -1.434 Td [(\026)]TJ/F22 8.2889 Tf 7.293 1.434 Td [(in)]TJ ET 1 0 0 1 40.867 238.991 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -238.991 cm BT /F76 8.2889 Tf 40.867 227.371 Td [(B)]TJ/F154 6.6948 Tf 4.766 -1.435 Td [(\026)]TJ/F154 9.5641 Tf 5.09 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 3.471 Td [(2)]TJ/F154 9.5641 Tf 3.857 -3.471 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(.)-250(This)-250(completes)-250(the)-250(proof.)]TJ/F136 7.9701 Tf 112.736 0 Td [(\003)]TJ ET 1 0 0 1 40.867 227.371 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -22.371 cm 0 g 0 G 1 0 0 1 -36.882 -205 cm BT /F123 8.2889 Tf 40.867 205 Td [(Lemma)-250(6.)]TJ ET 1 0 0 1 79.575 205 cm 0 g 0 G 1 0 0 1 -79.575 -205 cm BT /F76 8.2889 Tf 83.561 205 Td [(For)-250(sufficiently)-250(large)]TJ/F154 9.5641 Tf 76.108 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ/F154 9.5641 Tf 6.514 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F76 8.2889 Tf 6.871 0 Td [(and)]TJ/F154 9.5641 Tf 15.89 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(2)]TJ/F154 9.5641 Tf 6.514 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F76 8.2889 Tf 4.799 0 Td [(,)-250(we)-250(have)-250(F)]TJ/F154 9.5641 Tf 41.158 0 Td [(.)]TJ/F154 9.2055 Tf 3.568 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.567 0 Td [(\010)]TJ ET q 1 0 0 1 287.139 203.46 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 294.816 205 Td [(;)]TJ ET q 1 0 0 1 299.576 212.615 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 299.576 205 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(//)]TJ/F150 9.5641 Tf 9.792 0 Td [(\032)]TJ/F154 9.2055 Tf 10.117 0 Td [(\000)]TJ/F154 9.5641 Tf 7.566 0 Td [(.)]TJ/F154 9.2055 Tf 3.568 0 Td [(\010)]TJ ET q 1 0 0 1 338.296 203.46 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 345.973 205 Td [(;)]TJ ET q 1 0 0 1 350.733 212.615 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 350.733 205 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(/:)]TJ ET 1 0 0 1 40.867 205 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -18.191 cm 0 g 0 G 1 0 0 1 -36.882 -186.809 cm BT /F123 8.2889 Tf 40.867 186.809 Td [(Proof.)]TJ ET 1 0 0 1 65.095 186.809 cm 0 g 0 G 1 0 0 1 -65.095 -186.809 cm BT /F22 8.2889 Tf 69.08 186.809 Td [(For)-250(any)]TJ/F154 9.5641 Tf 30.321 0 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 28.141 0 Td [(2)]TJ/F154 9.2055 Tf 8.673 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.567 0 Td [(\010)]TJ ET q 1 0 0 1 147.349 185.269 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 155.026 186.809 Td [(;)]TJ ET q 1 0 0 1 159.786 194.424 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 159.786 186.809 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(,)-250(by)]TJ ET 1 0 0 1 186.456 186.809 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -186.456 -186.809 cm BT /F22 8.2889 Tf 186.456 186.809 Td [(Lemma)-250(3)]TJ ET 1 0 0 1 221.485 186.809 cm 0 g 0 G 1 0 0 1 -221.485 -186.809 cm BT /F22 8.2889 Tf 221.485 186.809 Td [(,)-250(it)-250(is)-250(easy)-250(to)-250(see)-250(that)]TJ ET 1 0 0 1 40.867 186.809 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -186.809 cm BT /F76 8.2889 Tf 64.777 168.752 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ ET q 1 0 0 1 76.23 176.604 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 76.23 168.752 Td [(\036)-50(;)]TJ ET q 1 0 0 1 86.987 176.604 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 86.987 168.752 Td [(\040)-90(/)]TJ/F150 9.5641 Tf 13.818 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 28.141 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)]TJ ET q 1 0 0 1 168.022 165.366 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 174.018 168.752 Td [(;)-167(\040)]TJ ET q 1 0 0 1 178.778 165.309 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 186.372 168.752 Td [(/;)]TJ ET 1 0 0 1 40.867 168.752 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -168.752 cm BT /F76 8.2889 Tf 64.777 152.152 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ ET q 1 0 0 1 76.23 148.766 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 82.227 152.152 Td [(;)-167(\040)]TJ ET q 1 0 0 1 86.987 148.709 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 94.581 152.152 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 28.141 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ ET q 1 0 0 1 168.022 160.004 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 168.022 152.152 Td [(\036)-50(;)]TJ ET q 1 0 0 1 178.778 160.004 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 178.778 152.152 Td [(\040)-90(/:)]TJ ET 1 0 0 1 40.867 152.152 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -152.152 cm BT /F22 8.2889 Tf 40.867 132.429 Td [(Now,)-250(in)-250(order)-250(to)-250(verify)-250(the)-250(condition)-250(\050i\051)-250(in)-250(the)-250(set)]TJ/F154 9.2055 Tf 189.424 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.568 0 Td [(\010)]TJ ET q 1 0 0 1 241.426 130.889 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 249.103 132.429 Td [(;)]TJ ET q 1 0 0 1 253.863 140.044 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 253.863 132.429 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(for)]TJ/F76 8.2889 Tf 12.93 0 Td [(F)]TJ/F154 9.5641 Tf 5.044 0 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 28.142 0 Td [(D)]TJ/F154 9.5641 Tf 10.116 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(/;)]TJ/F76 8.2889 Tf 30.245 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(//)]TJ/F22 8.2889 Tf 29.052 0 Td [(,)-250(we)-250(need)-250(to)-250(prove)]TJ ET 1 0 0 1 40.867 132.429 cm 0 g 0 G 0 g 0 G q 1 0 0 1 23.91 -10.205 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q 1 0 0 1 -40.867 -132.429 cm BT /F154 9.5641 Tf 64.777 114.372 Td [(\036)]TJ/F150 9.5641 Tf 8.653 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ ET q 1 0 0 1 94.752 122.224 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 94.752 114.372 Td [(\036)-50(;)]TJ ET q 1 0 0 1 105.508 122.224 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 105.508 114.372 Td [(\040)-90(/)]TJ/F150 9.5641 Tf 13.818 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ ET q 1 0 0 1 140.647 110.986 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 146.644 114.372 Td [(;)-167(\040)]TJ ET q 1 0 0 1 151.404 110.929 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 158.998 114.372 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\036)]TJ ET q 1 0 0 1 175.09 110.986 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 181.086 114.372 Td [(;)]TJ ET 1 0 0 1 40.867 114.372 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -114.372 cm BT /F154 9.5641 Tf 64.777 97.772 Td [(\040)]TJ ET q 1 0 0 1 64.777 94.329 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F150 9.5641 Tf 75.027 97.772 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)]TJ ET q 1 0 0 1 96.349 94.386 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 102.345 97.772 Td [(;)-167(\040)]TJ ET q 1 0 0 1 107.105 94.329 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 114.699 97.772 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ ET q 1 0 0 1 142.244 105.624 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 142.244 97.772 Td [(\036)-50(;)]TJ ET q 1 0 0 1 153.001 105.624 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 153.001 97.772 Td [(\040)-90(/)]TJ/F150 9.5641 Tf 13.818 0 Td [(\024)]TJ ET q 1 0 0 1 176.687 105.624 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 176.687 97.772 Td [(\040)-90(:)]TJ ET 1 0 0 1 40.867 97.772 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -97.772 cm BT /F22 8.2889 Tf 40.867 79.963 Td [(Employing)-250(the)-250(integration)-250(by)-250(parts)-250(and)-250(by)-250(the)-250(definitions)-250(of)]TJ/F154 9.5641 Tf 230.031 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F22 8.2889 Tf 5.93 1.435 Td [(and)]TJ/F154 9.5641 Tf 16.321 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(2)]TJ/F22 8.2889 Tf 3.858 1.435 Td [(,)-250(we)-250(obtain)]TJ ET 1 0 0 1 40.867 79.963 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -79.963 cm BT /F76 8.2889 Tf 64.777 56.585 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ ET q 1 0 0 1 76.23 64.437 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 76.23 56.585 Td [(\036)-50(;)]TJ ET q 1 0 0 1 86.987 64.437 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 86.987 56.585 Td [(\040)-90(/.)]TJ/F76 8.2889 Tf 14.728 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 7.055 0 Td [(D)]TJ/F22 8.2889 Tf 32.487 6.704 Td [(1)]TJ ET q 1 0 0 1 124.555 58.976 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 124.555 49.794 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.219 Td [(\024)]TJ 5.213 -0.412 Td [(Z)]TJ/F76 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F150 6.6948 Tf -4.38 -19.002 Td [(\0001)]TJ/F22 8.2889 Tf 14.149 8.57 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F150 9.5641 Tf 5.121 -3.95 Td [(C)]TJ/F152 9.5641 Tf 9.585 13.016 Td [(Z)]TJ/F150 6.6948 Tf 9.43 -2.584 Td [(1)]TJ/F76 5.8022 Tf -4.38 -19.002 Td [(t)]TJ/F22 8.2889 Tf 13.308 8.57 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(2)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F152 9.5641 Tf 2.995 9.478 Td [(\025)]TJ/F76 8.2889 Tf 6.807 -13.428 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ ET q 1 0 0 1 301.535 64.437 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 301.535 56.585 Td [(\036)-50(;)]TJ ET q 1 0 0 1 312.292 64.437 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 312.292 56.585 Td [(\040)-90(/.)]TJ/F76 8.2889 Tf 14.729 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 40.867 56.585 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -16.099 cm 0 g 0 G 1 0 0 1 466.251 0 cm 0 g 0 G endstream endobj 141 0 obj << /Type /XObject /Subtype /Form /FormType 1 /PTEX.FileName (./main.pdf) /PTEX.PageNumber 6 /PTEX.InfoDict 100 0 R /Matrix [ 1 0 0 1 0 0 ] /BBox [ 0 0 544.252 742.677 ] /Resources << /Font << /F150 97 0 R /F76 96 0 R /F152 60 0 R /F123 93 0 R /F154 59 0 R /F22 92 0 R >> /ProcSet [ /PDF /Text ] >> /Length 51744 >> stream 1 0 0 1 37.134 702.503 cm 0 g 0 G 1 0 0 1 -37.134 -702.503 cm BT /F76 6.6311 Tf 152.872 702.503 Td [(Z.)-250(Yuan,)-250(X.)-250(Zou)-250(/)-250(Nonlinear)-250(Analysis:)-333(Real)-250(World)-250(Applications)-250(11)-250(\0502010\051)-250(232\025245)]TJ/F22 6.6311 Tf 338.995 0 Td [(237)]TJ ET 1 0 0 1 503.385 702.503 cm 0 g 0 G 1 0 0 1 -503.385 -702.503 cm BT /F22 8.2889 Tf 49.089 680.585 Td [(By)]TJ ET 1 0 0 1 60.193 680.585 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -60.193 -680.585 cm BT /F22 8.2889 Tf 60.193 680.585 Td [(Lemmas)-188(1)]TJ ET 1 0 0 1 98.402 680.585 cm 0 g 0 G 1 0 0 1 -98.402 -680.585 cm BT /F22 8.2889 Tf 99.957 680.585 Td [(and)]TJ ET 1 0 0 1 115.761 680.585 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -115.761 -680.585 cm BT /F22 8.2889 Tf 115.761 680.585 Td [(2)]TJ ET 1 0 0 1 120.56 680.585 cm 0 g 0 G 1 0 0 1 -120.56 -680.585 cm BT /F22 8.2889 Tf 122.116 680.585 Td [(and)]TJ ET 1 0 0 1 137.919 680.585 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -137.919 -680.585 cm BT /F22 8.2889 Tf 137.919 680.585 Td [(\0502.9\051)]TJ ET 1 0 0 1 155.591 680.585 cm 0 g 0 G 1 0 0 1 -155.591 -680.585 cm BT /F22 8.2889 Tf 155.591 680.585 Td [(,)-188(we)-187(can)-188(easily)-188(see)-187(that)]TJ/F76 8.2889 Tf 85.814 0 Td [(F)]TJ/F150 9.5641 Tf 7.7 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F22 8.2889 Tf 5.123 0 Td [(also)-188(enjoys)-187(the)-188(same)-187(properties)-188(as)-188(those)-187(for)]TJ/F76 8.2889 Tf 164.103 0 Td [(H)]TJ/F150 9.5641 Tf 9.259 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/)]TJ ET 1 0 0 1 37.134 680.585 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -680.585 cm BT /F22 8.2889 Tf 37.134 670.125 Td [(stated)-250(in)]TJ ET 1 0 0 1 72.254 670.125 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -72.254 -670.125 cm BT /F22 8.2889 Tf 72.254 670.125 Td [(Lemmas)-250(1)]TJ ET 1 0 0 1 110.979 670.125 cm 0 g 0 G 1 0 0 1 -110.979 -670.125 cm BT /F22 8.2889 Tf 113.051 670.125 Td [(and)]TJ ET 1 0 0 1 129.372 670.125 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -129.372 -670.125 cm BT /F22 8.2889 Tf 129.372 670.125 Td [(2)]TJ ET 1 0 0 1 134.171 670.125 cm 0 g 0 G 1 0 0 1 -134.171 -670.125 cm BT /F22 8.2889 Tf 134.171 670.125 Td [(.)]TJ ET 1 0 0 1 37.134 670.125 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -19.022 cm 0 g 0 G 1 0 0 1 -33.149 -651.103 cm BT /F123 8.2889 Tf 37.134 651.103 Td [(Lemma)-250(3.)]TJ ET 1 0 0 1 75.843 651.103 cm 0 g 0 G 1 0 0 1 -75.843 -651.103 cm BT /F76 8.2889 Tf 79.828 651.103 Td [(For)-411(sufficiently)-411(large)]TJ/F154 9.5641 Tf 80.115 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)-167(\014)]TJ/F22 5.8022 Tf 10.154 -1.434 Td [(2)]TJ/F154 9.5641 Tf 9.939 1.434 Td [(>)]TJ/F22 8.2889 Tf 13.541 0 Td [(0)]TJ/F76 8.2889 Tf 8.207 0 Td [(and)-411(for)]TJ/F154 9.5641 Tf 31.579 0 Td [(.\036)]TJ/F76 5.8022 Tf 9.086 -1.434 Td [(i)]TJ/F154 9.5641 Tf 2.157 1.434 Td [(;)-167(\040)]TJ/F76 5.8022 Tf 11.493 -1.434 Td [(i)]TJ/F154 9.5641 Tf 2.157 1.434 Td [(/)]TJ/F150 9.5641 Tf 9.649 0 Td [(2)]TJ/F76 8.2889 Tf 12.097 0 Td [(D,)-411(i)]TJ/F150 9.5641 Tf 19.495 0 Td [(D)]TJ/F22 8.2889 Tf 13.541 0 Td [(1)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(2)]TJ/F76 8.2889 Tf 8.207 0 Td [(with)]TJ/F154 9.5641 Tf 20.068 0 Td [(\036)]TJ/F22 5.8022 Tf 5.519 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 9.648 0 Td [(\024)]TJ/F154 9.5641 Tf 13.293 0 Td [(\036)]TJ/F22 5.8022 Tf 5.518 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F76 8.2889 Tf 6.975 0 Td [(and)]TJ/F154 9.5641 Tf 17.226 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/)]TJ/F150 9.5641 Tf 9.649 0 Td [(\024)]TJ/F154 9.5641 Tf 13.293 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/)]TJ/F76 8.2889 Tf 3.568 0 Td [(,)]TJ ET 1 0 0 1 37.134 651.103 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -651.103 cm BT /F76 8.2889 Tf 37.134 640.643 Td [(s)]TJ/F150 9.5641 Tf 6.038 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(i)]TJ/F150 9.5641 Tf 5.027 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(1)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(2)]TJ/F76 8.2889 Tf 4.799 0 Td [(,)-250(we)-250(have)]TJ ET 1 0 0 1 37.134 640.643 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -640.643 cm BT /F152 9.5641 Tf 62.638 629.496 Td [(8)]TJ 0 -8.608 Td [(>)]TJ 0 -2.869 Td [(<)]TJ 0 -17.216 Td [(>)]TJ 0 -2.869 Td [(:)]TJ/F76 8.2889 Tf 7.575 25.076 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\025)]TJ/F76 8.2889 Tf 9.868 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.085 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf -110.007 -10.461 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.085 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf -110.007 -10.461 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\025)]TJ/F76 8.2889 Tf 9.868 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.085 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf -110.007 -10.46 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.085 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 300.694 15.392 Td [(\0502.13\051)]TJ ET 1 0 0 1 37.134 607.02 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -607.02 cm BT /F76 8.2889 Tf 37.134 575.17 Td [(for)-250(all)-250(t)]TJ/F150 9.5641 Tf 29.599 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(R.)]TJ ET 1 0 0 1 37.134 575.17 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -20.638 cm 0 g 0 G 1 0 0 1 -33.149 -554.532 cm BT /F123 8.2889 Tf 37.134 554.532 Td [(Lemma)-250(4.)]TJ ET 1 0 0 1 75.843 554.532 cm 0 g 0 G 1 0 0 1 -75.843 -554.532 cm BT /F76 8.2889 Tf 79.828 554.532 Td [(Assume)]TJ/F154 9.5641 Tf 29.901 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ/F154 9.5641 Tf 6.776 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.379 0 Td [(0)]TJ/F76 8.2889 Tf 6.974 0 Td [(and)]TJ/F154 9.5641 Tf 15.992 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(2)]TJ/F154 9.5641 Tf 6.777 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.379 0 Td [(0)]TJ/F76 8.2889 Tf 6.974 0 Td [(are)-262(sufficiently)-263(large.)-262(For)]TJ/F154 9.5641 Tf 92.925 0 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 28.404 0 Td [(2)]TJ/F76 8.2889 Tf 8.935 0 Td [(D)-262(with)]TJ/F154 9.5641 Tf 26.762 0 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 5.742 0 Td [(nonincreasing)-262(and)]TJ/F154 9.5641 Tf 69.549 0 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F76 8.2889 Tf 5.742 0 Td [(nondecreasing)]TJ ET 1 0 0 1 37.134 554.532 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -554.532 cm BT /F76 8.2889 Tf 37.134 544.071 Td [(in)-250(R,)-250(F)]TJ/F22 5.8022 Tf 22.081 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 5.64 0 Td [(is)-250(nonincreasing)-250(and)-250(F)]TJ/F22 5.8022 Tf 81.197 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.053 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F76 8.2889 Tf 5.64 0 Td [(is)-250(nondecreasing)-250(in)-250(R.)]TJ ET 1 0 0 1 37.134 544.071 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -544.071 cm BT /F22 8.2889 Tf 49.089 527.665 Td [(Denote)]TJ ET 1 0 0 1 37.134 527.665 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -527.665 cm BT /F154 9.2055 Tf 61.044 507.19 Td [(\003)]TJ/F150 6.6948 Tf 7.328 3.95 Td [(C)]TJ/F150 9.5641 Tf 8.377 -3.95 Td [(D)]TJ/F152 9.5641 Tf 10.116 13.428 Td [(\032)]TJ/F154 9.5641 Tf 5.911 -13.428 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 28.142 0 Td [(2)]TJ/F76 8.2889 Tf 8.672 0 Td [(D)]TJ/F150 9.5641 Tf 7.878 0 Td [(\134)]TJ/F76 8.2889 Tf 8.514 0 Td [(C)]TJ/F22 5.8022 Tf 5.632 3.95 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 3.95 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.95 Td [(/)]TJ/F152 9.5641 Tf 5.161 13.868 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ/F76 8.2889 Tf 3.108 8.877 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(\036)]TJ/F150 6.6948 Tf 5.996 3.95 Td [(00)]TJ/F154 9.5641 Tf 4.114 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\036)]TJ/F150 6.6948 Tf 5.997 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\036)-50(.)]TJ/F76 8.2889 Tf 13.132 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/;)-167(\040)-90(.)]TJ/F76 8.2889 Tf 19.489 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.791 0 Td [(\025)]TJ/F22 8.2889 Tf 9.868 0 Td [(0)]TJ/F150 9.5641 Tf 4.8 0 Td [(I)]TJ/F76 8.2889 Tf -188.056 -10.663 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\040)]TJ/F150 6.6948 Tf 7.593 3.95 Td [(00)]TJ/F154 9.5641 Tf 4.114 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.315 0 Td [(\040)]TJ/F150 6.6948 Tf 7.593 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(.)]TJ/F76 8.2889 Tf 13.131 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-167(\040)-90(.)]TJ/F76 8.2889 Tf 19.489 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.791 0 Td [(\024)]TJ/F22 8.2889 Tf 9.868 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 14.244 5.134 Td [(for)]TJ/F76 8.2889 Tf 12.931 0 Td [(t)]TJ/F150 9.5641 Tf 6.299 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(;)]TJ/F152 9.5641 Tf 4.759 13.428 Td [(\033)]TJ/F154 9.5641 Tf 7.505 -13.428 Td [(;)]TJ ET 1 0 0 1 37.134 507.19 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -507.19 cm BT /F22 8.2889 Tf 37.134 485.21 Td [(and)]TJ ET 1 0 0 1 37.134 485.21 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -485.21 cm BT /F154 9.2055 Tf 61.044 464.735 Td [(\003)]TJ/F150 6.6948 Tf 7.328 3.95 Td [(\000)]TJ/F150 9.5641 Tf 8.377 -3.95 Td [(D)]TJ/F152 9.5641 Tf 10.116 13.428 Td [(\032)]TJ/F154 9.5641 Tf 5.911 -13.428 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 28.142 0 Td [(2)]TJ/F76 8.2889 Tf 8.672 0 Td [(D)]TJ/F150 9.5641 Tf 7.878 0 Td [(\134)]TJ/F76 8.2889 Tf 8.514 0 Td [(C)]TJ/F22 5.8022 Tf 5.632 3.95 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 3.95 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.95 Td [(/)]TJ/F152 9.5641 Tf 5.161 13.868 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F76 8.2889 Tf 3.108 8.876 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(\036)]TJ/F150 6.6948 Tf 5.996 3.95 Td [(00)]TJ/F154 9.5641 Tf 4.114 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\036)]TJ/F150 6.6948 Tf 5.997 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\036)-50(.)]TJ/F76 8.2889 Tf 13.132 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/;)-167(\040)-90(.)]TJ/F76 8.2889 Tf 19.489 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.791 0 Td [(\024)]TJ/F22 8.2889 Tf 9.868 0 Td [(0)]TJ/F150 9.5641 Tf 4.8 0 Td [(I)]TJ/F76 8.2889 Tf -188.056 -10.663 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\040)]TJ/F150 6.6948 Tf 7.593 3.95 Td [(00)]TJ/F154 9.5641 Tf 4.114 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.315 0 Td [(\040)]TJ/F150 6.6948 Tf 7.593 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(.)]TJ/F76 8.2889 Tf 13.131 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-167(\040)-90(.)]TJ/F76 8.2889 Tf 19.489 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.791 0 Td [(\025)]TJ/F22 8.2889 Tf 9.868 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 14.244 5.134 Td [(for)]TJ/F76 8.2889 Tf 12.931 0 Td [(t)]TJ/F150 9.5641 Tf 6.299 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(;)]TJ/F152 9.5641 Tf 4.759 13.428 Td [(\033)]TJ/F154 9.5641 Tf 7.505 -13.428 Td [(:)]TJ ET 1 0 0 1 37.134 464.735 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -464.735 cm BT /F22 8.2889 Tf 37.134 440.605 Td [(In)-250(what)-250(follows,)-250(we)-250(assume)-250(that)-250(there)-250(exist)]TJ ET q 1 0 0 1 204.867 448.22 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 204.867 440.605 Td [(\010)]TJ/F150 9.5641 Tf 10.334 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(.)]TJ ET q 1 0 0 1 228.885 448.457 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 228.885 440.605 Td [(\036)-50(;)]TJ ET q 1 0 0 1 239.641 448.457 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 239.641 440.605 Td [(\040)-90(/)]TJ/F150 9.5641 Tf 13.818 0 Td [(2)]TJ/F154 9.2055 Tf 8.673 0 Td [(\003)]TJ/F150 6.6948 Tf 7.327 3.472 Td [(C)]TJ/F22 8.2889 Tf 7.793 -3.472 Td [(and)]TJ/F154 9.2055 Tf 16.32 0 Td [(\010)]TJ ET q 1 0 0 1 293.572 439.065 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F150 9.5641 Tf 303.906 440.605 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(.\036)]TJ ET q 1 0 0 1 317.591 437.219 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 323.587 440.605 Td [(;)-167(\040)]TJ ET q 1 0 0 1 328.347 437.162 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 335.941 440.605 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(2)]TJ/F154 9.2055 Tf 8.672 0 Td [(\003)]TJ/F150 6.6948 Tf 7.328 3.472 Td [(\000)]TJ/F22 8.2889 Tf 7.792 -3.472 Td [(satisfying)]TJ ET 1 0 0 1 37.134 440.605 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -18.55 cm 0 g 0 G 1 0 0 1 -37.134 -422.055 cm BT /F22 8.2889 Tf 37.134 422.055 Td [(\050P1\051)]TJ ET 1 0 0 1 52.733 422.055 cm 0 g 0 G 1 0 0 1 -52.733 -422.055 cm BT /F76 8.2889 Tf 56.719 422.055 Td [(u)]TJ/F150 6.6948 Tf 4.79 3.472 Td [(\003)]TJ/F150 9.5641 Tf 6.643 -3.472 Td [(\024)]TJ ET q 1 0 0 1 78.02 429.907 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 78.02 422.055 Td [(\036)]TJ/F150 9.5641 Tf 8.654 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\036)]TJ ET q 1 0 0 1 96.542 418.669 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F150 9.5641 Tf 105.195 422.055 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(;)]TJ/F22 8.2889 Tf 6.832 0 Td [(0)]TJ/F150 9.5641 Tf 7.456 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\040)]TJ ET q 1 0 0 1 162.232 418.612 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F150 9.5641 Tf 172.482 422.055 Td [(\024)]TJ ET q 1 0 0 1 182.35 429.907 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 182.35 422.055 Td [(\040)]TJ/F150 9.5641 Tf 10.251 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(v)]TJ/F150 6.6948 Tf 5.04 3.472 Td [(\003)]TJ/F22 8.2889 Tf 3.986 -3.472 Td [(;)]TJ ET 1 0 0 1 37.134 422.055 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -13.597 cm 0 g 0 G 1 0 0 1 -37.134 -408.458 cm BT /F22 8.2889 Tf 37.134 408.458 Td [(\050P2\051)]TJ ET 1 0 0 1 52.733 408.458 cm 0 g 0 G q 1 0 0 1 3.986 7.852 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q 1 0 0 1 -52.733 -408.458 cm BT /F154 9.5641 Tf 56.719 408.458 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F22 8.2889 Tf 9.868 0 Td [(inf)]TJ/F76 5.8022 Tf 10.27 -1.434 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(\024)]TJ/F76 5.8022 Tf 5.048 0 Td [(t)]TJ/F154 9.5641 Tf 4.642 1.434 Td [(\036)]TJ ET q 1 0 0 1 108.345 405.073 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 114.341 408.458 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 5.639 0 Td [(and)-250(sup)]TJ/F76 5.8022 Tf 29.956 -2.083 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(\024)]TJ/F76 5.8022 Tf 5.048 0 Td [(t)]TJ/F154 9.5641 Tf 4.643 2.083 Td [(\040)]TJ ET q 1 0 0 1 168.944 405.015 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 176.537 408.458 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ ET q 1 0 0 1 199.579 416.31 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 199.579 408.458 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(for)]TJ/F76 8.2889 Tf 12.93 0 Td [(t)]TJ/F150 9.5641 Tf 6.3 0 Td [(2)]TJ/F76 8.2889 Tf 8.672 0 Td [(R)]TJ/F22 8.2889 Tf 4.866 0 Td [(;)]TJ ET 1 0 0 1 37.134 408.458 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -13.597 cm 0 g 0 G 1 0 0 1 -37.134 -394.861 cm BT /F22 8.2889 Tf 37.134 394.861 Td [(\050P3\051)]TJ ET 1 0 0 1 52.733 394.861 cm 0 g 0 G 1 0 0 1 -52.733 -394.861 cm BT /F154 9.5641 Tf 56.719 394.861 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(uf)]TJ/F154 9.5641 Tf 8.956 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.434 Td [(u)]TJ/F150 9.5641 Tf 7.813 0 Td [(C)]TJ/F154 9.5641 Tf 10.482 0 Td [(v)-40(/;)-167(v)]TJ/F76 8.2889 Tf 18.408 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(u)]TJ/F150 9.5641 Tf 7.813 0 Td [(C)]TJ/F76 8.2889 Tf 10.482 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(v)-40(//)]TJ/F150 9.5641 Tf 17.073 0 Td [(6)1(D)]TJ/F154 9.5641 Tf 12.358 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(/)]TJ/F22 8.2889 Tf 6.514 0 Td [(for)]TJ/F76 8.2889 Tf 13.805 0 Td [(u)]TJ/F150 9.5641 Tf 9.689 0 Td [(2)-512(T)]TJ/F22 8.2889 Tf 14.099 0 Td [(sup)]TJ/F76 5.8022 Tf 13.635 -2.083 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ ET q 1 0 0 1 275.629 402.713 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 275.629 394.861 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf 8.327 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(/)]TJ/F150 9.5641 Tf 6.59 0 Td [([)]TJ/F154 9.5641 Tf 9.41 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.472 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.472 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(inf)]TJ/F76 5.8022 Tf 10.269 -1.434 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ/F154 9.5641 Tf 5.498 1.434 Td [(\036)]TJ ET q 1 0 0 1 375.809 391.476 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 381.806 394.861 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F150 9.5641 Tf 3.568 0 Td [(U)]TJ/F22 8.2889 Tf 6.131 0 Td [(and)]TJ/F154 9.5641 Tf 17.195 0 Td [(v)]TJ/F150 9.5641 Tf 9.939 0 Td [(2)]TJ/F154 9.5641 Tf 10.914 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(inf)]TJ/F76 5.8022 Tf 10.27 -1.434 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ ET q 1 0 0 1 472.418 402.713 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 472.418 394.861 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.568 0 Td [(U)-316([)]TJ ET 1 0 0 1 37.134 394.861 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -394.861 cm BT /F150 9.5641 Tf 56.719 383.221 Td [(T)]TJ/F22 8.2889 Tf 3.184 0 Td [(sup)]TJ/F76 5.8022 Tf 13.635 -2.083 Td [(t)]TJ/F150 6.6948 Tf 2.551 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ/F154 9.5641 Tf 5.498 2.083 Td [(\040)]TJ ET q 1 0 0 1 85.798 379.778 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 93.391 383.221 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-167(v)]TJ/F150 6.6948 Tf 13.367 3.472 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.472 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(.)]TJ ET 1 0 0 1 37.134 383.221 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -383.221 cm BT /F22 8.2889 Tf 37.134 366.797 Td [(Using)-250(this)-250(pair)-250(of)-250(desirable)-250(functions,)-250(we)-250(define)-250(the)-250(following)-250(profile)-250(set:)]TJ ET 1 0 0 1 37.134 366.797 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -366.797 cm BT /F154 9.2055 Tf 61.044 338.91 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.567 0 Td [(\010)]TJ ET q 1 0 0 1 72.179 337.37 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 79.856 338.91 Td [(;)]TJ ET q 1 0 0 1 84.616 346.525 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 84.616 338.91 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F152 9.5641 Tf 10.117 19.606 Td [(8)]TJ 0 -8.607 Td [(<)]TJ 