{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Map le Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "F:=(m,x)->(4/Pi)*(1/ (2*m+1)^2)*cos(2*m*x+x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"FGf*6$ %\"mG%\"xG6\"6$%)operatorG%&arrowGF),$**\"\"%\"\"\"%#PiG!\"\",&*&\"\"# F09$F0F0F0F0!\"#-%$cosG6#,&*(F5F0F6F09%F0F0F=F0F0F0F)F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "S:=(N,x)->Pi/2-sum(F(m,x),m=0..N): " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "opts:=axes=boxed,thickn ess=2:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "n:=6:plot(S(n,x), x=-2*Pi..3*Pi,opts);S(n,x);" }}{PARA 13 "" 1 "" {GLPLOT2D 484 137 137 {PLOTDATA 2 "6'-%'CURVESG6$7er7$$!3)****>YH&=$G'!#<$\"3UqFb%)\\gRX!#>7 $$!3!QHkk%3*>6'F*$\"39.uuyLfu:!#=7$$!3j(e3$)R'zSfF*$\"3a\"[D!*)zE2NF37 $$!3+[+MC5%=z&F*$\"3oWYzIC)3*[F37$$!3Z2:P]c)Gk&F*$\"3#z)4i;/0sjF37$$!3 WWwe`(p`Z&F*$\"3f,!4SK&*47)F37$$!3I#y.o&Q&yI&F*$\"3%[C.q`N6s*F37$$!3#p \\98F*7$$!3$=$z ^0kx-[F*$\"3!p*QHhFLx9F*7$$!3.`Y+c:&\\j%F*$\"3M$H*o$f'3^;F*7$$!3wY(HuV c$zWF*$\"3iDE*48EL!=F*7$$!3]S[&)=8wBVF*$\"3Q4Q=)Q%)p&>F*7$$!31C:*fe^E; %F*$\"3Fp'eyv^U7#F*7$$!3l2#GJ&=a,SF*$\"3%*4hwO?9zAF*7$$!3$=6Jp$>#\\$QF *$\"3#*R1mB&owW#F*7$$!3c:St??IoOF*$\"3mgBF]3`>EF*7$$!3A.8sck@-NF*$\"3E Nx4E=rsFF*7$$!3J\"f3F*38OLF*$\"3U!z8d!H\\dHF*7$$!3m\\'fT=62D$F*$\"3I;U .=XSYIF*7$$!3+32hv9HlJF*$\"3K>0Qp8q$4$F*7$$!3$HZt%[l$R9$F*$\"35S#[?7sh 4$F*7$$!3SPiL@;eAJF*$\"3I,=[X\"*e%4$F*7$$!3)=+*>%pE75$F*$\"3o+vr#3***) 3$F*7$$!3!owhqwr)zIF*$\"3)oQ]T]l&zIF*7$$!3v&H(y7>;PIF*$\"3O7u>5'\\.0$F *7$$!39DG^e?X%*HF*$\"3L&Q+ItH,,$F*7$$!3AwJ%pgwR%GF*$\"3AyH\"QRO\"QGF*7 $$!3uFNPb6]$p#F*$\"3AiTO=Al\"p#F*7$$!3)[()>pV,T_#F*$\"3D')4A%f*\\GDF*7 $$!3+AiY=&Q6^9?F*$\"3;zsfz,\\9?F*7$$!3!\\\")R(3Gf]=F*$\"3iWM0.H<[=F*7$$!3YM )f*yWn'o\"F*$\"3%*=^&>B)))*o\"F*7$$!3kvH'=$4#y`\"F*$\"3^1;=?;QO:F*7$$! 3!o6mZQn*)Q\"F*$\"3)4/zA)3@(Q\"F*7$$!3)4jW)>h'>@\"F*$\"3$4N:hU`^@\"F*7 $$!3;XJ#\\&['\\.\"F*$\"3[E]cK9SJ5F*7$$!3?V]Sic@]))F3$\"3i$GI#QJyh))F37 $$!3![jybx#y]tF3$\"31PF`zLb\"Q(F37$$!3:V(=%pee1cF3$\"3+48'Qq_+b&F37$$! 3]^)eK'*)QiQF3$\"3Ylht'*y\\MRF37$$!3,K_^e\"z%=BF3$\"3[3$\\lw#fzAF37$$! 37DhrPNpXxF-$\"3(QwH0yA$GrF-7$$!3Q_dGZ8IGcF-$\"3U#eWoDYt#fF-7$$!3jz`&o :44^$F-$\"3#zZwsek_3&F-7$$!3)o+Dk'p^$R\"F-$\"3oQdY(>^gi%F-7$$\"3feO0SA vQs!#?$\"3wuZuj$\\Hc%F-7$$\"3hQdV9uETGF-$\"3W7o:&4)y(*[F-7$$\"3M6h'[gf 'e\\F-$\"3wN^h_u)3i&F-7$$\"35%['H&z^g2(F-$\"3s2]k)4f:r'F-7$$\"3%o&os&) RW$>*F-$\"3)*pN4n9u$y&F37$$\"3'Q)>g?TFAvF3$\"35\"y@7i$**fvF37$$\"3;#4 2W:x_?*F3$\"3y'f\">S*F37$$\"3?5FhJ*z]2\"F*$\"3%oKs`$Rms5F*7$$\"3>6 ZyZ@jH7F*$\"3<#[(Hw))*HB\"F*7$$\"3y$Q0AfPjR\"F*$\"3%>[NyZ3VR\"F*7$$\"3 QcgiOI/j:F*$\"3S#y5*>Hpi:F*7$$\"3xAvmTJ?OF*$\"3iF*7$$\"3/^H=F'*4g?F*$\"3!4Zm-'RDi?F*7$$\"3!H\"pl 2g$3@#F*$\"3#Q%e8a*QA@#F*7$$\"3Axo7GajtBF*$\"3C^Px.*R%pBF*7$$\"3aTof[[ VODF*$\"3Dco/&=!QTDF*7$$\"3bpq()zDi/FF*$\"3!QXF`.g;q#F*7$$\"3c(Hd6J5G( GF*$\"3Km*RMvX0(GF*7$$\"3Ac)*\\_(z]&HF*$\"3uZ$3_3mn'HF*7$$\"3'[TUQ>