0 -17.216 Td [(:)]TJ/F154 9.5641 Tf 7.574 6.217 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 28.142 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(D)]TJ/F154 9.5641 Tf 5.752 0 Td [(;)]TJ 4.76 10.647 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(i)]TJ/F154 9.5641 Tf 2.487 0 Td [(/)]TJ ET q 1 0 0 1 188.092 357.409 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 188.092 349.557 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\036)]TJ ET q 1 0 0 1 246.69 346.172 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 252.687 349.557 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-383(\040)]TJ ET q 1 0 0 1 270.297 346.114 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 277.891 349.557 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ ET q 1 0 0 1 332.089 357.409 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 332.089 349.557 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ -183.359 -11.425 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(ii)]TJ/F154 9.5641 Tf 4.973 0 Td [(/)-1302(\036)-50(.)]TJ/F76 8.2889 Tf 25.581 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(is)-250(non-increasing)-250(in)]TJ/F76 8.2889 Tf 77.293 0 Td [(R)]TJ/F154 9.5641 Tf -120.697 -10.461 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(iii)]TJ/F154 9.5641 Tf 7.46 0 Td [(/)-1042(\040)-90(.)]TJ/F76 8.2889 Tf 24.691 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(is)-250(nondecreasing)-250(in)]TJ/F76 8.2889 Tf 75.669 0 Td [(R)]TJ/F152 9.5641 Tf 66.256 30.845 Td [(9)]TJ 0 -8.607 Td [(=)]TJ 0 -17.216 Td [(;)]TJ/F154 9.5641 Tf 9.169 6.217 Td [(:)]TJ ET 1 0 0 1 37.134 338.91 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -338.91 cm BT /F22 8.2889 Tf 37.134 309.278 Td [(Obviously,)]TJ/F154 9.2055 Tf 42.124 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.567 0 Td [(\010)]TJ ET q 1 0 0 1 90.392 307.738 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 98.069 309.278 Td [(;)]TJ ET q 1 0 0 1 102.829 316.893 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 102.829 309.278 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(is)-250(non-empty)-250(since)]TJ/F154 9.5641 Tf 74.724 0 Td [(.')]TJ/F22 5.8022 Tf 8.942 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-167(')]TJ/F22 5.8022 Tf 13.702 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.792 0 Td [(2)]TJ/F154 9.2055 Tf 8.672 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.568 0 Td [(\010)]TJ ET q 1 0 0 1 265.249 307.738 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 272.926 309.278 Td [(;)]TJ ET q 1 0 0 1 277.686 316.893 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 277.686 309.278 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(with)]TJ/F154 9.5641 Tf 19.793 0 Td [(')]TJ/F22 5.8022 Tf 5.375 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(inf)]TJ/F76 5.8022 Tf 10.27 -1.435 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(\024)]TJ/F76 5.8022 Tf 5.048 0 Td [(t)]TJ/F154 9.5641 Tf 4.642 1.435 Td [(\036)]TJ ET q 1 0 0 1 365.907 305.892 cm []0 d 0 J 0.44 w 0 0 m 5.997 0 l S Q BT /F154 9.5641 Tf 371.904 309.278 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(and)]TJ/F154 9.5641 Tf 16.321 0 Td [(')]TJ/F22 5.8022 Tf 5.375 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F150 9.5641 Tf 6.225 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(sup)]TJ/F76 5.8022 Tf 13.635 -2.083 Td [(s)]TJ/F150 6.6948 Tf 2.368 0 Td [(\024)]TJ/F76 5.8022 Tf 5.048 0 Td [(t)]TJ/F154 9.5641 Tf 4.642 2.083 Td [(\040)]TJ ET q 1 0 0 1 459.29 305.835 cm []0 d 0 J 0.44 w 0 0 m 7.594 0 l S Q BT /F154 9.5641 Tf 466.884 309.278 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(.)]TJ ET 1 0 0 1 37.134 309.278 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -309.278 cm BT /F22 8.2889 Tf 49.089 295.907 Td [(In)-204(the)-205(rest)-204(of)-205(this)-204(section,)-205(we)-204(will)-204(apply)-205(Schauder's)-204(fixed)-205(point)-204(theorem)-204(to)]TJ/F76 8.2889 Tf 277.394 0 Td [(F)]TJ/F22 8.2889 Tf 6.738 0 Td [(on)-204(the)-205(set)]TJ/F154 9.2055 Tf 38.429 0 Td [(\000)]TJ/F154 9.5641 Tf 7.567 0 Td [(.)]TJ/F154 9.2055 Tf 3.568 0 Td [(\010)]TJ ET q 1 0 0 1 382.785 294.367 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.5641 Tf 390.462 295.907 Td [(;)]TJ ET q 1 0 0 1 395.222 303.522 cm []0 d 0 J 0.44 w 0 0 m 7.677 0 l S Q BT /F154 9.2055 Tf 395.222 295.907 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(/)]TJ/F22 8.2889 Tf 5.262 0 Td [(to)-204(establish)-205(the)-204(existence)]TJ ET 1 0 0 1 37.134 295.907 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -295.907 cm BT /F22 8.2889 Tf 37.134 285.446 Td [(of)-245(solution)-245(to)]TJ ET 1 0 0 1 89.63 285.446 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -89.63 -285.446 cm BT /F22 8.2889 Tf 89.63 285.446 Td [(\0502.1\051)]TJ ET 1 0 0 1 107.302 285.446 cm 0 g 0 G 1 0 0 1 -107.302 -285.446 cm BT /F22 8.2889 Tf 107.302 285.446 Td [(.)-245(The)-245(follo)1(wing)-245(lemmas)-245(verify)-245(the)-245(conditions)-244(for)-245(this)-245(fixed)-245(point)-244(theorem.)-245(The)-245(proofs)-245(are)-244(similar)-245(to)-245(those)]TJ ET 1 0 0 1 37.134 285.446 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -285.446 cm BT /F22 8.2889 Tf 37.134 274.985 Td [(in)-250([)]TJ ET 1 0 0 1 49.708 274.985 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -49.708 -274.985 cm BT /F22 8.2889 Tf 49.708 274.985 Td [(12\02514)]TJ ET 1 0 0 1 73.704 274.985 cm 0 g 0 G 1 0 0 1 -73.704 -274.985 cm BT /F22 8.2889 Tf 73.704 274.985 Td [(],)-250(but)-250(for)-250(the)-250(sake)-250(of)-250(completeness)-250(and)-250(for)-250(readers')-250(convenience,)-250(we)-250(will)-250(give)-250(their)-250(proofs)-250(here.)]TJ ET 1 0 0 1 37.134 274.985 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -20.62 cm 0 g 0 G 1 0 0 1 -33.149 -254.365 cm BT /F123 8.2889 Tf 37.134 254.365 Td [(Lemma)-250(5.)]TJ ET 1 0 0 1 75.843 254.365 cm 0 g 0 G 1 0 0 1 -75.843 -254.365 cm BT /F76 8.2889 Tf 79.828 254.365 Td [(The)-250(map)-250(F)]TJ/F150 9.5641 Tf 40.98 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(V)]TJ/F76 8.2889 Tf 5.286 0 Td [(D)]TJ/F150 9.5641 Tf 8.41 0 Td [(!)]TJ/F76 8.2889 Tf 13.167 0 Td [(C)]TJ/F154 9.5641 Tf 5.632 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.857 -3.472 Td [(/)]TJ/F76 8.2889 Tf 5.64 0 Td [(is)-250(continuous)-250(with)-250(respect)-250(to)-250(the)-250(norm)]TJ/F150 9.5641 Tf 141.839 0 Td [(j)-222(\001)-222(j)]TJ/F154 6.6948 Tf 12.38 -1.434 Td [(\026)]TJ/F76 8.2889 Tf 7.163 1.434 Td [(in)-250(B)]TJ/F154 6.6948 Tf 14 -1.434 Td [(\026)]TJ/F154 9.5641 Tf 5.09 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.857 -3.472 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(.)]TJ ET 1 0 0 1 37.134 254.365 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -17.555 cm 0 g 0 G 1 0 0 1 -33.149 -236.81 cm BT /F123 8.2889 Tf 37.134 236.81 Td [(Proof.)]TJ ET 1 0 0 1 61.362 236.81 cm 0 g 0 G 1 0 0 1 -61.362 -236.81 cm BT /F22 8.2889 Tf 65.347 236.81 Td [(We)-358(first)-358(prove)-359(that)]TJ/F76 8.2889 Tf 77.715 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(1)]TJ/F150 9.5641 Tf 8.814 1.435 Td [(V)]TJ/F76 8.2889 Tf 7.586 0 Td [(D)]TJ/F150 9.5641 Tf 10.709 0 Td [(!)]TJ/F76 8.2889 Tf 15.467 0 Td [(C)]TJ/F154 9.5641 Tf 5.633 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(;)]TJ/F76 8.2889 Tf 4.759 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 3.471 Td [(2)]TJ/F154 9.5641 Tf 3.857 -3.471 Td [(/)]TJ/F22 8.2889 Tf 6.537 0 Td [(is)-358(continuous)-358(with)-359(respect)-358(to)-358(the)-358(norm)]TJ/F150 9.5641 Tf 156.248 0 Td [(j)-318(\001)-319(j)]TJ/F154 6.6948 Tf 14.22 -1.435 Td [(\026)]TJ/F22 8.2889 Tf 5.091 1.435 Td [(.)-359(For)]TJ/F154 9.2055 Tf 20.209 0 Td [(\010)]TJ/F150 9.5641 Tf 12.634 0 Td [(D)]TJ/F154 9.5641 Tf 12.416 0 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.492 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/;)]TJ/F154 9.2055 Tf 8.327 0 Td [(\011)]TJ/F150 9.5641 Tf 12.836 0 Td [(D)]TJ ET 1 0 0 1 37.134 236.81 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -236.81 cm BT /F154 9.5641 Tf 37.134 225.189 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(2)]TJ/F76 8.2889 Tf 8.672 0 Td [(D)]TJ/F22 8.2889 Tf 5.753 0 Td [(,)-250(since)-250(the)-250(functions)]TJ/F76 8.2889 Tf 77.973 0 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(g)]TJ/F150 9.5641 Tf 7.659 0 Td [(2)]TJ/F76 8.2889 Tf 8.672 0 Td [(C)]TJ/F22 5.8022 Tf 5.632 3.472 Td [(1)]TJ/F154 9.5641 Tf 3.858 -3.472 Td [(.)]TJ/F150 9.5641 Tf 3.567 0 Td [(\0001)]TJ/F154 9.5641 Tf 17.225 0 Td [(;)]TJ/F150 9.5641 Tf 4.76 0 Td [(1)]TJ/F154 9.5641 Tf 9.765 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(,)-250(it)-250(follows)-250(that)-250(there)-250(exist)-250(constants)]TJ/F76 8.2889 Tf 140.513 0 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.435 Td [(1)]TJ/F154 9.5641 Tf 6.514 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.435 Td [(2)]TJ/F154 9.5641 Tf 6.514 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)-250(such)-250(that)]TJ ET 1 0 0 1 37.134 225.189 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -225.189 cm BT /F150 9.5641 Tf 61.044 208.765 Td [(j)]TJ/F76 8.2889 Tf 2.736 0 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\036)]TJ/F22 5.8022 Tf 5.519 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 7.134 0 Td [(j)-278(\024)]TJ/F76 8.2889 Tf 15.26 0 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.435 Td [(1)]TJ ET 1 0 0 1 37.134 208.765 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -208.765 cm BT /F22 8.2889 Tf 37.134 192.341 Td [(and)]TJ ET 1 0 0 1 37.134 192.341 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -192.341 cm BT /F150 9.5641 Tf 61.044 175.917 Td [(j)]TJ/F76 8.2889 Tf 2.736 0 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\036)]TJ/F22 5.8022 Tf 5.519 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.26 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\036)]TJ/F22 5.8022 Tf 5.518 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 7.135 0 Td [(j)-278(\024)]TJ/F76 8.2889 Tf 15.26 0 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F150 9.5641 Tf 7.217 1.435 Td [(j)]TJ/F154 9.5641 Tf 2.735 0 Td [(\036)]TJ/F22 5.8022 Tf 5.519 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\036)]TJ/F22 5.8022 Tf 5.518 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)-222(C)-222(j)]TJ/F154 9.5641 Tf 17.182 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F154 9.5641 Tf 2.736 0 Td [(/:)]TJ ET 1 0 0 1 37.134 175.917 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -175.917 cm BT /F22 8.2889 Tf 37.134 159.493 Td [(Thus,)]TJ ET 1 0 0 1 37.134 159.493 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -159.493 cm BT /F150 9.5641 Tf 61.044 143.069 Td [(j)]TJ/F76 8.2889 Tf 2.736 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.134 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F22 8.2889 Tf 2.736 0 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.592 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ ET 1 0 0 1 37.134 143.069 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -143.069 cm BT /F150 9.5641 Tf 69.333 129.619 Td [(D)-278(j)]TJ/F154 9.5641 Tf 12.852 0 Td [(\036)]TJ/F22 5.8022 Tf 5.519 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F76 8.2889 Tf 3.568 0 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\036)]TJ/F22 5.8022 Tf 5.519 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.26 0 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\036)]TJ/F22 5.8022 Tf 5.519 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\036)]TJ/F22 5.8022 Tf 5.518 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.26 0 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\036)]TJ/F22 5.8022 Tf 5.519 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 7.134 0 Td [(j)]TJ/F22 8.2889 Tf 2.736 0 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.592 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ ET 1 0 0 1 37.134 129.619 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -129.619 cm BT /F150 9.5641 Tf 69.333 116.169 Td [(D)-278(j)]TJ/F154 9.5641 Tf 12.852 0 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\036)]TJ/F22 5.8022 Tf 5.518 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F76 8.2889 Tf 7.135 0 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(\036)]TJ/F22 5.8022 Tf 5.518 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.26 0 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\036)]TJ/F22 5.8022 Tf 5.518 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(\036)]TJ/F22 5.8022 Tf 5.519 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.26 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(f)]TJ/F154 9.5641 Tf 4.166 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(\036)]TJ/F22 5.8022 Tf 5.518 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\040)]TJ/F22 5.8022 Tf 6.734 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(///)]TJ ET 1 0 0 1 37.134 116.169 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -116.169 cm BT /F150 9.5641 Tf 77.622 102.72 Td [(C)]TJ/F154 9.5641 Tf 9.054 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\036)]TJ/F22 5.8022 Tf 5.518 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 7.135 0 Td [(j)]TJ/F22 8.2889 Tf 2.735 0 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.593 0 Td [(j)]TJ/F76 5.8022 Tf 1.914 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ ET 1 0 0 1 37.134 102.72 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -102.72 cm BT /F150 9.5641 Tf 69.333 89.27 Td [(\024)-278(T)]TJ/F76 8.2889 Tf 13.053 0 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.434 Td [(1)]TJ/F150 9.5641 Tf 3.857 1.434 Td [(j)]TJ/F154 9.5641 Tf 2.736 0 Td [(\036)]TJ/F22 5.8022 Tf 5.518 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\036)]TJ/F22 5.8022 Tf 5.519 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)-222(C)]TJ/F76 8.2889 Tf 14.446 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F76 8.2889 Tf 3.858 1.434 Td [(c)]TJ/F150 6.6948 Tf 4.314 4.076 Td [(\000)]TJ/F22 5.8022 Tf 5.222 0 Td [(1)]TJ -5.806 -6.769 Td [(11)]TJ/F76 8.2889 Tf 9.664 2.693 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F150 9.5641 Tf 7.217 1.434 Td [(j)]TJ/F154 9.5641 Tf 2.735 0 Td [(\036)]TJ/F22 5.8022 Tf 5.519 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\036)]TJ/F22 5.8022 Tf 5.518 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)-222(C)-222(j)]TJ/F154 9.5641 Tf 17.182 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F154 9.5641 Tf 2.736 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(1)]TJ/F150 9.5641 Tf 3.857 1.434 Td [(j)]TJ/F154 9.5641 Tf 2.736 0 Td [(\036)]TJ/F22 5.8022 Tf 5.518 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\036)]TJ/F22 5.8022 Tf 5.519 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(jU)]TJ/F22 8.2889 Tf 5.92 0 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.593 0 Td [(j)]TJ/F76 5.8022 Tf 1.914 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ ET 1 0 0 1 37.134 89.27 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -89.27 cm BT /F150 9.5641 Tf 69.333 74.064 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.434 Td [(1)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F76 8.2889 Tf 3.858 1.434 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.982 1.434 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F76 8.2889 Tf 3.858 1.434 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.434 Td [(2)]TJ/F76 8.2889 Tf 3.857 1.434 Td [(c)]TJ/F150 6.6948 Tf 4.315 4.076 Td [(\000)]TJ/F22 5.8022 Tf 5.222 0 Td [(1)]TJ -5.807 -6.769 Td [(11)]TJ/F150 9.5641 Tf 11.789 2.693 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F22 8.2889 Tf 5.162 0 Td [(sup)]TJ/F76 5.8022 Tf 1.734 -7.9 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ/F150 9.5641 Tf 6.734 7.9 Td [(j)]TJ/F154 9.2055 Tf 2.735 0 Td [(\010)]TJ/F154 9.5641 Tf 7.678 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.2055 Tf 9.585 0 Td [(\011)]TJ/F154 9.5641 Tf 7.88 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.568 0 Td [(j)]TJ/F22 8.2889 Tf 2.735 0 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.593 0 Td [(j)]TJ/F76 5.8022 Tf 1.914 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ ET 1 0 0 1 37.134 74.064 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -74.064 cm BT /F150 9.5641 Tf 69.333 52.441 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.435 Td [(1)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F76 8.2889 Tf 3.857 1.435 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F76 8.2889 Tf 3.857 1.435 Td [(L)]TJ/F22 5.8022 Tf 3.929 -1.435 Td [(2)]TJ/F76 8.2889 Tf 3.858 1.435 Td [(c)]TJ/F150 6.6948 Tf 4.314 4.075 Td [(\000)]TJ/F22 5.8022 Tf 5.222 0 Td [(1)]TJ -5.806 -6.768 Td [(11)]TJ/F150 9.5641 Tf 11.789 2.693 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F154 9.2055 Tf 2.736 0 Td [(\010)]TJ/F150 9.5641 Tf 9.802 0 Td [(\000)]TJ/F154 9.2055 Tf 9.586 0 Td [(\011)]TJ/F150 9.5641 Tf 7.88 0 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.435 Td [(\026)]TJ/F154 9.5641 Tf 5.091 1.435 Td [(:)]TJ ET 1 0 0 1 37.134 52.441 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -11.955 cm 0 g 0 G 1 0 0 1 466.251 0 cm 0 g 0 G endstream endobj 142 0 obj << /Type /XObject /Subtype /Form /FormType 1 /PTEX.FileName (./main.pdf) /PTEX.PageNumber 5 /PTEX.InfoDict 100 0 R /Matrix [ 1 0 0 1 0 0 ] /BBox [ 0 0 544.252 742.677 ] /Resources << /Font << /F150 97 0 R /F76 96 0 R /F22 92 0 R /F136 39 0 R /F123 93 0 R /F152 60 0 R /F154 59 0 R >> /ProcSet [ /PDF /Text ] >> /Length 41007 >> stream 1 0 0 1 40.867 702.503 cm 0 g 0 G 1 0 0 1 -40.867 -702.503 cm BT /F22 6.6311 Tf 40.867 702.503 Td [(236)]TJ/F76 6.6311 Tf 115.738 0 Td [(Z.)-250(Yuan,)-250(X.)-250(Zou)-250(/)-250(Nonlinear)-250(Analysis:)-333(Real)-250(World)-250(Applications)-250(11)-250(\0502010\051)-250(232\025245)]TJ ET 1 0 0 1 507.118 702.503 cm 0 g 0 G 1 0 0 1 -507.118 -702.503 cm BT /F22 8.2889 Tf 40.867 680.585 Td [(Define)-250(the)-250(operator)]TJ/F76 8.2889 Tf 76.522 0 Td [(F)]TJ/F150 9.5641 Tf 7.701 0 Td [(D)]TJ/F154 9.5641 Tf 10.116 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)]TJ/F76 8.2889 Tf 4.759 0 Td [(F)]TJ/F22 5.8022 Tf 4.029 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(V)]TJ/F76 8.2889 Tf 5.287 0 Td [(D)]TJ/F150 9.5641 Tf 8.409 0 Td [(!)]TJ/F76 8.2889 Tf 13.168 0 Td [(C)]TJ/F154 9.5641 Tf 5.632 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.472 Td [(/)]TJ/F22 8.2889 Tf 5.639 0 Td [(by)]TJ ET 1 0 0 1 40.867 680.585 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -680.585 cm BT /F152 9.5641 Tf 66.371 669.293 Td [(8)]TJ 0 -8.607 Td [(>)]TJ 0 -2.869 Td [(>)]TJ 0 -2.87 Td [(<)]TJ 0 -17.215 Td [(>)]TJ 0 -2.869 Td [(>)]TJ 0 -2.87 Td [(:)]TJ/F76 8.2889 Tf 7.575 24.966 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 31.658 6.704 Td [(1)]TJ ET q 1 0 0 1 132.063 659.35 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 132.063 650.169 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.218 Td [(\024)]TJ 5.212 -0.411 Td [(Z)]TJ/F76 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F150 6.6948 Tf -4.38 -19.002 Td [(\0001)]TJ/F22 8.2889 Tf 14.149 8.569 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(1)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.368 0 Td [(/)]TJ/F76 8.2889 Tf 2.995 -3.95 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ/F150 9.5641 Tf 5.507 0 Td [(C)]TJ/F152 9.5641 Tf 9.585 13.017 Td [(Z)]TJ/F150 6.6948 Tf 9.43 -2.584 Td [(1)]TJ/F76 5.8022 Tf -4.38 -19.002 Td [(t)]TJ/F22 8.2889 Tf 13.308 8.569 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(2)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F76 8.2889 Tf 2.995 -3.95 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.053 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ/F152 9.5641 Tf 3.382 13.428 Td [(\025)]TJ/F154 9.5641 Tf 6.806 -13.428 Td [(;)]TJ/F76 8.2889 Tf -329.945 -26.399 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 31.658 6.704 Td [(1)]TJ ET q 1 0 0 1 132.063 632.951 cm []0 d 0 J 0.44 w 0 0 m 45.49 0 l S Q BT /F76 8.2889 Tf 132.063 623.769 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\025)]TJ/F22 5.8022 Tf 8.799 -1.435 Td [(4)]TJ/F150 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\025)]TJ/F22 5.8022 Tf 5.231 -1.435 Td [(3)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F152 9.5641 Tf 6.357 20.218 Td [(\024)]TJ 5.212 -0.411 Td [(Z)]TJ/F76 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F150 6.6948 Tf -4.38 -19.002 Td [(\0001)]TJ/F22 8.2889 Tf 14.149 8.569 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(3)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.368 0 Td [(/)]TJ/F76 8.2889 Tf 2.995 -3.95 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ/F150 9.5641 Tf 5.507 0 Td [(C)]TJ/F152 9.5641 Tf 9.585 13.017 Td [(Z)]TJ/F150 6.6948 Tf 9.43 -2.584 Td [(1)]TJ/F76 5.8022 Tf -4.38 -19.002 Td [(t)]TJ/F22 8.2889 Tf 13.308 8.569 Td [(e)]TJ/F154 6.6948 Tf 4.36 3.95 Td [(\025)]TJ/F22 4.9734 Tf 3.662 -1.353 Td [(4)]TJ/F154 6.6948 Tf 3.378 1.353 Td [(.)]TJ/F76 5.8022 Tf 2.497 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(\000)]TJ/F76 5.8022 Tf 5.222 0 Td [(s)]TJ/F154 6.6948 Tf 2.367 0 Td [(/)]TJ/F76 8.2889 Tf 2.995 -3.95 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.053 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(s)]TJ/F152 9.5641 Tf 3.382 13.428 Td [(\025)]TJ/F154 9.5641 Tf 6.806 -13.428 Td [(:)]TJ/F22 8.2889 Tf 85.555 13.389 Td [(\0502.9\051)]TJ ET 1 0 0 1 40.867 643.949 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -643.949 cm BT /F22 8.2889 Tf 40.867 607.91 Td [(It)-250(is)-250(obvious)-250(that)]TJ/F154 9.5641 Tf 65.49 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(/;)]TJ/F76 8.2889 Tf 30.245 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(//)]TJ/F150 9.5641 Tf 31.709 0 Td [(2)]TJ/F76 8.2889 Tf 8.672 0 Td [(C)]TJ/F22 5.8022 Tf 5.633 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.857 -3.472 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.472 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(if)]TJ/F154 9.5641 Tf 7.319 0 Td [(\036)-50(;)-167(\040)]TJ/F22 8.2889 Tf 20.422 0 Td [(are)-250(continuous)-250(and)-250(bounded)-250(in)]TJ/F76 8.2889 Tf 120.553 0 Td [(R)]TJ/F22 8.2889 Tf 6.938 0 Td [(\050see,)-250([)]TJ ET 1 0 0 1 411.087 607.91 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -411.087 -607.91 cm BT /F22 8.2889 Tf 411.087 607.91 Td [(15)]TJ ET 1 0 0 1 420.686 607.91 cm 0 g 0 G 1 0 0 1 -420.686 -607.91 cm BT /F22 8.2889 Tf 420.686 607.91 Td [(,)]TJ ET 1 0 0 1 422.626 607.91 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -422.626 -607.91 cm BT /F22 8.2889 Tf 422.626 607.91 Td [(28)]TJ ET 1 0 0 1 432.224 607.91 cm 0 g 0 G 1 0 0 1 -432.224 -607.91 cm BT /F22 8.2889 Tf 432.224 607.91 Td [(,)]TJ ET 1 0 0 1 434.164 607.91 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -434.164 -607.91 cm BT /F22 8.2889 Tf 434.164 607.91 Td [(30)]TJ ET 1 0 0 1 443.762 607.91 cm 0 g 0 G 1 0 0 1 -443.762 -607.91 cm BT /F22 8.2889 Tf 443.762 607.91 Td [(]\051.)]TJ ET 1 0 0 1 40.867 607.91 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -607.91 cm BT /F22 8.2889 Tf 52.822 597.531 Td [(One)-250(can)-250(verify)-250(that)-250(the)-250(operator)]TJ/F76 8.2889 Tf 123.951 0 Td [(F)]TJ/F22 8.2889 Tf 7.116 0 Td [(is)-250(well)-250(defined)-250(and)-250(for)-250(any)]TJ/F154 9.5641 Tf 102.873 0 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 28.142 0 Td [(2)]TJ/F76 8.2889 Tf 8.672 0 Td [(D)]TJ/F22 8.2889 Tf 5.753 0 Td [(,)]TJ ET 1 0 0 1 40.867 597.531 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -597.531 cm BT /F152 9.5641 Tf 66.371 587.595 Td [(\032)]TJ/F76 8.2889 Tf 5.911 -7.899 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(//)]TJ/F150 6.6948 Tf 29.053 3.95 Td [(00)]TJ/F154 9.5641 Tf 4.113 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.315 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(//)]TJ/F150 6.6948 Tf 29.052 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(//.)]TJ/F76 8.2889 Tf 32.62 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(.)]TJ/F76 8.2889 Tf 13.131 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-167(\040)-90(.)]TJ/F76 8.2889 Tf 19.488 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.792 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F76 8.2889 Tf -291.831 -10.663 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(//)]TJ/F150 6.6948 Tf 29.052 3.95 Td [(00)]TJ/F154 9.5641 Tf 4.114 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.315 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(//)]TJ/F150 6.6948 Tf 29.052 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(F)]TJ/F22 5.8022 Tf 4.028 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(//.)]TJ/F76 8.2889 Tf 32.619 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(.)]TJ/F76 8.2889 Tf 13.131 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-167(\040)-90(.)]TJ/F76 8.2889 Tf 19.488 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.792 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F154 9.5641 Tf 4.8 0 Td [(:)]TJ/F22 8.2889 Tf 120.534 5.134 Td [(\0502.10\051)]TJ ET 1 0 0 1 40.867 574.167 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -574.167 cm BT /F22 8.2889 Tf 40.867 553.119 Td [(Thus,)-250(a)-250(fixed)-250(point)-250(of)]TJ/F76 8.2889 Tf 81.777 0 Td [(F)]TJ/F22 8.2889 Tf 7.116 0 Td [(is)-250(a)-250(solution)-250(of)]TJ ET 1 0 0 1 187.144 553.119 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -187.144 -553.119 cm BT /F22 8.2889 Tf 187.144 553.119 Td [(\0502.1\051)]TJ ET 1 0 0 1 204.816 553.119 cm 0 g 0 G 1 0 0 1 -204.816 -553.119 cm BT /F22 8.2889 Tf 204.816 553.119 Td [(.)]TJ ET 1 0 0 1 40.867 553.119 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -553.119 cm BT /F22 8.2889 Tf 52.822 542.74 Td [(Next,)-250(we)-250(introduce)-250(the)-250(exponential)-250(decay)-250(norm)-250(in)]TJ/F76 8.2889 Tf 193.362 0 Td [(C)]TJ/F154 9.5641 Tf 5.632 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 3.471 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.471 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(.)-250(For)]TJ/F154 9.5641 Tf 18.41 0 Td [(\026)-278(>)]TJ/F22 8.2889 Tf 19.334 0 Td [(0,)-250(define)]TJ ET 1 0 0 1 40.867 542.74 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -542.74 cm BT /F76 8.2889 Tf 64.777 527.675 Td [(B)]TJ/F154 6.6948 Tf 4.766 -1.435 Td [(\026)]TJ/F154 9.5641 Tf 5.091 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(;)]TJ/F76 8.2889 Tf 4.759 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 3.95 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.95 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)-278(f)]TJ/F154 9.2055 Tf 13.655 0 Td [(\010)]TJ/F150 9.5641 Tf 10.334 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(C)]TJ/F154 9.5641 Tf 5.632 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(;)]TJ/F76 8.2889 Tf 4.759 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 3.95 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.95 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(V)]TJ/F22 8.2889 Tf 5.286 0 Td [(sup)]TJ/F76 5.8022 Tf 1.735 -7.9 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ/F150 9.5641 Tf 6.734 7.9 Td [(j)]TJ/F154 9.2055 Tf 2.735 0 Td [(\010)]TJ/F154 9.5641 Tf 7.677 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F22 8.2889 Tf 2.735 0 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.593 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ/F154 9.5641 Tf 5.069 -3.95 Td [(<)]TJ/F150 9.5641 Tf 10.117 0 Td [(1g)]TJ ET 1 0 0 1 40.867 527.675 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -527.675 cm BT /F22 8.2889 Tf 40.867 506.603 Td [(and)]TJ ET 1 0 0 1 40.867 506.603 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -506.603 cm BT /F150 9.5641 Tf 64.777 491.538 Td [(j)]TJ/F154 9.2055 Tf 2.735 0 Td [(\010)]TJ/F150 9.5641 Tf 7.678 0 Td [(j)]TJ/F154 6.6948 Tf 2.735 -1.434 Td [(\026)]TJ/F150 9.5641 Tf 7.747 1.434 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(sup)]TJ/F76 5.8022 Tf 1.734 -7.9 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(2)]TJ/F76 5.8022 Tf 4.211 0 Td [(R)]TJ/F150 9.5641 Tf 6.734 7.9 Td [(j)]TJ/F154 9.2055 Tf 2.735 0 Td [(\010)]TJ/F154 9.5641 Tf 7.678 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 3.567 0 Td [(j)]TJ/F22 8.2889 Tf 2.736 0 Td [(e)]TJ/F150 6.6948 Tf 4.36 3.95 Td [(\000)]TJ/F154 6.6948 Tf 5.222 0 Td [(\026)]TJ/F150 6.6948 Tf 4.592 0 Td [(j)]TJ/F76 5.8022 Tf 1.915 0 Td [(t)]TJ/F150 6.6948 Tf 2.55 0 Td [(j)]TJ/F154 9.5641 Tf 2.413 -3.95 Td [(:)]TJ ET 1 0 0 1 40.867 491.538 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -491.538 cm BT /F22 8.2889 Tf 40.867 468.903 Td [(Then)-250(it)-250(is)-250(easy)-250(to)-250(check)-250(that)]TJ/F154 9.5641 Tf 107.415 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(B)]TJ/F154 6.6948 Tf 4.766 -1.434 Td [(\026)]TJ/F154 9.5641 Tf 5.091 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.472 Td [(/;)]TJ/F150 9.5641 Tf 8.327 0 Td [(j)-222(\001)-222(j)]TJ/F154 6.6948 Tf 12.38 -1.434 Td [(\026)]TJ/F154 9.5641 Tf 5.091 1.434 Td [(/)]TJ/F22 8.2889 Tf 5.639 0 Td [(is)-250(a)-250(Banach)-250(space.)-250(For)-250(our)-250(purpose,)-250(we)-250(will)-250(take)]TJ/F154 9.5641 Tf 182.819 0 Td [(\026)-278(>)]TJ/F22 8.2889 Tf 19.334 0 Td [(0)-250(such)-250(that)]TJ ET 1 0 0 1 40.867 468.903 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -468.903 cm BT /F154 9.5641 Tf 64.777 452.231 Td [(\026)-278(<)]TJ/F22 8.2889 Tf 19.334 0 Td [(min)]TJ/F150 9.5641 Tf 15.194 0 Td [(f\000)]TJ/F154 9.5641 Tf 10.998 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)-167(\025)]TJ/F22 5.8022 Tf 9.992 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)]TJ/F150 9.5641 Tf 4.76 0 Td [(\000)]TJ/F154 9.5641 Tf 7.46 0 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.434 Td [(3)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)-167(\025)]TJ/F22 5.8022 Tf 9.991 -1.434 Td [(4)]TJ/F150 9.5641 Tf 3.858 1.434 Td [(g)]TJ/F154 9.5641 Tf 3.539 0 Td [(:)]TJ/F22 8.2889 Tf 312.709 0 Td [(\0502.11\051)]TJ ET 1 0 0 1 40.867 452.231 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -452.231 cm BT /F22 8.2889 Tf 52.822 437.248 Td [(Now)-250(we)-250(explore)-250(some)-250(basic)-250(properties)-250(of)]TJ/F76 8.2889 Tf 159.319 0 Td [(H)]TJ/F22 8.2889 Tf 6.603 0 Td [(.)]TJ ET 1 0 0 1 40.867 437.248 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -19.378 cm 0 g 0 G 1 0 0 1 -36.882 -417.87 cm BT /F123 8.2889 Tf 40.867 417.87 Td [(Lemma)-250(1.)]TJ ET 1 0 0 1 79.575 417.87 cm 0 g 0 G 1 0 0 1 -79.575 -417.87 cm BT /F76 8.2889 Tf 83.561 417.87 Td [(For)-411(sufficiently)-411(large)]TJ/F154 9.5641 Tf 80.114 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)-167(\014)]TJ/F22 5.8022 Tf 10.154 -1.434 Td [(2)]TJ/F154 9.5641 Tf 9.939 1.434 Td [(>)]TJ/F22 8.2889 Tf 13.541 0 Td [(0)]TJ/F76 8.2889 Tf 8.207 0 Td [(and)-411(for)]TJ/F154 9.5641 Tf 31.578 0 Td [(.\036)]TJ/F76 5.8022 Tf 9.086 -1.434 Td [(i)]TJ/F154 9.5641 Tf 2.158 1.434 Td [(;)-167(\040)]TJ/F76 5.8022 Tf 11.493 -1.434 Td [(i)]TJ/F154 9.5641 Tf 2.157 1.434 Td [(/)]TJ/F150 9.5641 Tf 9.649 0 Td [(2)]TJ/F76 8.2889 Tf 12.097 0 Td [(D,)-411(i)]TJ/F150 9.5641 Tf 19.495 0 Td [(D)]TJ/F22 8.2889 Tf 13.541 0 Td [(1)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(2)]TJ/F76 8.2889 Tf 8.207 0 Td [(with)]TJ/F154 9.5641 Tf 20.068 0 Td [(\036)]TJ/F22 5.8022 Tf 5.519 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/)]TJ/F150 9.5641 Tf 9.649 0 Td [(\024)]TJ/F154 9.5641 Tf 13.292 0 Td [(\036)]TJ/F22 5.8022 Tf 5.519 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F76 8.2889 Tf 6.975 0 Td [(and)]TJ/F154 9.5641 Tf 17.225 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 9.649 0 Td [(\024)]TJ/F154 9.5641 Tf 13.292 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F76 8.2889 Tf 3.568 0 Td [(,)]TJ ET 1 0 0 1 40.867 417.87 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -417.87 cm BT /F76 8.2889 Tf 40.867 407.41 Td [(s)]TJ/F150 9.5641 Tf 6.038 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(i)]TJ/F150 9.5641 Tf 5.027 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(1)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(2)]TJ/F76 8.2889 Tf 4.799 0 Td [(,)-250(we)-250(have)]TJ ET 1 0 0 1 40.867 407.41 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -407.41 cm BT /F152 9.5641 Tf 66.371 396.573 Td [(8)]TJ 0 -8.608 Td [(>)]TJ 0 -2.869 Td [(<)]TJ 0 -17.215 Td [(>)]TJ 0 -2.869 Td [(:)]TJ/F76 8.2889 Tf 7.575 25.076 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.134 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\025)]TJ/F76 8.2889 Tf 9.868 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf -113.803 -10.461 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.134 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf -113.803 -10.461 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.134 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\025)]TJ/F76 8.2889 Tf 9.868 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf -113.803 -10.461 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.085 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 296.898 15.392 Td [(\0502.12\051)]TJ ET 1 0 0 1 40.867 374.098 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -374.098 cm BT /F76 8.2889 Tf 40.867 342.558 Td [(for)-250(all)-250(t)]TJ/F150 9.5641 Tf 29.599 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(R.)]TJ ET 1 0 0 1 40.867 342.558 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -15.463 cm 0 g 0 G 1 0 0 1 -36.882 -327.095 cm BT /F123 8.2889 Tf 40.867 327.095 Td [(Proof.)]TJ ET 1 0 0 1 65.095 327.095 cm 0 g 0 G 1 0 0 1 -65.095 -327.095 cm BT /F22 8.2889 Tf 69.08 327.095 Td [(Let)]TJ/F76 8.2889 Tf 14.204 0 Td [(f)]TJ/F22 5.8022 Tf 2.487 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(x)]TJ/F154 9.5641 Tf 4.07 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(y)]TJ/F154 9.5641 Tf 4.343 0 Td [(/)]TJ/F150 9.5641 Tf 7.619 0 Td [(D)]TJ/F76 8.2889 Tf 11.511 0 Td [(xf)]TJ/F154 9.5641 Tf 8.235 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(x)]TJ/F150 9.5641 Tf 6.753 0 Td [(C)]TJ/F76 8.2889 Tf 10.143 0 Td [(y)]TJ/F154 9.5641 Tf 4.343 0 Td [(/)]TJ/F150 9.5641 Tf 6.251 0 Td [(C)]TJ/F154 9.5641 Tf 10.143 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ/F76 8.2889 Tf 3.858 1.435 Td [(x)]TJ/F22 8.2889 Tf 6.686 0 Td [(and)]TJ/F76 8.2889 Tf 16.865 0 Td [(f)]TJ/F22 5.8022 Tf 2.486 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(x)]TJ/F154 9.5641 Tf 4.07 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(y)]TJ/F154 9.5641 Tf 4.343 0 Td [(/)]TJ/F150 9.5641 Tf 7.619 0 Td [(D)]TJ/F76 8.2889 Tf 11.511 0 Td [(yg)]TJ/F154 9.5641 Tf 9.346 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(x)]TJ/F150 9.5641 Tf 6.753 0 Td [(C)]TJ/F76 8.2889 Tf 10.143 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(y)]TJ/F154 9.5641 Tf 4.344 0 Td [(/)]TJ/F150 9.5641 Tf 6.25 0 Td [(C)]TJ/F154 9.5641 Tf 10.144 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(2)]TJ/F76 8.2889 Tf 3.857 1.435 Td [(y)]TJ/F22 8.2889 Tf 4.344 0 Td [(.)-316(For)]TJ/F76 8.2889 Tf 19.5 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.472 Td [(\003)]TJ/F150 9.5641 Tf 8.038 -3.472 Td [(\024)]TJ/F76 8.2889 Tf 11.263 0 Td [(x)]TJ/F150 9.5641 Tf 8.121 0 Td [(\024)]TJ/F76 8.2889 Tf 11.262 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.496 0 Td [(c)]TJ/F22 5.8022 Tf 3.729 -1.435 Td [(11)]TJ/F22 8.2889 Tf 9.834 1.435 Td [(and)-316(0)]TJ/F150 9.5641 Tf 25.715 0 Td [(\024)]TJ/F76 8.2889 Tf 11.263 0 Td [(y)]TJ/F150 9.5641 Tf 8.394 0 Td [(\024)]TJ/F154 9.5641 Tf 11.263 0 Td [(v)]TJ/F150 6.6948 Tf 5.04 3.472 Td [(\003)]TJ/F22 8.2889 Tf 6.603 -3.472 Td [(and)]TJ ET 1 0 0 1 40.867 327.095 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -327.095 cm BT /F22 8.2889 Tf 40.867 316.634 Td [(sufficiently)-250(large)-250(numbers)]TJ/F154 9.5641 Tf 101.82 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(1)]TJ/F154 9.5641 Tf 6.514 1.434 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)-250(and)]TJ/F154 9.5641 Tf 23.192 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(2)]TJ/F154 9.5641 Tf 6.514 1.434 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0,)-250(it)-250(follow)-250(that)]TJ ET 1 0 0 1 40.867 316.634 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -316.634 cm BT /F154 9.5641 Tf 68.007 301.674 Td [(@)]TJ ET q 1 0 0 1 65.972 297.361 cm []0 d 0 J 0.44 w 0 0 m 9.215 0 l S Q BT /F154 9.5641 Tf 65.972 288.179 Td [(@)]TJ/F76 8.2889 Tf 5.146 0 Td [(x)]TJ 5.265 6.791 Td [(f)]TJ/F22 5.8022 Tf 2.487 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(x)]TJ/F154 9.5641 Tf 4.07 0 Td [(;)]TJ/F76 8.2889 Tf 4.759 0 Td [(y)]TJ/F154 9.5641 Tf 4.344 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F76 8.2889 Tf 10.116 0 Td [(f)]TJ/F154 9.5641 Tf 4.166 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(x)]TJ/F150 9.5641 Tf 6.195 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(y)]TJ/F154 9.5641 Tf 4.344 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(xf)]TJ/F150 6.6948 Tf 8.235 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(x)]TJ/F150 9.5641 Tf 6.195 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(y)]TJ/F154 9.5641 Tf 4.343 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ/F150 9.5641 Tf 6.514 1.435 Td [(\025)]TJ/F22 8.2889 Tf 9.868 0 Td [(0)]TJ ET 1 0 0 1 40.867 294.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -294.97 cm BT /F22 8.2889 Tf 40.867 275.074 Td [(and)]TJ ET 1 0 0 1 40.867 275.074 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -275.074 cm BT /F154 9.5641 Tf 68.144 261.942 Td [(@)]TJ ET q 1 0 0 1 65.972 257.629 cm []0 d 0 J 0.44 w 0 0 m 9.489 0 l S Q BT /F154 9.5641 Tf 65.972 248.447 Td [(@)]TJ/F76 8.2889 Tf 5.146 0 Td [(y)]TJ 5.539 6.791 Td [(f)]TJ/F22 5.8022 Tf 2.486 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(x)]TJ/F154 9.5641 Tf 4.07 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(y)]TJ/F154 9.5641 Tf 4.343 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(x)]TJ/F150 9.5641 Tf 6.195 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(y)]TJ/F154 9.5641 Tf 4.343 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(yg)]TJ/F150 6.6948 Tf 9.345 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(x)]TJ/F150 9.5641 Tf 6.196 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(y)]TJ/F154 9.5641 Tf 4.343 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(2)]TJ/F150 9.5641 Tf 6.515 1.435 Td [(\025)]TJ/F22 8.2889 Tf 9.868 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(:)]TJ ET 1 0 0 1 40.867 255.238 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -255.238 cm BT /F22 8.2889 Tf 40.867 233.685 Td [(Thus,)-250(the)-250(first)-250(and)-250(the)-250(third)-250(inequalities)-250(hold.)]TJ ET 1 0 0 1 40.867 233.685 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -233.685 cm BT /F22 8.2889 Tf 52.822 223.55 Td [(From)]TJ ET 1 0 0 1 74.895 223.55 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -74.895 -223.55 cm BT /F22 8.2889 Tf 74.895 223.55 Td [(\0501.3\051)]TJ ET 1 0 0 1 92.567 223.55 cm 0 g 0 G 1 0 0 1 -92.567 -223.55 cm BT /F22 8.2889 Tf 94.639 223.55 Td [(it)-250(follows)-250(that)]TJ ET 1 0 0 1 40.867 223.55 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -223.55 cm BT /F76 8.2889 Tf 64.777 207.436 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/.)]TJ/F76 8.2889 Tf 7.134 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(\036)]TJ/F22 5.8022 Tf 5.519 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F22 8.2889 Tf 5.162 0.085 Td [([)]TJ/F76 8.2889 Tf 2.992 -0.085 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(\036)]TJ/F22 5.8022 Tf 5.518 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.26 0 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(\036)]TJ/F22 5.8022 Tf 5.519 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F22 8.2889 Tf 7.134 0.085 Td [(])]TJ/F150 9.5641 Tf 5.649 -0.085 Td [(\024)]TJ/F22 8.2889 Tf 9.868 0 Td [(0)]TJ ET 1 0 0 1 40.867 207.436 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -207.436 cm BT /F22 8.2889 Tf 40.867 191.323 Td [(for)-250(all)]TJ/F76 8.2889 Tf 24.253 0 Td [(t)]TJ/F150 9.5641 Tf 6.299 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(R)]TJ/F22 8.2889 Tf 4.865 0 Td [(.)-250(On)-250(the)-250(other)-250(hand,)-250(since)]TJ/F154 9.5641 Tf 99.135 0 Td [(\036)]TJ/F150 9.5641 Tf 8.122 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\040)]TJ/F150 9.5641 Tf 10.251 0 Td [(\025)]TJ/F76 8.2889 Tf 9.868 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.472 Td [(\003)]TJ/F150 9.5641 Tf 6.643 -3.472 Td [(\025)]TJ/F154 9.5641 Tf 9.868 0 Td [(w)]TJ/F150 6.6948 Tf 7.316 3.472 Td [(\003)]TJ/F22 8.2889 Tf 6.058 -3.472 Td [(for)]TJ/F76 8.2889 Tf 12.931 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.472 Td [(\003)]TJ/F150 9.5641 Tf 6.643 -3.472 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\036)]TJ/F150 9.5641 Tf 8.653 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F22 8.2889 Tf 9.289 1.435 Td [(and)-250(0)]TJ/F150 9.5641 Tf 23.777 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\040)]TJ/F150 9.5641 Tf 10.251 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(v)]TJ/F150 6.6948 Tf 5.04 3.472 Td [(\003)]TJ/F22 8.2889 Tf 3.986 -3.472 Td [(,)-250(it)-250(follows)-250(that)]TJ ET 1 0 0 1 40.867 191.323 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -191.323 cm BT /F76 8.2889 Tf 64.777 175.21 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.135 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)-167(\040)]TJ/F22 5.8022 Tf 11.493 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/.)]TJ/F76 8.2889 Tf 7.134 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 5.161 0.084 Td [([)]TJ/F76 8.2889 Tf 2.993 -0.084 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.26 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(g)]TJ/F154 9.5641 Tf 5.003 0 Td [(.\036)]TJ/F22 5.8022 Tf 9.086 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\040)]TJ/F22 5.8022 Tf 6.733 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F22 8.2889 Tf 7.135 0.084 Td [(])]TJ/F150 9.5641 Tf 5.648 -0.084 Td [(\024)]TJ/F22 8.2889 Tf 9.868 0 Td [(0)]TJ ET 1 0 0 1 40.867 175.21 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -175.21 cm BT /F22 8.2889 Tf 40.867 159.096 Td [(for)-250(all)]TJ/F76 8.2889 Tf 24.253 0 Td [(t)]TJ/F150 9.5641 Tf 6.299 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(R)]TJ/F22 8.2889 Tf 4.865 0 Td [(,)-250(competing)-250(the)-250(proof.)]TJ/F136 7.9701 Tf 96.292 0 Td [(\003)]TJ ET 1 0 0 1 40.867 159.096 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -19.702 cm 0 g 0 G 1 0 0 1 -36.882 -139.394 cm BT /F123 8.2889 Tf 40.867 139.394 Td [(Lemma)-250(2.)]TJ ET 1 0 0 1 79.575 139.394 cm 0 g 0 G 1 0 0 1 -79.575 -139.394 cm BT /F76 8.2889 Tf 83.561 139.394 Td [(Assume)]TJ/F154 9.5641 Tf 29.9 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ/F154 9.5641 Tf 6.777 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.379 0 Td [(0)]TJ/F76 8.2889 Tf 6.974 0 Td [(and)]TJ/F154 9.5641 Tf 15.992 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(2)]TJ/F154 9.5641 Tf 6.776 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.379 0 Td [(0)]TJ/F76 8.2889 Tf 6.974 0 Td [(are)-262(sufficiently)-263(large.)-262(For)]TJ/F154 9.5641 Tf 92.926 0 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 28.404 0 Td [(2)]TJ/F76 8.2889 Tf 8.935 0 Td [(D)-262(with)]TJ/F154 9.5641 Tf 26.762 0 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 5.742 0 Td [(nonincreasing)-262(and)]TJ/F154 9.5641 Tf 69.549 0 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F76 8.2889 Tf 5.742 0 Td [(nondecreasing)]TJ ET 1 0 0 1 40.867 139.394 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -139.394 cm BT /F76 8.2889 Tf 40.867 128.933 Td [(in)-250(R,)-250(H)]TJ/F22 5.8022 Tf 23.979 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 5.64 0 Td [(is)-250(nonincreasing)-250(and)-250(H)]TJ/F22 5.8022 Tf 83.095 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 5.64 0 Td [(is)-250(nondecreasing)-250(in)-250(R.)]TJ ET 1 0 0 1 40.867 128.933 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -15.463 cm 0 g 0 G 1 0 0 1 -36.882 -113.47 cm BT /F123 8.2889 Tf 40.867 113.47 Td [(Proof.)]TJ ET 1 0 0 1 65.095 113.47 cm 0 g 0 G 1 0 0 1 -65.095 -113.47 cm BT /F22 8.2889 Tf 69.08 113.47 Td [(For)-250(any)]TJ/F76 8.2889 Tf 30.321 0 Td [(s)]TJ/F154 9.5641 Tf 6.038 0 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0,)]TJ/F154 9.5641 Tf 8.811 0 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F150 9.5641 Tf 5.768 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(and)]TJ/F154 9.5641 Tf 16.321 0 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F150 9.5641 Tf 5.768 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\025)]TJ/F154 9.5641 Tf 9.868 0 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(.)-250(It)-250(follows)-250(from)-250(Lemman)-250(1)-250(that)]TJ ET 1 0 0 1 40.867 113.47 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -113.47 cm BT /F76 8.2889 Tf 64.777 97.357 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(t)]TJ/F150 9.5641 Tf 5.769 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.053 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 7.054 0 Td [(D)-365(T)]TJ/F76 8.2889 Tf 14.132 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(.)]TJ/F76 8.2889 Tf 13.131 0 Td [(t)]TJ/F150 9.5641 Tf 5.768 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/;)-167(\040)-90(.)]TJ/F76 8.2889 Tf 19.488 0 Td [(t)]TJ/F150 9.5641 Tf 5.768 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(//)]TJ/F150 9.5641 Tf 9.26 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)-50(.)]TJ/F76 8.2889 Tf 13.132 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-167(\040)-90(.)]TJ/F76 8.2889 Tf 19.488 0 Td [(t)]TJ/F150 9.5641 Tf 5.768 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(//)]TJ/F150 9.5641 Tf 7.135 0 Td [(U)]TJ ET 1 0 0 1 40.867 97.357 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -97.357 cm BT /F150 9.5641 Tf 198.108 83.907 Td [(C)-167(T)]TJ/F76 8.2889 Tf 12.239 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(.)]TJ/F76 8.2889 Tf 13.131 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-167(\040)-90(.)]TJ/F76 8.2889 Tf 19.489 0 Td [(t)]TJ/F150 9.5641 Tf 5.768 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(//)]TJ/F150 9.5641 Tf 9.26 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(.)]TJ/F76 8.2889 Tf 13.131 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-167(\040)-90(.)]TJ/F76 8.2889 Tf 19.488 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 7.135 0 Td [(U)]TJ ET 1 0 0 1 40.867 83.907 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -83.907 cm BT /F150 9.5641 Tf 187.161 70.458 Td [(\024)]TJ/F22 8.2889 Tf 10.947 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 13.049 0 Td [(for)]TJ/F76 8.2889 Tf 12.93 0 Td [(s)]TJ/F150 9.5641 Tf 6.039 0 Td [(\025)]TJ/F22 8.2889 Tf 9.868 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(:)]TJ ET 1 0 0 1 40.867 70.458 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -70.458 cm BT /F22 8.2889 Tf 40.867 54.344 Td [(Similarly,)-250(we)-250(can)-250(prove)-250(that)]TJ/F76 8.2889 Tf 108.683 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(is)-250(nondecreasing,)-250(completing)-250(the)-250(proof.)]TJ/F136 7.9701 Tf 162.785 0 Td [(\003)]TJ ET 1 0 0 1 40.867 54.344 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -13.858 cm 0 g 0 G 1 0 0 1 466.251 0 cm 0 g 0 G endstream endobj 143 0 obj << /Type /XObject /Subtype /Form /FormType 1 /PTEX.FileName (./main.pdf) /PTEX.PageNumber 4 /PTEX.InfoDict 100 0 R /Matrix [ 1 0 0 1 0 0 ] /BBox [ 0 0 544.252 742.677 ] /Resources << /ProcSet [ /PDF /Text ] /XObject << /Im2 44 0 R >> /Font << /F150 97 0 R /F76 96 0 R /F152 60 0 R /F154 59 0 R /F123 93 0 R /F22 92 0 R >> >> /Length 25934 >> stream 1 0 0 1 37.134 702.503 cm 0 g 0 G 1 0 0 1 -37.134 -702.503 cm BT /F76 6.6311 Tf 152.872 702.503 Td [(Z.)-250(Yuan,)-250(X.)-250(Zou)-250(/)-250(Nonlinear)-250(Analysis:)-333(Real)-250(World)-250(Applications)-250(11)-250(\0502010\051)-250(232\025245)]TJ/F22 6.6311 Tf 338.995 0 Td [(235)]TJ ET 1 0 0 1 503.385 702.503 cm 0 g 0 G 1 0 0 1 -466.251 -11.955 cm 0 g 0 G 1 0 0 1 134.126 -135.996 cm q 1 0 0 1 0 0 cm q 1 0 0 1 0 0 cm /Im2 Do Q Q 1 0 0 1 -171.26 -554.552 cm BT /F123 6.6311 Tf 161.858 537.616 Td [(Fig.)-250(2.)]TJ/F22 6.6311 Tf 23.455 0 Td [(Typical)-250(fitness)-250(functions)-250(for)-250(climax)-250(species)-250(and)-250(pioneer)-250(species.)]TJ ET 1 0 0 1 37.134 536.216 cm 0 g 0 G 1 0 0 1 -37.134 -536.216 cm BT /F22 8.2889 Tf 37.134 516.303 Td [(for)-250(positive)-250(solution.)-250(Here)-250(we)-250(consider)-250(the)-250(following)-250(range)-250(of)-250(parameters:)]TJ ET 1 0 0 1 37.134 516.303 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -516.303 cm BT /F76 8.2889 Tf 61.044 495.475 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 6.514 1.435 Td [(>)]TJ 11.342 6.704 Td [(w)]TJ/F22 5.8022 Tf 7.03 -1.434 Td [(2)]TJ ET q 1 0 0 1 82.584 497.866 cm []0 d 0 J 0.44 w 0 0 m 10.947 0 l S Q BT /F76 8.2889 Tf 82.584 488.684 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(22)]TJ/F154 9.5641 Tf 8.413 8.225 Td [(;)-1900(w)]TJ/F22 5.8022 Tf 28.367 -1.435 Td [(1)]TJ/F154 9.5641 Tf 6.514 1.435 Td [(<)]TJ/F76 8.2889 Tf 13 6.704 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ ET q 1 0 0 1 140.92 497.866 cm []0 d 0 J 0.44 w 0 0 m 10.947 0 l S Q BT /F76 8.2889 Tf 140.92 488.684 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 11.069 8.225 Td [(<)-278(w)]TJ/F22 5.8022 Tf 17.146 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(;)]TJ/F22 8.2889 Tf 13.049 0 Td [(and)]TJ/F76 8.2889 Tf 22.537 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 9.874 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.116 0 Td [(1)]TJ/F154 9.5641 Tf 4.8 0 Td [(:)]TJ/F22 8.2889 Tf 233.938 0 Td [(\0502.4\051)]TJ ET 1 0 0 1 37.134 495.475 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -495.475 cm BT /F22 8.2889 Tf 37.134 474.87 Td [(Under)-290(the)-290(above)-289(assumption,)-290(it)-290(is)-290(easy)-290(to)-290(see)-289(that)-290(in)-290(addition)-290(to)-290(the)-290(tr)1(ivial)-290(equilibrium)]TJ/F154 9.5641 Tf 335.568 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(0)]TJ/F154 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(0)]TJ/F154 9.5641 Tf 4.8 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(,)]TJ ET 1 0 0 1 398.537 474.87 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -398.537 -474.87 cm BT /F22 8.2889 Tf 398.537 474.87 Td [(\0501.5\051)]TJ ET 1 0 0 1 416.209 474.87 cm 0 g 0 G 1 0 0 1 -416.209 -474.87 cm BT /F22 8.2889 Tf 418.611 474.87 Td [(has)-290(the)-290(following)-290(fo)1(ur)]TJ ET 1 0 0 1 37.134 474.87 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -474.87 cm BT /F22 8.2889 Tf 37.134 464.409 Td [(non-trivial)-250(equilibria:)]TJ/F154 9.5641 Tf 84.571 0 Td [(.)]TJ/F76 5.8022 Tf 6.208 4.449 Td [(z)]TJ/F22 4.9734 Tf 2.6 -1.353 Td [(0)]TJ ET q 1 0 0 1 126.468 466.8 cm []0 d 0 J 0.44 w 0 0 m 8.868 0 l S Q BT /F76 5.8022 Tf 126.468 461.014 Td [(c)]TJ/F22 4.9734 Tf 2.611 -1.353 Td [(11)]TJ/F154 9.5641 Tf 7.453 4.748 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(0)]TJ/F154 9.5641 Tf 4.8 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(,)]TJ/F154 9.5641 Tf 4.012 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F154 6.6948 Tf 6.24 4.404 Td [(w)]TJ/F22 4.9734 Tf 4.921 -1.353 Td [(2)]TJ ET q 1 0 0 1 167.992 466.8 cm []0 d 0 J 0.44 w 0 0 m 8.868 0 l S Q BT /F76 5.8022 Tf 167.992 461.014 Td [(c)]TJ/F22 4.9734 Tf 2.611 -1.353 Td [(22)]TJ/F154 9.5641 Tf 7.452 4.748 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(,)]TJ/F154 9.5641 Tf 4.012 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F154 6.6948 Tf 6.24 4.404 Td [(w)]TJ/F22 4.9734 Tf 4.921 -1.353 Td [(1)]TJ ET q 1 0 0 1 199.956 466.8 cm []0 d 0 J 0.44 w 0 0 m 8.868 0 l S Q BT /F76 5.8022 Tf 199.956 461.014 Td [(c)]TJ/F22 4.9734 Tf 2.611 -1.353 Td [(22)]TJ/F154 9.5641 Tf 7.453 4.748 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(and)-250(the)-250(co-existence)-250(equilibrium)]TJ/F154 9.5641 Tf 128.037 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.472 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.472 Td [(;)-167(v)]TJ/F150 6.6948 Tf 9.8 3.472 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.472 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(where)]TJ ET 1 0 0 1 37.134 464.409 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -464.409 cm BT /F76 8.2889 Tf 61.044 441.581 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.95 Td [(\003)]TJ/F150 9.5641 Tf 6.643 -3.95 Td [(D)]TJ/F76 8.2889 Tf 11.312 6.704 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(22)]TJ/F76 8.2889 Tf 7.217 1.434 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.434 Td [(0)]TJ/F150 9.5641 Tf 5.982 1.434 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(w)]TJ/F22 5.8022 Tf 7.029 -1.434 Td [(2)]TJ ET q 1 0 0 1 83.79 443.972 cm []0 d 0 J 0.44 w 0 0 m 41.116 0 l S Q BT /F76 8.2889 Tf 85.146 434.79 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.434 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(22)]TJ/F150 9.5641 Tf 9.342 1.434 Td [(\000)]TJ/F22 8.2889 Tf 9.586 0 Td [(1)]TJ/F154 9.5641 Tf 7.35 6.791 Td [(;)-1900(v)]TJ/F150 6.6948 Tf 26.378 3.95 Td [(\003)]TJ/F150 9.5641 Tf 6.643 -3.95 Td [(D)]TJ/F76 8.2889 Tf 11.312 6.704 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(w)]TJ/F22 5.8022 Tf 7.03 -1.434 Td [(2)]TJ/F150 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ ET q 1 0 0 1 170.434 443.972 cm []0 d 0 J 0.44 w 0 0 m 41.116 0 l S Q BT /F76 8.2889 Tf 171.79 434.79 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.434 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(22)]TJ/F150 9.5641 Tf 9.342 1.434 Td [(\000)]TJ/F22 8.2889 Tf 9.586 0 Td [(1)]TJ/F154 9.5641 Tf 7.35 6.791 Td [(:)]TJ ET 1 0 0 1 37.134 441.581 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -441.581 cm BT /F22 8.2889 Tf 37.134 420.948 Td [(It)-276(is)-277(obvious)-276(that)]TJ/F76 8.2889 Tf 66.363 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.472 Td [(\003)]TJ/F154 9.5641 Tf 7.203 -3.472 Td [(<)]TJ/F76 8.2889 Tf 10.676 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F22 8.2889 Tf 7.217 1.435 Td [(.)-277(For)-276(a)-276(detailed)-277(discussi)1(on)-277(of)-276(all)-276(equilibria)-277(of)]TJ ET 1 0 0 1 319.758 420.948 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -319.758 -420.948 cm BT /F22 8.2889 Tf 319.758 420.948 Td [(\0501.1\051)]TJ ET 1 0 0 1 337.43 420.948 cm 0 g 0 G 1 0 0 1 -337.43 -420.948 cm BT /F22 8.2889 Tf 337.43 420.948 Td [(,)-276(we)-277(refer)-276(to)-276(Buchanan)-277([)]TJ ET 1 0 0 1 428.978 420.948 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -428.978 -420.948 cm BT /F22 8.2889 Tf 428.978 420.948 Td [(2)]TJ ET 1 0 0 1 433.777 420.948 cm 0 g 0 G 1 0 0 1 -433.777 -420.948 cm BT /F22 8.2889 Tf 433.777 420.948 Td [(].)-277(F)1(or)-277(convenience)]TJ ET 1 0 0 1 37.134 420.948 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -420.948 cm BT /F22 8.2889 Tf 37.134 410.487 Td [(of)-250(discussion,)-250(we)-250(further)-250(assume,)-250(in)-250(the)-250(remainder)-250(of)-250(the)-250(paper,)-250(the)-250(following)-250(technical)-250(condition)]TJ ET 1 0 0 1 37.134 410.487 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -410.487 cm BT /F154 9.5641 Tf 61.044 393.861 Td [(w)]TJ/F150 6.6948 Tf 7.317 3.95 Td [(\003)]TJ/F150 9.5641 Tf 6.643 -3.95 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(u)]TJ/F150 6.6948 Tf 4.79 3.95 Td [(\003)]TJ/F154 9.5641 Tf 3.987 -3.95 Td [(:)]TJ/F22 8.2889 Tf 392.065 0 Td [(\0502.5\051)]TJ ET 1 0 0 1 37.134 393.861 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -393.861 cm BT /F22 8.2889 Tf 37.134 378.587 Td [(See)]TJ ET 1 0 0 1 52.286 378.587 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -52.286 -378.587 cm BT /F22 8.2889 Tf 52.286 378.587 Td [(Fig.)-250(2)]TJ ET 1 0 0 1 72.303 378.587 cm 0 g 0 G 1 0 0 1 -72.303 -378.587 cm BT /F22 8.2889 Tf 74.376 378.587 Td [(the)-250(positions)-250(of)-250(the)-250(involving)-250(points)-250(corresponding)-250(to)-250(our)-250(assumptions.)]TJ ET 1 0 0 1 37.134 378.587 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -378.587 cm BT /F22 8.2889 Tf 49.089 368.19 Td [(With)-239(the)-239(above)-239(conditions,)-239(our)-239(aim)-239(becomes)-239(to)-239(seek)-239(traveling)-239(wave)-239(fronts)-239(of)]TJ ET 1 0 0 1 341.698 368.19 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -341.698 -368.19 cm BT /F22 8.2889 Tf 341.698 368.19 Td [(\0501.5\051)]TJ ET 1 0 0 1 359.37 368.19 cm 0 g 0 G 1 0 0 1 -359.37 -368.19 cm BT /F22 8.2889 Tf 361.352 368.19 Td [(connecting)-239(the)-239(two)-239(equilibria)]TJ/F154 9.5641 Tf 114.08 0 Td [(.)]TJ/F76 5.8022 Tf 6.209 4.448 Td [(z)]TJ/F22 4.9734 Tf 2.599 -1.353 Td [(0)]TJ ET q 1 0 0 1 480.195 370.581 cm []0 d 0 J 0.44 w 0 0 m 8.868 0 l S Q BT /F76 5.8022 Tf 480.195 364.795 Td [(c)]TJ/F22 4.9734 Tf 2.611 -1.353 Td [(11)]TJ/F154 9.5641 Tf 7.453 4.748 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(/)]TJ ET 1 0 0 1 37.134 368.19 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -368.19 cm BT /F22 8.2889 Tf 37.134 355.847 Td [(and)]TJ/F154 9.5641 Tf 16.321 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.472 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.472 Td [(;)-167(v)]TJ/F150 6.6948 Tf 9.8 3.472 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.472 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(.)-250(Thus,)-250(we)-250(need)-250(assign)-250(to)]TJ ET 1 0 0 1 179.436 355.847 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -179.436 -355.847 cm BT /F22 8.2889 Tf 179.436 355.847 Td [(\0502.1\051)]TJ ET 1 0 0 1 197.108 355.847 cm 0 g 0 G 1 0 0 1 -197.108 -355.847 cm BT /F22 8.2889 Tf 199.18 355.847 Td [(the)-250(following)-250(asymptotic)-250(boundary)-250(conditions:)]TJ ET 1 0 0 1 37.134 355.847 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -355.847 cm BT /F152 9.5641 Tf 62.638 344.927 Td [(8)]TJ 0 -8.608 Td [(<)]TJ 0 -17.215 Td [(:)]TJ/F22 8.2889 Tf 12.142 15.915 Td [(lim)]TJ/F76 5.8022 Tf -4.567 -5.739 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(!\0001)]TJ/F154 9.5641 Tf 21.009 5.739 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F76 8.2889 Tf 13 6.704 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.434 Td [(0)]TJ ET q 1 0 0 1 124.071 337.41 cm []0 d 0 J 0.44 w 0 0 m 10.947 0 l S Q BT /F76 8.2889 Tf 124.071 328.228 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 8.413 8.225 Td [(;)]TJ/F22 8.2889 Tf 23.293 0 Td [(lim)]TJ/F76 5.8022 Tf -1.956 -5.739 Td [(s)]TJ/F150 6.6948 Tf 2.368 0 Td [(!1)]TJ/F154 9.5641 Tf 15.787 5.739 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F76 8.2889 Tf 10.116 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.95 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.95 Td [(;)]TJ/F22 8.2889 Tf -138.989 -18.536 Td [(lim)]TJ/F76 5.8022 Tf -4.567 -5.739 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(!\0001)]TJ/F154 9.5641 Tf 21.009 5.739 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 23.294 0 Td [(lim)]TJ/F76 5.8022 Tf -1.956 -5.739 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(!1)]TJ/F154 9.5641 Tf 15.787 5.739 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(v)]TJ/F150 6.6948 Tf 5.04 3.949 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.949 Td [(:)]TJ/F22 8.2889 Tf 277.04 8.837 Td [(\0502.6\051)]TJ ET 1 0 0 1 37.134 325.32 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -325.32 cm BT /F22 8.2889 Tf 37.134 296.955 Td [(In)-250(the)-250(sequel,)-250(we)-250(need)-250(to)-250(investigate)-250(positive)-250(solutions)-250(of)]TJ ET 1 0 0 1 257.004 296.955 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -257.004 -296.955 cm BT /F22 8.2889 Tf 257.004 296.955 Td [(\0502.1\051\025\0502.6\051)]TJ ET 1 0 0 1 297.146 296.955 cm 0 g 0 G 1 0 0 1 -297.146 -296.955 cm BT /F22 8.2889 Tf 297.146 296.955 Td [(.)-250(To)-250(this)-250(end,)-250(we)-250(need)-250(some)-250(preparation.)]TJ ET 1 0 0 1 37.134 296.955 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -296.955 cm BT /F22 8.2889 Tf 49.089 286.558 Td [(Let)]TJ ET 1 0 0 1 37.134 286.558 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -286.558 cm BT /F76 8.2889 Tf 61.044 271.284 Td [(D)]TJ/F150 9.5641 Tf 8.409 0 Td [(D)-278(f)]TJ/F154 9.5641 Tf 13.656 0 Td [(.\036)-50(;)-167(\040)-90(/)]TJ/F150 9.5641 Tf 28.141 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(C)]TJ/F154 9.5641 Tf 5.632 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 3.95 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.95 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(V)]TJ/F76 8.2889 Tf 5.287 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.95 Td [(\003)]TJ/F150 9.5641 Tf 6.643 -3.95 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(\024)]TJ/F76 8.2889 Tf 9.868 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(0)]TJ/F150 9.5641 Tf 7.456 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(s)]TJ/F154 9.5641 Tf 3.381 0 Td [(/)]TJ/F150 9.5641 Tf 6.225 0 Td [(\024)]TJ/F154 9.5641 Tf 9.868 0 Td [(v)]TJ/F150 6.6948 Tf 5.04 3.95 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.95 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(s)]TJ/F150 9.5641 Tf 6.038 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(R)]TJ/F150 9.5641 Tf 4.865 0 Td [(g)]TJ/F154 9.5641 Tf 3.539 0 Td [(:)]TJ ET 1 0 0 1 37.134 271.284 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -271.284 cm BT /F22 8.2889 Tf 37.134 256.01 Td [(For)-250(constants)]TJ/F154 9.5641 Tf 53.048 0 Td [(\014)]TJ/F22 5.8022 Tf 5.395 -1.434 Td [(1)]TJ/F22 8.2889 Tf 5.929 1.434 Td [(and)]TJ/F154 9.5641 Tf 16.321 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(2)]TJ/F22 8.2889 Tf 3.858 1.434 Td [(,)-250(define)-250(the)-250(operator)]TJ/F76 8.2889 Tf 79.523 0 Td [(H)]TJ/F150 9.5641 Tf 9.259 0 Td [(D)]TJ/F154 9.5641 Tf 10.116 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(V)]TJ/F76 8.2889 Tf 5.287 0 Td [(D)]TJ/F150 9.5641 Tf 8.409 0 Td [(!)]TJ/F76 8.2889 Tf 13.167 0 Td [(C)]TJ/F154 9.5641 Tf 5.633 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(;)]TJ/F76 8.2889 Tf 4.759 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.857 -3.472 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(by)]TJ ET 1 0 0 1 37.134 256.01 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -256.01 cm BT /F152 9.5641 Tf 62.638 245.865 Td [(\032)]TJ/F76 8.2889 Tf 5.911 -7.898 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(f)]TJ/F154 9.5641 Tf 4.166 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.26 0 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)]TJ/F76 8.2889 Tf -178.868 -10.461 Td [(H)]TJ/F22 5.8022 Tf 5.926 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(.\036)-50(;)-167(\040)-90(/.)]TJ/F76 8.2889 Tf 29.052 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F76 8.2889 Tf 3.568 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.\036)-50(.)]TJ/F76 8.2889 Tf 13.131 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.26 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/:)]TJ/F22 8.2889 Tf 234.266 4.931 Td [(\0502.7\051)]TJ ET 1 0 0 1 37.134 232.437 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -232.437 cm BT /F22 8.2889 Tf 37.134 211.181 Td [(Then)]TJ ET 1 0 0 1 58.237 211.181 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -58.237 -211.181 cm BT /F22 8.2889 Tf 58.237 211.181 Td [(\0502.1\051)]TJ ET 1 0 0 1 75.909 211.181 cm 0 g 0 G 1 0 0 1 -75.909 -211.181 cm BT /F22 8.2889 Tf 77.981 211.181 Td [(can)-250(be)-250(rewritten)-250(as)]TJ ET 1 0 0 1 37.134 211.181 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -211.181 cm BT /F152 9.5641 Tf 62.638 201.191 Td [(\032)]TJ/F76 8.2889 Tf 5.911 -7.899 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\036)]TJ/F150 6.6948 Tf 5.997 3.95 Td [(00)]TJ/F154 9.5641 Tf 4.113 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.315 0 Td [(\036)]TJ/F150 6.6948 Tf 5.996 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)-50(.)]TJ/F76 8.2889 Tf 13.132 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-167(\040)-90(.)]TJ/F76 8.2889 Tf 19.488 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.792 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F154 9.5641 Tf 4.8 0 Td [(;)]TJ/F76 8.2889 Tf -188.304 -10.663 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\040)]TJ/F150 6.6948 Tf 7.594 3.95 Td [(00)]TJ/F154 9.5641 Tf 4.113 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(\000)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\040)]TJ/F150 6.6948 Tf 7.594 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(H)]TJ/F22 5.8022 Tf 5.927 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(.\036)-50(.)]TJ/F76 8.2889 Tf 13.132 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/;)-167(\040)-90(.)]TJ/F76 8.2889 Tf 19.488 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(//)]TJ/F150 9.5641 Tf 9.791 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(:)]TJ/F22 8.2889 Tf 224.07 5.134 Td [(\0502.8\051)]TJ ET 1 0 0 1 37.134 187.763 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -187.763 cm BT /F22 8.2889 Tf 37.134 166.506 Td [(Let)]TJ ET 1 0 0 1 37.134 166.506 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -166.506 cm BT /F154 9.5641 Tf 61.044 144.703 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(1)]TJ/F150 9.5641 Tf 6.514 1.435 Td [(D)]TJ/F76 8.2889 Tf 11.312 6.704 Td [(c)]TJ/F150 9.5641 Tf 6.44 0 Td [(\000)]TJ/F152 9.5641 Tf 9.585 8.45 Td [(p)]TJ ET q 1 0 0 1 108.056 160.049 cm []0 d 0 J 0.383 w 0 0 m 42.4 0 l S Q BT /F76 8.2889 Tf 108.056 151.407 Td [(c)]TJ/F22 5.8022 Tf 4.314 2.764 Td [(2)]TJ/F150 9.5641 Tf 5.983 -2.764 Td [(C)]TJ/F22 8.2889 Tf 9.585 0 Td [(4)]TJ/F76 8.2889 Tf 4.8 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ ET q 1 0 0 1 84.102 147.094 cm []0 d 0 J 0.44 w 0 0 m 66.353 0 l S Q BT /F22 8.2889 Tf 110.646 137.912 Td [(2)]TJ/F76 8.2889 Tf 4.799 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(1)]TJ/F154 9.5641 Tf 31.597 8.225 Td [(;)-1900(\025)]TJ/F22 5.8022 Tf 26.569 -1.435 Td [(2)]TJ/F150 9.5641 Tf 6.514 1.435 Td [(D)]TJ/F76 8.2889 Tf 11.312 6.704 Td [(c)]TJ/F150 9.5641 Tf 6.44 0 Td [(C)]TJ/F152 9.5641 Tf 9.585 8.45 Td [(p)]TJ ET q 1 0 0 1 220 160.049 cm []0 d 0 J 0.383 w 0 0 m 42.4 0 l S Q BT /F76 8.2889 Tf 220 151.407 Td [(c)]TJ/F22 5.8022 Tf 4.314 2.764 Td [(2)]TJ/F150 9.5641 Tf 5.983 -2.764 Td [(C)]TJ/F22 8.2889 Tf 9.586 0 Td [(4)]TJ/F76 8.2889 Tf 4.799 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ ET q 1 0 0 1 196.046 147.094 cm []0 d 0 J 0.44 w 0 0 m 66.353 0 l S Q BT /F22 8.2889 Tf 222.59 137.912 Td [(2)]TJ/F76 8.2889 Tf 4.8 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.434 Td [(1)]TJ/F154 9.5641 Tf 31.597 8.225 Td [(;)]TJ ET 1 0 0 1 37.134 144.703 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -144.703 cm BT /F154 9.5641 Tf 61.044 116.573 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.435 Td [(3)]TJ/F150 9.5641 Tf 6.514 1.435 Td [(D)]TJ/F76 8.2889 Tf 11.312 6.704 Td [(c)]TJ/F150 9.5641 Tf 6.44 0 Td [(\000)]TJ/F152 9.5641 Tf 9.585 8.45 Td [(p)]TJ ET q 1 0 0 1 108.056 131.919 cm []0 d 0 J 0.383 w 0 0 m 42.4 0 l S Q BT /F76 8.2889 Tf 108.056 123.277 Td [(c)]TJ/F22 5.8022 Tf 4.314 2.764 Td [(2)]TJ/F150 9.5641 Tf 5.983 -2.764 Td [(C)]TJ/F22 8.2889 Tf 9.585 0 Td [(4)]TJ/F76 8.2889 Tf 4.8 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(2)]TJ ET q 1 0 0 1 84.102 118.964 cm []0 d 0 J 0.44 w 0 0 m 66.353 0 l S Q BT /F22 8.2889 Tf 110.646 109.782 Td [(2)]TJ/F76 8.2889 Tf 4.799 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F154 9.5641 Tf 31.597 8.225 Td [(;)-1900(\025)]TJ/F22 5.8022 Tf 26.569 -1.435 Td [(4)]TJ/F150 9.5641 Tf 6.514 1.435 Td [(D)]TJ/F76 8.2889 Tf 11.312 6.704 Td [(c)]TJ/F150 9.5641 Tf 6.44 0 Td [(C)]TJ/F152 9.5641 Tf 9.585 8.45 Td [(p)]TJ ET q 1 0 0 1 220 131.919 cm []0 d 0 J 0.383 w 0 0 m 42.4 0 l S Q BT /F76 8.2889 Tf 220 123.277 Td [(c)]TJ/F22 5.8022 Tf 4.314 2.764 Td [(2)]TJ/F150 9.5641 Tf 5.983 -2.764 Td [(C)]TJ/F22 8.2889 Tf 9.586 0 Td [(4)]TJ/F76 8.2889 Tf 4.799 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.434 Td [(2)]TJ ET q 1 0 0 1 196.046 118.964 cm []0 d 0 J 0.44 w 0 0 m 66.353 0 l S Q BT /F22 8.2889 Tf 222.59 109.782 Td [(2)]TJ/F76 8.2889 Tf 4.8 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.434 Td [(2)]TJ/F154 9.5641 Tf 31.597 8.225 Td [(:)]TJ ET 1 0 0 1 37.134 116.573 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -116.573 cm BT /F22 8.2889 Tf 37.134 96.177 Td [(Then)-250(it)-250(is)-250(easy)-250(to)-250(verify)-250(that)]TJ ET 1 0 0 1 37.134 96.177 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -96.177 cm BT /F154 9.5641 Tf 61.044 80.903 Td [(\025)]TJ/F22 5.8022 Tf 5.232 -1.434 Td [(1)]TJ/F154 9.5641 Tf 6.514 1.434 Td [(<)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F154 9.5641 Tf 7.456 0 Td [(<)-278(\025)]TJ/F22 5.8022 Tf 15.348 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(;)-1900(\025)]TJ/F22 5.8022 Tf 26.569 -1.434 Td [(3)]TJ/F154 9.5641 Tf 6.515 1.434 Td [(<)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F154 9.5641 Tf 7.456 0 Td [(<)-278(\025)]TJ/F22 5.8022 Tf 15.348 -1.434 Td [(4)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(;)]TJ ET 1 0 0 1 37.134 80.903 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -80.903 cm BT /F76 8.2889 Tf 61.044 67.454 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(\025)]TJ/F22 5.8022 Tf 5.232 3.95 Td [(2)]TJ/F76 5.8022 Tf 0 -6.523 Td [(i)]TJ/F150 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.315 0 Td [(\025)]TJ/F76 5.8022 Tf 5.231 -1.435 Td [(i)]TJ/F150 9.5641 Tf 4.283 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(1)]TJ/F150 9.5641 Tf 6.515 1.435 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F154 9.5641 Tf 4.8 0 Td [(;)]TJ/F76 8.2889 Tf 13.048 0 Td [(i)]TJ/F150 9.5641 Tf 5.027 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(1)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(2)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ ET 1 0 0 1 37.134 67.454 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -67.454 cm BT /F76 8.2889 Tf 61.044 52.441 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(\025)]TJ/F22 5.8022 Tf 5.232 3.95 Td [(2)]TJ/F76 5.8022 Tf 0 -6.523 Td [(i)]TJ/F150 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.315 0 Td [(\025)]TJ/F76 5.8022 Tf 5.231 -1.435 Td [(i)]TJ/F150 9.5641 Tf 4.283 1.435 Td [(\000)]TJ/F154 9.5641 Tf 9.585 0 Td [(\014)]TJ/F22 5.8022 Tf 5.394 -1.435 Td [(2)]TJ/F150 9.5641 Tf 6.515 1.435 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F154 9.5641 Tf 4.8 0 Td [(;)]TJ/F76 8.2889 Tf 13.048 0 Td [(i)]TJ/F150 9.5641 Tf 5.027 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(3)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(4)]TJ/F154 9.5641 Tf 4.799 0 Td [(:)]TJ ET 1 0 0 1 37.134 52.441 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -11.955 cm 0 g 0 G 1 0 0 1 466.251 0 cm 0 g 0 G endstream endobj 144 0 obj << /Type /XObject /Subtype /Form /FormType 1 /PTEX.FileName (./main.pdf) /PTEX.PageNumber 3 /PTEX.InfoDict 100 0 R /Matrix [ 1 0 0 1 0 0 ] /BBox [ 0 0 544.252 742.677 ] /Resources << /Font << /F150 97 0 R /F156 48 0 R /F76 96 0 R /F123 93 0 R /F154 59 0 R /F152 60 0 R /F22 92 0 R >> /ProcSet [ /PDF /Text ] >> /Length 35225 >> stream 1 0 0 1 40.867 702.503 cm 0 g 0 G 1 0 0 1 -40.867 -702.503 cm BT /F22 6.6311 Tf 40.867 702.503 Td [(234)]TJ/F76 6.6311 Tf 115.738 0 Td [(Z.)-250(Yuan,)-250(X.)-250(Zou)-250(/)-250(Nonlinear)-250(Analysis:)-333(Real)-250(World)-250(Applications)-250(11)-250(\0502010\051)-250(232\025245)]TJ ET 1 0 0 1 507.118 702.503 cm 0 g 0 G 1 0 0 1 -507.118 -702.503 cm BT /F22 8.2889 Tf 52.822 680.585 Td [(In)-206(reality,)-206(spatial)-205(variance)-206(may)-206(be)-206(significant)-206(and)-205(species)-206(may)-206(disperse.)-206(For)-206(simplicity,)-206(we)-205(only)-206(consider)-206(one-dimensional)]TJ ET 1 0 0 1 40.867 680.585 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -680.585 cm BT /F22 8.2889 Tf 40.867 670.125 Td [(space)]TJ/F76 8.2889 Tf 24.231 0 Td [(R)]TJ/F22 8.2889 Tf 4.866 0 Td [(.)-357(Assuming)-356(a)-357(random)-356(dispersal)-357(mechanism)-356(and)-356(by)-357(incorporating)-356(a)-357(spatial)-356(variable)]TJ/F76 8.2889 Tf 323.584 0 Td [(x)]TJ/F22 8.2889 Tf 7.024 0 Td [(into)]TJ ET 1 0 0 1 418.828 670.125 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -418.828 -670.125 cm BT /F22 8.2889 Tf 418.828 670.125 Td [(\0501.2\051)]TJ ET 1 0 0 1 436.499 670.125 cm 0 g 0 G 1 0 0 1 -436.499 -670.125 cm BT /F22 8.2889 Tf 436.499 670.125 Td [(,)-357(we)-356(are)-356(given)-357(the)]TJ ET 1 0 0 1 40.867 670.125 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -670.125 cm BT /F22 8.2889 Tf 40.867 659.664 Td [(following)-250(reaction-diffusion)-250(system)]TJ ET 1 0 0 1 40.867 659.664 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -659.664 cm BT /F152 9.5641 Tf 66.371 649.789 Td [(\032)]TJ/F76 8.2889 Tf 5.911 -7.899 Td [(u)]TJ/F76 5.8022 Tf 4.79 -1.434 Td [(t)]TJ/F150 9.5641 Tf 5.705 1.434 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(uf)]TJ/F154 9.5641 Tf 8.956 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.434 Td [(u)]TJ/F150 9.5641 Tf 6.917 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(v)-40(/)]TJ/F150 9.5641 Tf 10.733 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.434 Td [(1)]TJ/F76 8.2889 Tf 3.858 1.434 Td [(u)]TJ/F76 5.8022 Tf 4.79 -1.434 Td [(xx)]TJ/F154 9.5641 Tf 6.196 1.434 Td [(;)]TJ -100.356 -10.461 Td [(v)]TJ/F76 5.8022 Tf 4.658 -1.434 Td [(t)]TJ/F150 9.5641 Tf 5.705 1.434 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(v)]TJ/F76 8.2889 Tf 5.04 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(u)]TJ/F150 9.5641 Tf 6.916 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(v)-40(/)]TJ/F150 9.5641 Tf 10.733 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(v)]TJ/F76 5.8022 Tf 4.658 -1.434 Td [(xx)]TJ/F154 9.5641 Tf 6.195 1.434 Td [(:)]TJ/F22 8.2889 Tf 315.989 4.932 Td [(\0501.5\051)]TJ ET 1 0 0 1 40.867 636.361 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -636.361 cm BT /F22 8.2889 Tf 40.867 615.01 Td [(Here,)]TJ/F76 8.2889 Tf 22.922 0 Td [(u)]TJ/F150 9.5641 Tf 9.006 0 Td [(\021)]TJ/F76 8.2889 Tf 11.676 0 Td [(u)]TJ/F154 9.5641 Tf 4.791 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(x)]TJ/F154 9.5641 Tf 4.07 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 6.247 0 Td [(and)]TJ/F154 9.5641 Tf 16.929 0 Td [(v)]TJ/F150 9.5641 Tf 9.256 0 Td [(\021)]TJ/F154 9.5641 Tf 11.675 0 Td [(v)-40(.)]TJ/F76 8.2889 Tf 8.608 0 Td [(x)]TJ/F154 9.5641 Tf 4.07 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(t)]TJ/F154 9.5641 Tf 3.642 0 Td [(/)]TJ/F22 8.2889 Tf 6.248 0 Td [(represent)-323(densities)-324(of)-323(the)-323(pioneer)-324(and)-323(the)-323(climax)-324(species)-323(respectively)-323(at)-324(location)]TJ/F76 8.2889 Tf 316.246 0 Td [(x)]TJ/F22 8.2889 Tf 6.75 0 Td [(at)]TJ ET 1 0 0 1 40.867 615.01 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -615.01 cm BT /F22 8.2889 Tf 40.867 604.549 Td [(time)]TJ/F76 8.2889 Tf 19.881 0 Td [(t)]TJ/F22 8.2889 Tf 3.643 0 Td [(,)-273(and)]TJ/F76 8.2889 Tf 20.708 0 Td [(d)]TJ/F76 5.8022 Tf 4.608 -1.434 Td [(i)]TJ/F154 9.5641 Tf 5.295 1.434 Td [(>)]TJ/F22 8.2889 Tf 10.597 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(i)]TJ/F150 9.5641 Tf 5.507 0 Td [(D)]TJ/F22 8.2889 Tf 10.597 0 Td [(1)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(2,)-273(account)-272(for)-273(the)-272(species)-273(dispersion)-273(in)-272(the)-273(spatially)-272(continuous)-273(space)]TJ/F76 8.2889 Tf 268.456 0 Td [(R)]TJ/F22 8.2889 Tf 4.866 0 Td [(.)-273(An)-272(immediate)-273(problem)]TJ ET 1 0 0 1 40.867 604.549 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -604.549 cm BT /F22 8.2889 Tf 40.867 594.089 Td [(for)]TJ ET 1 0 0 1 54.179 594.089 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -54.179 -594.089 cm BT /F22 8.2889 Tf 54.179 594.089 Td [(\0501.5\051)]TJ ET 1 0 0 1 71.851 594.089 cm 0 g 0 G 1 0 0 1 -71.851 -594.089 cm BT /F22 8.2889 Tf 74.305 594.089 Td [(is)-296(the)-296(impact)-296(of)-296(the)-296(diffusion)-296(on)-296(the)-296(dynamics)-296(of)-296(solutions.)-297(Indeed,)-296(Buchanan)-296([)]TJ ET 1 0 0 1 376.923 594.089 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -376.923 -594.089 cm BT /F22 8.2889 Tf 376.923 594.089 Td [(3)]TJ ET 1 0 0 1 381.722 594.089 cm 0 g 0 G 1 0 0 1 -381.722 -594.089 cm BT /F22 8.2889 Tf 381.722 594.089 Td [(])-296(already)-296(investigated)-296(the)-296(Turing)]TJ ET 1 0 0 1 40.867 594.089 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -594.089 cm BT /F22 8.2889 Tf 40.867 583.628 Td [(instability)-210(for)]TJ ET 1 0 0 1 93.69 583.628 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -93.69 -583.628 cm BT /F22 8.2889 Tf 93.69 583.628 Td [(\0501.5\051)]TJ ET 1 0 0 1 111.362 583.628 cm 0 g 0 G 1 0 0 1 -111.362 -583.628 cm BT /F22 8.2889 Tf 111.362 583.628 Td [(,)-210(the)-211(instability)-210(caused)-211(by)-210(diffusion.)-211(Another)-210(important)-211(topic)-210(for)]TJ ET 1 0 0 1 352.903 583.628 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -352.903 -583.628 cm BT /F22 8.2889 Tf 352.903 583.628 Td [(\0501.5\051)]TJ ET 1 0 0 1 370.575 583.628 cm 0 g 0 G 1 0 0 1 -370.575 -583.628 cm BT /F22 8.2889 Tf 372.319 583.628 Td [(is)-210(traveling)-211(wave)-210(solutions,)-211(because)]TJ ET 1 0 0 1 40.867 583.628 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -583.628 cm BT /F22 8.2889 Tf 40.867 573.167 Td [(such)-279(solutions)-280(explain)-279(spatial)-279(spread)-280(or)-279(invasion)-279(of)-280(the)-279(species.)-279(A)-280(traveling)-279(wave)-279(solution)-280(of)]TJ ET 1 0 0 1 395.442 573.167 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -395.442 -573.167 cm BT /F22 8.2889 Tf 395.442 573.167 Td [(\0501.5\051)]TJ ET 1 0 0 1 413.113 573.167 cm 0 g 0 G 1 0 0 1 -413.113 -573.167 cm BT /F22 8.2889 Tf 415.429 573.167 Td [(is)-279(a)-280(solution)-279(of)-279(the)-280(form)]TJ ET 1 0 0 1 40.867 573.167 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -573.167 cm BT /F76 8.2889 Tf 40.867 562.706 Td [(u)]TJ/F154 9.5641 Tf 4.791 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(x)]TJ/F154 9.5641 Tf 4.069 0 Td [(/)]TJ/F150 9.5641 Tf 6.488 0 Td [(D)]TJ/F154 9.5641 Tf 10.381 0 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(x)]TJ/F150 9.5641 Tf 6.301 0 Td [(C)]TJ/F76 8.2889 Tf 9.691 0 Td [(ct)]TJ/F154 9.5641 Tf 7.373 0 Td [(/)]TJ/F22 8.2889 Tf 5.742 0 Td [(and)]TJ/F154 9.5641 Tf 16.424 0 Td [(v)-40(.)]TJ/F76 8.2889 Tf 8.607 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(x)]TJ/F154 9.5641 Tf 4.07 0 Td [(/)]TJ/F150 9.5641 Tf 6.488 0 Td [(D)]TJ/F154 9.5641 Tf 10.38 0 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(x)]TJ/F150 9.5641 Tf 6.3 0 Td [(C)]TJ/F76 8.2889 Tf 9.691 0 Td [(ct)]TJ/F154 9.5641 Tf 7.373 0 Td [(/)]TJ/F22 8.2889 Tf 5.743 0 Td [(with)]TJ/F154 9.5641 Tf 19.896 0 Td [(\036)-50(;)-167(\040)]TJ/F150 9.5641 Tf 21.271 0 Td [(2)]TJ/F76 8.2889 Tf 8.937 0 Td [(C)]TJ/F22 5.8022 Tf 5.632 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.858 -3.472 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(;)]TJ/F76 8.2889 Tf 4.759 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(/)]TJ/F22 8.2889 Tf 5.742 0 Td [(being)-262(called)-263(the)-262(profile)-263(of)-262(the)-262(traveling)-263(wave)-262(and)]TJ/F76 8.2889 Tf 189.431 0 Td [(c)]TJ/F154 9.5641 Tf 7.235 0 Td [(>)]TJ/F22 8.2889 Tf 10.381 0 Td [(0)]TJ ET 1 0 0 1 40.867 562.706 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -562.706 cm BT /F22 8.2889 Tf 40.867 552.246 Td [(being)-259(the)-260(wave)-259(speed.)-259(When)]TJ/F76 8.2889 Tf 111.946 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(2)]TJ/F22 8.2889 Tf 6.007 1.435 Td [(is)-259(small)-260(relative)-259(to)]TJ/F76 8.2889 Tf 72.165 0 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(1)]TJ/F22 8.2889 Tf 3.857 1.435 Td [(,)-259(using)-260(the)-259(singular)-259(perturbation)-260(method,)-259(Brown)-259(et)-259(al.)-260([)]TJ ET 1 0 0 1 454.073 552.246 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -454.073 -552.246 cm BT /F22 8.2889 Tf 454.073 552.246 Td [(1)]TJ ET 1 0 0 1 458.872 552.246 cm 0 g 0 G 1 0 0 1 -458.872 -552.246 cm BT /F22 8.2889 Tf 458.872 552.246 Td [(])-259(studied)-260(the)]TJ ET 1 0 0 1 40.867 552.246 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -552.246 cm BT /F22 8.2889 Tf 40.867 541.785 Td [(existence)-285(of)-286(traveling)-285(wave)-286(solution)-285(of)]TJ ET 1 0 0 1 191.474 541.785 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -191.474 -541.785 cm BT /F22 8.2889 Tf 191.474 541.785 Td [(\0501.5\051)]TJ ET 1 0 0 1 209.146 541.785 cm 0 g 0 G 1 0 0 1 -209.146 -541.785 cm BT /F22 8.2889 Tf 211.512 541.785 Td [(connecting)-286(two)-285(boundary)-285(equilibria.)-286(These)-286(traveling)-285(waves)-286(gives)-285(a)-286(patter)1(n)-286(of)]TJ ET 1 0 0 1 40.867 541.785 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -541.785 cm BT /F22 8.2889 Tf 40.867 531.324 Td [(switching:)-277(spatial)-278(domain)-277(initially)-278(occupied)-277(by)-278(pioneering)-277(specie)-277(will)-278(be)-277(eventually)-278(taken)-277(over)-278(fu)1(lly)-278(by)-277(the)-278(climax)-277(species)]TJ ET 1 0 0 1 40.867 531.324 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -531.324 cm BT /F22 8.2889 Tf 40.867 520.863 Td [(with)-335(certain)-335(speed.)-335(Thus,)-335(no)-335(co-existence)-335(is)-334(observed)-335(in)-335(such)-335(a)-335(situation.)-335(On)-335(the)-335(other)-335(hand,)-335(co-existence)-334(is)-335(common)-335(in)]TJ ET 1 0 0 1 40.867 520.863 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -520.863 cm BT /F22 8.2889 Tf 40.867 510.402 Td [(the)-243(real)-243(world.)-243(As)-243(we)-242(mentioned)-243(above,)-243(Selgrade)-243(and)-243(Namkoong)-243([)]TJ ET 1 0 0 1 291 510.402 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -291 -510.402 cm BT /F22 8.2889 Tf 291 510.402 Td [(18)]TJ ET 1 0 0 1 300.598 510.402 cm 0 g 0 G 1 0 0 1 -300.598 -510.402 cm BT /F22 8.2889 Tf 300.598 510.402 Td [(,)]TJ ET 1 0 0 1 302.538 510.402 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -302.538 -510.402 cm BT /F22 8.2889 Tf 302.538 510.402 Td [(19)]TJ ET 1 0 0 1 312.136 510.402 cm 0 g 0 G 1 0 0 1 -312.136 -510.402 cm BT /F22 8.2889 Tf 312.136 510.402 Td [(])-243(obtained)-243(stable)-243(co-existence)-243(equilibrium)-242(for)]TJ ET 1 0 0 1 487.498 510.402 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -487.498 -510.402 cm BT /F22 8.2889 Tf 487.498 510.402 Td [(\0501.2\051)]TJ ET 1 0 0 1 505.17 510.402 cm 0 g 0 G 1 0 0 1 -505.17 -510.402 cm BT /F22 8.2889 Tf 505.17 510.402 Td [(.)]TJ ET 1 0 0 1 40.867 510.402 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -510.402 cm BT /F22 8.2889 Tf 40.867 499.942 Td [(One)-266(may)-265(naturally)-266(ask:)-266(does)-266(syste)1(m)]TJ ET 1 0 0 1 180.777 499.942 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -180.777 -499.942 cm BT /F22 8.2889 Tf 180.777 499.942 Td [(\0501.5\051)]TJ ET 1 0 0 1 198.449 499.942 cm 0 g 0 G 1 0 0 1 -198.449 -499.942 cm BT /F22 8.2889 Tf 200.651 499.942 Td [(allow)-266(traveling)-265(wave)-266(solutions)-266(connecting)-266(a)-265(boundary)-266(equilibrium)-266(\050the)-265(pioneer-)]TJ ET 1 0 0 1 40.867 499.942 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -499.942 cm BT /F22 8.2889 Tf 40.867 489.481 Td [(invasive)-336(equilibrium\051)-337(and)-336(a)-337(co-existenc)1(e)-337(equilibrium?)-337(This)-336(question)-337(co)1(nstitutes)-337(the)-336(purpose)-337(of)-336(this)-336(paper.)-337(In)-337(this)-336(paper,)]TJ ET 1 0 0 1 40.867 489.481 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -489.481 cm BT /F22 8.2889 Tf 40.867 479.02 Td [(we)-366(combine)-367(the)-366(techniques)-367(developed)-366(in)-367(recent)-367(work)-366([)]TJ ET 1 0 0 1 258.102 479.02 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -258.102 -479.02 cm BT /F22 8.2889 Tf 258.102 479.02 Td [(27)]TJ ET 1 0 0 1 267.701 479.02 cm 0 g 0 G 1 0 0 1 -267.701 -479.02 cm BT /F22 8.2889 Tf 267.701 479.02 Td [(,)]TJ ET 1 0 0 1 269.64 479.02 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -269.64 -479.02 cm BT /F22 8.2889 Tf 269.64 479.02 Td [(31)]TJ ET 1 0 0 1 279.239 479.02 cm 0 g 0 G 1 0 0 1 -279.239 -479.02 cm BT /F22 8.2889 Tf 279.239 479.02 Td [(])-367(with)-366(the)-367(Schauder's)-366(fixed)-367(point)-366(theorem)-367(to)-366(show)-367(that)-366(in)]TJ ET 1 0 0 1 40.867 479.02 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -479.02 cm BT /F22 8.2889 Tf 40.867 468.559 Td [(some)-218(parameter)-218(ranges,)-217(system)]TJ ET 1 0 0 1 162.64 468.559 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -162.64 -468.559 cm BT /F22 8.2889 Tf 162.64 468.559 Td [(\0501.5\051)]TJ ET 1 0 0 1 180.312 468.559 cm 0 g 0 G 1 0 0 1 -180.312 -468.559 cm BT /F22 8.2889 Tf 182.118 468.559 Td [(does)-218(support)-218(traveling)-217(waves)-218(connecting)-218(the)-218(pioneer-invasion-only)-218(equilibrium)-217(and)-218(a)]TJ ET 1 0 0 1 40.867 468.559 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -468.559 cm BT /F22 8.2889 Tf 40.867 458.099 Td [(co-existence)-227(equilibrium.)-227(We)-228(point)-227(out)-227(that)-227(this)-227(approach)-228(has)-227(also)-227(been)-227(applied)-227(recently)-227(by)-228([)]TJ ET 1 0 0 1 392.371 458.099 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -392.371 -458.099 cm BT /F22 8.2889 Tf 392.371 458.099 Td [(12\02515)]TJ ET 1 0 0 1 416.367 458.099 cm 0 g 0 G 1 0 0 1 -416.367 -458.099 cm BT /F22 8.2889 Tf 416.367 458.099 Td [(,)]TJ ET 1 0 0 1 418.307 458.099 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -418.307 -458.099 cm BT /F22 8.2889 Tf 418.307 458.099 Td [(28)]TJ ET 1 0 0 1 427.905 458.099 cm 0 g 0 G 1 0 0 1 -427.905 -458.099 cm BT /F22 8.2889 Tf 427.905 458.099 Td [(])-227(to)-227(various)-228(reaction-)]TJ ET 1 0 0 1 40.867 458.099 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -458.099 cm BT /F22 8.2889 Tf 40.867 447.638 Td [(diffusion)-250(systems)-250(with)-250(delays.)-250(The)-250(main)-250(results)-250(are)-250(summarized)-250(in)-250(the)-250(following)-250(theorem:)]TJ ET 1 0 0 1 40.867 447.638 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -19.503 cm 0 g 0 G 1 0 0 1 -36.882 -428.135 cm BT /F123 8.2889 Tf 40.867 428.135 Td [(Theorem)-250(1.)]TJ ET 1 0 0 1 85.867 428.135 cm 0 g 0 G 1 0 0 1 -85.867 -428.135 cm BT /F76 8.2889 Tf 89.852 428.135 Td [(Assume)-250(that)]TJ ET 1 0 0 1 137.392 428.135 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -137.392 -428.135 cm BT /F22 8.2889 Tf 137.392 428.135 Td [(\0501.3\051)]TJ ET 1 0 0 1 155.064 428.135 cm 0 g 0 G 1 0 0 1 -155.064 -428.135 cm BT /F156 8.2889 Tf 157.136 428.135 Td [(and)]TJ ET 1 0 0 1 173.026 428.135 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -173.026 -428.135 cm BT /F22 8.2889 Tf 173.026 428.135 Td [(\0501.4\051)]TJ ET 1 0 0 1 190.698 428.135 cm 0 g 0 G 1 0 0 1 -190.698 -428.135 cm BT /F76 8.2889 Tf 192.77 428.135 Td [(and)-250(d)]TJ/F22 5.8022 Tf 20.498 -1.434 Td [(2)]TJ/F150 9.5641 Tf 6.515 1.434 Td [(\025)]TJ/F76 8.2889 Tf 9.868 0 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(=)]TJ/F22 8.2889 Tf 4.495 0 Td [(2)]TJ/F76 8.2889 Tf 6.871 0 Td [(hold.)-250(Then,)]TJ ET 1 0 0 1 40.867 428.135 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -14.267 cm 0 g 0 G 1 0 0 1 -40.867 -413.868 cm BT /F22 8.2889 Tf 43.353 413.868 Td [(\050i\051)]TJ ET 1 0 0 1 51.965 413.868 cm 0 g 0 G 1 0 0 1 -51.965 -413.868 cm BT /F76 8.2889 Tf 55.95 413.868 Td [(for)-390(any)-390(c)]TJ/F150 9.5641 Tf 40.159 0 Td [(\025)]TJ/F22 8.2889 Tf 12.844 0 Td [(2)]TJ/F150 9.5641 Tf 4.799 7.152 Td [(p)]TJ ET q 1 0 0 1 121.843 421.244 cm []0 d 0 J 0.45 w 0 0 m 43.616 0 l S Q BT /F76 8.2889 Tf 121.843 413.868 Td [(d)]TJ/F22 5.8022 Tf 4.609 -1.435 Td [(2)]TJ/F76 8.2889 Tf 3.857 1.435 Td [(g)]TJ/F154 9.5641 Tf 5.003 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(/)]TJ/F76 8.2889 Tf 3.568 0 Td [(,)-390(system)]TJ ET 1 0 0 1 198.989 413.868 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -198.989 -413.868 cm BT /F22 8.2889 Tf 198.989 413.868 Td [(\0501.5\051)]TJ ET 1 0 0 1 216.661 413.868 cm 0 g 0 G 1 0 0 1 -216.661 -413.868 cm BT /F76 8.2889 Tf 219.894 413.868 Td [(has)-390(a)-390(co-invasion)-390(traveling)-390(wave)-390(front)-390(connecting)-390(the)-390(pioneer-invasion-only)]TJ ET 1 0 0 1 40.867 413.868 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -413.868 cm BT /F76 8.2889 Tf 55.95 403.407 Td [(equilibrium)]TJ/F154 9.5641 Tf 44.42 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(0)]TJ/F154 9.5641 Tf 4.8 0 Td [(/)]TJ/F76 8.2889 Tf 5.639 0 Td [(and)-250(a)-250(coexistence)-250(equilibrium)]TJ/F154 9.5641 Tf 110.234 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 3.472 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.472 Td [(;)-167(v)]TJ/F150 6.6948 Tf 9.8 3.472 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.472 Td [(/)]TJ/F76 8.2889 Tf 3.568 0 Td [(,)-250(with)-250(speed)-250(c)-70(.)]TJ ET 1 0 0 1 40.867 403.407 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.167 cm 0 g 0 G 1 0 0 1 -40.867 -393.24 cm BT /F22 8.2889 Tf 40.867 393.24 Td [(\050ii\051)]TJ ET 1 0 0 1 51.965 393.24 cm 0 g 0 G 1 0 0 1 -51.965 -393.24 cm BT /F76 8.2889 Tf 55.95 393.24 Td [(c)]TJ/F150 6.6948 Tf 4.315 3.472 Td [(\003)]TJ/F150 9.5641 Tf 6.975 -3.472 Td [(V)56(D)]TJ/F22 8.2889 Tf 12.547 0 Td [(2)]TJ/F150 9.5641 Tf 4.799 7.152 Td [(p)]TJ ET q 1 0 0 1 92.678 400.617 cm []0 d 0 J 0.45 w 0 0 m 43.616 0 l S Q BT /F76 8.2889 Tf 92.678 393.24 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.434 Td [(2)]TJ/F76 8.2889 Tf 3.858 1.434 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(=)]TJ/F76 8.2889 Tf 4.495 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(/)]TJ/F76 8.2889 Tf 5.769 0 Td [(is)-266(the)-265(minimal)-266(wave)-265(speed)-266(in)-266(the)-265(sense)-266(for)-266(any)-265(c)]TJ/F150 9.5641 Tf 179.133 0 Td [(2)]TJ/F154 9.5641 Tf 9.004 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(c)]TJ/F150 6.6948 Tf 4.314 3.472 Td [(\003)]TJ/F154 9.5641 Tf 3.986 -3.472 Td [(/)]TJ/F76 8.2889 Tf 5.769 0 Td [(there)-266(will)-265(be)-266(no)-266(traveling)-265(front)-266(with)-265(speed)]TJ ET 1 0 0 1 40.867 393.24 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -393.24 cm BT /F76 8.2889 Tf 55.95 382.78 Td [(c)-71(,)-250(connecting)-250(these)-250(tw)1(o)-250(equilibria.)]TJ ET 1 0 0 1 40.867 382.78 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -382.78 cm BT /F22 8.2889 Tf 52.822 367.002 Td [(The)-173(rest)-172(of)-173(this)-173(paper)-173(is)-172(organized)-173(as)-173(follows:)-173(Section)]TJ ET 1 0 0 1 250.258 367.002 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -250.258 -367.002 cm BT /F22 8.2889 Tf 250.258 367.002 Td [(2)]TJ ET 1 0 0 1 255.057 367.002 cm 0 g 0 G 1 0 0 1 -255.057 -367.002 cm BT /F22 8.2889 Tf 256.489 367.002 Td [(contains)-173(some)-172(preliminary)-173(results)-173(about)-172(the)-173(approach.)-173(In)-173(Section)]TJ ET 1 0 0 1 500.379 367.002 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -500.379 -367.002 cm BT /F22 8.2889 Tf 500.379 367.002 Td [(3)]TJ ET 1 0 0 1 505.179 367.002 cm 0 g 0 G 1 0 0 1 -505.179 -367.002 cm BT /F22 8.2889 Tf 505.179 367.002 Td [(,)]TJ ET 1 0 0 1 40.867 367.002 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -367.002 cm BT /F22 8.2889 Tf 40.867 356.541 Td [(by)-285(constructing)-285(a)-285(pair)-285(of)-286(appropr)1(iated)-286(upper)-285(and)-285(lower)-285(solutions,)-285(we)-285(obtain)-285(a)-285(subset.)-286(Applying)-285(the)-285(Schauder's)-285(fixed)-285(point)]TJ ET 1 0 0 1 40.867 356.541 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -356.541 cm BT /F22 8.2889 Tf 40.867 346.08 Td [(theorem)-207(to)-208(the)-207(corresponding)-207(operator)-207(in)-208(this)-207(subset,)-207(we)-208(prove)-207(the)-207(existence)-208(of)-207(monotone)-207(traveling)-208(wave)-207(fronts)-207(connecting)]TJ ET 1 0 0 1 40.867 346.08 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -346.08 cm BT /F22 8.2889 Tf 40.867 335.62 Td [(a)-369(boundary)-368(equilibrium)-369(and)-369(a)-369(co-existence)-368(equilibrium.)-370(We)-368(also)-369(indentify)-369(the)-369(minimal)-368(wave)-369(speed)-369(for)-368(such)-369(monotone)]TJ ET 1 0 0 1 40.867 335.62 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -335.62 cm BT /F22 8.2889 Tf 40.867 325.159 Td [(traveling)-250(wave)-250(fronts)-250(in)-250(this)-250(section.)-250(Section)]TJ ET 1 0 0 1 211.501 325.159 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -211.501 -325.159 cm BT /F22 8.2889 Tf 211.501 325.159 Td [(4)]TJ ET 1 0 0 1 216.3 325.159 cm 0 g 0 G 1 0 0 1 -216.3 -325.159 cm BT /F22 8.2889 Tf 218.372 325.159 Td [(concludes)-250(the)-250(paper)-250(with)-250(a)-250(brief)-250(discussion.)]TJ ET 1 0 0 1 40.867 325.159 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -325.159 cm BT /F123 8.2889 Tf 40.867 302.945 Td [(2.)-500(Preliminaries)]TJ ET 1 0 0 1 40.867 302.945 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -302.945 cm BT /F22 8.2889 Tf 52.822 282.391 Td [(A)-405(traveling)-405(wave)-405(solution)-405(of)]TJ ET 1 0 0 1 168.082 282.391 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -168.082 -282.391 cm BT /F22 8.2889 Tf 168.082 282.391 Td [(\0501.5\051)]TJ ET 1 0 0 1 185.754 282.391 cm 0 g 0 G 1 0 0 1 -185.754 -282.391 cm BT /F22 8.2889 Tf 189.112 282.391 Td [(is)-405(a)-405(solution)-405(of)-405(the)-406(form)]TJ/F76 8.2889 Tf 100.259 0 Td [(u)]TJ/F154 9.5641 Tf 4.791 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(;)]TJ/F76 8.2889 Tf 4.759 0 Td [(x)]TJ/F154 9.5641 Tf 4.07 0 Td [(/)]TJ/F150 9.5641 Tf 9.521 0 Td [(D)]TJ/F154 9.5641 Tf 13.414 0 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(x)]TJ/F150 9.5641 Tf 7.514 0 Td [(C)]TJ/F76 8.2889 Tf 10.904 0 Td [(ct)]TJ/F154 9.5641 Tf 7.373 0 Td [(/)]TJ/F22 8.2889 Tf 6.925 0 Td [(and)]TJ/F154 9.5641 Tf 17.607 0 Td [(v)-40(.)]TJ/F76 8.2889 Tf 8.607 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(x)]TJ/F154 9.5641 Tf 4.07 0 Td [(/)]TJ/F150 9.5641 Tf 9.521 0 Td [(D)]TJ/F154 9.5641 Tf 13.413 0 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(x)]TJ/F150 9.5641 Tf 7.513 0 Td [(C)]TJ/F76 8.2889 Tf 10.904 0 Td [(ct)]TJ/F154 9.5641 Tf 7.373 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(,)-405(where)]TJ ET 1 0 0 1 40.867 282.391 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -282.391 cm BT /F154 9.5641 Tf 40.867 271.93 Td [(\036)-50(;)-167(\040)]TJ/F150 9.5641 Tf 24.78 0 Td [(2)]TJ/F76 8.2889 Tf 12.447 0 Td [(C)]TJ/F22 5.8022 Tf 5.632 3.472 Td [(2)]TJ/F154 9.5641 Tf 3.857 -3.472 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(R)]TJ/F154 9.5641 Tf 4.866 0 Td [(/)]TJ/F22 8.2889 Tf 7.111 0 Td [(and)]TJ/F76 8.2889 Tf 17.793 0 Td [(c)]TJ/F154 9.5641 Tf 10.744 0 Td [(>)]TJ/F22 8.2889 Tf 13.891 0 Td [(0)-428(is)-427(a)-428(constant)-427(corresponding)-428(to)-427(the)-428(wave)-427(speed.)-429(Substituting)]TJ/F76 8.2889 Tf 250.121 0 Td [(u)]TJ/F154 9.5641 Tf 4.791 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(;)]TJ/F76 8.2889 Tf 4.759 0 Td [(x)]TJ/F154 9.5641 Tf 4.07 0 Td [(/)]TJ/F150 9.5641 Tf 9.998 0 Td [(D)]TJ/F154 9.5641 Tf 13.891 0 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(x)]TJ/F150 9.5641 Tf 7.704 0 Td [(C)]TJ/F76 8.2889 Tf 11.095 0 Td [(ct)]TJ/F154 9.5641 Tf 7.373 0 Td [(/)]TJ/F22 8.2889 Tf 7.112 0 Td [(and)]TJ ET 1 0 0 1 40.867 271.93 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -271.93 cm BT /F154 9.5641 Tf 40.867 261.47 Td [(v)-40(.)]TJ/F76 8.2889 Tf 8.607 0 Td [(t)]TJ/F154 9.5641 Tf 3.643 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(x)]TJ/F154 9.5641 Tf 4.07 0 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F154 9.5641 Tf 10.116 0 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.162 0 Td [(x)]TJ/F150 9.5641 Tf 6.011 0 Td [(C)]TJ/F76 8.2889 Tf 9.4 0 Td [(ct)]TJ/F154 9.5641 Tf 7.373 0 Td [(/)]TJ/F22 8.2889 Tf 5.58 0 Td [(into)]TJ ET 1 0 0 1 135.127 261.47 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -135.127 -261.47 cm BT /F22 8.2889 Tf 135.127 261.47 Td [(\0501.5\051)]TJ ET 1 0 0 1 152.798 261.47 cm 0 g 0 G 1 0 0 1 -152.798 -261.47 cm BT /F22 8.2889 Tf 154.811 261.47 Td [(and)-243(letting)]TJ/F76 8.2889 Tf 43.297 0 Td [(s)]TJ/F150 9.5641 Tf 6.038 0 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(x)]TJ/F150 9.5641 Tf 6.011 0 Td [(C)]TJ/F76 8.2889 Tf 9.401 0 Td [(ct)]TJ/F22 8.2889 Tf 7.373 0 Td [(,)-243(one)-242(finds)-243(that)-243(the)-243(profile)-243(functions)]TJ/F154 9.5641 Tf 137.855 0 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 5.579 0 Td [(and)]TJ/F154 9.5641 Tf 16.261 0 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 5.58 0 Td [(satisfy)-243(the)-243(follo)1(wing)]TJ ET 1 0 0 1 40.867 261.47 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -261.47 cm BT /F22 8.2889 Tf 40.867 251.009 Td [(system)-250(of)-250(ordinary)-250(differential)-250(equations)]TJ ET 1 0 0 1 40.867 251.009 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -251.009 cm BT /F152 9.5641 Tf 66.371 241.134 Td [(\032)]TJ/F76 8.2889 Tf 5.911 -7.899 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\036)]TJ/F150 6.6948 Tf 5.996 3.95 Td [(00)]TJ/F154 9.5641 Tf 4.114 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.314 0 Td [(\036)]TJ/F150 6.6948 Tf 5.997 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(f)]TJ/F154 9.5641 Tf 4.166 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(//)]TJ/F150 9.5641 Tf 9.792 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F154 9.5641 Tf 4.8 0 Td [(;)]TJ/F76 8.2889 Tf -178.315 -10.663 Td [(d)]TJ/F22 5.8022 Tf 4.608 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(\040)]TJ/F150 6.6948 Tf 7.594 3.95 Td [(00)]TJ/F154 9.5641 Tf 4.113 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(\000)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F154 9.5641 Tf 4.315 0 Td [(\040)]TJ/F150 6.6948 Tf 7.594 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.305 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.692 0 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F76 8.2889 Tf 3.567 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.\036)-50(.)]TJ/F76 8.2889 Tf 13.132 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 5.693 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(//)]TJ/F150 9.5641 Tf 9.792 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(:)]TJ/F22 8.2889 Tf 233.221 5.134 Td [(\0502.1\051)]TJ ET 1 0 0 1 40.867 227.706 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -227.706 cm BT /F22 8.2889 Tf 40.867 206.355 Td [(If)-299(lim)]TJ/F76 5.8022 Tf 20.455 -1.434 Td [(s)]TJ/F150 6.6948 Tf 2.368 0 Td [(!\0061)]TJ/F154 9.5641 Tf 21.507 1.434 Td [(\036)-50(.)]TJ/F76 8.2889 Tf 9.564 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 7.263 0 Td [(D)]TJ/F76 8.2889 Tf 11.155 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 -1.434 Td [(\006)]TJ/F22 8.2889 Tf 8.198 1.434 Td [(and)-299(lim)]TJ/F76 5.8022 Tf 29.375 -1.434 Td [(s)]TJ/F150 6.6948 Tf 2.367 0 Td [(!\0061)]TJ/F154 9.5641 Tf 21.507 1.434 Td [(\040)-90(.)]TJ/F76 8.2889 Tf 11.161 0 Td [(s)]TJ/F154 9.5641 Tf 3.382 0 Td [(/)]TJ/F150 9.5641 Tf 7.263 0 Td [(D)]TJ/F154 9.5641 Tf 11.156 0 Td [(v)]TJ/F150 6.6948 Tf 4.657 -1.434 Td [(\006)]TJ/F22 8.2889 Tf 8.198 1.434 Td [(exist,)-299(the)-299(traveling)-299(wave)-299(solution)-298(is)-299(referred)-299(to)-299(as)-299(a)-299(traveling)-299(wave)-299(fro)1(nt)]TJ ET 1 0 0 1 40.867 206.355 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -206.355 cm BT /F22 8.2889 Tf 40.867 195.894 Td [(which)-255(explains)-255(the)-256(trans)1(ition)-256(from)-255(the)-255(state)]TJ/F154 9.5641 Tf 169.642 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 -1.434 Td [(\000)]TJ/F154 9.5641 Tf 5.72 1.434 Td [(;)-167(v)]TJ/F150 6.6948 Tf 9.417 -1.434 Td [(\000)]TJ/F154 9.5641 Tf 5.72 1.434 Td [(/)]TJ/F22 8.2889 Tf 5.683 0 Td [(to)-255(the)-255(other)-256(state)]TJ/F154 9.5641 Tf 67.834 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 -1.434 Td [(C)]TJ/F154 9.5641 Tf 5.72 1.434 Td [(;)-167(v)]TJ/F150 6.6948 Tf 9.417 -1.434 Td [(C)]TJ/F154 9.5641 Tf 5.72 1.434 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(.)-255(It)-255(is)-256(known)-255(that)-255(these)-255(two)-255(states)-256(must)-255(be)]TJ ET 1 0 0 1 40.867 195.894 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -195.894 cm BT /F22 8.2889 Tf 40.867 185.434 Td [(equilibria)-250(of)]TJ ET 1 0 0 1 89.099 185.434 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -89.099 -185.434 cm BT /F22 8.2889 Tf 89.099 185.434 Td [(\0501.5\051)]TJ ET 1 0 0 1 106.771 185.434 cm 0 g 0 G 1 0 0 1 -106.771 -185.434 cm BT /F22 8.2889 Tf 108.843 185.434 Td [(\050as)-250(well)-250(as)]TJ ET 1 0 0 1 150.544 185.434 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -150.544 -185.434 cm BT /F22 8.2889 Tf 150.544 185.434 Td [(\0501.2\051)]TJ ET 1 0 0 1 168.216 185.434 cm 0 g 0 G 1 0 0 1 -168.216 -185.434 cm BT /F22 8.2889 Tf 168.216 185.434 Td [(,)-250(meaning)-250(that)]TJ ET 1 0 0 1 40.867 185.434 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -185.434 cm BT /F76 8.2889 Tf 64.777 170.275 Td [(u)]TJ/F150 6.6948 Tf 4.791 -1.435 Td [(C)]TJ/F76 8.2889 Tf 5.72 1.435 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(u)]TJ/F150 6.6948 Tf 4.791 -1.435 Td [(C)]TJ/F150 9.5641 Tf 7.846 1.435 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(v)]TJ/F150 6.6948 Tf 4.658 -1.435 Td [(C)]TJ/F154 9.5641 Tf 5.72 1.435 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)-1900(v)]TJ/F150 6.6948 Tf 25.995 -1.435 Td [(C)]TJ/F76 8.2889 Tf 5.72 1.435 Td [(g)]TJ/F154 9.5641 Tf 5.003 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 -1.435 Td [(C)]TJ/F150 9.5641 Tf 7.845 1.435 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(v)]TJ/F150 6.6948 Tf 4.657 -1.435 Td [(C)]TJ/F154 9.5641 Tf 5.721 1.435 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ ET 1 0 0 1 40.867 170.275 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -170.275 cm BT /F76 8.2889 Tf 64.777 156.825 Td [(u)]TJ/F150 6.6948 Tf 4.791 -1.434 Td [(\000)]TJ/F76 8.2889 Tf 5.72 1.434 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.434 Td [(u)]TJ/F150 6.6948 Tf 4.791 -1.434 Td [(\000)]TJ/F150 9.5641 Tf 7.846 1.434 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(v)]TJ/F150 6.6948 Tf 4.658 -1.434 Td [(\000)]TJ/F154 9.5641 Tf 5.72 1.434 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)-1900(v)]TJ/F150 6.6948 Tf 25.995 -1.434 Td [(\000)]TJ/F76 8.2889 Tf 5.72 1.434 Td [(g)]TJ/F154 9.5641 Tf 5.003 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(u)]TJ/F150 6.6948 Tf 4.791 -1.434 Td [(\000)]TJ/F150 9.5641 Tf 7.845 1.434 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(v)]TJ/F150 6.6948 Tf 4.657 -1.434 Td [(\000)]TJ/F154 9.5641 Tf 5.721 1.434 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(:)]TJ ET 1 0 0 1 40.867 156.825 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -156.825 cm BT /F22 8.2889 Tf 52.822 141.74 Td [(As)-169(mentioned)-170(in)-169(the)-170(introduction,)-169(we)-170(are)-169(interested)-170(in)-169(traveling)-169(wave)-170(fronts)-169(accounting)-170(for)-169(co-invasion)-170(of)-169(the)-169(two)-170(species,)]TJ ET 1 0 0 1 40.867 141.74 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -141.74 cm BT /F22 8.2889 Tf 40.867 131.279 Td [(and)-245(hence)-244(it)-245(is)-245(natural)-244(to)-245(pose)-244(conditions)-245(that)-245(guarantee)-244(existence)-245(of)-245(a)-244(co-existence)-245(equilibrium.)-245(B)1(y)-245(the)-245(properties)-244(of)]TJ/F76 8.2889 Tf 445.81 0 Td [(f)]TJ/F22 8.2889 Tf 6.193 0 Td [(and)]TJ ET 1 0 0 1 40.867 131.279 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -131.279 cm BT /F76 8.2889 Tf 40.867 120.818 Td [(g)]TJ/F22 8.2889 Tf 5.002 0 Td [(,)-250(a)-250(co-existence)-250(equilibrium)-250(is)-250(obtained)-250(by)-250(solving)-250(either)]TJ ET 1 0 0 1 40.867 120.818 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -120.818 cm BT /F152 9.5641 Tf 66.371 110.94 Td [(\032)]TJ/F76 8.2889 Tf 5.911 -7.899 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.434 Td [(u)]TJ/F150 9.5641 Tf 6.916 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(v)]TJ/F150 9.5641 Tf 7.697 0 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F76 8.2889 Tf -48.975 -9.027 Td [(u)]TJ/F150 9.5641 Tf 6.916 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.434 Td [(v)]TJ/F150 9.5641 Tf 7.697 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(w)]TJ/F22 5.8022 Tf 7.029 -1.434 Td [(1)]TJ/F22 8.2889 Tf 364.873 6.366 Td [(\0502.2\051)]TJ ET 1 0 0 1 40.867 97.512 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -97.512 cm BT /F22 8.2889 Tf 40.867 78.175 Td [(or)]TJ ET 1 0 0 1 40.867 78.175 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -78.175 cm BT /F152 9.5641 Tf 66.371 69.974 Td [(\032)]TJ/F76 8.2889 Tf 5.911 -7.899 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(u)]TJ/F150 9.5641 Tf 6.916 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(v)]TJ/F150 9.5641 Tf 7.697 0 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.435 Td [(0)]TJ/F76 8.2889 Tf -48.975 -9.026 Td [(u)]TJ/F150 9.5641 Tf 6.916 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(v)]TJ/F150 9.5641 Tf 7.697 0 Td [(D)]TJ/F154 9.5641 Tf 10.117 0 Td [(w)]TJ/F22 5.8022 Tf 7.029 -1.435 Td [(2)]TJ/F22 8.2889 Tf 364.873 6.366 Td [(\0502.3\051)]TJ ET 1 0 0 1 40.867 56.546 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -16.06 cm 0 g 0 G 1 0 0 1 466.251 0 cm 0 g 0 G endstream endobj 145 0 obj << /Type /XObject /Subtype /Form /FormType 1 /PTEX.FileName (./main.pdf) /PTEX.PageNumber 2 /PTEX.InfoDict 100 0 R /Matrix [ 1 0 0 1 0 0 ] /BBox [ 0 0 544.252 742.677 ] /Resources << /ProcSet [ /PDF /Text ] /XObject << /Im1 61 0 R >> /Font << /F150 97 0 R /F76 96 0 R /F152 60 0 R /F154 59 0 R /F123 93 0 R /F22 92 0 R >> >> /Length 19230 >> stream 1 0 0 1 37.134 702.503 cm 0 g 0 G 1 0 0 1 -37.134 -702.503 cm BT /F76 6.6311 Tf 152.872 702.503 Td [(Z.)-250(Yuan,)-250(X.)-250(Zou)-250(/)-250(Nonlinear)-250(Analysis:)-333(Real)-250(World)-250(Applications)-250(11)-250(\0502010\051)-250(232\025245)]TJ/F22 6.6311 Tf 338.995 0 Td [(233)]TJ ET 1 0 0 1 503.385 702.503 cm 0 g 0 G 1 0 0 1 -466.251 -11.955 cm 0 g 0 G 1 0 0 1 70.406 -110.436 cm q 1 0 0 1 0 0 cm q 1 0 0 1 0 0 cm /Im1 Do Q Q 1 0 0 1 -107.54 -580.112 cm BT /F123 6.6311 Tf 161.858 563.176 Td [(Fig.)-250(1.)]TJ/F22 6.6311 Tf 23.455 0 Td [(Typical)-250(fitness)-250(functions)-250(for)-250(climax)-250(species)-250(and)-250(pioneer)-250(species.)]TJ ET 1 0 0 1 37.134 561.776 cm 0 g 0 G 1 0 0 1 -37.134 -561.776 cm BT /F22 8.2889 Tf 37.134 538.953 Td [(populations)-318(have)-319(pioneer)-318(fitness)-319(of)-318(exponential)-319(decay)-318(type.)-319(Hassell)-318(and)-319(Comins)-318([)]TJ ET 1 0 0 1 350.944 538.953 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -350.944 -538.953 cm BT /F22 8.2889 Tf 350.944 538.953 Td [(10)]TJ ET 1 0 0 1 360.542 538.953 cm 0 g 0 G 1 0 0 1 -360.542 -538.953 cm BT /F22 8.2889 Tf 360.542 538.953 Td [(])-318(analyzed)-319(some)-318(discrete)-319(time)-318(Lotka-)]TJ ET 1 0 0 1 37.134 538.953 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -538.953 cm BT /F22 8.2889 Tf 37.134 528.492 Td [(Volterra)-222(models)-222(containing)-222(rational)-221(pioneer)-222(fitness)-222(functions.)-222(Climax)-222(species)-222(express)-222(a)-222(different)-222(response)-221(to)-222(environmental)]TJ ET 1 0 0 1 37.134 528.492 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -528.492 cm BT /F22 8.2889 Tf 37.134 518.031 Td [(crowding.)-394(The)-393(fitness)-394(of)-393(a)-393(climax)-394(species)-393(increases)-393(at)-394(lower)-393(total)-393(densities)-393(to)-394(a)-393(maximum)-393(before)-394(decreasing)-393(at)-393(higher)]TJ ET 1 0 0 1 37.134 518.031 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -518.031 cm BT /F22 8.2889 Tf 37.134 507.57 Td [(densities.)-243(Such)-244(a)-243(``one-humped'')-244(fitness)-243(functions)-244(ref)1(lects)-244(the)-243(beneficial)-244(effects)-243(of)-244(increasing)-243(density)-243(between)-244(certain)-243(lower)]TJ ET 1 0 0 1 37.134 507.57 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -507.57 cm BT /F22 8.2889 Tf 37.134 497.109 Td [(range)-342(and)-342(the)-342(disadvantageous)-342(effects)-343(of)-342(extreme)-342(overcrowding)-342(on)-342(reproduction)-342(and)-342(survival.)-343(For)-342(more)-342(details)-342(on)-342(such)]TJ ET 1 0 0 1 37.134 497.109 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -497.109 cm BT /F22 8.2889 Tf 37.134 486.649 Td [(responses,)-250(interested)-250(readers)-250(are)-250(referred)-250(to)-250(Cushing)-250([)]TJ ET 1 0 0 1 243.203 486.649 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -243.203 -486.649 cm BT /F22 8.2889 Tf 243.203 486.649 Td [(6)]TJ ET 1 0 0 1 248.002 486.649 cm 0 g 0 G 1 0 0 1 -248.002 -486.649 cm BT /F22 8.2889 Tf 248.002 486.649 Td [(],)-250(Freedman)-250(and)-250(Wolkowicz)-250([)]TJ ET 1 0 0 1 359.57 486.649 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -359.57 -486.649 cm BT /F22 8.2889 Tf 359.57 486.649 Td [(9)]TJ ET 1 0 0 1 364.369 486.649 cm 0 g 0 G 1 0 0 1 -364.369 -486.649 cm BT /F22 8.2889 Tf 364.369 486.649 Td [(],)-250(and)-250(Wolkowicz)-250([)]TJ ET 1 0 0 1 435.595 486.649 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -435.595 -486.649 cm BT /F22 8.2889 Tf 435.595 486.649 Td [(26)]TJ ET 1 0 0 1 445.193 486.649 cm 0 g 0 G 1 0 0 1 -445.193 -486.649 cm BT /F22 8.2889 Tf 445.193 486.649 Td [(].)]TJ ET 1 0 0 1 37.134 486.649 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -486.649 cm BT /F22 8.2889 Tf 49.089 475.588 Td [(Ignoring)-299(spatial)-299(variances)-299(and)-299(considering)-300(continuous)-299(time,)-299(a)-299(typical)-299(model)-299(for)-299(the)-299(interaction)-300(of)-299(a)-299(pioneering)-299(species)]TJ ET 1 0 0 1 37.134 475.588 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -475.588 cm BT /F22 8.2889 Tf 37.134 465.127 Td [(and)-250(a)-250(climax)-250(species)-250(is)-250(given)-250(by)-250(the)-250(following)-250(system)-250(of)-250(ordinary)-250(differential)-250(equations:)]TJ ET 1 0 0 1 37.134 465.127 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -465.127 cm BT /F152 9.5641 Tf 62.638 451.671 Td [(8)]TJ 0 -8.608 Td [(>)]TJ 0 -2.869 Td [(<)]TJ 0 -17.216 Td [(>)]TJ 0 -2.869 Td [(:)]TJ/F22 8.2889 Tf 8.77 26.541 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(u)]TJ ET q 1 0 0 1 71.408 442.337 cm []0 d 0 J 0.44 w 0 0 m 9.723 0 l S Q BT /F22 8.2889 Tf 71.982 433.155 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(t)]TJ/F150 9.5641 Tf 8.069 6.791 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(uf)]TJ/F154 9.5641 Tf 8.956 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(u)]TJ/F150 9.5641 Tf 6.916 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(12)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(v)-40(/;)]TJ/F22 8.2889 Tf -74.611 -16.215 Td [(d)]TJ/F154 9.5641 Tf 4.932 0 Td [(v)]TJ ET q 1 0 0 1 71.408 419.417 cm []0 d 0 J 0.44 w 0 0 m 9.972 0 l S Q BT /F22 8.2889 Tf 72.107 410.236 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(t)]TJ/F150 9.5641 Tf 8.194 6.79 Td [(D)]TJ/F154 9.5641 Tf 10.116 0 Td [(v)]TJ/F76 8.2889 Tf 5.041 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(21)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(u)]TJ/F150 9.5641 Tf 6.917 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(v)-40(/;)]TJ/F22 8.2889 Tf 338.359 12.169 Td [(\0501.1\051)]TJ ET 1 0 0 1 37.134 429.195 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -429.195 cm BT /F22 8.2889 Tf 37.134 395.425 Td [(where)-272(the)-272(variables)]TJ/F76 8.2889 Tf 77.803 0 Td [(u)]TJ/F22 8.2889 Tf 7.047 0 Td [(and)]TJ/F154 9.5641 Tf 16.505 0 Td [(v)]TJ/F22 8.2889 Tf 7.296 0 Td [(represent)-272(densities)-272(of)-272(the)-273(pioneer)-272(and)-272(the)-272(climax)-272(species)-272(respectively,)]TJ/F76 8.2889 Tf 270.454 0 Td [(f)]TJ/F22 8.2889 Tf 6.421 0 Td [(and)]TJ/F76 8.2889 Tf 16.505 0 Td [(g)]TJ/F22 8.2889 Tf 7.258 0 Td [(are)-272(continuous)]TJ ET 1 0 0 1 37.134 395.425 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -395.425 cm BT /F22 8.2889 Tf 37.134 384.964 Td [(functions)-250(and)-250(denote)-250(pioneer)-250(fitness)-250(function)-250(and)-250(climax)-250(fitness)-250(function)-250(respectively.)-250(The)-250(matrix)]TJ ET 1 0 0 1 37.134 384.964 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -384.964 cm BT /F152 9.5641 Tf 61.044 374.4 Td [(\022)]TJ/F76 8.2889 Tf 6.456 -7.898 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 17.18 1.435 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(12)]TJ/F76 8.2889 Tf -24.64 -9.026 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(21)]TJ/F76 8.2889 Tf 17.18 1.435 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F152 9.5641 Tf 7.217 19.794 Td [(\023)]TJ ET 1 0 0 1 37.134 360.972 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -360.972 cm BT /F22 8.2889 Tf 37.134 336.941 Td [(with)]TJ/F76 8.2889 Tf 20.704 0 Td [(c)]TJ/F76 5.8022 Tf 3.73 -1.435 Td [(ij)]TJ/F154 9.5641 Tf 8.825 1.435 Td [(>)]TJ/F22 8.2889 Tf 12.451 0 Td [(0)]TJ/F154 9.5641 Tf 6.393 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(i)]TJ/F154 9.5641 Tf 2.371 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(j)]TJ/F150 9.5641 Tf 7.386 0 Td [(D)]TJ/F22 8.2889 Tf 12.451 0 Td [(1)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(2)]TJ/F154 9.5641 Tf 4.799 0 Td [(/)]TJ/F22 8.2889 Tf 6.55 0 Td [(gives)-360(the)-360(weight)-359(distribution)-360(among)-360(species,)-360(and)-360(is)-360(called)-359(the)-360(interaction)-360(matrix.)-360(A)-360(rescaling)]TJ ET 1 0 0 1 37.134 336.941 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -336.941 cm BT /F76 8.2889 Tf 37.134 326.48 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(21)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(u)]TJ/F150 9.5641 Tf 7.448 0 Td [(!)]TJ/F76 8.2889 Tf 13.167 0 Td [(u)]TJ/F154 9.5641 Tf 4.791 0 Td [(;)]TJ/F76 8.2889 Tf 4.76 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(12)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(v)]TJ/F150 9.5641 Tf 7.697 0 Td [(!)]TJ/F154 9.5641 Tf 13.167 0 Td [(v)]TJ/F22 8.2889 Tf 7.113 0 Td [(transforms)]TJ ET 1 0 0 1 160.986 326.48 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -160.986 -326.48 cm BT /F22 8.2889 Tf 160.986 326.48 Td [(\0501.1\051)]TJ ET 1 0 0 1 178.657 326.48 cm 0 g 0 G 1 0 0 1 -178.657 -326.48 cm BT /F22 8.2889 Tf 180.73 326.48 Td [(to)]TJ ET 1 0 0 1 37.134 326.48 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -326.48 cm BT /F152 9.5641 Tf 62.638 313.023 Td [(8)]TJ 0 -8.607 Td [(>)]TJ 0 -2.869 Td [(<)]TJ 0 -17.216 Td [(>)]TJ 0 -2.869 Td [(:)]TJ/F22 8.2889 Tf 8.77 26.541 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(u)]TJ ET q 1 0 0 1 71.408 303.689 cm []0 d 0 J 0.44 w 0 0 m 9.723 0 l S Q BT /F22 8.2889 Tf 71.982 294.508 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(t)]TJ/F150 9.5641 Tf 8.069 6.79 Td [(D)]TJ/F76 8.2889 Tf 10.117 0 Td [(uf)]TJ/F154 9.5641 Tf 8.956 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.434 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.434 Td [(u)]TJ/F150 9.5641 Tf 6.916 0 Td [(C)]TJ/F154 9.5641 Tf 9.585 0 Td [(v)-40(/;)]TJ/F22 8.2889 Tf -63.664 -16.215 Td [(d)]TJ/F154 9.5641 Tf 4.932 0 Td [(v)]TJ ET q 1 0 0 1 71.408 280.77 cm []0 d 0 J 0.44 w 0 0 m 9.972 0 l S Q BT /F22 8.2889 Tf 72.107 271.588 Td [(d)]TJ/F76 8.2889 Tf 4.932 0 Td [(t)]TJ/F150 9.5641 Tf 8.194 6.791 Td [(D)]TJ/F154 9.5641 Tf 10.116 0 Td [(v)]TJ/F76 8.2889 Tf 5.041 0 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(u)]TJ/F150 9.5641 Tf 6.917 0 Td [(C)]TJ/F76 8.2889 Tf 9.585 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F154 9.5641 Tf 7.217 1.435 Td [(v)-40(/:)]TJ/F22 8.2889 Tf 349.306 12.169 Td [(\0501.2\051)]TJ ET 1 0 0 1 37.134 290.548 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -290.548 cm BT /F22 8.2889 Tf 37.134 255.214 Td [(The)-250(pioneer)-250(fitness)-250(function)]TJ/F76 8.2889 Tf 108.733 0 Td [(f)]TJ/F150 9.5641 Tf 6.822 0 Td [(2)]TJ/F76 8.2889 Tf 8.672 0 Td [(C)]TJ/F22 5.8022 Tf 5.632 3.472 Td [(1)]TJ/F154 9.5641 Tf 3.858 -3.472 Td [(.)]TJ/F150 9.5641 Tf 3.567 0 Td [(\0001)]TJ/F154 9.5641 Tf 17.225 0 Td [(;)]TJ/F150 9.5641 Tf 4.76 0 Td [(1)]TJ/F154 9.5641 Tf 9.765 0 Td [(/)]TJ/F22 8.2889 Tf 5.64 0 Td [(and)-250(satisfies:)]TJ ET 1 0 0 1 37.134 255.214 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -255.214 cm BT /F76 8.2889 Tf 61.044 235.569 Td [(f)]TJ/F150 6.6948 Tf 4.165 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F76 8.2889 Tf 3.567 0 Td [(y)]TJ/F154 9.5641 Tf 4.344 0 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.341 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F76 8.2889 Tf 21.337 0 Td [(f)]TJ/F154 9.5641 Tf 4.165 0 Td [(.)]TJ/F76 8.2889 Tf 3.568 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)-1000(for)]TJ/F76 8.2889 Tf 26.019 0 Td [(y)]TJ/F150 9.5641 Tf 7 0 Td [(2)]TJ/F76 8.2889 Tf 8.673 0 Td [(R)]TJ/F154 9.5641 Tf 4.865 0 Td [(;)]TJ/F22 8.2889 Tf 6.832 0 Td [(some)]TJ/F76 8.2889 Tf 22.513 0 Td [(z)]TJ/F22 5.8022 Tf 3.713 -1.434 Td [(0)]TJ/F154 9.5641 Tf 6.514 1.434 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(:)]TJ/F22 8.2889 Tf 235.122 0 Td [(\0501.3\051)]TJ ET 1 0 0 1 37.134 235.569 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -235.569 cm BT /F22 8.2889 Tf 37.134 217.73 Td [(The)-256(climax)-257(fitness)]TJ/F76 8.2889 Tf 71.01 0 Td [(g)]TJ/F150 9.5641 Tf 7.793 0 Td [(2)]TJ/F76 8.2889 Tf 8.806 0 Td [(C)]TJ/F22 5.8022 Tf 5.632 3.471 Td [(1)]TJ/F154 9.5641 Tf 3.858 -3.471 Td [(.)]TJ/F150 9.5641 Tf 3.567 0 Td [(\0001)]TJ/F154 9.5641 Tf 17.225 0 Td [(;)]TJ/F150 9.5641 Tf 4.76 0 Td [(1)]TJ/F154 9.5641 Tf 9.765 0 Td [(/)]TJ/F22 8.2889 Tf 5.692 0 Td [(is)-256(a)-257(lumped)-256(function)-256(which)-256(attains)-257(its)-256(maximum)-256(at)-257(the)-256(intermediate)-256(density)]TJ/F154 9.5641 Tf 293.248 0 Td [(w)]TJ/F150 6.6948 Tf 7.317 3.471 Td [(\003)]TJ/F22 8.2889 Tf 6.11 -3.471 Td [(while)]TJ ET 1 0 0 1 37.134 217.73 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -217.73 cm BT /F22 8.2889 Tf 37.134 207.269 Td [(negative)-250(below)-250(a)-250(low)-250(density)]TJ/F154 9.5641 Tf 113.143 0 Td [(w)]TJ/F22 5.8022 Tf 7.029 -1.435 Td [(1)]TJ/F22 8.2889 Tf 5.93 1.435 Td [(and)-250(above)-250(a)-250(high)-250(density)]TJ/F154 9.5641 Tf 96.706 0 Td [(w)]TJ/F22 5.8022 Tf 7.03 -1.435 Td [(2)]TJ/F22 8.2889 Tf 3.857 1.435 Td [(,)-250(that)-250(is,)]TJ ET 1 0 0 1 37.134 207.269 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -207.269 cm BT /F152 9.5641 Tf 62.638 194.713 Td [(\032)]TJ/F76 8.2889 Tf 5.911 -7.798 Td [(g)]TJ/F154 9.5641 Tf 5.002 0 Td [(.w)]TJ/F22 5.8022 Tf 10.597 -1.434 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F76 8.2889 Tf 10.116 0 Td [(g)]TJ/F154 9.5641 Tf 5.003 0 Td [(.w)]TJ/F22 5.8022 Tf 10.597 -1.434 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F150 9.5641 Tf 6.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 13.049 0 Td [(for)-250(0)]TJ/F154 9.5641 Tf 20.386 0 Td [(<)-278(w)]TJ/F22 5.8022 Tf 17.147 -1.434 Td [(1)]TJ/F154 9.5641 Tf 6.514 1.434 Td [(<)-278(w)]TJ/F22 5.8022 Tf 17.146 -1.434 Td [(2)]TJ/F154 9.5641 Tf -150.636 -9.229 Td [(.w)]TJ/F150 6.6948 Tf 10.884 3.95 Td [(\003)]TJ/F150 9.5641 Tf 6.111 -3.95 Td [(\000)]TJ/F154 9.5641 Tf 9.586 0 Td [(w)-30(/)]TJ/F76 8.2889 Tf 10.883 0 Td [(g)]TJ/F150 6.6948 Tf 5.003 3.95 Td [(0)]TJ/F154 9.5641 Tf 2.306 -3.95 Td [(.w)-30(/)-278(>)]TJ/F22 8.2889 Tf 27.224 0 Td [(0)]TJ/F154 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 13.049 0 Td [(for)]TJ/F154 9.5641 Tf 12.931 0 Td [(w)-308(>)]TJ/F22 8.2889 Tf 20.089 0 Td [(0)-250(and)]TJ/F154 9.5641 Tf 23.193 0 Td [(w)]TJ/F150 9.5641 Tf 9.973 0 Td [(6)1(D)]TJ/F154 9.5641 Tf 10.116 0 Td [(w)]TJ/F150 6.6948 Tf 7.317 3.95 Td [(\003)]TJ/F150 9.5641 Tf 6.643 -3.95 Td [(2)]TJ/F154 9.5641 Tf 8.672 0 Td [(.w)]TJ/F22 5.8022 Tf 10.597 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(;)-167(w)]TJ/F22 5.8022 Tf 11.789 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.858 1.435 Td [(/:)]TJ/F22 8.2889 Tf 198.284 5.033 Td [(\0501.4\051)]TJ ET 1 0 0 1 37.134 181.285 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -23.822 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -37.134 -157.463 cm BT /F22 8.2889 Tf 37.134 157.463 Td [(Fig.)-250(1)]TJ ET 1 0 0 1 57.151 157.463 cm 0 g 0 G 1 0 0 1 -57.151 -157.463 cm BT /F22 8.2889 Tf 59.224 157.463 Td [(depicts)-250(typical)-250(fitness)-250(functions)-250(for)-250(climax)-250(species)-250(and)-250(pioneer)-250(species.)]TJ ET 1 0 0 1 37.134 157.463 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -157.463 cm BT /F22 8.2889 Tf 49.089 146.402 Td [(It)-250(turns)-250(out)-250(that)-250(depending)-250(on)-250(the)-250(locations)-250(of)-250(the)-250(three)-250(nullclines:)]TJ ET 1 0 0 1 37.134 146.402 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -146.402 cm BT /F76 8.2889 Tf 61.044 128.562 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(11)]TJ/F76 8.2889 Tf 7.217 1.435 Td [(u)]TJ/F150 9.5641 Tf 6.916 0 Td [(C)]TJ/F154 9.5641 Tf 9.586 0 Td [(v)]TJ/F150 9.5641 Tf 7.697 0 Td [(D)]TJ/F76 8.2889 Tf 10.116 0 Td [(z)]TJ/F22 5.8022 Tf 3.714 -1.435 Td [(0)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)]TJ ET 1 0 0 1 37.134 128.562 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -128.562 cm BT /F76 8.2889 Tf 61.044 115.113 Td [(u)]TJ/F150 9.5641 Tf 6.916 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F150 9.5641 Tf 9.874 1.435 Td [(D)]TJ/F154 9.5641 Tf 10.116 0 Td [(w)]TJ/F22 5.8022 Tf 7.03 -1.435 Td [(1)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)]TJ ET 1 0 0 1 37.134 115.113 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -115.113 cm BT /F76 8.2889 Tf 61.044 101.663 Td [(u)]TJ/F150 9.5641 Tf 6.916 0 Td [(C)]TJ/F76 8.2889 Tf 9.586 0 Td [(c)]TJ/F22 5.8022 Tf 3.73 -1.435 Td [(22)]TJ/F150 9.5641 Tf 9.874 1.435 Td [(D)]TJ/F154 9.5641 Tf 10.116 0 Td [(w)]TJ/F22 5.8022 Tf 7.03 -1.435 Td [(2)]TJ/F154 9.5641 Tf 3.857 1.435 Td [(;)]TJ ET 1 0 0 1 37.134 101.663 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -101.663 cm BT /F22 8.2889 Tf 37.134 83.823 Td [(the)-335(long)-335(term)-335(behavior)-335(of)-335(solutions)-335(to)]TJ ET 1 0 0 1 187.929 83.823 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -187.929 -83.823 cm BT /F22 8.2889 Tf 187.929 83.823 Td [(\0501.2\051)]TJ ET 1 0 0 1 205.601 83.823 cm 0 g 0 G 1 0 0 1 -205.601 -83.823 cm BT /F22 8.2889 Tf 208.377 83.823 Td [(can)-335(be)-335(qualitatively)-335(different.)-335(Selgrade)-335(and)-335(Namkoong)-335([)]TJ ET 1 0 0 1 424.841 83.823 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -424.841 -83.823 cm BT /F22 8.2889 Tf 424.841 83.823 Td [(18)]TJ ET 1 0 0 1 434.439 83.823 cm 0 g 0 G 1 0 0 1 -434.439 -83.823 cm BT /F22 8.2889 Tf 434.439 83.823 Td [(,)]TJ ET 1 0 0 1 436.379 83.823 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -436.379 -83.823 cm BT /F22 8.2889 Tf 436.379 83.823 Td [(19)]TJ ET 1 0 0 1 445.977 83.823 cm 0 g 0 G 1 0 0 1 -445.977 -83.823 cm BT /F22 8.2889 Tf 445.977 83.823 Td [(],)-335(Selgrade)-335(and)]TJ ET 1 0 0 1 37.134 83.823 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -83.823 cm BT /F22 8.2889 Tf 37.134 73.362 Td [(Roberds)-268([)]TJ ET 1 0 0 1 73.357 73.362 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -73.357 -73.362 cm BT /F22 8.2889 Tf 73.357 73.362 Td [(22)]TJ ET 1 0 0 1 82.955 73.362 cm 0 g 0 G 1 0 0 1 -82.955 -73.362 cm BT /F22 8.2889 Tf 82.955 73.362 Td [(])-268(and)-268(Sumner)-268([)]TJ ET 1 0 0 1 139.661 73.362 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -139.661 -73.362 cm BT /F22 8.2889 Tf 139.661 73.362 Td [(23)]TJ ET 1 0 0 1 149.26 73.362 cm 0 g 0 G 1 0 0 1 -149.26 -73.362 cm BT /F22 8.2889 Tf 149.26 73.362 Td [(])-268(analyzed)-268(the)-268(Hopf)-268(bifurcation)-268(of)]TJ ET 1 0 0 1 280.17 73.362 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -280.17 -73.362 cm BT /F22 8.2889 Tf 280.17 73.362 Td [(\0501.2\051)]TJ ET 1 0 0 1 297.842 73.362 cm 0 g 0 G 1 0 0 1 -297.842 -73.362 cm BT /F22 8.2889 Tf 297.842 73.362 Td [(.)-268(Selgrade)-268(and)-268(Namkoong)-268([)]TJ ET 1 0 0 1 400.205 73.362 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -400.205 -73.362 cm BT /F22 8.2889 Tf 400.205 73.362 Td [(18)]TJ ET 1 0 0 1 409.803 73.362 cm 0 g 0 G 1 0 0 1 -409.803 -73.362 cm BT /F22 8.2889 Tf 409.803 73.362 Td [(,)]TJ ET 1 0 0 1 411.743 73.362 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -411.743 -73.362 cm BT /F22 8.2889 Tf 411.743 73.362 Td [(19)]TJ ET 1 0 0 1 421.341 73.362 cm 0 g 0 G 1 0 0 1 -421.341 -73.362 cm BT /F22 8.2889 Tf 421.341 73.362 Td [(])-268(presented)-268(examples)]TJ ET 1 0 0 1 37.134 73.362 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -73.362 cm BT /F22 8.2889 Tf 37.134 62.902 Td [(where)-386(the)-386(pioneer)-386(and)-386(the)-386(climax)-386(populations)-386(may)-386(coexist)-386(in)-386(the)-386(sense)-386(th)1(at)-386(there)-386(is)-386(a)-386(stable)-386(coexistence)-386(equilibrium.)]TJ ET 1 0 0 1 37.134 62.902 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -62.902 cm BT /F22 8.2889 Tf 37.134 52.441 Td [(Buchanan)-250([)]TJ ET 1 0 0 1 79.813 52.441 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -79.813 -52.441 cm BT /F22 8.2889 Tf 79.813 52.441 Td [(2)]TJ ET 1 0 0 1 84.612 52.441 cm 0 g 0 G 1 0 0 1 -84.612 -52.441 cm BT /F22 8.2889 Tf 84.612 52.441 Td [(])-250(has)-250(given)-250(a)-250(good)-250(classification)-250(for)]TJ ET 1 0 0 1 219.389 52.441 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -219.389 -52.441 cm BT /F22 8.2889 Tf 219.389 52.441 Td [(\0501.2\051)]TJ ET 1 0 0 1 237.061 52.441 cm 0 g 0 G 1 0 0 1 -237.061 -52.441 cm BT /F22 8.2889 Tf 237.061 52.441 Td [(.)]TJ ET 1 0 0 1 37.134 52.441 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -11.955 cm 0 g 0 G 1 0 0 1 466.251 0 cm 0 g 0 G endstream endobj 146 0 obj << /Ascent 722 /CapHeight 722 /Descent -217 /FontName /VLNGCZ+NimbusSanL-Bold /ItalicAngle 0 /StemV 141 /XHeight 532 /FontBBox [ -173 -307 1003 949 ] /Flags 4 /CharSet (/quoteright/parenleft/parenright/comma/hyphen/period/slash/colon/A/E/I/O/T/W/a/b/c/d/e/f/g/h/i/j/l/m/n/o/p/q/r/s/t/u/v/w/x/y) /FontFile 101 0 R >> endobj 147 0 obj [ 278 333 333 0 0 278 333 278 278 0 0 0 0 0 0 0 0 0 0 333 0 0 0 0 0 0 722 0 0 0 667 0 0 0 278 0 0 0 0 0 778 0 0 0 0 611 0 0 944 0 0 0 0 0 0 0 0 0 556 611 556 611 556 333 611 611 278 278 0 278 889 611 611 611 611 389 556 333 611 556 778 556 556 ] endobj 148 0 obj << /Type /Encoding /Differences [ 0 /.notdef /dotaccent /fi /fl /fraction /hungarumlaut /Lslash /lslash /ogonek /ring /.notdef /breve /minus /.notdef /Zcaron /zcaron /caron /dotlessi /dotlessj /ff /ffi /ffl /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /grave /quotesingle /space /exclam /quotedbl /numbersign /dollar /percent /ampersand /quoteright /parenleft /parenright /asterisk /plus /comma /hyphen /period /slash /zero /one /two /three /four /five /six /seven /eight /nine /colon /semicolon /less /equal /greater /question /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O /P /Q /R /S /T /U /V /W /X /Y /Z /bracketleft /backslash /bracketright /asciicircum /underscore /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p /q /r /s /t /u /v /w /x /y /z /braceleft /bar /braceright /asciitilde /.notdef /Euro /.notdef /quotesinglbase /florin /quotedblbase /ellipsis /dagger /daggerdbl /circumflex /perthousand /Scaron /guilsinglleft /OE /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /quotedblleft /quotedblright /bullet /endash /emdash /tilde /trademark /scaron /guilsinglright /oe /.notdef /.notdef /Ydieresis /.notdef /exclamdown /cent /sterling /currency /yen /brokenbar /section /dieresis /copyright /ordfeminine /guillemotleft /logicalnot /hyphen /registered /macron /degree /plusminus /twosuperior /threesuperior /acute /mu /paragraph /periodcentered /cedilla /onesuperior /ordmasculine /guillemotright /onequarter /onehalf /threequarters /questiondown /Agrave /Aacute /Acircumflex /Atilde /Adieresis /Aring /AE /Ccedilla /Egrave /Eacute /Ecircumflex /Edieresis /Igrave /Iacute /Icircumflex /Idieresis /Eth /Ntilde /Ograve /Oacute /Ocircumflex /Otilde /Odieresis /multiply /Oslash /Ugrave /Uacute /Ucircumflex /Udieresis /Yacute /Thorn /germandbls /agrave /aacute /acircumflex /atilde /adieresis /aring /ae /ccedilla /egrave /eacute /ecircumflex /edieresis /igrave /iacute /icircumflex /idieresis /eth /ntilde /ograve /oacute /ocircumflex /otilde /odieresis /divide /oslash /ugrave /uacute /ucircumflex /udieresis /yacute /thorn /ydieresis ] >> endobj 149 0 obj << /Type /XObject /Subtype /Form /FormType 1 /PTEX.FileName (./main.pdf) /PTEX.PageNumber 1 /PTEX.InfoDict 100 0 R /Matrix [ 1 0 0 1 0 0 ] /BBox [ 0 0 544.252 742.677 ] /Resources << /ProcSet [ /PDF /Text ] /XObject << /Im4 99 0 R /Im3 98 0 R >> /Font << /F150 97 0 R /F76 96 0 R /F100 95 0 R /F102 94 0 R /F123 93 0 R /F22 92 0 R /F103 91 0 R >> >> /Length 16403 >> stream 1 0 0 1 40.867 686.762 cm 0 g 0 G 1 0 0 1 -40.867 -686.762 cm BT /F22 6.6311 Tf 176.312 702.503 Td [(Nonlinear)-250(Analysis:)-333(Real)-250(World)-250(Applications)-250(11)-250(\0502010\051)-250(232\025245)]TJ ET q 1 0 0 1 40.867 686.912 cm []0 d 0 J 0.299 w 0 0 m 395.15 0 l S Q 1 0 0 1 507.118 686.762 cm 0 g 0 G 1 0 0 1 -466.251 3.786 cm 0 g 0 G 1 0 0 1 0 -75.554 cm q 1 0 0 1 0 0 cm q 1 0 0 1 0 0 cm /Im3 Do Q Q 1 0 0 1 73.67 0 cm .9 g .9 G .9 g .9 G q 0 0 321.203 65.232 re f Q .9 g .9 G 0 g 0 G 1 0 0 1 -114.537 -614.994 cm BT /F103 7.9701 Tf 200.287 672.934 Td [(Contents)-278(lists)-278(available)-278(at)]TJ ET 1 0 0 1 298.614 672.934 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -298.614 -672.934 cm BT /F103 7.9701 Tf 298.614 672.934 Td [(ScienceDirect)]TJ ET 1 0 0 1 349.99 672.934 cm 0 g 0 G 1 0 0 1 -349.99 -672.934 cm BT /F22 13.9978 Tf 132.627 644.657 Td [(Nonlinear)-250(Analysis:)-250(Real)-250(World)-250(Applications)]TJ/F103 7.9701 Tf 42.869 -26.566 Td [(journal)-278(homepage:)]TJ ET 1 0 0 1 249.012 618.091 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -249.012 -618.091 cm BT /F103 7.9701 Tf 249.012 618.091 Td [(www.elsevier.com/locate/nonrwa)]TJ ET 1 0 0 1 374.781 618.091 cm 0 g 0 G 1 0 0 1 60.959 -3.097 cm 0 g 0 G 0 g 0 G 1 0 0 1 14.173 0 cm q 1 0 0 1 0 0 cm q 1 0 0 1 0 0 cm /Im4 Do Q Q q 1 0 0 1 -409.046 -9.464 cm 0 0 466.252 2.989 re f Q 1 0 0 1 -449.913 -614.994 cm BT /F22 13.9874 Tf 40.867 564.882 Td [(Co-invasion)-250(waves)-250(in)-250(a)-250(reaction)-250(diffusion)-250(model)-250(for)-250(competing)-250(pioneer)]TJ 0 -17.235 Td [(and)-250(climax)-250(species)]TJ/F22 10.9827 Tf 0 -23.814 Td [(Zhaohui)-250(Yuan)]TJ ET 1 0 0 1 112.167 528.433 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -112.167 -528.433 cm BT /F22 7.7708 Tf 112.167 528.433 Td [(a)]TJ ET 1 0 0 1 116.192 528.433 cm 0 g 0 G 1 0 0 1 -116.192 -528.433 cm BT /F22 10.9827 Tf 116.691 523.833 Td [(,)-250(Xingfu)-250(Zou)]TJ ET 1 0 0 1 178.777 528.433 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -178.777 -528.433 cm BT /F22 7.7708 Tf 178.777 528.433 Td [(b)]TJ ET 1 0 0 1 183.276 528.433 cm 0 g 0 G 1 0 0 1 -183.276 -528.433 cm BT /F22 7.7708 Tf 183.276 528.433 Td [(,)]TJ ET 1 0 0 1 185.094 528.433 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -185.094 -528.433 cm BT /F150 8.9663 Tf 185.094 528.433 Td [(\003)]TJ ET 1 0 0 1 189.766 528.433 cm 0 g 0 G 1 0 0 1 -189.766 -528.433 cm BT /F22 4.6417 Tf 40.867 511.342 Td [(a)]TJ/F76 6.6311 Tf 3.898 -2.777 Td [(College)-250(of)-250(Mathematics)-250(and)-250(Econometrics,)-250(Hunan)-250(University,)-250(Changsha,)-250(Hunan)-250(410082,)-250(China)]TJ/F22 4.6417 Tf -3.898 -7.591 Td [(b)]TJ/F76 6.6311 Tf 4.181 -2.777 Td [(Department)-250(of)-250(Applied)-250(Mathematics,)-250(University)-250(of)-250(Ƶ)-250(Ontario,)-250(London,)-250(ON,)-250(Canada)-250(N6A)-250(5B7)]TJ ET q 1 0 0 1 40.867 486.534 cm []0 d 0 J 0.398 w 0 0 m 466.252 0 l S Q BT /F100 9.325 Tf 40.867 464.988 Td [(a)-391(r)-391(t)-392(i)-391(c)-391(l)-391(e)-1174(i)-391(n)-391(f)-392(o)]TJ ET q 1 0 0 1 40.867 454.726 cm []0 d 0 J 0.398 w 0 0 m 133.228 0 l S Q BT /F76 6.6311 Tf 40.867 445.959 Td [(Article)-250(history:)]TJ/F22 6.6311 Tf 0 -8.568 Td [(Received)-250(26)-250(July)-250(2007)]TJ 0 -8.568 Td [(Accepted)-250(3)-250(November)-250(2008)]TJ ET q 1 0 0 1 40.867 418.462 cm []0 d 0 J 0.398 w 0 0 m 133.228 0 l S Q BT /F76 6.6311 Tf 40.867 409.695 Td [(Keywords:)]TJ/F22 6.6311 Tf 0 -8.568 Td [(Pioneer-climax)-250(model)]TJ 0 -8.568 Td [(Reaction-diffusion)]TJ 0 -8.568 Td [(Co-invasion)-250(wave)]TJ/F100 9.9626 Tf 158.945 81.077 Td [(a)-345(b)-345(s)-345(t)-345(r)-345(a)-345(c)-345(t)]TJ ET q 1 0 0 1 199.587 454.806 cm []0 d 0 J 0.398 w 0 0 m 307.531 0 l S Q BT /F22 7.46 Tf 199.587 445.043 Td [(In)-349(this)-349(paper,)-349(we)-349(consider)-348(a)-349(reaction)-349(diffusion)-349(model)-349(for)-349(competing)-348(pioneer)-349(and)-349(climax)]TJ 0 -9.564 Td [(species.)-227(A)-227(previo)1(us)-227(work)-227(has)-227(established)-226(the)-227(existence)-227(of)-226(traveling)-227(wave)-227(fronts)-226(connecting)]TJ 0 -9.564 Td [(two)-434(com)1(petition-exclusion)-434(equilibria)-433(in)-434(certain)-433(range)-434(of)-433(the)-434(parameters,)-433(while)-434(in)-433(this)]TJ 0 -9.565 Td [(paper,)-199(we)-199(explore)-199(the)-199(possibility)-199(of)-199(traveling)-199(wave)-198(fronts)-199(connecting)-199(the)-199(pioneer-invasion-)]TJ 0 -9.564 Td [(only)-208(equilibrium)-208(and)-208(the)-208(co-invasion)-208(equilibrium.)-208(By)-208(combining)-208(the)-208(Schauder's)-208(fixed)-208(point)]TJ 0 -9.564 Td [(theorem)-430(with)-429(a)-430(pair)-429(of)-430(the)-430(so)-429(called)-430(desired)-429(functions,)-430(we)-430(show)-429(that)-430(the)-430(model)-429(does)]TJ 0 -9.564 Td [(support)-316(such)-316(co-invasion)-315(waves)-316(in)-316(some)-316(other)-316(ranges)-316(of)-315(parameters.)-317(We)-315(also)-316(determine)]TJ 0 -9.564 Td [(the)-179(minimal)-178(speed)-179(for)-178(such)-179(co-invasion)-178(waves)-179(in)-178(terms)-179(of)-178(the)-179(parameters,)-178(and)-179(discuss)-178(some)]TJ 0 -9.564 Td [(biological)-250(implications)-250(and)-250(significance)-250(of)-250(the)-250(results.)]TJ/F102 7.8904 Tf 172.375 -9.564 Td [(')]TJ/F22 7.46 Tf 8.098 0 Td [(2008)-250(Elsevier)-250(Ltd.)-250(All)-250(rights)-250(reserved.)]TJ ET q 1 0 0 1 40.867 351.966 cm []0 d 0 J 0.398 w 0 0 m 133.228 0 l S Q q 1 0 0 1 199.587 351.966 cm []0 d 0 J 0.398 w 0 0 m 307.531 0 l S Q BT /F123 8.2889 Tf 40.867 329.823 Td [(1.)-500(Introduction)]TJ ET 1 0 0 1 40.867 329.823 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -329.823 cm BT /F22 8.2889 Tf 52.822 308.317 Td [(In)-263(ecology)-264(and)-264(evolution,)-263(interactions)-264(among)-263(species)-264(could)-263(be)-264(very)-263(complicated)-264(but)-263(play)-264(a)-263(crucial)-264(role)-263(in)-264(the)-263(process)-264(of)]TJ ET 1 0 0 1 40.867 308.317 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -308.317 cm BT /F22 8.2889 Tf 40.867 297.856 Td [(evolution)-212(and)-212(in)-212(maintaining)-212(the)-213(biological)-212(diversity)-212(of)-212(nature.)-212(Animal)-212(or)-212(plant)-213(populations)-212(may)-212(in)-212(some)-212(occasions)]TJ/F76 8.2889 Tf 433.502 0 Td [(compete)]TJ/F22 8.2889 Tf 30.81 0 Td [(,)]TJ ET 1 0 0 1 40.867 297.856 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -297.856 cm BT /F22 8.2889 Tf 40.867 287.395 Td [(while)-324(in)-325(other)-324(situations)]TJ/F76 8.2889 Tf 97.858 0 Td [(cooperate)]TJ/F22 8.2889 Tf 38.465 0 Td [(with)-325(one)-324(another)-325(in)-324(order)-325(to)-324(obtain)-325(sufficient)-324(natural)-325(resources)-324(such)-325(as)-324(food,)-325(shelter,)]TJ ET 1 0 0 1 40.867 287.395 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -287.395 cm BT /F22 8.2889 Tf 40.867 276.934 Td [(light,)-221(space,)-220(carbon)-221(dioxide,)-221(and)-220(soil)-221(nutrients)-221(to)-220(sustain)-221(growth)-220(and)-221(survival.)-221(As)-221(a)-220(result,)-221(the)-221(population)-220(growth)-221(rates)-221(of)-220(the)]TJ ET 1 0 0 1 40.867 276.934 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -276.934 cm BT /F22 8.2889 Tf 40.867 266.474 Td [(involving)-265(species)-265(may)-265(depend)-265(more)-266(on)-265(the)-265(total)-265(density)-265(of)-265(all)-265(populations)-265(in)-265(an)-266(ecosystem)-265(than)-265(on)-265(any)-265(individual)-265(species.)]TJ ET 1 0 0 1 40.867 266.474 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -266.474 cm BT /F22 8.2889 Tf 40.867 256.013 Td [(Such)-220(observations)-220(have)-220(led)-220(to)-220(the)-220(development)-220(of)-220(population)-220(models)-220(where)-220(a)-220(species')-220(per)-220(capita)-220(growth)-220(rate)-220(\050i.e.,)-220(fitness\051)-220(is)]TJ ET 1 0 0 1 40.867 256.013 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -256.013 cm BT /F22 8.2889 Tf 40.867 245.552 Td [(a)-201(function)-201(of)-201(a)-201(weighted)-201(average)-201(of)-201(the)-201(populations)-201(of)-201(all)-201(interacting)-201(species.)-202(The)-201(most)-201(classic)-201(example)-201(of)-201(such)-201(a)-201(model)-201(is)-201(the)]TJ ET 1 0 0 1 40.867 245.552 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -245.552 cm BT /F22 8.2889 Tf 40.867 235.091 Td [(Lotka-Volterra)-253(system,)-254(in)-253(which)-253(the)-254(per)-253(capita)-253(growth)-254(rate)-253(is)-253(a)-254(linear)-253(combination)-253(of)-254(the)-253(densities)-253(of)-254(the)-253(interacting)-253(popu-)]TJ ET 1 0 0 1 40.867 235.091 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -235.091 cm BT /F22 8.2889 Tf 40.867 224.63 Td [(lations.)-225(Other)-225(pioneering)-224(work)-225(along)-225(this)-225(line)-225(include)-224(those)-225(of)-225(Buchanan)-225([)]TJ ET 1 0 0 1 318.807 224.63 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -318.807 -224.63 cm BT /F22 8.2889 Tf 318.807 224.63 Td [(2)]TJ ET 1 0 0 1 323.606 224.63 cm 0 g 0 G 1 0 0 1 -323.606 -224.63 cm BT /F22 8.2889 Tf 323.606 224.63 Td [(,)]TJ ET 1 0 0 1 325.546 224.63 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -325.546 -224.63 cm BT /F22 8.2889 Tf 325.546 224.63 Td [(3)]TJ ET 1 0 0 1 330.345 224.63 cm 0 g 0 G 1 0 0 1 -330.345 -224.63 cm BT /F22 8.2889 Tf 330.345 224.63 Td [(],)-225(Comins)-225(and)-224(Hassell)-225([)]TJ ET 1 0 0 1 415.738 224.63 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -415.738 -224.63 cm BT /F22 8.2889 Tf 415.738 224.63 Td [(4)]TJ ET 1 0 0 1 420.538 224.63 cm 0 g 0 G 1 0 0 1 -420.538 -224.63 cm BT /F22 8.2889 Tf 420.538 224.63 Td [(],)-225(Cushing)-225([)]TJ ET 1 0 0 1 462.882 224.63 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -462.882 -224.63 cm BT /F22 8.2889 Tf 462.882 224.63 Td [(5)]TJ ET 1 0 0 1 467.681 224.63 cm 0 g 0 G 1 0 0 1 -467.681 -224.63 cm BT /F22 8.2889 Tf 467.681 224.63 Td [(,)]TJ ET 1 0 0 1 469.621 224.63 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -469.621 -224.63 cm BT /F22 8.2889 Tf 469.621 224.63 Td [(6)]TJ ET 1 0 0 1 474.42 224.63 cm 0 g 0 G 1 0 0 1 -474.42 -224.63 cm BT /F22 8.2889 Tf 474.42 224.63 Td [(],)-225(Franke)]TJ ET 1 0 0 1 40.867 224.63 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -224.63 cm BT /F22 8.2889 Tf 40.867 214.17 Td [(and)-250(Yakubu)-250([)]TJ ET 1 0 0 1 91.039 214.17 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -91.039 -214.17 cm BT /F22 8.2889 Tf 91.039 214.17 Td [(7)]TJ ET 1 0 0 1 95.838 214.17 cm 0 g 0 G 1 0 0 1 -95.838 -214.17 cm BT /F22 8.2889 Tf 95.838 214.17 Td [(,)]TJ ET 1 0 0 1 97.778 214.17 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -97.778 -214.17 cm BT /F22 8.2889 Tf 97.778 214.17 Td [(8)]TJ ET 1 0 0 1 102.577 214.17 cm 0 g 0 G 1 0 0 1 -102.577 -214.17 cm BT /F22 8.2889 Tf 102.577 214.17 Td [(],)-250(Hofbauer)-250(et)-250(al.)-250([)]TJ ET 1 0 0 1 170.438 214.17 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -170.438 -214.17 cm BT /F22 8.2889 Tf 170.438 214.17 Td [(11)]TJ ET 1 0 0 1 180.036 214.17 cm 0 g 0 G 1 0 0 1 -180.036 -214.17 cm BT /F22 8.2889 Tf 180.036 214.17 Td [(],)-250(May)-250([)]TJ ET 1 0 0 1 208.682 214.17 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -208.682 -214.17 cm BT /F22 8.2889 Tf 208.682 214.17 Td [(16)]TJ ET 1 0 0 1 218.281 214.17 cm 0 g 0 G 1 0 0 1 -218.281 -214.17 cm BT /F22 8.2889 Tf 218.281 214.17 Td [(],)-250(Selgrade)-250(and)-250(Namkoong)-250([)]TJ ET 1 0 0 1 323.027 214.17 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -323.027 -214.17 cm BT /F22 8.2889 Tf 323.027 214.17 Td [(18)]TJ ET 1 0 0 1 332.625 214.17 cm 0 g 0 G 1 0 0 1 -332.625 -214.17 cm BT /F22 8.2889 Tf 332.625 214.17 Td [(,)]TJ ET 1 0 0 1 334.565 214.17 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -334.565 -214.17 cm BT /F22 8.2889 Tf 334.565 214.17 Td [(19)]TJ ET 1 0 0 1 344.163 214.17 cm 0 g 0 G 1 0 0 1 -344.163 -214.17 cm BT /F22 8.2889 Tf 344.163 214.17 Td [(],)-250(Selgrade)-250([)]TJ ET 1 0 0 1 388.907 214.17 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -388.907 -214.17 cm BT /F22 8.2889 Tf 388.907 214.17 Td [(20\02522)]TJ ET 1 0 0 1 412.903 214.17 cm 0 g 0 G 1 0 0 1 -412.903 -214.17 cm BT /F22 8.2889 Tf 412.903 214.17 Td [(],)-250(and)-250(Summer[)]TJ ET 1 0 0 1 471.687 214.17 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -471.687 -214.17 cm BT /F22 8.2889 Tf 471.687 214.17 Td [(23)]TJ ET 1 0 0 1 481.286 214.17 cm 0 g 0 G 1 0 0 1 -481.286 -214.17 cm BT /F22 8.2889 Tf 481.286 214.17 Td [(,)]TJ ET 1 0 0 1 483.225 214.17 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -483.225 -214.17 cm BT /F22 8.2889 Tf 483.225 214.17 Td [(24)]TJ ET 1 0 0 1 492.824 214.17 cm 0 g 0 G 1 0 0 1 -492.824 -214.17 cm BT /F22 8.2889 Tf 492.824 214.17 Td [(].)]TJ ET 1 0 0 1 40.867 214.17 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -214.17 cm BT /F22 8.2889 Tf 52.822 203.563 Td [(The)-319(i)1(nteraction)-319(between)-319(a)-318(pioneer)-319(species)-318(and)-319(a)-318(climax)-319(species)-318(provides)-319(a)-318(more)-319(specific)-318(example.)-319(As)-319(is)-318(known,)-319(some)]TJ ET 1 0 0 1 40.867 203.563 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -203.563 cm BT /F22 8.2889 Tf 40.867 193.102 Td [(species)-219(thrive)-218(best)-219(at)-219(lower)-218(densities)-219(and)-219(thus)-218(are)-219(good)-219(candidates)-218(for)-219(pioneering.)-219(For)-219(example,)-218(certain)-219(varieties)-219(of)-219(pine)-218(and)]TJ ET 1 0 0 1 40.867 193.102 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -193.102 cm BT /F22 8.2889 Tf 40.867 182.641 Td [(poplar)-246(have)-246(a)-247(fi)1(tness)-247(which)-246(decreases)-246(with)-246(total)-246(population)-247(density,)-246(mainly)-246(due)-246(to)-246(the)-246(effects)-247(of)-246(crowding)-246(on)-246(reproduction)]TJ ET 1 0 0 1 40.867 182.641 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -182.641 cm BT /F22 8.2889 Tf 40.867 172.181 Td [(and)-308(survival.)-309(Such)-308(species)-308(are)-308(often)-308(referred)-309(to)-308(as)-308(``pioneer'')-308(species.)-309(In)-308(contrast,)-308(some)-308(other)-309(species)-308(have)-308(higher)-308(survival)]TJ ET 1 0 0 1 40.867 172.181 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -172.181 cm BT /F22 8.2889 Tf 40.867 161.72 Td [(and)-227(reprodu)1(ction)-227(rates)-227(at)-226(higher)-227(densities,)-226(due)-227(to)-227(gro)1(up)-227(defense)-227(for)-226(prey,)-227(increased)-226(gene)-227(pools,)-227(enhanc)1(ed)-227(soil)-227(nutrients)-226(and)]TJ ET 1 0 0 1 40.867 161.72 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -161.72 cm BT /F22 8.2889 Tf 40.867 151.259 Td [(photosynthetic)-228(adaption)-228(to)-228(shade)-228(etc.)-228(Such)-228(species)-229(are)-228(referred)-228(to)-228(as)-228(``climax'')-228(species.)-228(The)-228(differential)-228(equations)-228(describing)]TJ ET 1 0 0 1 40.867 151.259 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -151.259 cm BT /F22 8.2889 Tf 40.867 140.798 Td [(the)-357(interaction)-356(between)-357(a)-356(pioneer)-357(species)-356(and)-357(a)-357(climax)-356(species)-357(offer)-356(a)-357(class)-356(of)-357(important)-357(p)1(opulation)-357(models)-357(where)-356(the)]TJ ET 1 0 0 1 40.867 140.798 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -140.798 cm BT /F22 8.2889 Tf 40.867 130.337 Td [(fitness)-205(functions)-206(are)-205(described)-206(as)-205(pioneer)-206(and)-205(climax)-206(fitness)-205(respectively.)-206(By)-206(the)-205(features)-206(of)-205(the)-206(interaction,)-205(a)-206(pioneer)-205(fitness)]TJ ET 1 0 0 1 40.867 130.337 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -130.337 cm BT /F22 8.2889 Tf 40.867 119.877 Td [(function)-208(should)-209(be)-209(a)-208(decreasing)-209(function)-208(of)-209(a)-208(weighted)-209(total)-209(population)-208(density.)-209(Ricker)-208([)]TJ ET 1 0 0 1 371.655 119.877 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -371.655 -119.877 cm BT /F22 8.2889 Tf 371.655 119.877 Td [(17)]TJ ET 1 0 0 1 381.253 119.877 cm 0 g 0 G 1 0 0 1 -381.253 -119.877 cm BT /F22 8.2889 Tf 381.253 119.877 Td [(])-209(has)-208(hypothesized)-209(that)-208(some)-209(fish)]TJ ET 1 0 0 1 40.867 119.877 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -25.951 cm 0 g 0 G q 1 0 0 1 0 2.74 cm []0 d 0 J 0.498 w 0 0 m 35.866 0 l S Q 1 0 0 1 -40.867 -93.926 cm BT /F150 8.3686 Tf 44.975 89.52 Td [(\003)]TJ/F22 6.6311 Tf 7.956 -2.778 Td [(Corresponding)-250(author.)]TJ/F76 6.6311 Tf 0 -9.195 Td [(E-mail)-250(address:)]TJ ET 1 0 0 1 99.733 77.547 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -99.733 -77.547 cm BT /F22 6.6311 Tf 99.733 77.547 Td [(xzou@uwo.ca)]TJ ET 1 0 0 1 141.276 77.547 cm 0 g 0 G 1 0 0 1 -141.276 -77.547 cm BT /F22 6.6311 Tf 142.934 77.547 Td [(\050X.)-250(Zou\051.)]TJ ET 1 0 0 1 40.867 74.976 cm 0 g 0 G 1 0 0 1 0 -34.49 cm 0 g 0 G 1 0 0 1 -40.867 -40.486 cm BT /F22 6.6311 Tf 40.867 61.009 Td [(1468-1218/$)-250(\025)-250(see)-250(front)-250(matter)]TJ/F102 7.0137 Tf 97.231 0 Td [(')]TJ/F22 6.6311 Tf 7.198 0 Td [(2008)-250(Elsevier)-250(Ltd.)-250(All)-250(rights)-250(reserved.)]TJ ET 1 0 0 1 40.867 52.441 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -40.867 -52.441 cm BT /F22 6.6311 Tf 40.867 52.441 Td [(doi:10.1016/j.nonrwa.2008.11.003)]TJ ET 1 0 0 1 146.287 52.441 cm 0 g 0 G 1 0 0 1 360.831 -11.955 cm 0 g 0 G endstream endobj 150 0 obj << /Length 90 >> stream q 1.000000 0.000000 0.000000 1.000000 76 775 cm 443.000000 0 0 54.500000 0 0 cm /I1 Do Q endstream endobj 151 0 obj << /Type /XObject /Subtype /Image /Width 563 /Height 768 /BitsPerComponent 8 /Length 48747 /ColorSpace /DeviceRGB /Filter /DCTDecode >> stream JFIF,,.Handmade Software, Inc. Image Alchemy v1.11     $.' ",#(7),01444'9=82<.342  2!!222222222222222222222222222222222222222222222222223! !1AQaq2B"Rr#Tbt$&356cd%47CVsDFSU'uv1!AQ"2aB ?bh:cbEJ $ Zy!M IP }f9%}PR} $VAcxOTn O:+ Ǣxu@9tWuAtuEJt"/h7êp€êDǪêDƠ8H Ԓ;@j IPjhZ $`ooB4p:u4@(P8P#Dy Z99H/A P`z xGT9tA|duPwJ=Ď(`z'T诌C4LРxOT8PTҀ{ t@tB=:  Ey+#/<#VjCz%=:xOT=ЂƊ $rΪ@=Яh 'T诌C! ODp_Ptj : OBAxu@#9'PB rL\OT({4JĠ!/A)PjUhַ7; L6j `>E&AO 5IÁEÈP~fA<|h2aЛNpťG: bv Ĭ8,̬2ꃸ][W "!A{J wjv.:ˈ8qd+aK`5{2M-/-+P Ҋ.8XO;edO~9цksb[DG፽f.\SLhIa=cmݵ7JF%6MtIނ7)*2TWimƱL1 nq9pH;Dcm}2N2boۘFT1ޜ+#_Xq[bóÎ-i.׺)o RME]l}d(!gv+CԔLwV( Tȡ ?o0:kr9quYGe'Z_tDXpD@k~' ; PpWƈPB (3v̝l(rr|Q4˚" q؀2 H!Z^=n |i}];egm /<1 :b,L Qv4 iv!t65/R)Vl*&*`{ #y]i+HVtܗlɒ%} "ci7.kvf?d7e&9䦒6&V^&2ыFAΤ[0퍣|+U1bsK JjV[-!XK̺F ‰[i9^3 T9H1YͲtdi6emŇe.hm1֋n&gbΖ[()0^˚f7OnSZ"oh6<ա%!)iAeJɒnhwZ,Mr\՜3N|9Dy%1s iydSLo[FlKNƕ2N-9ʶ/ ֘ZF:޲,@1Z'z sx &80VjʵIYĶ 3ʊoo\fX̓P"qx$ém/&7mua7;{f @D6ԍx 4 gAl_Mq*Sa~cF8OB"ّXt:\Ah$ q.?IX0߹]I"sA5!x5$}iLژOla,fIx$P`T7#9# 14ŁrQCI,&E ]kZ}I[&N,}Ǻ9*#A-i6fв#*1ߠ{]tѶVyf!LÙ-:%@7,Y]{6!HH2z]l,FyvkͩZ -)K}}-%',ֈp`RڳѭȰ$'aDwwKca͗ỏys?~R`ljag- jß6ek-ьFĈC.z91?Y ?{zTOt+ :xv26阂$B<FX[rrϙpFM{PkZ^ -͉(bّGqk澭o@ AS~k8ڐ1IHR&! 5mCGt +y뮙Hv'Kr֤˅C(ts)J9J~M[Y1: dʷ&$-֖ZkaݛI*m;òY a皁4ʋ-"ĿLI=SzAGiikOolWyvUƖبe?h20 k5 ;nѠ rֵYf֋dK>l{蕡">ñ0G!BE xQa1)q̟lOkFOJZ39mڜ!ODmC+xpK ]Df [N {>BnN^n;}apo.#'3j> {Vq)-e̖D`E9=?kvvԃlQaD1k}TRKL.iMJ$oh@h. y~_dmVNIX1m[D0#dz"8dg70 ILyyN.dݡ17 Y xG5Yk5UoynP^U [p4oCABD(UL'yŻxo8d;LJ6` ZsZ7q#sɸW bb^;ٍ ޱHa厗ވ@"#kF5Bkljٍ XDup#>":d,dф؍<\ywK/wafw'hD@ êJC/(0#T8D ݪxu@9tWuA<% :;B4wJA|cEB13P p@`9 2x(;{)W/$@8Up@8WTu871oyKF?CAWN6Up-}hj)x:Qa-&u$%M n5 u*oqR@=Я0({\e: V%<%>A̠RWsO ÷@]AEh7>T1iQ4a4-2Mz 95RƐjC0cu#C\*{Ag[khndDwц ؞}H<8vrBH({ZF.L5ÃQ6Uys+ɴ*;B'"NdF ր8vϧ+RGk:p%Ǖ6Y7tv=sVBP)ySêJ# @8uO3wB3ntOƊ DUtj֜ pPO 7jP-7j3h1qP)RЂEH1$OV"x P hEHԒ booB#"dW x7A/ qtX- gq+r8RИll80s@h_j,PHI9.#|6խEϴfaH$ho wYKZjBjumL3qJBDsvWf8p'Nf+i,^EH E 嚛> Įê<#@ӢA|eiȠ3vSށx!/hW҇_ $wJA|g~A臺R*8( jP<=JAkWA: UeEƚ{(/i/U{Aph҆hRVDIR8 KƏ+RZӕdgC ZhhA_K䥤" K1HGk ul#\Hpf6J$}1 e"1v%j=kZbV3R!Dt2aiHikM5'fЗ6ش.kրS>5qX`|(#C3 euH3Y]MMG_]oq$${f8p=sUwJ"(UťSpP3i蟤9 WA({=⧇T ڙê@ӢA|gU<'m3wDꯌhC/BfP<:*授ԡW9 _i(T%hpp8\ksK\w.7m6HXX=+`əD\Z4衡rٶ[ϲeNhɶmDtC]? |%VVTŧ@>Цm=){ Ҁ{_ꙷDGTǧA(3vPwS:7EFO  ݪxuA|CPt+ 3i@ _U<:!(;6 A<:>'Tw; @{TxuA|AA(D=jxGU|c;)=Ђ%<:R1(3wBj\SԠ `NpTxQZM㢤UD-L[@.!|\0#(-=Ž UŽ ! PJ/pC_槇TҁS'T{z U |MҟB {O)tfПP)pWPCUA<'&`JA|DSê phWO* ġr  p A -qŽ7rYl Dl蟈au7K@WMN=fus,Ojᬻ̿~[U^`)U#6+hlZG}ac0lF9g{KCcvf×|h-}KZn_r3<ڿOYGv絍p;?o x:,D ` h?U{[r_TO A|MP`B=jXqAݭ.I3 tHk\@vƵ޳ڱW_;m{imٱ eY &kM.;eT,-FesB/v]@ۉa߿~қgYCۆ״nن)U#Y 7fKL! ` r?Em$ɨtjSê {ǐSê P_TҁNLP< +ui݃[{[#7"xn}۱?[gkKXmeCd#+ r5msWW7?&YI`?DZL%Й6>0k)ڞN۰:Gy") SP&`s*Yc|Bպ]@oJ8{ xi[p"۶< e׳qLEsXE { 5P">:KWo.Navg|//_ckP^- nZc6b.cf|bU`H+'S!*[6^W`A1W;}[r7{қyiRD$" ībA 0oyBJ̀E0|Jç{]ة7{1jDp&Z],_viR\.*t:]05?fsҖ3#5jD=q ê/r m&gei'BjnA{Zu?ApavqMr`oSb5͕k:ӓ3^~sH*q7B* %֌\M\X634Hiϲ;]kPG4O R+RJ =2袔L[T_6_g--% pP$5nS/fV ߤp[9?X(6aNr˜)0ކȌP}/@k{ӕ p{ixOhskg&͹ [f\c?Onؖ̅gMǞ0 MC{gt8uo-"ذF'dHr~x(bO aVI2;{ilœ?Z'3ӛ 6h`1 kد7)mo籿W\ _gy+^Ӕ$ [Jr&A"(cA `? o?u6cmZUu^){/e و^UψasKݻC~'⼛{Rz?yk4PZ:g}Z2dXLvOlCFJ@łCӳս-Xr1 ^0+mO'_}Im lMAix!sn4RVlͬtKJq¤ÕKaCsjWyk{L16SYτsWtqO v6ɳc[6.@5CQvp1cZӈ#^ívZi♁ )~ӭKUШm|٫%dx!ut^(^ς}Ƿ6RӴg7ڹYkNL_|x"b;!~ieއY_ND]JWt%jI x@⯋A<$)]֠(/sTŠEr*xH WRAோ X<=o5x׮;>MzBo1gpntvOa˶6ݲ"x%\'VՅ⢺РNem/-V}aWYT l8QߏQeu -]qfخi(l.˴_ '\<Zr`1  +Ѡ6ccA&m<]1ǂ.i'u϶(`[Ϗ~k흴&g꿌i7t*4?ś!ц[sྔZavu*j3Fd:>~<#m Cۛv &d]֌WDZ9VoFçe b0f!EM%t n?]9"\4):kԾ=m_ɨ] ňR ~p yl;m1y&`0JϮ^66M߅Ƨg)OMFz,g8VwZFŽS^#l6)+]3ȷ @3'ōUq8 'rrQFVs"uVK[) Y8MC{K@MANJxJ\ms' xG4)zR5+Zʴ(NZ^FGQ1oEs# K%{O<xo jϯ] gt14^۝a$#{8o?VxHУPzmpLxf=F*Rx/{6JU{6Glĝ+Ymldۋqt._h?O09?x +ݿ?ПK䥮za Sv)=ko+QYж|dv"?=Z_ ={z:?܆[sྛyٴ$b9^}Nx&?)c5gU7s af]Kip+!Dmn \,ka.vaOg y^v:x<6U44]-)-hlKGj-}X6&^qd#|X kAckyS΅y.{W8IĨ{7Vm0ək]}Āၽs[,]:Ɩl%sK ΀5tpm9jxЭEaWm`m-󯛱]-xkq\;FҝZ1&f,CR~Òi7fyǘa6kyvm?JA'I_+0oT9)' KD@wB i-]¢/# bފFaZPJ\G7J.emmlisEkѺ p+ʿz=1,͘vgګ"jf  Q"=eI$FE^buexh[k;?aoraq{„uX]'?C͕o1welZ ɕVAnt8LiDm;b%ce?Eam`w Ow%5\/m$^mm}Xx:u/MlݧS%XG*W=͟۰ԕaSQ#BsA.;w"VsR%%+gHB1@мm[#SS؊nܱ>'t"V'?5lZFFʞtY ,|2 %.Sê") E ~@A<:1AtuTSPp-fKgV[Xy  /vF6ѱu?SY텍cIJ#Eg=" F8RYK͎'*;)SA2qr 1jPSwE2h@>%lU+;?b;#Ld+ZTԋJk 6z/ʎ޶|K.ԻO?kdOl,3jIA%V =-3f'%SDqTwBV Z@KBV(JxR+Z.2o'+ZKE*+A828*y|\ \ K+j Oun^">La`mhoRcqQF/\(\Lx%;iͥJ{pA|CSê {M|Cވ'UOxA2oT$gkek/_/,u ?v;s׏eU7 U=(7 PZUΥ-.sYZDhN- ׃[iD|:8µmퟳY2"›/{! pzl-ZqŴ-|%R`D!ĥKHm 2'IpZ 0J={WEuA|GS 8JT4q@wRkSJ\%. [႔@̠R.NJ8)G/Ž\]L[aO \\91oDu bޅ}ڢ uaɆʶ*X:}vTczcqn}i>4DOo+\ߎ~g6\.i]֓O@?+_ѻߓS&{> G̺8$44֠]B wi;t&_f{I/(:5dMLDo:QPz'ol+>ޗg!! oaߏދ[Ѿ!ϳɰHjܳͪ<{HepҼ۰mM (iCs\Ba\]32y"D&Z0|'B!N 5|׬ཷzxĻav4&nZMK(./?K G44տ 鳌 s,,TNg,n,vX\#Y:.B%-o&SΧUbK ؛OhϲgZ;4NMTj/o{Y;& *bFoh^?svs?g_>C} ذ{\ A> ;o.YfEa«Ʃ[- Ek+ydoĘLpŻF# gl JՉ,V0[ ]dLIKM:vgnE5'ev!&yV/pYO)齋Eb[Fʝ.Ѯ:/hȞ+|׫VW)A|D S <0RAs' R3(5W SECTż¨.NS0X)\]L[Bx jUͤ溑fefC,.nvBl۱"rz?C+1]> C3= ѻD Z+mF=[d$o?WxjYXpvl*g{Ѣ4Ж5iMVcWw9fHZV4ZXAsMZHp$t f-huX>ϩ׎.xLqtY״MNO@˸m 0Lb>$$f^Ne$cIؖm1b8^Z/;mw̼9C+-+„ǻyƦRٙP8{ME9,NmhKCu¾]Zx^ y=N}:ųDiLޙ^aZzsཆkhO9?tfV5HxQ_Jv=`~M3vfwQ~  iygl;=h㌥HRBg%ϕk5Ůi Ѓ,6k[ݘɀأOewnA.Cm >BqAwȑWezfa|a(D x.wK%MX¿kV̙Qaݞر6}?W7ѩxHö-"i\.ڵ,91eZqHÁTiIvǶMLK4VЬbœZswjt~=jƷ,ݡhSLu͸Es]жZx*_̕|GA)ps'%.2dAZʴ(p#0`UDf(%.#0U߬xyqw`K [x/աf:~j q%:}x.nI;!#&w">![k[sֈ 쁨f+*$.}i:ƷlMRanxT(ha:⹤f 2A_3zfݒeIWǨv+>yWSOKh Fd%'^p5u*ىgM.sN !uqx,^ض7`07P~aveefo93a=G/.Xh1e: xQ!EaikyxZZk,@q=ik]Ze-g"Lx_!0U3}E} O7A>썭ղnƆE<^<UnWZ}mTd%hCË[e ֥9+ >,XT|lΥun=[IvZ\uWx -~+8j (/BĔ2x`. [႔(-k ^j(MqRU)qB~S3)[x\LG|ڽ-^ѭ2Vo=xXtk1Q?+K9iDd^ć!Z! wkyjYdb_ $>|^> v |WeknWW[̑Ez7eqdltţև2#Ev0hBJZ"\_R2˒ϺÔq >FrP|ؾbZy^ y=N}:xok7h`$1{ xh}x.n6~h3IbGB?gA*˻G;_cE F~! %Bg{@im_5v{̥1/yH+dz9F3Jҙ냸/?$=6<>_Q[wSyOg7&V[})lvU9!= &2#+Dyv[oWKŴIdo9՟0g4Sxq -xW ٖdg&b#w!7qR#`Sb,lA3hL444|9Gvq%SpU wFdO1(.d)KRԠ袄s LGDLFB.#0G`UJNB/"x\qfKZr˼o0q*߲ޕMdԝgwŇ.ֹ2]m(#j~ѓ78;džڌ jN{^ܭ ؝.)=b/βd"Dnasxb.\C;+W{_+~ɐ ZܲEoolf̲nFŐ]ذ5mE L2Ҳ^UҖ }equ#`Fڲd6dhj]aV$8:ZIni2K^²a-kH@Z"b/kb#4OuoK%Ylwv.lD&}+q4wV%jD% KQF2%Nʚ{]~~vP{^?śL1;bò,vT$#ŗd < tv2ڐ~Ch;8غڐK#gkEf{Obo Jd-Λ%+155eാ$G5ȝld6 7:a%6ЖմdY-34CN$e\u]Rϻ VoJٍK./쯥ϿS&C0i E,'vz܊,k(6.F,ϲÅ\0 44| yAmF3 B`p #`6e->M_l>Ɋ@^a*N6 ]Hy(<͟#6~&JZ9  \MI2&.k&QKYr0FGco.~d@8 JOE%VxPR8q: `5)[r `7EOxUJ b5  K+`Vx#PE<$ϠE@;SOrAyTC>@;OAS$Q)%\ (RTAp#!J{(.d)Lix1@UwO+"'WL%nLF7)q o'Rӡ@pW Ep(.'PxO \Gb>!0y.#Dɴʳ氿4"88ވ<=POTE83U<:k^؍sC\*B~KdU!p*ϲ+\+*͂Vt `.S@l6s@ S [Ap=U8r sGp'TBRJ=g@5SxO!D*xGU>#D3T@J |G@̕s<J`5)[r s(5p&QZI CakYIN̕띝9ݏGMRo JڏچMLKG,DkĹ͸j߉~99;S^ȴ[a0^C}8xݩldhc[MdIw9`DŦvT5պ#,Aã shE^keVjDL Gѵԅ[+[ud.ڄA0ob*щ~$>;(lD&ND,V8'tj ;.nj~م# vk|^08Yk>Mm_Xre›uV|[a7?nh>1Ǝ-jV-KRʀV\(9kaSQw.KWg$ܦGY7+? @^?퓕=u\x!w&\E^<@h2},6{aD4D31"`=ӍNy%m{KQQ:RP6A/"浼1R=#y86cK 梲$wBc؊KMحbHl|2Dykh"Ŀp7xfw˭b_jm0ŋis[ ZUͥ#رA!Gn5rv})+;df!ӎ܊8CrٓYɨ0Սd&T4|&]gIFMn鑴 %?$\Ƥ _׹3<}l6 t{¹T\hϯL!U%j U8BwFb9 fRb9Ğ ^ ʙs%̞)Kz Zފ*q<´j H(T˛J LGp:ͥR1 1E2AAH BbzxNJ3P[1|a{?f!Cdw7F*{(leM m 6E͓WiTC CdV:؍B 9V+.  b$O4.`4c(4ą#KbCc5|l8pÛ `7ѭ|il?y!5`lg{(Z yiyV^^ M00{`'"6#ִsj>h1-cӺAEmCrk\ 8nc!Ʊ|i|(QZi nh4Ak7ZZ "4=,U]±v6ћTGGytZZ{YK^PK `h@ ?Ŷ`F| C\jkNa+=&Á &oT6G s^Ox0UAlG=a`yYy1/0hEN5CkXַkE$|JBh.iz C ֌hKhH6;NYWiT/la~*Gk[1 fTÀ 80 6C0cFӾ0{s]X2sLHrbMZ!n\IJ8@xܩBL@:K5Bj QJ`5@ȜWq 7 JࢴЩK`.' F#PxPLU#PxW :0P B6oYl?3GGҔ-Y56ݕciR.1o+ZV϶$9f D\"`LAV̔dњtB*\y.Kj~ӝ!32~B9R jamՅvg5nkICWC,YȒ}%53(hclL0,hVԄHp!hlvu7+rg-kē) `Se 55k>ʁlIE-2 "u;{aZA=bIMC|ܬ*Έ $;+vڹh)ܶlos›  4[xv:hEͷy>)6nؖi[2֓Ã8ǘ褦X6͓$ΰ]8:+EW[b$ ~]>6|6gշfՎʶ5Tc7-͇!ޱ,۰䳦2ղ֬e(݂Xf6۾Ùl<(r3\Q$݈e^0- CkHcvDZY '+1(Qbi*\9cmcVf$9ݬ0o{iE-cfK.ὨZݴV,;jVQҦ()ǖ*LچV׉lGdlö+&8{Oq⹲KbmjJNŖ(qm1rc~l֔C5o{ȧvfv DN9FIgߵİ]ZWиq<+d-i8 ł葀KslLR3<6J>p<rde)3qZ0އp1Ʊvglrõ 0/ck9;!k~W7mIA$7>-'r*ikYڏ =t!8.ڽd6M[l2fda@5nIlx"bɠpo[{QaIYmYVU3$" n Y3+mΕ`LCkH&)Y#B ѪdԩJ N'@"*P".BOAZEUXli10pCB P= &vCi#3IVYP졸C; &L-vKz=̺Ɵr#{h&"s[Zܝɏ*fnY+5#Z 4ʻIvccaJ@ Hkj\SElm)mČW͏g  )Rk[{?- &&WˉZ,x™,h6>ֵmݴ'%#Yj)4 |7n+n^wc-(u3hZϻ'D Uklñ6gl;OPda5޸]ϒWc0mڌEߗ  =aرflո-m -HSqL4. oqr-[ՐۙL[jVѲ'3p h>M Ycl/b5lR,iV 7ljߒGDl9 i&3fēZywJ+)֬2)d-6w +ꃽܚlu;_dOٻ% 4G Cd6rv48p~!jPk?OOe@=ely q30maB. .u6̿iG5$4}[JbMvnғ/eMĖJ,lA>C'vq+J1`ٰ2Їǘ oˊ0J˛2%BoK46Vդ8rz;6ʗwaZxT @H_ԾGKm~VF,Q&f,i(tCh$Mg^mDLZlap>'yLʙWcl{zۈvփi#[ o;x4ҵ溉M gNY%ϴ~ Bp#!Tc(6nj/ipVs ‹*1 uDž/X]+!de'#D(_{̃\ cjm Yft"s:3}Z>K\j\FeY܅>TTs%O"wFLG7E9@&t.B2ָ`梄b3wZb5n\G ¸4Щ҂&'ETsiDo')x~s1T$sA ȡEO?cNxz0Q꫼]P}??UƞIC)?+jY.$5h0 1yOE%1")R%< |G@5*R(5pW Jdt RfR#X!TEEi1rSU O\Tڂq/ aA+p<.)J39"1#*p<.)#6E#LOP QL<  PESU1=B(/(Ƞ97Ȣ)o?pè@05EuDE8U(ƒDTu(̪|_PQ89WZĪ|\D0=f9 wFb9)^B`pRq(@1fJ \N0#(+XKAQZN5Tsj:Ƈ‡1rR8^i\ëJ\G "*ӘZP *_NbE7Ȫ|]j|_7ט)jpB ~ DQ"CEuD"Ţ@sUU (ƒ‚ yu(o2y!ϐ(|aNAxy^q5D1T 34?`zPd8^TMQ̔9GJ`5(t|ԥ@ QE##WTL6Jq"Әf/o*11DEL6Hjy!C}ysӘ y vZ U7WE||HhŢ s">8D?E?9u9 PDAxLGR̡C!0 PJĔE7x9 `T|ҘRfJcS `G+JT5pDPAK<F#1?WL6V1?d `90:7ט4(#E0PZdnD *cLiQ_Nb/"P0"ESuy9(>Ҵڱhǰ찿fA!;#Ϛ|&s{ٻ,%<2^<ԛˆ5:wm9N\cƳÁ0iGE-s\@o踶oi?k@pa:3e 4#jiAzl?fvaZ֌ ~R$Ӳɏql9)BMִg0/"c5pM?ɬFRڳ`ZiYxǢvf"Ǐ I8/|* v zjc>σ4A6i͙/rHkF):v`>ĴG>jlE,ڰkgm).V1mH[u VG{+i= `tGDf#tG6VՖkȺ!ǂiv}>Ii^jE Fs,>Bϐq>OP8r.!Tv+x~(1D1C34?Cuy "S %yLG2Q&G1fo(5`,sP*G/=uUgM@e`-rVb_p 2ⱆےdV6Y7nEĻ!?u(5lsvo$\oq#zdCa0`Nf$ELXlK}9*k6ۨ6qr= R}7h1d,Pblb{ouqOO=d{u7!qk"wJlk^Kd,E6#y\v86hVĉ϶,vJB7ح݈_{.ؙfk 2V.E@9Cuy Q0 aNB.!TjQ G77֙&(9 0o(qC0?p¼U*+MsЦZS3&?0҈RW7םƜ5A}9P0rZP #P:u *1 cNa(/1D@Ә Q_Є Ѕ( knZ*ip @ ܐhl(pˋ!pZ=xT@)MCp @n"5k4ZPtA75 @4UnB֚{nu Ɏ@uA}9~3Tәj֨֨/3T}9P12P PZfhtn!DA@SSz z֙q#LS(%PkL(sB1xJV_4OBaե0 sC}y u4Ә(2W@Rœ!BaCuyuyP BlǛyP&&xi '@Tl!~+w{ZonJT7-&!PH W8\Ix 3RzR{P&=8 ~`y lOa+6{f6hAuh/mۖE&~ԒX^;Y8:~Mc4nw-!$hqākls(4:׳gu('0c4C&ui(^ M((-!Qx5ƴd`2 NKlk`ڒ*oj Qv 8]h80C,)rq&f5L(.%qm&N$VMZP lFŎ֖ H1 i,(ڳ G0b}q\P`Ƌ7{"`s'*&zRV4bylD莺惉=#)3/-3;/:tp#$Vap3ecЭ*޳[^ĚZvem̾V)2Ө..4  g}c6Ò=;gF#@(wْ3Waw}_T]di"֡ ،~).hm7ٲ_b+؇;Y#îl!CpgP.;^^ ^afD̓;3A{fhn~}vlvJzƘ3O}<$k?ljg1J:$ es\(F ó,vnOFY!w~Ӓ_~hlfa#q,"{n﻽v5"Ֆ>dG`1qi\Zmv̑ő҅L iBxٸʹgo6Θ'(t?+|g^@9d9^f^fSJ:R1ԠcC}i@9; W~ V)W jFw¤epDjPo設$bPp'L: L@111MQLi+РaJqL?d))Zdj B0#DZ B6$2Ǵ9ak:[)`fAdu!DwlV^6R֓7ZǒpdJmu"`2GÈ>s ZO%w3d5)59.رiha<ȡL3b2Ïb6΃dgD5-q&\EWmcbE[֩@٫_́ YL0 8'Rkg,yqcOKeĺ! M  읁b>˂_HIDu]W@pU)a= 6l"&%'Uu(9Ckzsgi82PCs)y hj.ќ$xtVVH8+Éb66ۮ5vuZ,+.nNFRbJH.dIfi aL5g2T)r2̂ɨOM\)}$İfB` ȕhUkrOf,[:4Y;:Y. $ $v>Brcueʥ*9@0 aL4h>i恅9aNBS W;cԔC:S &PhMI1#UCn=Sriraո" ;:>h>i9 Q(/1DӘ9 cLuo1T j0' ^0B!T8D8@A`:P}P3j0 Uz91=\s5@J P2 (n!D9y&: u)s)9cJjSW3R9:cLu(8gpN4C:KT 4J`R zPƓwQxJd:CLqסL1⁇V&ex@ ƝBΝB!o:9Ө@9ӨCuiB.#DjDuy9P'  /CA0 e(!@AP? @jP`9ϐG0Ԡ Zu:U0 (n!D9tNNttN^WK@| /1򂆗 77uILPcwhqNP0r\z aΞI쟒~I쟒a aNF+@W@+O Uzuyr4@ `xz G ˩&CXűVmmű%jNCl`M RMhːcZ}엖ijqZ˜-KDX 8=T*DzL[;C=VI!{Cֺ&Vh6L -;UsYq k.s<"N)fXQvbzlIȹ%ຠnzgvdZ6[RJbqԖ3nȤ 8DX0莅i9ZbQT>բE AH!7RSCH2Ԡe(p<1r8r@ts(F#Lu(P_Nfe^*9 +>ia>h+aNW )+Ԣ1|TTL栆0+¡u u@_4[T i+Т+Ч ( )½ @+NbӘcUgTuiL4(R1BҨ>CLG@PH!̅O9-%գohm  ly8E!t=r۷lSk~o5hHJ̈:44 3i"mٰU+$E%z(;ݱkݱ\Hl0iKljօn9lRχ ZtC$ZU[6݉@*v w:o] -iٛm׶#[Rџ@dh %{18yEc6eO7gmNΟd{BXL5 hnN5mtWK<1 3Ć0c9蘟Z@eLeG@YeԔ@ @b: ORs5@q@7W:t J~H~I9 i\)½J )½J4RW;c:&8gp肇\nMqPCwQD E㢡u JoS|11P1SGG1|1|^w! a%)AeL@(oBP P(P P8/P ZT-kٺ4P(H kKh_T( u(СH2=J]1 AP2P!D1c ֨2aLAD!Ν8gpLu4O1||111;D (u J &00t: p8gx恎3u@ƴ:u:C@CMrcOb:$}~(n @us= ABhBޱͅhڲRqɈa-8 HIR혐5D=Pm1$'iɺVXG#4ƴ PYHA`sY{WPđY9[F%3f {"Ax{j."0j6~,e۶k ,7+}Ĵ$db@dzDp+bҶ7Zg#5+j]C#AdHnkF+jJё<D-tH13A9+ ·yk6I9Uue6Rfe֔hl'֛5ԋl2$'`Jf81!A1F \щԕ$cG+9B5uho\X6ٝ۫WBh: Au1ukv.`aY퉭lI[@l_@|*͵D-I,v:fch͛混VZ10yd]p?*į<~M {J;E3 4m7k$] P[e-d6pvhHt[]j<8&~;<ÀB0a#UnN?UXBͮg/Tn=oTI4-ZjbY{,g_)^ ٘4 AuOfsVF=%2f>1v-H8詟9 -j`1\Ax7c{mv-NߙC'sTN?S׍Hé-_ͥ"W´1fF T3iٔh0v#Bc3sˊdO~yU J`:2P)AD V&.BJ18W@œuL:@KT< t@3 t@PPhM ^:*2'NP:Bt0+a^HicǢzQMP1WT9Ө@CJe#CU3֨`:hy_kC,?2=ԷPpls197ZV򹳖l;'77.Q Ih'BGTZe, IHPfg]3*ٶd&%,fKK+@jMJe/g2^ #н؛fRȖ xs_,p}wƵ+m%d,ix)~L6  iȕ2[=!d(a!ֆv\+=5,ȳrgWzp q?s6'[W;\o\YR/mJ31w/nk |ԋs)9B݋u@\Bˑ,fGY`Bac͏3gG{u\jNa 2&hLO$s)K bJ'>=h(N} Rs! .8W(.z;xPZn%$hP?p=53('U2Vҙ2 %2 _N`%p=J. @%)u9Q=|P0D u5+]P0STC@[LoDJaaaڠt:tP  A:CP:Bt:exL0 < r@z[@[N|/@KJV1Eu ,P)1G9)L3֨up P)~&Z ݕS퓆>&ѐ ,ع7Sx͢ęévpkFOVZvHlrfb (1_/';gdBhLjs0'b yWIXvdhFն'VKrz$v9wMڙCgQͭ=,sRSR/sf&5R4`md{>Ѵ,eDD3=^vg]dLZ&; 'R^9xukB&vz,glhQ}K2)Sq^mfMDzlvXZٸ֋]Jd{Av֠HE6OLl]=M ;1j3~aCC"a;\}RhPȠS-|=RhG%s2=|-(\]BURu:yڹM|h|aPn97W[a6eiYss"aeuj ҡ`.jǓi.} ۦiAjg1#k^a Xkx$ TDw`C禬hvr򅥑n.mGNd.d=CtixVgƀƐ}//&N5 [A[M3fD o 8"|@kg3&(|FA1X xWXkM,fPc=Z[@nq|)i ݤlih,+:6Zj灼I{? ե7hµ&!5·)ˮh.4gl 9)XӑIL7jaFƷbܘkz :ĝMDew_j9c~Ky}&Ɗff,Fk/gT]Tg*Lμ@gZ+H&Zˠ@z\4MW=P0Z c~Q~˅êcvX c'^ /=S <:epNN1àAS$~"*:cȠcwӨ@&ex<SxNZ cݨJ)JgJj+L<=|2\Ψ%."BLμ@Bg^`e A<:}UT?UN:-j&_=BhP\S-\S-\S-\S-<\Ο+uyL}J.*jRҿ \Je'=JGS!Czayt@:&:: 7kLTMC1ǡcw9zc8gxӨN^: ]Jdz z4c@tIL@Ǯ:àD eW=P)U2O@μJeȄ:󪔺@|J]ND J] k~Kn`XL/>Ǐ8əW\.]j1G4+ܳKHΒں8䑥ʹۉݖ&Ҳ#\@Z}1@Ri%2 P.=u~uiӠ@IDO:=P[9V* 8")UC:t>s:=:)S_ @sG>XD )d )-sJ]M>.zyWLy(&\B2\ eW=~ D8h|S|u p= A!yT=~d4@EsԠˠL(.}>S.*->&#ݳS<5*ݧ Ri)va=~L\1J yN=R2<ӥê @P Mu8P} cȠt>=#<zh<)d:vD_@OS,AnT˟ =P)u4W z\O_4( >@$hezPe p= s=|Z)s\Ae>Rz D}J ʙ->'dyt:N@ݸdCI ]zqNT}<סS)d]<>-} c-A) \\~>i(&! @hZ}Pzq: f4A ii@9_$ D 4`z  N:RhϩAp2Ri@zZhO Ah&o('KS4*)>ʁ§ʗi@>էѰJʨ-}~><OybyBt cs~&R2ꁎPh2LA@7WUNzL}r@h-O52p:sgEt@hajb=f>0LOc-2A,O<~LP.Tԧ>')O8_>>ܾ߯y<>9S,Lz}9O_ e1ꁏ iPSo rL}r@i-Z DN@T4篚=PzO}aN_du1~.:P@OS->ϳ}=L-TO '>QςSt JGAe8SOt4aJ|A=S+/@}_?S!?S, \z} z?T?R bD 4'!4zcsA}Z}eDh2Zy f4@i-<^AZy>cc:@9C aa)_8'=~ɏTc<<$ }Oܧy yTO St :Ahќ]~uׯE ) ]N"%uχKʟ$~]N_Di@}Ɇ'\8z~OY&})tǯdâ->$YzyPK+~Tr+A_Y.ҟ$:c₊n}O)P =Or]|y._D]N_DSגz_9zG9 >⁎8z/\^ $}4 &#M C=S?\PZyDeCH=Pc::cc8z:i0DO=y=P:z)<iO_tTMu(| E|@>z2(''p @z2=>=S\18i@$O& Y:iO$di@}q@ǪtvN~@KS<=W̢׊eʟ$T&9G%AO]C'@@_i@O04 c:D}D pLu@ <Ӧh=fך&eb=p@&YO14 iT 0>x c1z枾hi@DD 4h_bO]y]<I@O? 䯪}[D'O*T 5D_&z"_\QDM>O4֨hhL&:^ihi@)(D>HLO30p(t%21)@DO^hi0 =yz@~yO\.=.HD?k 0Z 'M}qT>OT 'hhi@4 tLP14׬1LP:z0גR@D z&#Z}?\P=y0_iAOgZ}21(hz^'a4 0M:iN @Ny.<=Q5M>TA@̫C!Ao\S@D_y@SDT^LP^@^&=}}9O# R2=~e U<:}\Z}3Uzi\9u@1@L41D: t: |5ꞨJ}A@`O08'PMui5ꁦD_zT>h4|׭=z:uL}zz=|W\}=z.i9}3L g2L g2ךS/Y &T@S$^L}@uyzQ:h RtVrI*=z䀈 T QO]>HD@D@N~S-=|L'=P)u׬L&h}dLr@>j&Z}HL2q r1.==}|:'D"5ꀈ T oSJ 'T5_ "z4|>h <}<}=zzJd2ג*PLC* p@8hb4悩L?_ty_^b~<}P:h ג_^O^@D@D_2ҟD_ .ȅkJzP@=QR4>Hiy_ :%2Lz}z=pS%}qT늡/\2CW?^PJd|P y/^O^H|QoD@^h@Oz EM(4^%>ʇO bD>H גjj kA=z'_4h|ԧ]\}z%0^d?\UP F^*&)\PR|^ S$@)WQ. ג |1zk  r!Z)^'z "ǚzO^j*zU䨞J'_%}zzL=zL}z>q@׮)d=z pQL}z=z zO4ׯ|4֊ +"ג|>i4 " z JӕJ )%C׮h@rc=^PDAQ=Q@ת"^O^H ׯz@O_DO_D =ziH/\EE 1늁\S^c׮(=z=z '_4?^D }z j jzjN+UEAzz@MUTMTh|ׯY zO^h \P }|גHp0pD䁏\W t=z_4D^I׬=z zjDiutJ4뚠@DWT@EEEE=z^D^i׬=z "_4@L4 f Q1z@䞽|=z_$hD>" R'⠈"  **"^D@O^d%e-K*#b{i{t8]~Z۶LPĴ%ȌlF5 h<öd߱tf>ѦȼN?mMg~6{HqK YB]ecLpb8=ҥȍjcN7NukZ|hiƗ!>Xlyis/& FѾI C |,[;BkӸC]^#ij:u' ތ]FZP5llFVdF]Ȃ0䂾޲!tgRl$5 n^̻Y*bη0kY1~][ۺ 7D;xU`rYyʄ}1Pėn 8N m5gL֔0Hp&Pin"$Xfіރ ĉ Z$ PPvNjfZ LDxkInVh!`ZRĉWuTP[ehFNe6KEۻŴZj2C-!D78ZSt.R>XR 8+qz^evp24&D4EA O^fz=z " "ꇫD CjPB* " "z=z^O^fIiؓ1?4(#gMZ:8eqݱd8"C&m0 sNK~&Bbf{ hpڱpP_B 4" bhMc3c4}*kqzaOC{c5\Ynޣ{Լ*(W>gLxt×4x>¦QCԩW\7- R"2Xu1rg:`>n#C13+b~calهS,xC-M{zblѱf0݌ =xCQ}j q`l4+S񎘋,g:7\NJ6F?X;1iL 80w!1u̔3r[s"AkFvqsr%XGТAh^ =-K4 8\^ .cHiiޠ"ngY#L>fZZd70ڋuq*a]#Vyůs1lWPVF4&tY95hYL~!OSAJbe 38Z$h'>G $] rz%"FB? =ns}N+, [2ҍ-l=+W:_P.]R#/gB B1w*0sgɋ>̔k-Cv@4\CTHz=z z4@D@D@QQQU>Ң z@D@D@D=/k}=;¿ćh:<+1 D|?t8EƨF(1[Qt oq3^,Ӌno6NKI}pY *fjNIYhnt[J]l}l9~~nWAdBpRrNӞ9=)خR_~JѸ^ ٫R$sIL9УF{ZDIPQ\Nɔv[iX9 g&-DtH46C{)ZY3־6۰14VzX4TpNԞvbKd'6v؃h'Ņ/X{JvV7cXR4[)VNd)N(S-\',;ra,IIDlFSZV=nXaSdii8IYh z}:vnϜ q#28+}W,FȉlY6%> endobj 153 0 obj << /Type /XObject /Subtype /Image /Width 1772 /Height 218 /BitsPerComponent 8 /ColorSpace /DeviceGray /Filter /DCTDecode /Length 118411 >> stream JFIFHHkExifMM*bj(1r2iHHAdobe Photoshop 7.02007:07:03 10:28:54(&=HHJFIFHH Adobe_CMAdobed            "?   3!1AQa"q2B#$Rb34rC%Scs5&DTdE£t6UeuF'Vfv7GWgw5!1AQaq"2B#R3$brCScs4%&5DTdEU6teuFVfv'7GWgw ?:^3zN>Pƺkj6Q]8n={h_?HIiVnQεŗ\;"m-)rK6eufR@sYu{Ll?҉)]=s[gD`6lY6_i'mjsYX5vѱ'K@2zmeZ^Je:u՞ b[C۷Ԕtw=*=K}GD }mEo7L&~)k1 W3ݳJc>l,P ֚)O`pK6դn^Jumsk>澯ރI5 :6V }-ILNcKo kvv}+\>}®Ά7Y>z+Ҳ9pV>:;u]v8YFߣ?$qnqخvm i1fgSf̾[LaoӸkAn$޷MzА$d0H;ILGO}K2k@n}I[V!q۷;Ʃ6D+k۹&]kYqcɶnol$;#U6z/EX1N#,eᏦ?(SӪfkuՖ  ;X,,)Photoshop 3.08BIM%8BIMHH8BIM&?8BIM 8BIM8BIM 8BIM 8BIM' 8BIM5-8BIM8BIM8BIM8BIM@@8BIM8BIMQe-offprint_boxnullboundsObjcRct1Top longLeftlongBtomlongRghtlongslicesVlLsObjcslicesliceIDlonggroupIDlongoriginenum ESliceOrigin autoGeneratedTypeenum ESliceTypeImg boundsObjcRct1Top longLeftlongBtomlongRghtlongurlTEXTnullTEXTMsgeTEXTaltTagTEXTcellTextIsHTMLboolcellTextTEXT horzAlignenumESliceHorzAligndefault vertAlignenumESliceVertAligndefault bgColorTypeenumESliceBGColorTypeNone topOutsetlong leftOutsetlong bottomOutsetlong rightOutsetlong8BIM8BIM8BIM Y=JFIFHH Adobe_CMAdobed            "?   3!1AQa"q2B#$Rb34rC%Scs5&DTdE£t6UeuF'Vfv7GWgw5!1AQaq"2B#R3$brCScs4%&5DTdEU6teuFVfv'7GWgw ?:^3zN>Pƺkj6Q]8n={h_?HIiVnQεŗ\;"m-)rK6eufR@sYu{Ll?҉)]=s[gD`6lY6_i'mjsYX5vѱ'K@2zmeZ^Je:u՞ b[C۷Ԕtw=*=K}GD }mEo7L&~)k1 W3ݳJc>l,P ֚)O`pK6դn^Jumsk>澯ރI5 :6V }-ILNcKo kvv}+\>}®Ά7Y>z+Ҳ9pV>:;u]v8YFߣ?$qnqخvm i1fgSf̾[LaoӸkAn$޷MzА$d0H;ILGO}K2k@n}I[V!q۷;Ʃ6D+k۹&]kYqcɶnol$;#U6z/EX1N#,eᏦ?(SӪfkuՖ  ;X,,)8BIM!UAdobe PhotoshopAdobe Photoshop 7.08BIMhFFDPFIFSDCTDecode6L>C:\Documents and Settings\fuchtr\Local Settings\Temp\Acr5D.pdfdf87C~[#3=3=&<0%3=O&00%++3=,+9+3=B'*@TH8BIMHhttp://ns.adobe.com/xap/1.0/ adobe:docid:photoshop:44e1fbae-293f-11dc-b4c8-80e61d4846dd AdobedC     u!"1A2# QBa$3Rqb%C&4r 5'S6DTsEF7Gc(UVWdte)8fu*9:HIJXYZghijvwxyz?R)`yynGk(u1#O״;kjQ ǒF.Jz~W1?7J|i_+0;1]>EX9#oj&Y= ,?4Ή-3RkJ|s1ԑmGjhm$[({}?\(Of9\9SE+_~߅Ewt}}?`[qEO~vSC[ԟ~.?|ӋP|~G=wan}4"shx?ݼQ~}(O{P'~/['>4WߍE }}8P{(>OsQBt_a9Q^r/{(vj(o|ϧ}jhO7|MMQ߾}'}?Ͽ}J?7߾KQo?П}m}}4_xP^o_~ _}} (m|}46$T?{︢r?62t^߾;?w߾;`qcQDG?,}h>尿9?d︡`_/~O﹡:_~/oq?} /G;qǖcߍEw%6\?ߺ?}}(o[߾?AoSCQE^*(sqEA}(~~G>?Qܲq?(3t~>CϿ?(6G'~ʼI=($8߾/}4?}r8d<Ђ?>>?ߍEs?Y{(Zs4\9`^_nB߿Y_ﯸB{ c(G_ZqD/P?sE@CϾEw?A>尿̭ߏq((ϾL珧?߲3ܱܱ︡`>/>ǧ>=(>54Ŵ}︢ӛ~*(?(m9߱緡(ӟX'<~8>*(5/߾شʰ(?㸹<sB9?ps} SCɷݵ~︢4'q¢;}x_qC<}va_A?=4'?:~~d}wk{Pϓ߾pO(n?q_QEͧ$O }('}(y׋ۃsEc~qC~.P߾;Ak}/QC?}(~?}P7Ƣ#_ߍEw}(㹹'b$yI߅Ep _︡?>߾̿O~X߾⋃m aП_}Gds(??_qCQqN~~??(n-7I߿}؟?}}h`mts>4&͵ߍwѳ~4`4"nK߲u?﹢>OQA?܎y߾拏?߾⋏<y'́﹡_'~{}h|>_߾[?'qE{SD~-y_qEc߾;-'߾}'_'?msE.>ǿ} qjhy#~}*(S9Џy'?~4_y?qEo?ÛsE͇_߾`%A}|~}V'懃9︢yCcſevKh 'VM0sqq,}K?毖bne0>Ly]&?wџ*:Ӹv T[N֠WMIF`Kj?r@(Z.-~_G;skկ9%NZQm^[0޹*_82h^4 ԅN*z6岷:؟=^}&% pOАG?vM׿5nW<1cH?b1**?ۏO<f?߿1W5tGx1ME~<}G E /1@>~;~wj7G1UΟ y]y =<@XOyqx?oſf߿"w/OcWZ_ب_O{1/{?*OOǿbcSa= wCS~O~<QϾ1o6Gx1?jG}ŀsox1<@~;8>~;ԑ6ǘ稷V{#W><}#W?~Okx?6f{m5&}?oI{#QEEcQ?詿 ǘ \*~וcWGE߿1G~H?OW^*Z yP><9>㾱￯1ǯw&?GB y>~}#Mn ߏ=7T?'1(}Xj>ǿb#_x?EM}o Hǘ1߈jE{GH?A~~;}F6~Oݽ͇01+ _}7Sx߿1`ԟx}/5bt1/7߿fQ_x?K_H7}~zٿ~?ommnbk~;\GM>?/{بc_Ǟ/G}#PcWo[kmcUԚ} y7?ӈ*>Ծ<\QcWSO_Pox8[٨{1&TOKj-ob;1Q 1V6ܛj#M?E@`{Gjy} y* w[_x~;}?驷O=?'Qǿw?MmS?_cW??&9< yy1$^q[} yO^> y' AXr<~7TcWsM??>;rӊ6{=x*/{GO*~WGcW6QǘuEM_}b}?OƟ y3Q_x7T_[߿b? x=*/?=}ơ}+~xoQ_}b~0NG#gy#m Gc_Ǜ`aoM=" M1_Z_c_O?_}bTX?{~1+{o0Tkm1+{}yR*G41+{ǘmE~=H*OcQ7qo٨O<HjIycU7+jt1(}7~K}yӛ*?~;~{*O1ޛ~C⍿m5} yST~?{#U߿1DH*/߇;[?oSo>?=$}/#U>gǘX b5>O[~;_ߏ;5Ǹ5ô1'h*,9?y><~Ox I}+#oa1_ޞ>Rn?QObT>}xoOğO~=l/cW6?bq$cIGveWՐP3vbտe5? y$p{/l܇nLSQ},nM@j [/㎃Eb$; R5mM:ast ״+># @PIԃ̀~}Grg6֮߮j(ܛ(ڀOz1/9.KYCƏcQf6M,=J> 613XuU]Fz ,h{)ʶ@Άdk۝e>PD@LRp}G I.y?߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽kqXZ~>ڇ,3,?崥-4.&&>+{'Wɐ-綴1Ɗ< 2oksoς_*q1تsX5S}F?m7o_U^ՄXFQ!Oo֩Ur5xYyL:?,_pn\u7eo/ҍ@*iSS}H??bJJ:*SGGN(P@n,6sBxO7{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{7_K]W_5/7<+?%~;.ٙƟ"K5pE23$"?'po5c7-:6?(dו}+vEBM{lmbh8Xd y)iI?[ܿ~טa6d^G W2%ShjD ǴZ}~K]U?33۟SWyFfsyqY*<~)F4۷{{{{{{cl]ZX<Ax|ej(R-lXr nJ3٬Nzfzvb5VSB& U"߽wHѤ*"($h_:C=>~~~mlC.O;qi6C-]KE WXbAnIs؝;;17 -S7wF#iSeRǀO{N][+`β5N] Ќ\!}~V|fUٌ#K؛TdTJ.@hE_c{{{{{{{{{{{{{{{{{{{{{{{{{{{{{wv]mͷykϵ?kBH?$z_N o =vz5eޕ&,J吠rco~m\+A>W7t/ekiy=e[$iGHS =1׹|f~l̶J)qфtOIK;*l?Ag9vاrgzo9Qj#V}*ͤl M5\oxmm];G\TȐTHr, (~~~~~~~l˷v<5{?Ե}9̭&j_3WVm `M=o{kn ޮZ<&j⤎DꤧGX `YEGO{{{{sy,n]׶Q3L#hy`X˨<P@<{ς[_t%Lgr`7QIV,;.0fj[$ b{}~~~~~~~q1UTT4TUVU5%%%4fjqƊ] $=)K* ]UUU4ToQQQ;b,B$~~~~~~~~~~~~~~~$AB?bw& %E}6csSj[ e1G=.?=76  zo[l7f#Mvٹj2MB8jh>4-5559V7M#h>pFH; s<^;+wFnY``0tsd2)zɢݖ(䑂I{dM(䕾6)XѤaHUQ ,pԻi{*NWg6fr#bZjw 0 x>6V>wowtueo6lޕe)00yPFF61QXZY߽߽߽߽߽߽ _rleػ*<㹰UʵT2@Ryݝ)mCovݻ >r)ޛs1⢧\fr&0ȩ(M,U$Ss὚l~~~[ͫ?h}ЧĽV{1Kym*W(޶Bgpv}ՙ˺2Si QIP͍X$'GH >&Ѻ7pm 9ʝي_0K*U|PdVr] ߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽9neav7/o7 O7~<m>O/:{swսpf0]"m76ы+-C*cdvIb,T2{~u?{)M]/epᲞ3~~~~~~~~~~~~~~J1GVWIU}?{G{{{{{{{UxOK?ⲾHWi?߽߽߽߽޶_'fE>ѯǩ7nc{{{{{{;j0%*,jLPxHOMM~pS7Է/! Z+(rDvwæ"Ί=v;wJ7R_Ӳ.𷭰³ܱô[?ۮ%Sb-U'bmS`Rc=N2) iG+F tm>菿?Bv]bj1I[S%4eV1V+fajh͵-es+-,, {+8)\UyP^7%驝u`ak>So?Ku1+]eNG5jm"xjIdV f2\{8);z;;bal'.>lg5kI }CFM9PJ;c}d:hl8jM܉M3T4Sš ԟgWWɭãGy`6\~!jY%U8o`,7O?w&Zg$E&v7cG Ki*"8PM~7;MZ,>L5~ˊ}M2yLp" et݆aڛ;'dŒck*=׶V8YZWT몗ǮTc@k;w._oc;0U3c6W'[Q9Zs?ҵ:Hhj?U zJQ!s}T1tic-f*_Vݠ4k7.#wnñOSv^&F2yzƵg'u{lawF<;V:߱m}Rj5@iPkwJgs/j*)ul̔+ 56"V9̯lig6;a9:LeEMvtE>V%Pi见Je> d[H_e?S{{se;6&/?~e2[s)C&_#3!"y#cqX et?% $i+M^7uDII*LQлs]MuNOnXdڌ:@rUåW:I>/'Ⱦ}yƤ^9C$8mHӲ"E$G-Kw'SRyeerEޛX "-Z NS[|[w1=x.5C* lt<{ω4:ܫlJ.s nxOGYO%VdGGuVl^Ml틻U %o6/MOWd*h`Izum˿vFܝsӸ=k kݔ\49L 1I.AEvAs/E|>Fz<.[s`j[vSRa1]DGOSo,4 I)rUnzv7_;3lm9<6:-$f0Læqh245\q>e)JZ]n{GuVl^Ml틻U %o6/MOWd*h`Iz;kߧ-ɼ7)+dMnP]r4osb7&Shcڻ/C/fx2a%N4SR ʦ01xM?~ڽyTbvZRUd\F^jTu MQb63? kv_UOQ7M$O\Cd)*)SB,UTHa$l:;({'vOQl؝(4O]9ҋqF !XiVYcYzwgZo .앬nl;{ SKIfx3Vs?-3t=W<vCiW B-f vdjVgYʻBZ9z!6^:=OKfV8VBZIb3r-{:NwmN:]:i#_q=>'+-3Oɪe3iP.MɏlV=`"xnEl}v6*c)=4T?=uXs,Ysά8=Nkd1?ʼn *%lL&Y_`/,v/˾;iQ`2=!n(UQSGP_? WV9c45w̯U}9 '^렡jzs9}ט&I]`"ie>8Lk$&s-3*0}:j!Y]"JI>P;^q}Cu퇚(r9}Cmn:v!f'WWAX.˜ @2Fcٛ+&잼6\'%LTHTVSJT̒AS9Q C:{O2ԔQa{0d 1IvP]H@dHi;a^؛o,snHt=z5^E4 C!Btڊkc:o۶6޲հ3̴ܲԿv,+뾱XQO~;>҃)()ձ==!*ݽ"Ұxܦ]sx6ɝAn|ښ`*'4찿$1%ʰ82}w˵()3=3#밿Ր3Ꭲ296ؿ·7Ͻ۴ͼ)0*̘.1=Ѳ?ճ)<\^gVH9PBH؟3]W?e/udd݋i(U%zaS7 ksr*.6ݩ1*vWǮ[MM6K5-sQ$cp$;Hk~qXbm}x%"d$lIncHae?TvYջ`~%MfQ,шv-sHȚbTN T9 SYH-vӆy ?/LU+;uLAݍV6zzҷ<%8\_ho,'\J|^~mJVIgp٩*jq!X̰axOeI}vr \sEYb}#:: NaI=>\rU:k㌄bhvfI#X"VkG$EPk8:f/0X\^B)Ocyhi0KG FhdeHu4Uzrc8~c]IhrX̖>* :K ѺYH }o:GK;+uAQQ6rcPS`p,G1YA"-D4<Ѯs?- *0=W(<|v?iW%UfvuciU\u&^;Ca^H%+7OY& J.'ǀF a'J&=Y2cs, UdԳ&S xj'GU #)K~|8^Kcm]%ߙMCv.eICQL_꩎5NXX-'Z9o^ 7٦ڔaFvwnM-x9ir5? " ]a@n/plݨ6Unwmz1)V,e/ Z)JNQ;|WDoufřuURM"a:oK \DIG77S|_fu[m۷~-2evժkWI[ WPNȴd+,0xOK?Ⲿh|믌}}u0a:rbXlQf6 Q۸:i^4z $qlrOMOpf%ͫ}{f4enΘ9 \|SCz||s3vGwl_|cK24،gelcqY=NzHd)`ᤀ;~^8?6}OtScp3gő~=5>{t98$ZjXb2O !,UBc6eed1O<̅\}X:nt`>чֲܰ<^ϥmMOՔWYWeƚ;xv+.e f&W XxMSMUO(E_SeF4:l FC:֤66&۹>ՙ94#$8$*|&ܘ;t娱;k3ֱ)̴>۰ڰ<*FX޾ v9܎vŷi'jj}ؔ*i#{5~+jHQ9O#FuI _]CQ]1&XS*VkcÁ$|g>|[r]Sv45qU1H 1Ƒ.CԤ1nU'#$FCHPYUPK1 $tSPmϗ?6zT**nݦkIG0& jw[ Bi?ʜ6n*Մ y5W T)C,VcVL:VZz[cc{k__|WcvVo -9G5\JUS "d;E|Ç[cym}7=.\tsQKQAI"t2c>{%v<ԡG2GzU'RT *,Z{g*6ݻj*g)TbqR "0KblAfwS5AY G$uuiNbE׺VvoS,9퍜j.²eY&\m4zfMM2r0r9 *04oUU4rk!Xfo?~MrdmZV%r5¶%$Ңh gܻۧs'GgY._:Ty*u>9cutah|fCklݻOݻtl}VBJ iZwzUi*"d<|2!uY KPy/JYz +AKI.X,oQv ܓ_ϰi?{J zה\&A,#.)Y[KXb٬4 pQ9mndFb?űusF!Xbi-vחagq5̬u票zU'RT *,Z~|vH/ͷsTMj ޫ&f)S]۴Gn i/6:ӵWq QYxPwMٝw2=]x㾶ծx}-*j)<7O*$R#{{o.elᛴj|)3mmMPGs}ޖY:rKM6j9_,x躯nі^;fVUӢd*f0A_9П2<7.h}qd*K/QYqtU>:y~;x~=벳˵w.> 9TP(jH߂2Kn1O[[j.n{s-x JgULu9pBmnnTn;wh}ESd݀gܻpn\E%6zd R,…F,ѣMU=o,ɱ. $\k%

۟&BNݝ8 &kr{u70&nf).𪾨Mynsvb 6 (iSbtvT*al;>)s6NI=BPnrvT)1O4ge"I)=@FT W2*2uVuev]m, 6 !G0c>B. |d'FNܛ~>jr8ʆ6NkN4ΰST*Na?tmN~󀩨n]˙a̽+) h54B&A"EZp9/VCuT&c.9𴴹 վ57qczW]ۓd%{$vg|}lqKES$1GRӲB3_hz}O5oڟ65?o{r ?OO{#oooǽ=߽\8?# $;rjl8,UتM_YQrغ:QKc:HMOWK GFUiM a$KSdh|a)sxܿnnRtkEk~OˏS_TQ%UL mO?=rh>T5Vk9J! n\v=KO%efM3>s7c޸^7|uMVɍ{nM#j~P͟i0(ÎqUV{Eb?oͷѶ6vgsmxy[nő8-]#,+M? v}뿍:iq *zׅ62Ee~Iƥכ;{xVZ]ֻg%Eϊ*Ta,+QUt7 =ǹٜ{tK-%7;l&Q %0R-5MҵtPRn9zEJ#[ ( %Oo0fmގ#|6nV+D?H#?z2=߲u{=T]cʳ4)ٲIK F^L\n%[\z?ӢL|OY<ݙ7]>6/n؛Y7E~n0PQ&GxT"6>?G\`1W`-N.}WD).J?fdMh&gvlmߐ7vM v{hmX趺Kt %3QUSҢ#KNn&yGĽV;ۤ{cino7vqis-D(qyjH)Ku>JO^RTƳSUfTK,mo) î"kmCvݘkisj멡= tqX]kПz3ʍ@+f6W%֛;YYhUI;‹:S!,!g˧luOywك77`cq}yۛ^`0&B 5~H)cEJ+ 6Gݻۤ6U[vv7;ZMi_UkvcOL$GSH7 Nܿ{c؞Ms1=ŵdn-Vҙu$90Yo˕GYa(*$UE[*ij"$ѕ}j>P_)zsoaOoLjd Vt=nE*a4rA@m+ho=Y/rE.\@TEAMd<<ɤk';#oUQUYQ %4Z<a\(. {/!טm]ջnG؝ב^]_qPhU>qa#k=l% -\'WX4 KCLCbAF$HGh9YU]wz,7jVR&wiWhGQı6\e|mNG)X%$?aB2Ã]/ν]~ϸ.#c]35WHnG4%Dy"$BHkVCԻ ~ǣlDty!5*簔)r&P%Ϣcz;2SIYY{U0Y[G0ԓRY!{|j~.xa};Snd1%:ufn}3[!oO*}>tvK;'}Tes`𛦍sozjVx MBD'WZOHЂ8}ay^.xv6'nMAI_Pa(!xJEOr^Y9YOݶcoUF$mY:PPEnYS'P, : :o/V썝׿??/uM}>Dw~!H8?yEtwbVK;Gfo}lK;AMQEdtnt oj(Gޔݻ[{xF}ܝ+iLi e@m60R}1ƀ/n??~9]wWl=.jFW9|Q͞sIBfAGO*<7}ww=;඾7C4e]p* ։+wW Hug~~=Xǜx& o49i֤t_phK݌^c^Q|ަgcRP6ޫ4- 18gQwJd%$>t-.0v zn=3O9ڛsk6]^&DUSVƯE,hQaS[{tʠnٸcKI76n i⩞$hi&#url~ԉb8&1GL ŷj:S".2FmQeWQf;'/Ul4q>YٽoJ:WeQVHH*Nv rN<?z^'{oYLA'd7]tm^*9`?!P.}ѳ)z㸻c(ދa^ٔ$ik;I1<{a%K bm>5 ݯS%QR ъ85ܺW6Gv+g{c Go`i679SUtbzsF( io;Z3,pXrla7ݓ,?,_˺ql~bIL{2™i(Jjʉ`զWH<-$okFC'|͡՛ eom0NsT8"0@*)\ +*Lɠ'ZNʞힵJC7`oN@#{1:"Q Hh-JHqbZkr}y9|A%o6d~yD3ckDH_a>;(Lho ͵2OOHcK7Q{|pf~5.toWn T 5vTM4ٙsLŜNTO4rWc)b ţxh.vbvI~l:aW;voMչE8|= a)q+4TʈcDi|k|Iؿ;#do^&=GjQNؖ%Hڨٲ,vc/1W]RxDP)אA+aoտ[tw}eۚ?Ņj-OGGA᭨yLK G"Z/7U>Х  ۓT `83 &` Z]G"#LLz Iҕ MS{޺_[˃??e=gߑOwOA|dͽ=3}5[yo*k#ۘ9,[ik崫ݔbj*1K} TJ})uI1Zƒ2F˧fCGmv[n.Z)ؼ&BMJrEvFjZ&Y<Qd]ߊ`gH&6L~33vnn)D9<6-J#"L&Vem>?ɴ/zұգ`39ݩُ0՛'t7e)CzFϴݳx!OܓBaҽR{.;3%ٳҳ_z_:/y 'S-*y֞H ɮGo?e|jͧfi ?onMYO4x먪",|-$aF;%'Zf7L8Ceyr*9ᭃ+D,"(]7޿(;q/ce1Fljh6 A>69EvtO?zi gI>*t д&f7>XS‚ƳKc'Ⱥ/Wm8jO&oPh6U58:pPp.[$e5v>"w2Sb;+5fvhS'=2:V1$FPTM*z_|rÇ[T3cV|૭٘|&[{q%>R](('\#WPҼRI"zGoV^C7(8f{p2UyL5FJu]8*Jv51U+G_\ ,F*~}Ѻ14pJ_LUT4czTptNx;1ٸی6b\`r+%49 J553GD 3_8[]IY{`s2`8\v?dw6l4yn\7U4:pu _ۛ6$psX=ͳ;qi>/Gc*3TĘLUiKZ YOE,W_LQL:aO|ڽyv?-uRQI#M$.$RH񲺩T~Sjz(vE0͇LV4+z8V*̵bX`t]F޻.IMwyF;3bZgX(,aBHO}]>?f4-ӽeJg7rur1wi%bG&W߿ ~%LQo,ۛcd)*,vs2MMF%j#QS1pz?7gmΉzl(Xݙ}ӞWI*Y(J)i 8aeM7,[YϜԽOGzYaaPgq:_F=C! DGqU~SQԹhpq4 ]GI2Qg]rBles{\H?kU?7nۏ ԘWQeh)uUޏ)Ώ%ckBKm8.ܛbgvVm<+=pTw-D=U,hܰ **jKͱٽuq69#$uO_JRǛ{쩺w;s)_#vaxHS$\S7hBT-k%6ܽOfCvv`3y$3ISL\dj\ }1-&ɠx;A&orosVV29yΙ)H/ k?G Tb;Est^l^3MBb$fx2T,/@-1?$*|;NmμKOuDuiCfᲹzX>r%5]HXO?o08⯚Jʌf#)YSI4U1`iKoz#o='fE>ѯǩ7ncvʮ}NlÅݔ^^N? u3M>`L5zkk:&0ďzOlBw Mfrۓ ~p"f7 }ʙyj rG:/~ٴ{/m*L_xl7t5^w7iB]a(08*37ly_>E&?vfmHx,;A[#)DYe0lazd _QoN¡Fr~ WHczڪH9CeD#0M^wnnMt#Y}_ؙL?˗"d:CZ>|؍ 5~{s;hV2]ڭQUQQ*ҲDp* ONRu5~_KcU ^VTP㿉=4 jHcGϮr賖_ p2#;?df, \, @M{7Fu_6>o8(g2SckqR&bY k~>~f#.oI=  7-^;c.U dl\ xOcQN30 4Hnǖ>џ|>=Ǻأ1۷6̩*6ܳ#?ᬫx(&4εݿ%;h.ܾO4͑.J*HՍ@ןoVۻڣ,Q>jbDE5v4۟DzԭuϒłK7>64|ӲѳҰ±-I$^3;1ߟuԳ<5S'5|F9]LU%+R rS=?[v?noԒ`l \3n$R{}j'&I&SHãȍe51 m`sSg`v97aAfTPAZմ*etI䤯?udtFmi|q dioTT~7R_;G9﬿x0cdcUdiq'1JaT+:"-?u'ct6O9CCܢ|VGM"V%4jZY:x]~<(N}J;rl$_xZi3Yfhi](X ~)Ө;Z-6mJtXt^3)Vsk0^ 3 O7[38j?_c_~I T[n6{#_oZO{{{pFH; s®:l٘Rf)1sI,uhȚؔpH<di_m ~J/mYU#xS3zWѬ8d]-u#8ccH8U#4])h@S_w e1- U5v4͓*ҳ9H:vP3U2X˙844!#uj_Wcxb))}&Z 1=Z ,$m [iU&rNò5$9ƑF8FH+i7-f${匯oKUXS;|EjB@꒤z [έ@Omz\KRf^JE1FI\iWO : >]mܔ0O{W u.vo<ȹR)K>F|>gۚ:X+Kãwm[8diiiiiiE zjxPA i``M'vk}GbBbޟgOՑw>AK+A' ~&\j,T2y"xM%kp{ _x${Zh#夎V/fnNi穭PiXՋ_}}5mIYSwMJPoNȔm+G~W'mH?z||]rxN0&fx:3S2*gP vA !{ѝ힯7NUަp*ᩝ. 4؆c`<wen]6!ǠndU͍}M,΂bA$2-y1aָ( RcPUԸ22#SHߘ2`ApAdq? w}5lNcy; e\.mΕo7Ľ}_*3rމ;G>vQ{އ퍮rb2w%^5 YMWs0W'ȭ(?t|Vw/̦g鎴cS5ϣh%tRB -ɗg 2#5hd4) TBp>{e~c LO3$ֵ@^DkPǽ3zֆ,cl l"AVgʱU`F0 ~/~`ȏ';ٿW{+@n5`[v`e At#?:}Om2!mU3mv7/z-u켕,Z޺KKy@$F?eYA!Ao/|<{!gjɔYVBo7{?H~^eY"rFI1uROƑUH);Ly`$ ?>2crAD瓌7agG) 6$o?kvw$-%O;-TUα &S'eOFB_ͯ;k⽚O?ԝ_.q6fuT}}GͧE5 Lv?[}}oz~uWduFm'sFpsy6 Q]jHCԘ 3wmc-5jD?S~tH]Uу# JrGtu7O. O6_Ej*0S%QArUs$\5-#ێ^1[S**?{on9'DPSXj{ckܘbW FB~wVSU+r_)d8c#DXG(8Ezycx@re{nDa0LaHqx+2 "JB17le~e6T21?~3$ֵ{}a'?Q[?)78z/,?~I7{%#ɐ(&#$4f.ޔͶX>Yҋ[s>3w525ʮȬ%+;ٰ1ϳ$^ɇĝѯٲ7c1m_Ckf? Q~Hg>D%?<,U bX ޷ =#E_ A]e뫧Fcp_?4[O>A%-wLuY=GM4 HeW@ )b`vFꝻ&ك{f*t]?nJqOEN3zCHK,HPH`]}W?{7F%fߛ_pdi]HpDCʭ(#ܬoC{7 ݖcٔh_?ǚ7It]>'wMǺ C`ĐB<h.q[+|A{WCS߭uUOEY IWHWidL?mz-o.Çp {~D?!*ޏkCO6v omC3UeXA#DRTABx-^M:J hֲjO5 :~X=ISno,o{;{7nl&ԩ͝9*|&i1HV $O4ΏzFv_9OJuEDM2x᫢ԦJzw`ecxMdv7n[mwPmͱefyI=6 **f?E, $$a#UWx&d'=UTGMKye(8ZĨ#_<'Y_dk$U+ߏDPğ%O1Yt3Nߝ뤷[i2[nӫlVXTZ6j9eI>ƞXu@U5?ɏ\/fwRR*NouvC^-.-*4-+rpnPځGO,nq]Wc =Mfj &!P"4[ɋ %z<qFZWsXj;Ak PO\wW_*3rމ;G>vQ{ AQe=Au$R7EVNC#K-EҶO<1@NpEx}~I$c+]$/QM JYH]d$U+ߏxt7^SUZeU?  Rm(p/kavOfncn>JZ|*DU9 6_:?ۻ~_/eӿg??#-'~5`{bUgjCÆavUSk_W6Y?-GT'u~-d2P;;mOE;Y/m gK7vt&)#lVWF|]L֑6gď:">F{O^}_b,3>G$C*gG29qFOV(I%MMd8휅IaOC֛q .֪R>Jz)8_Er1AYOIU2y: O {շf C! OmbUj3?苳#oOwHV;3_s8 幱[p~*2Ei*Tm߆-vn jglnl.c֙ Օ؉5+H 0GMaww;ruRuV7mmݡYQwAyc-dSF !,R']KݽVŞ!QA+JkIKJc*K*FɤgN}^nqzF>,B *c ݖڇT52^eџ{Z{A7LmuwmSIwuK'c c.>檟  G8} E9\_]nn12/f#pt~:^fAwM_#2^cf Nl"!oX__WiQ4]<_-\a/[釬 z_|rÇ[#`?ҷy׻t l/pe/eWY>ٟS{}ޕ?G$_Ғ9~ E"Hc-+h[ՕA{]d4 `#{J  /)_.{rt}[ڻ!Hd iVc],ʒ..4lg^}U]]ͶgoJ,>N 2Ţx&re5`.܈ 쯍y;7;gPӸLWlgc,$o[{0? vv%9S(w_er\DC)i,<_hQ&dXY^g|X*hiGbdj)WY :yá">>}N#d9nQ5e|_!;XP v) !{ѝ횯7|ȯ9ԵRQQ&i<{ς%;|iGXj˶r;iN!SEGݕH*sQyvk_M{{{; ji_+ßsocO ? Gy=Cӿxy ~uq3v@ø{߽K9$,o&-<ǺOY_Gpb~mwTfRS{`ײ>>y1s1ӧᚧ@y8ډ> |쏇['6[:3QgPUSWS}/tJȲC*lQFޙ G=ükgYCk卉0}ıF+I#MQ򣷡[Fvo똭n,A疞2s7YT,Z:4tSmԛa\>۴xݪ8֮f85ܻ]y9SD^Ç (W'qmEm\=Mw[vt-E:Q֌ +Z*\5-F)E==Me4qWtU&2ٷw,Tuɗvnl~)ݹLU)P- Iڥ-.>'e Q..nmϽsfgBޟTF/}ԿSџk#(;'{7{."4r*:::GFYY[K/Şܛf\eBudwWgV9uFxVFY-lF DS79\[u 2hhMw>;)ZLu>!(#P )x<吁~drpl1x22,BT'hgG 1%I/+A|`;7&|>W>H2X¬bU+=D^#{I%r_Nڸzj7UU ,[C~tE6WƵpTjZx0{|XuvڃIX>|ISfzz)'yj>h+,PLeonY~/XHfS/sS([XxyR@7v7ܟ&sz[9}?7WtQLsʥj'oD1H#Ӭ"0/#k:z"c/{{ѫ_ɯX>ߏ/$/v7J'fE>ѯǩ7nc{dC?iOίG~gwăISOȏ(ٿ{O_WΘqߌ}&7S):0[w#Xj$*qK5UbBQ6Gmָ b]X<#ܴ8&>mÉU ZĈ0J'peFIRIU2~֧Q{^&nm̌bfoa}I1Gjda$!#+)[G 9{kdD)s,|ڵwfu/?:}Om2!m{KXuGyenLTdiaw,#)" Dt!c%B%UӷmM{c 5lFLFP*{VљJufH $A%~am핆 g-+UEK ӥ=$*idI>%&Os(wf&z .#:A$2f99˹*FF)$Ԡ@VT=o}#of=#[lM[IPve쭻SɔcFR6wo58T%TMUX|p M&+qwOsm]նqfcbpp9xjzVEucH_?Oc/=kfp=W֋6b$9Y== "g~egB+ǹ(p/r8ʹbxxM=u.oPx5dL?mz-o.Çp {~D?!*ޑ}G3[!l)Ssn*ʉ5G2nݸ^Z\{3"GUD8H@ [Нؿ𸷥6'VP.K#vڹ%b9t1A}W>=6:E-,%bp^!kFKkZ^]+76 9:jgjqUMIIAEULª@ 5͙ѻ?Aon:oٍ]OjᎣ/N!Ƣ-~꟟(:våYzv-0|*l.A *53A3R42#mxI~!ʵm&O̧lsqE`$}[rH<{;_ [*L=GhW+ L *rRGҥ=^!ZfK!AoY^]KRwmUϹiX^bMUZ1GtS?Ů2P#5]_6Q/ZJ(Ikc ؇]g_Λmm |g7Syl.Z( 3qWcM%[z@Ҭq!;;Ϻ;zm[ױ:Wgbbz Z*5]mTn"ZOM%7f#F޻n<6'u+l1Aם 7gc",E"$+zqu_{=}W 93P1QQOBTف~77΋=jCgᶓm%[bXb8)Ҟj ꢫr\ks|- 퍵e.r[,4Hn:O8 <:wI)Ly qtS=?wOGsz6ouŌ{h⦯V+jBMc[cZ_6ISU=OWv?쬮^ULas;5~D@w&.ֻ>2to(펺]I{7]%Een\*Q:cnE"Hv#39;k;G(qy=:i $euE NO]׺G ω\?*)qt4,^7n)q 6AjJ/5RVwȂU_{ % CýKmMUJjcWQ,4Yoc''fE>ѯǩ7ncvʮ}NlÅݔ^{; ؛'xlMc;1 #b.\MwqQ b9~No=ǚ;:.kyE 5_mjO-OP#JQh 4R"WS;ƠRv?5fKb5ord KOMVP(JOuS/h|oM[:cd6#bvGsSUgceq$l* qSFBƌ$U+ߏ|`FbM]+Y3d3{/1Ko lA! (Q'?̝㱲[M׳7u'~m8rtd4JPӘL:΋%Ni9\{!8ҊGQQ!V_k;i/~wVոٙLn|v+fcRjcM&cC݁v!Eߢ!z9) VS \y%8d:zPHI,N?snJ::M+h|^2楨Xy!n+\o٫WˋVckF͚DUUQV >7IV1&cO;_ ٘ Nǯcv{Gm14S>T婆)jgviֺO[8zuq/X+# j0 ѱwElac\io)Z%J@P$'T n/ߛ)}nٯ{1jA nܨĭ{$)[[ 4!ġcOScfd>=|_O&y x Y_%U7*RDEFG>vQ{?{ /`ٱ7o=ٸyqYl╴56?zCwKv/ŮuꎳvZ,t=%6wYۛnLSDdmP̯ fD[O.7dcS7EK6{ij;Fxr[`̹@Se*DUI()K=O_pOpm3W?mɾ8s_K2l)>P_9Y `ve6}m OϪʉaR' ,s/EKwwo휎jfx*=KepteRx꣬$|f!;?:~ooO5t{5&BXr59WK5Ri1JU)TW˃o᫽GKfwlN ~ޤm͸NʼsǺٿ,mDZ=?6ߟ#ȵL>ܬљ1Ţ#zoԝ;#ԴǍձ(^ᣗ(α,<(WRǤ1f M}߱6Qmݕ fKI{η5i$bF$};|>ˮvIMA VW)x"YؐQo_{@v/xus<~m( ?mo?]5?_ ↠O?S5F^_׽=߽3= #2)UrkMn&Vf >7-#۳&'͡ۆ%+24)=6ƢH<5 =~`]qcbC=MPg8YpjV%T˩-ɱ{zqXKiqY<ӱ13ɷ{r(#5:٭SŹ_vVҲ=賦28,?1oeܳҴ4ձ"S/䲵013_*&娐'aک~+7&<;uei3ufJTYJ/ب}+HE V{)WhepW$NRk*%$m5v)]s#m%8u["u͜،}J,5c1+Tޛ*aac7Ψ鮯ݫꍗ[rIGFB"5SIU[RT*UMY)qf%߯r|EV޶bت݉]ٻ_m "Mj`0o`yEr97?`K mQk1W+W.7>խմOϵϳҙ8򰿜ܕ9v9:(u8~۱w֮uLڝF,6c93ޮ?S[o6ɳ11Uճ+-ܿg!{ QVՊxF ~o%t:-ُ:,6Vgw9>m D&U2GHyܠu;./G8-QHO=pH4ZIs}>(}? w??s'[Wo5:}W[bnVYᮨ{36J"0Z3槌"uw{3fbwf#a&o(cV0.oI>+kAynɻxm&gu.޺y̌JC,UX~=y~iQ[o Uu WWlaҪ2H 0v7'헴:i~ٸM$Y2}dq1dqu2T"I"GWI4s f 1^{/oPM#cLTOIVs=\ȱ$mk?sx^M ^3):,&2%eRPxwdp_O~F|Oc3;{65{ N(h FZ~k??rmVV1\n|ԯ[EHhh%Tُ͊ù޻-7~ v3, >Kh+(գu ^`^M?vR|vgZ+a6AΩvP'<\.a~$ &kpžVQ|d=IzomuTs7jzڊ鸩nzS#S(pC(*K\1Ow쭋KXٳs٬-wh ti牤Hٽ}{ NݟÊ^ஈ3%-aPWu=Obbw>UUi[³#BcfLj(,Q lm7ܛC6Ix ˥<ƞtuG1J\ v`ݻ n~G(m],K[JV&̢DR~veȏ>M>s6So7(~!&J4q6FvR24UM5EvWvcVq-xp͐L$_Nb,O~,to\=V+vE'Q7\^xBuƙLAc)b1ӣna}_~1ϸw|>m\1˖hUUEIUU >2/<ھϷѮy>G#?ƌ[T= o [zdrnjh ƳTT,X<P̖̎Pr]]_[R}/ ܲTYhϏ4 dZ:*GtZI+2 aO+kS$ؘs[/VↂL%Ws=Ln=BC,?} n~vNxgd[bq8' E$аWEq݅+$7ʪ*M9`\6U83#Jh#劢[M[Ot_l-]&.Q訪l S`Qdzq5mJOE]C[UTuuQ*i* E"3$e$AX=$v6V7}O]W!j.GwkܔyЏ ļi@.--'ة /4UԠbHmE+@,Iͣۘvj|0`pTěR*gvi$r ;;f$#>1u_]Imܘf.LcŇxAqo)hckVs{3H\Z5P̊C>>/p{9_u*{tnMߛo3;?ܙwddW,d"erm͕JgbjgUNA?_j~P>K|Jlem~\}ٵltŢ Zȣ$Vţ[\m?o#Wmj(%pW-,96ƕ5\ nASw~3vlAW˕e6Ec푋;KWY5o3I1i%;9f._>t\u (h3?=F6E QtPxIdR1|M*s{o?T#1ux|C`F$@7|Jt[tY:mU r|>(M3Ϋje׏0[ dFg1y =z!V=R(X}ֵoSa7/ ,.Fv{?'04>ٴٹO{i1;o'=GiV&>)fSZH\_{LKzw& D۵G @C'Pсn9:N sBOw'2)qRa0K?vi)U$bgo.\vY[ej#arjBGK2(Y b$ ?{{Y{7[S/fVZ &ڨU)#ŽD 4Ť\NˍYߝǹ) t/x:TUb>Gp'vy=)ս i?RF۰ScYk2umZZ꒪j*`/d)+VaZ8;fVŀ8PVI E-rDF+8b/m3s,;wq8]#kVL.ҕ ro-_v!XMb1ӼqcM[}7|Jt[tY:mU r|>(M3Ϋje׏vGloݳٻ[qPˍc4sXS'X+fGUteuVG?żrltTҾgSHbw2 \Tͅgƺ }ugpf89qpt3PD>2*/?#:!ф⦆'ӴʰѢ~<ȭ F\MdƢ9@`s犮JV)KVdFuI?k2SNPukenI`bROYatL$^}]?~8(N9 ս,ؙ(w&o2 -N& Lm$㒵T 2܅=dg5&8ʶTn{ qv1Q)'ǔyhtąEݔ{{M|Ƿ{`77jj<IФw5᭤-qBVZ! ;oQEEQ]37n=[_=VYMqy*mːOV/IMGRc r/7>7]=ir?YM1OxOqx4ZAs}|pM{?Դ#t|g7Fn'5,NX}GǺ®Q 5 &55U7z!c=%MۻJrci'\Oc=v 5D=;cTK ޤI̊ڍUuʸIs{:uz6$1=55[أmu^rT[5#;YW?%JU]?=v6#wf-GC6[vUhV 6LUpTUba›lD4rC4i,RG,R*rF{/N6BF2X,]EK1fm&CN(`Ò $tϗ~RGfr/:ȭ0eem͎tG>ׄҳX5$Y˞.<2"gdX#foQoc߲ϓ/kljzGJX넨qRjƢI:ZԞgfX1>,[Wc]OzКt\k&Xj'RSJomW.xVқ)S-XA!Tii"U6eR ??ʷWa]&|˸=-&5fKJfy)6Q`>_]l=iuӎpݷk#b*j#QgOh.?#s6ވ=o;y_}5/ OR?-;?ʗ{؃߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽EW?xMը/D.^kGjƷN 'O4F^U/=߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽<__[]Fz ߯1۟r׷ 9ワ-;?bҤ{{{{{{{ݫ xmXؤKEYQd\d1QPEWGWO*zj $ÕebrbV8j +V)E╩kfG Õm6?n\ rQbs 3ӵv%G5e,n#UT۽oNb>b29cN,ZlADuTXNޙ9#m`u-T5D.u ߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽g`r9eCu]Aಂ|*d;Jf1ty4+R$\+ k}{{{{{{kg0zY/Y# Le)Q5UkcWU&'v~,f { Jew.%]*Cfg(,/x~~~~~~~myoQ6K?$p~c!IYe6&t@J{dEo}L<8NdHc2RQ0EO&ޢl1HjBDmMUZ聘sɉC5dxqˆWJe` 1 =߽߽߽߽[76V٫ro 륧J{IhݣgDV>.Up9jxj4 |MA$ 69~ؖ7.[zzjhs^&Z,M"WϴbǁzWf7oӟLoǃ n?s> Fi}|<)}A)ݝ zISrEh%:z@L#^Oulؓ h% bU7R e{_v쐲_߽߽޻9c`wBb`;cnn <۲Mv؊oh3ۣ1Kp WjjDu(̀8O46V<Ww"QYɼ9,JF'׳1UQ%EL30Uf 2V]%z;79ݫ"ܕ 9 Wm6i3|m)D=߽߽߽߽߽߽߽߽߽߽߽߽߽߽߽ej_#oz#o=_{{{{ya̯=tVl*L73]9o)3Q;QNj®%\C 5*(;3vǾ{/vfwwZnTxa=,J*zx"jx(8Զ6?Y6~;]٩))+dzas`#죒GX;`|}olE߰nֻm%ٵTPjB~?s}ү7xjwԶ6?Y6~;]٩))+dzas`#죒GX;`|}olE߰nֻm%ٵTPjB~{;[~ik:gSUd0n%=KSԵšxJ7~XǝY<]c53KQSQ2#*%xYÄ6+ԓױǣ;;zW!ϑoy y8a]IEI!FQJV[}߽;;%NŃڟ7gL_W/Cw{X{{{{{{{{{{{{{{{{'{@v/xǫQj_-o\[_)o}<~?*? GFqJ> ~~~~~~zną?նX vnox5ܮ6t8)!XIك#w]+n|-?@q[omq"簯Z*hKZ͛XZ Ii%*@αrLo x|D靳;'n͕vcPnl|Xgbj),ȑu9],RlF2rԔxao]վ2t8d7fv|m%y$%C$^Gf&|:h]i_977Uț0yL՛( ׊oXfi滳vl<^ԮI8VIJu#J T) nZߜ]KD۬UnkuBD\l3/Gv)(J2޿΋w'4?n ILKr#Ո~E (nog\-?rum++vY )+㚦UQY+a"Ӛj}GRYJl}#v?p&oV撺xooedn,[pRVVX$G>s|!C9=϶i܃"qOx'.jyuPR[:3nmɺ3Ǻ_^}r4Pny6(阯TCGe#Gu,Gv͚mޫqVG*[+ >(29]OW4O5:=2;v~owaimSrmJiy\UY\Du$O;!5'O#گ=3t|ZLlm ph>7r 5>jgցAKIo5&}{Fc]AWq3أLæbx^jR GdԳz6k z[5̪l+@u=\ I<f0M4x{kj*[#U)H㪐SưyfqHꦅ{COOG{9r,>SMG,3aI(]Q`MvX)Zpyj{qcs66z.n__Ϙ][e-%Fr 鰳ݱWVid%UK+3+ĊŜ]oN/]gaU]%`f])4ПK~oڻgvS^\fݔ#v-n֚jI^Jd8V VqH2ଠ{}PKw~f(UώIJո}!ˡ?f4[+n綕\Wv ^s`C*puUd"Cmp,ҲM{s}m<< 3s%&GTRXR5#5X*o1gN[6+[!C%Xi!8h+2']H[S=؋n~:n͗]vژ ]ʍ*䫕MGKKL+?F/$k￐Cv̀rer 6Cm'-WDXiM+4qի3_rA DC&8+7Fʤ~V`1E!ic*eKj_Juvkhspd*=u&5ƒ1lQWm:༪ki=xu]&7㏭osy_Q8Uwvx`fjV h*o]L~LBBY$:cn|ٶpҧ QWv>5ܳ<=MM-lQ0`UG8fMTqVn'Xo<¾mJb`ҲԪ6c_*_Eo ~"xm,m|>ѪUXȖ l$1-So=mdz~vG[ocݑw+kjZ Oˡݵ _- ڙ-vחa6:=<%uEK:ҠOQb׿?9Q6nܔQU{9MFgm рXbs0˿2F6n((e8#Jwxe.o}upózaȮ?llUwV^V*2ic7jmq IW@YcxnʪC3_UPA 3} n vo_mە%5Nh2uEvҵ-) Ȩ G MrC4op%zK3㤊GX+G"-Ͻ=N)R7~5xL6 ldF1i0L)=D1/y-d+2nSv؝+!qe)hSīJoUɹ<[a)@|Rwk32͆.P#QEwPTC?W(h]o.sg{'Ss 2`vFb 9* ꌝ$ǟwX7{1׽h;WugS#-?]tZجXE~]-՚I GX:BڙXqXZ-j7dufì'>dn}ɑK]&>Tdg59VEQ$DG7[sRd14UBP`S,B@鎪%Gaq M* h7N8U~oPvOPQ嚮 II"F+(߽߽g|d}gmac^㞎|V54U䣪yJ̄K:DK,iO1қb4o.6$IN5E }n5v{`n]ce"|x:LKnVNZy fVTY6Wzxo+eov7/3t|ZLlm ph>7r 5>jgցAKIovɿSg_ ꜞM2Ɂ۵tK*2tk}ۿnvݡعemMBk+ %G])*g0#JkϹ9j~͓6OP5۾ݕ4LtSM&>ٱJ簿ɱ%¼/ձ]՗[/͂Qp.w&ߏ{ʚ&<򡢀͓Ӥr=:M>:3? \?- y-v~e7]F=ع<% E3:8!a`7_']&S#LںcW$#I .I4.Oyn@6ټbnamZ]|Y bKV?>o.{fKvW9]>\TRPeEp] Xm`yz/yoӱvnM7 6z<'2}ۻ]\iFI:ĎK4(q|뾫x+)0y-_E<[zt-б ;C'sm;anlVop⢿tlY `ekixȝu!mLb,^-޻{rg}6դګZ:5QEKuԲX.8ɪ3Wn?kl?=E9<6uݸv<;eQMC$NW򹜳ICL@:;HL̷u]!.3L }XC*+r*h" /R".7ooz۳Xڗ"M AQW igIʕIn;.z$I#~GӔQ 39ʍϳv䫆zö09ʘ)5lTUChV }?)K~|8^Kcm]%ߙMCv.eICQL_꩎5NXX-Пd|]bgmVr}娪ʚ !/YREB4?]ilF#psީcw^VzIMjaK7>xnųkbp}+>+N"ŵW݌tM膺I#*ou;E.[>2[j.mJt{Ms+dyJꊗ1URu!@2ů~,@wX7m'z!߻_Mr4Uuƛ%~i#WƊҠX{c2bՒ@f1Y==y%+1 䑚R}_+~bu/mK y;nM58!*R**k:RcYf)Pu%9aܞ,GC5P [X:ei#M72*6%wBgOY@|r>:|ꏔ[7Vf޲XD[id1jf[g`a,;9/6/^. ÊqQJA$3i R̺$S piGiMyݛT8<^lZOvzdc9mH=; ~~dmݽ)g ]տ{5lU+RTAG IS3; h)em-fc6n:mo,|2HuQG=\)^s%5Io{;h2P6c 'U2WK##Y°Y"p28 ?{{S6J\dvN[Kn}vB4tRԑJTЫ<@Q]%n[_n$j评\6׎/s!gUq>]r8L#`1G9@6pn ? n~z:)+5]hRS(j̆ΤpB,M 5gh*ۙ:<?rҦ'S] u>?ߘKiR{+x4qMN-5HJT鎔XYD;G|Ng{G:%/GG>7'3Edj)#T8??οYZHSal ̀lб椯P1@n"|z_*\%Mՙ*-÷Q%yY! fy +e}/;3t|ZLlm ph>7r 5>jgցAKIo䪷Vw~T|{elֹͥ]Պ;& t}ˉbv7檆]BfXg?Ƚ_؎fGU46ҿŲAJ\߇ݎ뿓x4IUa6=~ xEJҥC% BCY 2ӠWg.Sl|dz]v>d* O{j RW ey)'H z qPpl6tXeNtJN"UIA+F_R/HO<dN[>]L8Z,=b*O1OjG*l)g&OI7buTl\lMrKYWQN]OV ޫrx_v~;w˹nWW~38F[t+$:&̚y9(I&<;k\8}TS&G#Dn]m.3Q⫺WG)28|MVȩyhfj htg-~Oslny0$i][5& RS-~IAg;{kT͙QmnP~oj)jjRCT;>K+\6?\|I6f7YߗHhZU"ZzbiW_jzC fVUQR9jr X!ePpo}C+W럈r79lZ\^٘a331B&eBVȬ( $C ?T|]kI.>p?(O>.|ߕcKP=cwVcjn( Jh9jZÄe2 :jݞc1^Oaa=n[3vFs 8D5HCtH}7ݝSپf#orY RnђdzW/*HoS74폋=}zp6&Kr&96S]O*Z;R}__&gۻs/OUq`d58jegTsM<'>cAb&313bn̬i4]hPOE$r/Ta꽷HYXf̬89PMΐ,?Ͻ0:8{[:|,K]>ۇ+Jcx*"hcĩ ul]oK[ul'L|y,j᫥ʁ$O$O]zcbn|6;fY;)(()bJY!K#*޼{c1݁6n֊TzzϻJAW5%M>>W E)h` hqZĪ3/-AIԝ=uW+ -Vhv$Q,!!!E,+4?쳳_v?K|9|~W >/?9>|i 6?c3UxL@=4sH)iRTG)H!Xked1KpK _wz6GG3R{ H—!JhX.!&7˾:S%4W:yS )u=մs I?K j`e!H~Τꟛw~o m&ɬ86Tas+HcX:4q'PiSovȾڻoOۻgSoq4I~;V$8@I6QϽ>|ESп;fv#w9qi)Sg]>tD߽ԏI4;nEۍ7\6X'5_c6Lo&=ޔ?A#Ϻd鍑4;iy| &%B}:YAfOx^κ6[x`'mjZ#NFޙ=ڻOqMS_Z jqE65[ 0$]|sm&{7!fp9IUasRS;4QԼ-Q=!3]_!:# Fodqj*3Uh.*ZI!jQ X bi1)6|{7&)e7h'GCxQȿtu9a|Ե=mXӏdBk3Hk *2@v@JO7Tl\hnnodn $̶e%x̕OXa1Ԧ6v~Y7{daă>_z|Z,}_w!VFb5ܤPMED ; [m%C*6.K 7F777f[z2 vJ PnffJy0SGFtx?M4Q[%..S)4r3mݟ B)rbUD_7Ywloo㷮efSjm IYKB_pb i"< d#+f9tofVlθ; &noOd9l,0m=lQ5$mO2qI&/;c/,A7>,5ZuɏЏۍ/d?#rS2STMgwp:R~+U %cHIWͩv{? |jE~­V˹w&sP2TuRT Yb@U]a菂6v^fvKpA [2; ǾR,lS^OL'3WHbP}z1w>Įzg5띉BCO 1չZX*['[)rEXDLOMK؛ӱp s4Wj ]8X#xjdY?"HѼ>Y=+=6#DmS6G/ohiE2K% IP!d |W؝$G*jc\e`C0R񯽤qd:`6As;>]-LW!z4l ;$?Ïo>ZڜfevJHzL^:'uuJhduYTۇgţmդn `ʽ˓\vU"J8`H5ca?pCdv^NJi+*1eN:&FVgVRTGc.d{IE|Ç[<qF/[8zuwU_*3rމ;G>vQ{o;1zo;O1ϱ66XY0eqj)T蚬n==v Okd355;'nLo-5*ddi嫘 XτfOGuj*(29}ᳶ{/yriy wX,OHϐɳxn~?cj0ٚωnY"8elLf4E®J7^VfcxMDTTU/MKO$(?A[W{nleu$^QݙZY#}eC9*,WR{O[VdjK-(5BKUWUUKI#1Au|.isϗi #eflEjYkJ~E~#'__{ OO%l᪪桪gR)*j`&|43C)E{!.G+Y56ߪ; tCRܻ#53ug7cڌ[:s'xՍ1$  ,hP>6ܯM[tyoq{!K>PW? ]4Tʊ#T3ygLھL{ۥٸ˹h Z}EϖgpȎ排Z`G$,W˃o᫽W0A_/UR\oc ]ܻ>?udtFmi|q dioTT~7R_;G9﬿x0cdcUdiq'1JaT+:"-?u'ct6O9CCܢ|VGM"V%4jZY:x]~<(N}J;rl$_xZi3ܚvLl$:)2% A=轹iyJhj\VHoU{~fa:6N&s1K('O+,jHg9?O^}_e'l|E_,;;G/^z߮A|un{%jv yUOS4 F҉Sb_Ӹ:lfvf-)._qm?S=NnY*Ұ5/:YiU+ߏ=_d_+<qFwOvE+:qlc{qnlVO)E_SR#u.a#r?GŮؕ։%-b#eѸ1y HYx`m =6=]twko9qy(%R$4-E;Xvݗ?qPv}o͈c1@⎞6FPGM^Ç5)}mԿ*r*=/>9?^}?og|~>.[vg'A)GDG".}amv_I$ټ?ΑUS:ه{)TG O桨CxS%65%J4s([[zc|5^Q4T~9<3ficK,@UP f&r}+3${vZZ bhP ʇ`shjiH#{د莽={cc;77.-bݱɐۻV\0;o]+=*=eLr#Ml#-=O롶llH2fb$mg6ԕ)I ₪:ȴ̔N+5].tXv`g1]sq;&> 21hqN]\פKIcSgV?{{_D{szqzFe5shd.2)t,@;/dq-&O+vtl+-f_qfI$X,D T-?nm fG2UumM.*JQIW-M;4)݉vH+3 %-[wF4yQ>e XIYw{տwW|w'Gc]ؼ]FCrtbcVd&:@.jdqLWӭc˺p̎'`ly*谵`4YMɸ㖩>dWVfYC+ݹamj ڛfҾD%&R@;B)&T6;?:[q-UffX%T**QM<D/F`w~ɡ.~DeI'ck28OIPesԆĎ}諻pe/~+{ymύGnRGu<n~kŇە44P==\^CD[?Btv:d[mmU4Y5Ue4P$Į"P#DPP=~>龔>S>ۏqcfYƻaSj NA H['xm=n^7-2)&cpܩ`-b${S>WmG=٪8ۻqHsUsyi%bc=">C&7Y:cfk>&ٺd7㱔=2JehS * >.ٱǾضW5ñ)58:=L)FT 21hqN]\פKIcSgVdaă>_zEZO#rURV~]53Nxzոi'u= A!D홻 ]u6g1}j*[eh66sag 7ɵd2vG]f2#:[Gzâ6-V={{m,&ۇ{m&+.FÜGOִo]Nkƺgh_*ί{bԸx*% ZjxR5|_3YmECRXlzjMxQ?R}{7N_svon㶞q_z3Y"b`A=TQ 6uvqit̓Gcob^ia1f3s f(A4XDצ>V?\MMW;dwmaj7Ng jHQ!]*Hog>/j-7v稰>31,8&ymbxWg_1޴}Ow r[*/j9=ɵ6V[veT՘wQ)(>Z3GMƦTB[4;>e{+HP~)-~U5XP7WKpx!E4;{glafɇR3' OW4Y=,uJWIcWu|ߝ:kb^ݯސvN)wO1hMRMRD$mL]G믱Xmب=chYMԙD$KhV>~~~~~~~x~sضo5\9Ē}ڟ6ѿ+V7Җ&}u >Fi>}߽߽߽߽߽߽ޅ=3[!oO*}c~-V8l 9Mby)r8x:^7e }v{x}^ $݅Url|ȳ)-hTU0L3}ڛk1k2\q;V9(dh쐲_#ck9{kƶee"Z_"1, Sy|^KV ^vF#8#VL݇B$}u؁@&=/|2I~ǒx4WuUE%l^2AIZes 1 m9K *%<ņ5]N֊Y* ꐢ:*Z{kg? /ϗ$)s44Wd@WNJWP o`A߽\8?# $?C_~F_ \iYJAM;~sRVAnTT+j3cܶh!Yi>m2HJpyoP$|Y?+^Kno,>",j.$VpK$wQ9dFM׏#fdtav >G+)ޙϸ}tu~H?@#r=݇)78z`~a|td$S?i_Fvvr_5Dzi@S#D r=*()4Q#~6:Fx;44[/f&uY<]MDtWͩv{;?(?!3-J,~УEቩ1,Alރ}&dK7N7!s!?}C`O[?x9#aUNԤQȤ#FjY.{8ȘL&|ʱk̃HD( ބ@!Tf *I$ٻ'jvGV+s P]7nlx\-GT'u~-d2P;;mOE;Y/m gK7vt&)#lVWF|]L֑6gď:">F{O^}_b,3>G$C*gG29qFOV(I%MMd8휅IaOC֛q .֪R>Jz)8_Er1AYOIU2y: O {շf C! OmbUj3?苳#oOwHV;3_s8 幱[p~*2Ei*X;l޻K{c$h<>䢁U갪.9sgڿ/ݴ&/$,&- [ST۸JEez f4xGV(cVg:?yy|\ݙYo7^_ c./7 ó:A5KZo1WɾAfP7-M ~O1_U@8 TX0 X)vU}?g;i5pZ.ŕͿe->Mw?3>;@tg&.և Ge] -]o_)A7g`8 :9ŏvWxGtRjEݘ@_ޒHҫ1["]b Zj$~C?[W{daă>_t: ]:qoc[jjd!S(*Z~_[t*K Hkݟ{UvCw6흾Y(:6^H?-r @l+K7wO ޠ CN939]unZd)so7_ۤtwMO}ipu զPWSL}DcdK<3EQS,sѯ[PH4zTPȄbndP.Xjݞ/?LRW?O^}_bw,М eӓZޱ̤,Py^ /T@HIbo}K7ʌs%<}$hi/(qj_{F.|uV/?j,B"gnj >gEw׹_{ _42$K{&H7T̒FpT ؏tk!LƬ{jD 44{~ :#=fz>۟ѷ&m_C\sC?DO7}%FU&`~>KُI_W~+d﫶Q3eT V/Qdjj) xDRY],@76 u&N%AQ]B*JD7]YO>gL/ fai&nBdHNSpm @Ӆ#lVZ+]0ؠ͔o]ƪyu}~v Z0s#)o ̧!@oGB6 u=Peou>>` ϋݣ/6g6BywuJ; נ9o+-; +̾+-s& @=6V2U,#TDeY@?P%]>7=ôiq/%k1DJ0X) ]O¯T Q.ʗ'o-564E[I+bt8s_])C3HcaPiZ*MIm+ PXP/؛G|'OB$ *UqGSQeU:L M\83ARR +&*#RQUBuESIW&+)l>#|2-$-xLn Q5ښpr ݀\e~kmqO.KFdu-<{sg? /ϗ*)_.{?zc /b=_/hL_HY/L[txuoqv_3$*v,q7cK',/#1{ڿwǩ_z{e%ewĿT RzSiwj"h{_-7X: {wkk5rPcۃ/'W]] sL,QA`{iֿmQ'#$JR'Bu1,@'eY{N/kVJoj01mLv^t5I* 6^Wd?PC'zIi}kTKƅ(/ IXgJfª,14o 7#Q=$rC$,N$r#ixF  .3ExmÍKqٚ C+hi[K d%NM#{GvOnN1[kab3Ad>N ]^P͒qT4؁[eI=?]]oڈz {lO X:"7Wͩv{<1IV+}οbS.;C5AVlmGJus$( 5{t':(jwMSstnL|U^[;[?E|9lZ~|~6xRKy.A q}E|㨊X'ޝu< ݕhRE,o!!!`vV&Wc]7mt㚓 {osRj^6ĠiB ]Ak Cf~~~~~~~~}$lވ}3k|ߏ1[ omK} ? GO'؃ţ}j^ ~~~~~~zną?';_P)?̫H9="~H&m MH?u ( IVYI A>L_HY/L[tx`//}ml ~`it5W7R5KzlO!Q3\)2~?KzuVA{l\eaiFyxRV4(䧖9HD RFz^mJ݁Po͞u14˶q8R1VA[Q;,L/lV>3lGT1ª}nbLfrTe, D% 1muYEI"n6am/mݝcIuf1;(P"u6ssn}asm6ߒ8̔rEQU[rFcYw~&@kB) a{ [wձ[who_ԕu97ݐ`09 >ܦˋZ j)fWZJ3S{޺_[˃??e=a$qKxF*A ,G.r|M;=|]cu3]|rK`f_--\O*TM'?e=}W?|m&#pYq[SPnz,R[QacuPfiYwFo}UȮbjSdes٘bzj\EO#FOP &S{Q|z^T*~Bat,3k7Dө-(':N~@O0A_/UR\oc ]o~uq3v[W{58_-ݻ#6Wp9h7f6#-uw_dVUe!Ii?TDgxIOQ)6]vL}k=wv׊h2t՘"cܫ^$&%UǥdX3musap 5팆BI*g5:UE;BD2*-MK;G?zSvM.˹[ Tcv{Fv/84ceJa4ёK\)78zr|Ng6Z<#\$USebF3YB@ւwlM.5m멧@kc%g ЌAY~_v䝃.c1`|PTUSY!QYU\mFbQbBuH wmװ{4I VʊyJײA;B,BJʦ0i?&6fCP^mn9(<Օ"USyb)K4TmpeݛqjvyJɋXف )[C[c7zbZL_n1{iemHSgq1Uv_0dFF ɦhEx2vM?:^qomTga5D1h e},B̰=DeMw>e^ CE5EGE oSڪ`Ts;o!oCO}WX+U($3#IDث6?̿'W~TO;ncE6݁h+1Yh6Q R(b54_X I;/;(cw8c@2*3*@ ȤHt: ?8>8ZcڞK%&5nRż )TElUcZ%C}jzo` 5cn b_&`9?k{cr] N smc&;xHcG AGfWy$^_)t56N{/{M4P+J_t: 4gvTG{kGX=0!6ݮ)hwtrBj,c*V"fe,P boaܝze-rtm:TώXwM_¦hk(zuLRNIg],DZGle}&mjF{z;*|ڟgkb3Wn?v|LhǖNޔU&z}`,f+J(kq-f6b'+%LF#u[Tu^khd}6>WOE Eu]VD@ZS(_u'WɮlM*{˰wy|RIR1՚ɻ-:4U.H,} y n><IJ3ob !%.?zFNPK@k6Rc)NEUt$Y>48޽ޕ}wٰv3ib[=nLvǮ7 ULC- ĕAZe osQwSfmR¡=e-}DMɥVZE*,SW}B8"om3W?mݣ4ܟ1=F$/#KouFZBu )V{`l칬A-~7pݩZjILd*dU $ڟ7K?쐾7޳_sN;pc/]n]ʬ1 ^AKݥH̳,fWuݝ!0[;~{O#hLFj:l\rMj!~(aBj+e?CYe 'T{Oޡͫ˃?}W|0A߿Gz8߉;5|Xz%mv:Iv^ ])>ƾAe#r?4] `:/Soܙ$efF\Ef;3E6wl*Xc*XXs}l|뜆ᠩb(#0TETe <+%$[?+ojkPUP&X;e?s3TȭWTK6.@9uM 8-`0E7w}{R̪?G3yob{K}6&{[7.+?^RHnnܙQbE;gb5sxھ aȌLHq]ie,jtfX(fm=Gnjb2Y_,)`zx5+ _ɯr{7s㣤Í{Wiګ!E+#oEHO4E2M+qk7ј4'}~|jjeަ&U5B:1ω;x=ԿQvVs%v>2+;*XƘ*(,"2̱o_ױنuDZY3(~8񽇺#7j֛Բ԰&P,󱷤mi&>:2(곰ۮn&ժ9厓$<0VVfw ͙-Ԙ*رMfLN=$d1AO]]Fn 5V䶞+)kuN#Z02GQ<+[\Oeou>>` ϋݣӿX|s{C71/6LI6t)C bHifpooxtY`:[3MPG`49ibTE4%!㑇Ϝ9OǶj=vDyՏ*9Ssܐ9gx8"HY̒;[/i[[w|޸QmJllX1 Sej4F\t`)rL__mOGOO^_?2R3IPQ;[%"2)4CUQA3J 19vwlaP,&K1>v J~)X0I!pkʢX]sؙpKZUe"׉\0WȐF)b4y_,wn:N,&G;vz&}2M75$)[8"_od{S}[ɋ%wzk~|qjs{^+oӼ O$z&rV<{'inM;lndM}{FDzôQe)"KM:bkb@6RUoS&{+Ή pzƛ~B.kߧxޚZ:YIvԳ(!)(^f-$WYddŽ?GU_<+Cw{efr9f!&(ԸY:0+l`9vN+շ*_f(%<^&YM_CmQ]չvϋ꒼v;G!\KU,hVděz-I7$f+?jU̪BJ[s7`X@ ,Aww?JC/ֻI'ufRmYQ,y'od)JG7{LHo(ad#n4&lcUuyaZVS QuGMuFX6WTl.ېJUUi[³#BcfLj(,Q w{Ollx-:Z 1d(TRB1TB$dO>{&[!&ClSYLVg MtkAzAI:ߩnؽ:bsXݿ TJ=ͽGDU'N\MiQBC1Զzcb;O1{va)rt3ee^V`cdW hEV&\){{硺_fSe*VS>N\MiQBC1Զzcb;O1{va)rt3ee^V`cdW hEV&\)a'{JwVe(pUR7ۙZJdlIRBI,Ŏ`JwMˈ>:T,uQղ HqϪ{W8zveYkrUyjgoeg{{_dH4QaSq ]9ܥDX!*ډ|ml>yQѳ%M`\(wpv>KV9Y ~b |'ZaJ*_K5M֢R75Vpvj$4|I2^#sshu=&j srd95P3^U(*xƀ>?f^o،q1^Z3CM䨧]3RWPV+,l8du Ouٟ6e6꺺LEw,3eӈt/g !6E{gɫvew-fO% &7ڣm* }c5+bAvbvRC`)u,J*ETA{arI$I/4{jc4G`lذRGjک!H_xg Sew.c{Xn<'CDmz*ɅR4"ᕁ]A؍8^0;+ r,F#zw,~:?isOw]=Nvc?GM*Oy'CQ y|`-L=ۻhs[7z`kn*q^:~Fkxdxlꮌ¨gYMnXꙚW۸c)" ]NUVr98_ tA :[g7N:&c(Xc@PVD|7V)TSSuzYC#Rϻ= oǞ{HˉP055ZUҳC*0It*̒('MfAq=jl, \JZ .Q)kߏ˧{G!6E;%AeSAIrV&[dz*6?mޞL$[ora[6Eb,uEu1NjjBDd6J$όY1WћG!x2f}LVaDxc2O쿋M)3g(h3e`4IE6nQ1HUIB5;$oOƯ]>]لQ͖ݕyZ5\%Xepdzwߏ_%I{_2yxxfo (#79'.)ЮDa@Hd4OwSMg2ZЋPdIx>x><|SM%ݯoXۋw5w&I3U 8qeuR⧌hs.o=6Jvۃg碤jJ06(H C Odj*{7tm߄o;S?ܘcP<4`: bBO"3z-Ä`2K#ca+QdbrQK~>E7Ӣvs9zɳ?mZ ՗#1i[$l>;S\l$FfvnDo%F2yy t6rPBʠ$$dtI:2}wDAPj?9T¬x]yu糩Wwtأlnr5t{7V_Ej5eTGh]?=v6#wf-GC6[vUhV 6LUpTUba›l/|7_lV֪c3Cˉ5Zj6ZU(f:/]~5|zlGi/w%.ZlЬl-+7=#hhXFXUxK"5R b=p*_mٜQ[7VeXb(YzL61#ZQRׇ%Hkc/і06^1fu[MEBaePG"ۛ菌}! S틏'"jIjۗ<\}yjdEb:ȰF(ǿu[l|p7w#~ymѰr4MKQ19jZIHGEVI\$aP~9V}C{CwͥpnM%FjڠR/gHzZ20#t_ʜL]^=Q(jlɟȟQo\^|vX}Enj5"qj:IK 0i d*?G-m|zLp&s36jg,3ΪQџ#ٳʜհ=Q(jl7*%=R7&l֮Fѷh憦;54#:"3ϵ?ż<]1ʎ'q1^ָeMU}H }כ:]溯!0zZ*osHfyA/,HZI<8|&迊ٽɟZ GxL>]7QUE,>f).f+򸼍456++G,3D:e%XHR0|Zڜ=״r+&o QZG;4[+5li Q!R]_]o V, T*?P5xβ ǰ_|*߉]wܘ}.;po ֶLM=-*FDq琤`E{=}uWlM;N:vcv *ꦭZZDp F#Ϲfm.۹=6vm Mg1 5 *QEj@=wwu uFyqx(Paџ5/wcyq5U*V}(eX .YE}֞_$i=N'; C!qٹ%KU>dҪ%20 {[t]㘣;Oh7VȲ7bdܙT,8Jh)1JSP$r@8yw]r{G|m.'xȏ2R+.>[20 ɯnO5ֆy^S'wQd*B*VPmu#`ei3YwjURH;}n}Q;ᶵ4̃PU4Ob _v0>C)`},bj:*UH4R8*{ 硺_fSe*VS>N\MiQBC1Զzcb;O1{va)rt3ee^V`cdW hEV&\)gφk׻=EG )iiñwR 3Ңw?*;3qtbyeEQŒS_c]qbM=]MSHYYstN*U! SE->@c}ݣu{ ?m.tUac*j*PB Sߑa.|v?vVS`uE.bn7Mn73V٬& PLV3>`{װؐhe~,.հ=Mz՞-A՘=⬢¨MaBEns%f ́46V$Xe dzAo[霤ݻckeƸ{#'OxyA騱إTttĊ |}N]?B6_fnG]6'vUZ .6/Ct7_pn:l.֥dØ˖iVjjɕXeV{w^l~-ػ[ v]W3Q5Ew&I3U 8qeuR⧌hs75tɝݧzLnUuDX- jm &@ I_"ݕXʸw츤e?o>Ns 5~c?1w`n&O;6*-ٗ`+!dweIjtd(I,1$q9Oh\>>&z XHIU+tyZPGx]PG."X"~7u-K۸}E(eUkӼPA;X>?;gs7³ɱ&ۊ?:z"ʰ3hg!vj3283z4+۰4}շ噏>Î:;Ҹ.دԥ];26s፿ģR=輥Rד 'lEMkbG^6ژHL **pͮicW&I%fW,;;).-rY*WCɊi(&*؃24HX[qY[nd>]׸M6ewu^N?*CC,jzZX{>>?އ>ؿo.ez!vͽM,a)(x-q*` A7/  am#~?ʗ/b~~~~~~~~~~~~~~~~~~~~~~~eݽ'Fn}ٟa),j#d'飧YT)$7aŸt oʎQ;yۻ[nZlo7J,mQTT4s3 8S{{{{{{{{{{{{{{{{{{x嵷&_od^j*ԡI̩##A"??7SKzgevM-M}>6ҳݭ>%<7Z5L汵8yŹl>{?\߰ǼDp QƜ{e_ SW{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{D`NxOeUr`"5R??Oz<%av>򝗬6?ݟ㺸K'\ܳղa>|8i|w`gZpbM-|lꌿivaݦ+l,Ȯj_Ͻ?ж+ s>}eVkޏv؛+/<^= Wwv2N3cᏫ]A #^?je۫{_sua+2"}? PA}ÿ ;/lLv浵7yԿ[LJ1QZAS" ķr'? #ֿ[s=ߋ~l97}}{7[G[}ď7y߭k?^ߏ~?A~ӏ7\vnGZ?ב:n=AX }?\r}=?_7~y}~ǿ<_~^ a?}oПa>ʞϿ??-7}=?=>qʲяy~7_}ַ6/ʲݯk}̰Ű_~7?>"ڵ~]_Ž=M߬ߏ~͹\Ǵʱ?<}ېmo͉cǾ6 k}Ǜ~NՏX}>s9?ZQnG珧sǤ6oX6>c?""nGmO6q|-9}Mןyo$Cc[~_}o ۏz~<=6>[?/߭ ܃}}ֽmְS-}M>ŏcؐO?yR}~޽>߭so#~}?{>ߏE_}X{9syxѵn/I#>@H^ŭoſySO}yO#oc~M}?~ߴ܋xOЎOO_O}~m&?}Os ߂H ߈6 ~8ZsZǿ/}-oO`y?~#5s{rGoks?ry8@~6_XSϾaq~tyO~ n,[Ï}kzA?v[V[~?[؏#߭ o#{~}Go~_{9__~Ͽsǿ[8o'E?c9?k<}?x)չ/9}96s7sԟϿտ?~oo~~׵^}ֵ?߭c~~O?\qϾV7?}o?7ޓy7>x?b-?k6 6{7'߿_Oo~"[ ߭n4~ <}>-x?}~-<{?~7SQx_}sq_'~?~[~)}l?}>viasߴ6OϾbG{\s}ߒ,?Ooʼnk\[}oߛ{q{6 _ן~6 S}k"8Ͽ['V[VI#Eaoa6O?ן~~m)[O߭bŇ><[}>#߿k{/o?#߭ob x7??58!U)oP}ݣ[#3r"O#޲9>wf3_6nN cI`Ѱ"=Ն:9!?as[`|Cq ;D_U):NT$?US}ܷ|ujߏ{{@~ߏ[}8l:eNh_Q,˳zs5smEh+-cm{X>m;;( VHVQ^Q⠋ vY( tESk)mݲuLj=;&uP~޽C]k69}aszo3~>9oћ?̿t ~}_s?دϿ×\ј}Ø|\ޑ~/G}q_W_;sØ|[^L?~}_pp7G>_l?&_9Bo7}_p 9k/qxg }3_GvkSΟ~/(OrBco~/$]sMr/OscbTn@_~0oks>_s赏#S}? sq,ſO>.ڍ߲/?).R8,wza߿>.P8/=䟰×ۜo9ϯp>̿?׵b8Z>ށkڛǾ.<_S/|\irM>}Ø|\ާ.S?V9?-Ms_ށ3_>-QoMG\} }, 9o>??]L~/o?9sr _I9ſ_ oޑo?߿>.R?o_/@?'O×|[tn/or㩯r08z}2b?&_O×\}~G/}Ja_}Ø|\&t=L?ǿal\zFrr?׻ ?]E9ߠS->/=@6jc}_r7\~=>/=@3>_p Ga߿>.s7ߏ/=@N.?}×\xMor'A_wzqsSEo~/ֻrG9>X}߿.7_sΟ~/ͷH Ll/Ø|[ށ%7G\N?ǂW}Ø|]3Z}??9z?{9sQoev7/@o}?^[?߿>-N>asf_o@}8os#?3#rt/'vaΟ~/b"ߖ߿._>x,[so}×\/s-?_:G>.}?؏-Gce?=M?B9Ż_t{OY}O91H>.Ѿ/~Y4eޑoo>?G.}Nn0?׏9`wH^-%5{?9o7C|\5~0l?@>?>/^m>Ϡ}xO>?ų/G[Q?^N}>_nn3+?yc/×]MF9\?؟}ap7@?q& OS6_~/=G~}awz%7e?S 9žo9?[ϿØ|\aa\ n>?̿"_f?O.^qT_OØ|\5}r'6>.ӛ_s7H~/,x>.p?9a?;jc,??߿>.R>K~y_~//!}×\}oja]?_O ~O.~w@9?jk~/> ~ ?g߿.QG\2R=Mf Mo\?oo>_sz3qc\nu[S^p~/([?SX_.H?s[~/m-mG߇/o}_pP?ֻ}o>/8o+߇/=E>.Zށ%7Ǿ/>M߅f?;q??~/k[/-~~߿.QƦt\}SÍ>/qSO//?aOØ|\#s&9Ż"q/=@=anc[i9Żar|t/}8S9@~̿tz_L?/.X|\#?׷2Ԃ?_}Ø|\[>}_ppwBGS?-P8jn?>.S~ O'߿>.oGߑ~/=@?^4y9?@/=G?f?}_r/L~A}as_)>Ø|^>}ªg?))Rn_?o^ȿq5xl ߷P,ɧpn?t?/{o+)\ w>!вԲ9߽{FNBȤ^oz|W;jWu~(qjF:rn FQ=%vh{_+{zv@ ♪"ߋqG_w?@zN3#o^?=as#6z\l?O}D}ǾS}~%o}=?d߿+2\ -\{z\߁G򻑰ߏ~Omx㇧Dy޽"dy6?gOț{zdy}=8?3#{_}"'=5fFK{@ fGo-=̏o6O+O߃N ȏ_ ܁[~d{̈WN[ǾS>%Sۊ̗qLߎ"9"<~8\_~=<9{h?s#'߿̍̏dO7{z~26?o}}GqǿGx{矻=83![O+#<߿Ӌd~l="'}=VO_}̐\q߿Aso|S2'k2_q <+[o~8zq{Vd_=7"E6z07ȏǿ ̉m߿~kr?S~#ɷ[{xdS2_GOfG=E5fFo}>#ۏ~O+~OfFK}}b)s#{==y#8cK~Ozdx}=?2?K-=E??n/"[Xoo~N -ſ{fG~?[_)s#O++==9܈}mc}̑OL-Y[~>"fDp- x{̍"q!~=q\~xd=E?2?z~-Yo[#s==?dO }??/_=?2'my{z~?2$\}>Ȍ{E8~~~Oỏ{4̏pz~O[̍N ~Osj̏>}#qK_} G{b)+Y?do_{]_p=a-z~?2'ǾS2_CVd׵{~#?~N5}=?d}==?Vd~-̏}7OfK߆"W2VXs{x-2'oSr6?%O2#q߿G?{~xmmﱇGMǾ?)[?G>#?O{]ȟ 3#czfD/?zq)Odַ <^%?ߎ"\A{zok=p_^?{zs)/m %#o#߿?3%ox?{{b <}F}dAy#_)s"yyOE8̏6_->),ȣỎ0S2<}E?rV}߿SwOߏk2 Ÿ {z~mYso߿̗y>8?s#oOxֳ# ~z~A?W2__yO~O^Onm򹑱m>r==7͉d{<sn?{=?侇~?{E?doӏLȀ?{\~-߆YCᇧO}̉ۋ ȏcNoYo~Nx̏߃)"?"+r'~~xoͭsYyfG"cO+==8̏{}="_%NG {dm{<?=?#OG-y_=5fKqk{~2FÞ==??+zfGſ^"W2Vﳇՙ?N?׷}Ha~==?2' 9,K=0[>|'K GMH?wտb>?/;xѻ5Է甌$[5-*鰪3[_z|Wt؟>3 >{c#߇H?c?'?>?}{?~_Aߏa}{~{Ͼ??=g7x??~O>{WgG)[__O}}a{Ͼߏ}?O}?_>_~}~??Q_W}{߇߿Ͽ[}?[_ߏ}~OG刺}OߟϾG?>_{>>G?_> }Gh>OG}=}??~?_&a[g+ߏ_ǿc`޽~}?_ccb޿?>~{cO_}{a'[c??߿G??_߽?G^?ߏ}?OGߏO߇c!}?{k?}Ocߏ}?}m>ᄒ>o}>C{c{}?߿~=>}{_/CϾ'}?{~{Wo?>_~_}b?߿~?>7{}>>Q>=_>O>#߇ߗ?g>Q}!}G_}QOߏ}GoϿ_~?>?S~}~{}?AO~}W}}[=}[!}{ _c{cO_}#?S>cߏߏI}?{߽#yG#o}?߿O?_'~>|Oo}[{K~~W>?O_W?OпפcE?O__k?ߟr} endstream endobj 154 0 obj << /XObject << /Im18 133 0 R >> /Font 105 0 R /ProcSet [ /PDF /Text /ImageC /ImageB /ImageI ] >> endobj 155 0 obj << /Length 122 /Filter /FlateDecode >> stream xڍ; @ =ŻʒO)}L+66f$yI@Yi);F!nIZ SϔHV e4J~/oW+V)zOsam5n endstream endobj 156 0 obj << /XObject << /Im17 134 0 R >> /Font 108 0 R /ProcSet [ /PDF /Text /ImageC /ImageB /ImageI ] >> endobj 157 0 obj << /Length 122 /Filter /FlateDecode >> stream xڍ10Ew_1^3dUR(U䡪@AQ$B˚@{Qi!~>Ӝp#%ԛ'2uFU(as-?l5m endstream endobj 158 0 obj << /XObject << /Im16 135 0 R >> /Font 110 0 R /ProcSet [ /PDF /Text /ImageC /ImageB /ImageI ] >> endobj 159 0 obj << /Length 122 /Filter /FlateDecode >> stream xڍ; @ =ŻʒO)}L+66f$yI@Yi);F!nIZ$ SϔHV e4J~/oW+V)zOsalZ5l endstream endobj 18 0 obj << /Type /Page /Contents [ 104 0 R 160 0 R 155 0 R 161 0 R ] /Resources 154 0 R /MediaBox [ 0 0 595.276 841.89 ] /Parent 162 0 R /QInserted true >> endobj 20 0 obj << /Type /Page /Contents [ 107 0 R 160 0 R 157 0 R 161 0 R ] /Resources 156 0 R /MediaBox [ 0 0 595.276 841.89 ] /Parent 162 0 R /QInserted true >> endobj 22 0 obj << /Type /Page /Contents [ 109 0 R 160 0 R 159 0 R 161 0 R ] /Resources 158 0 R /MediaBox [ 0 0 595.276 841.89 ] /Parent 162 0 R /QInserted true >> endobj 163 0 obj << /XObject << /Im15 136 0 R >> /Font 112 0 R /ProcSet [ /PDF /Text /ImageC /ImageB /ImageI ] >> endobj 164 0 obj << /Length 122 /Filter /FlateDecode >> stream xڍ; @ =ŻʒO)}L+66f$yI@Yi);F!nIZ)gJP2QQ͎w9Uk5k endstream endobj 165 0 obj << /XObject << /Im14 137 0 R >> /Font 114 0 R /ProcSet [ /PDF /Text /ImageC /ImageB /ImageI ] >> endobj 166 0 obj << /Length 121 /Filter /FlateDecode >> stream xڍM @Fsc5 ˜!B7 )a((}*(Af#˚@W1\iN8ԛNN6uF(asFZ^k05j endstream endobj 167 0 obj << /XObject << /Im13 138 0 R >> /Font 116 0 R /ProcSet [ /PDF /Text /ImageC /ImageB /ImageI ] >> endobj 168 0 obj << /Length 122 /Filter /FlateDecode >> stream xڍ; @ =ŻʒO)}L+66f$yI@Yi);F!nIZD)gJP2QQ͎w9Uj5i endstream endobj 169 0 obj << /XObject << /Im12 139 0 R >> /Font 118 0 R /ProcSet [ /PDF /Text /ImageC /ImageB /ImageI ] >> endobj 170 0 obj << /Length 122 /Filter /FlateDecode >> stream xڍ= 0 Fw⻀UɲJǞC'SrjCJP}IB2Yx);&Bܳ5LmH C)Jj2I?/֨mfwKnj5h endstream endobj 171 0 obj << /XObject << /Im11 140 0 R >> /Font 120 0 R /ProcSet [ /PDF /Text /ImageC /ImageB /ImageI ] >> endobj 172 0 obj << /Length 122 /Filter /FlateDecode >> stream xڍ; @ =ŻʒO)}L+66f$yI@Yi);F!nIZD)gJP2QQ͎w9Uiq5g endstream endobj 173 0 obj << /XObject << /Im10 141 0 R >> /Font 122 0 R /ProcSet [ /PDF /Text /ImageC /ImageB /ImageI ] >> endobj 174 0 obj << /Length 122 /Filter /FlateDecode >> stream xڍ; @ =ŻʒO)}L+66f$yI@Yi);F!nIZ)gJP2QQ͎w9Uh5f endstream endobj 24 0 obj << /Type /Page /Contents [ 111 0 R 160 0 R 164 0 R 161 0 R ] /Resources 163 0 R /MediaBox [ 0 0 595.276 841.89 ] /Parent 175 0 R /QInserted true >> endobj 26 0 obj << /Type /Page /Contents [ 113 0 R 160 0 R 166 0 R 161 0 R ] /Resources 165 0 R /MediaBox [ 0 0 595.276 841.89 ] /Parent 175 0 R /QInserted true >> endobj 28 0 obj << /Type /Page /Contents [ 115 0 R 160 0 R 168 0 R 161 0 R ] /Resources 167 0 R /MediaBox [ 0 0 595.276 841.89 ] /Parent 175 0 R /QInserted true >> endobj 2 0 obj << /Type /Page /Contents [ 117 0 R 160 0 R 170 0 R 161 0 R ] /Resources 169 0 R /MediaBox [ 0 0 595.276 841.89 ] /Parent 175 0 R /QInserted true >> endobj 4 0 obj << /Type /Page /Contents [ 119 0 R 160 0 R 172 0 R 161 0 R ] /Resources 171 0 R /MediaBox [ 0 0 595.276 841.89 ] /Parent 175 0 R /QInserted true >> endobj 6 0 obj << /Type /Page /Contents [ 121 0 R 160 0 R 174 0 R 161 0 R ] /Resources 173 0 R /MediaBox [ 0 0 595.276 841.89 ] /Parent 175 0 R /QInserted true >> endobj 176 0 obj << /XObject << /Im9 142 0 R >> /Font 124 0 R /ProcSet [ /PDF /Text /ImageC /ImageB /ImageI ] >> endobj 177 0 obj << /Length 121 /Filter /FlateDecode >> stream xڍ10Ew_^3dUR(U䡪@AQ$ 95a ?{Qi!~3 >B"dT&}0n߈Zje>lV 85> endstream endobj 178 0 obj << /XObject << /Im8 143 0 R >> /Font 126 0 R /ProcSet [ /PDF /Text /ImageC /ImageB /ImageI ] >> endobj 179 0 obj << /Length 121 /Filter /FlateDecode >> stream xڍ; @ =ŻʒO)}L+66f$yI@Yi);F!nIZ*0 jPF4v"j1J675= endstream endobj 180 0 obj << /XObject << /Im7 144 0 R >> /Font 128 0 R /ProcSet [ /PDF /Text /ImageC /ImageB /ImageI ] >> endobj 181 0 obj << /Length 121 /Filter /FlateDecode >> stream xڍ10Ew_1^3dUR(U䡪@AQ$B˚@{Qi!~3 >B"N|2*PoDQ5ۿ26Hk 65< endstream endobj 182 0 obj << /XObject << /Im6 145 0 R >> /Font 130 0 R /ProcSet [ /PDF /Text /ImageC /ImageB /ImageI ] >> endobj 183 0 obj << /Length 121 /Filter /FlateDecode >> stream xڍ; @ =ŻʒO)}L+66f$yI@Yi);F!nIZ20 jPF4v"j1J66[5; endstream endobj 184 0 obj << /XObject << /Im5 149 0 R >> /Font 132 0 R /ProcSet [ /PDF /Text /ImageC /ImageB /ImageI ] >> endobj 185 0 obj << /Length 121 /Filter /FlateDecode >> stream xڍ; @ =ŻʒO)}L+66f$yI@Yi);F!nIZ On}D j(Q{xz^JxژS%55: endstream endobj 186 0 obj << /Type /Annot /Border [ 0 0 0 ] /H /I /C [ 0 1 1 ] /Rect [ 208.059 132.48 386.253 144.923 ] /Subtype /Link /A << /Type /Action /S /URI /URI (http://www.elsevier.com/copyright) >> >> endobj 187 0 obj << /Font << /F20 152 0 R >> /XObject << /Im1 151 0 R /I1 153 0 R >> /ProcSet [ /PDF /Text /ImageC /ImageB /ImageI ] >> endobj 188 0 obj << /Length 925 /Filter /FlateDecode >> stream xڥVK:Wdw[vفx6Vb,21kg ?t:*5N|;y$#!!9*"0ê px&4-P01Q8a0((J sO8E8<>,|| ?QVcD ()M_@8z3rW8Z>$ڍ"09,O9u%(1B8D(]ģ`0,M3A՟6~8' rLi<|lCqjDŻBjA =,\^ $C_<EAZh_,O6N.nQ&OVd! իַrp&k|>B*< DOX>6cX2jC7ðœb'ֳU휤G5[Ĺ԰M#6ϲ`> endobj 10 0 obj << /Type /Page /Contents [ 125 0 R 160 0 R 179 0 R 161 0 R ] /Resources 178 0 R /MediaBox [ 0 0 595.276 841.89 ] /Parent 189 0 R /QInserted true >> endobj 12 0 obj << /Type /Page /Contents [ 127 0 R 160 0 R 181 0 R 161 0 R ] /Resources 180 0 R /MediaBox [ 0 0 595.276 841.89 ] /Parent 189 0 R /QInserted true >> endobj 14 0 obj << /Type /Page /Contents [ 129 0 R 160 0 R 183 0 R 161 0 R ] /Resources 182 0 R /MediaBox [ 0 0 595.276 841.89 ] /Parent 189 0 R /QInserted true >> endobj 16 0 obj << /Type /Page /Contents [ 131 0 R 160 0 R 185 0 R 161 0 R ] /Resources 184 0 R /MediaBox [ 0 0 595.276 841.89 ] /Parent 189 0 R /QInserted true >> endobj 30 0 obj << /Type /Page /Contents [ 160 0 R 188 0 R 161 0 R 150 0 R ] /Resources 187 0 R /MediaBox [ 0 0 595.276 841.89 ] /Parent 189 0 R /Annots [ 186 0 R ] /QInserted true >> endobj 161 0 obj << /Length 3 >> stream Q endstream endobj 160 0 obj << /Length 3 >> stream q endstream endobj 162 0 obj << /Type /Pages /Count 3 /Parent 190 0 R /Kids [ 22 0 R 20 0 R 18 0 R ] >> endobj 175 0 obj << /Type /Pages /Count 6 /Parent 190 0 R /Kids [ 6 0 R 4 0 R 2 0 R 28 0 R 26 0 R 24 0 R ] >> endobj 189 0 obj << /Type /Pages /Count 6 /Parent 190 0 R /Kids [ 30 0 R 16 0 R 14 0 R 12 0 R 10 0 R 8 0 R ] >> endobj 191 0 obj << /S /GoTo /D [ 30 0 R /FitH ] >> endobj 192 0 obj << /Dests 33 0 R >> endobj 190 0 obj << /Type /Pages /Count 15 /Kids [ 189 0 R 175 0 R 162 0 R ] >> endobj 193 0 obj << /Author () /Title () /Subject () /Creator (LaTeX with hyperref package) /Producer (StampPDF Batch 3.0 Windows SPDF_1085 Oct 13 2003) /Keywords () /CreationDate (D:20091106103755Z) /SaveStreams << /q 160 0 R /Q 161 0 R >> /Changes [ 103 0 R 102 0 R ] /ModDate (D:20091106103755Z00'00') /SPDF 1086 >> endobj 194 0 obj << /Type /Catalog /Pages 190 0 R /Names 192 0 R /PageMode /UseNone /OpenAction 191 0 R /PTEX.Fullbanner (This is pdfTeX, Version 3.141592-1.11a) >> endobj xref 0 195 0000000000 65535 f 0000000015 00000 n 0000929918 00000 n 0000000075 00000 n 0000930081 00000 n 0000000135 00000 n 0000930244 00000 n 0000000195 00000 n 0000933283 00000 n 0000000255 00000 n 0000933446 00000 n 0000000316 00000 n 0000933610 00000 n 0000000378 00000 n 0000933774 00000 n 0000000440 00000 n 0000933938 00000 n 0000000502 00000 n 0000927075 00000 n 0000000564 00000 n 0000927239 00000 n 0000000626 00000 n 0000927403 00000 n 0000000688 00000 n 0000929426 00000 n 0000000750 00000 n 0000929590 00000 n 0000000812 00000 n 0000929754 00000 n 0000000874 00000 n 0000934102 00000 n 0000000936 00000 n 0000000998 00000 n 0000001324 00000 n 0000001363 00000 n 0000003088 00000 n 0000003175 00000 n 0000003206 00000 n 0000003400 00000 n 0000003426 00000 n 0000003573 00000 n 0000018659 00000 n 0000018866 00000 n 0000018951 00000 n 0000037114 00000 n 0000037498 00000 n 0000050820 00000 n 0000051061 00000 n 0000051137 00000 n 0000051292 00000 n 0000058390 00000 n 0000058743 00000 n 0000059153 00000 n 0000063696 00000 n 0000064141 00000 n 0000064589 00000 n 0000079675 00000 n 0000079882 00000 n 0000079967 00000 n 0000094993 00000 n 0000095132 00000 n 0000095271 00000 n 0000095664 00000 n 0000112819 00000 n 0000113109 00000 n 0000113427 00000 n 0000134555 00000 n 0000135072 00000 n 0000135500 00000 n 0000155310 00000 n 0000155649 00000 n 0000155970 00000 n 0000158602 00000 n 0000158825 00000 n 0000158849 00000 n 0000167701 00000 n 0000167960 00000 n 0000168060 00000 n 0000192182 00000 n 0000192617 00000 n 0000193044 00000 n 0000198290 00000 n 0000198769 00000 n 0000199245 00000 n 0000214256 00000 n 0000214486 00000 n 0000214571 00000 n 0000237340 00000 n 0000237575 00000 n 0000237659 00000 n 0000237744 00000 n 0000249516 00000 n 0000249665 00000 n 0000249814 00000 n 0000249960 00000 n 0000250107 00000 n 0000250266 00000 n 0000250422 00000 n 0000250561 00000 n 0000250947 00000 n 0000251463 00000 n 0000251760 00000 n 0000260467 00000 n 0000260659 00000 n 0000260781 00000 n 0000260983 00000 n 0000264197 00000 n 0000261025 00000 n 0000261227 00000 n 0000261269 00000 n 0000261471 00000 n 0000261513 00000 n 0000261715 00000 n 0000261757 00000 n 0000261959 00000 n 0000262001 00000 n 0000262203 00000 n 0000262245 00000 n 0000262447 00000 n 0000262489 00000 n 0000262691 00000 n 0000262733 00000 n 0000262935 00000 n 0000262977 00000 n 0000263179 00000 n 0000263221 00000 n 0000263423 00000 n 0000263465 00000 n 0000263667 00000 n 0000263709 00000 n 0000263911 00000 n 0000263953 00000 n 0000264155 00000 n 0000264318 00000 n 0000268504 00000 n 0000294898 00000 n 0000341922 00000 n 0000392330 00000 n 0000438629 00000 n 0000475824 00000 n 0000519401 00000 n 0000563854 00000 n 0000615947 00000 n 0000657316 00000 n 0000683626 00000 n 0000719213 00000 n 0000738819 00000 n 0000739152 00000 n 0000739415 00000 n 0000741526 00000 n 0000758330 00000 n 0000758471 00000 n 0000807389 00000 n 0000807560 00000 n 0000926145 00000 n 0000926259 00000 n 0000926455 00000 n 0000926569 00000 n 0000926765 00000 n 0000926879 00000 n 0000934340 00000 n 0000934286 00000 n 0000934394 00000 n 0000927567 00000 n 0000927681 00000 n 0000927877 00000 n 0000927991 00000 n 0000928186 00000 n 0000928300 00000 n 0000928496 00000 n 0000928610 00000 n 0000928806 00000 n 0000928920 00000 n 0000929116 00000 n 0000929230 00000 n 0000934486 00000 n 0000930407 00000 n 0000930520 00000 n 0000930715 00000 n 0000930828 00000 n 0000931023 00000 n 0000931136 00000 n 0000931331 00000 n 0000931444 00000 n 0000931639 00000 n 0000931752 00000 n 0000931947 00000 n 0000932148 00000 n 0000932284 00000 n 0000934596 00000 n 0000934797 00000 n 0000934708 00000 n 0000934760 00000 n 0000934877 00000 n 0000935196 00000 n trailer << /Size 195 /Root 194 0 R /Info 193 0 R /ID [ <4EE8F7AC436170971B9367FF6FFA3A80> <4EE8F7AC436170971B9367FF6FFA3A80> ] >> startxref 935361 %%EOF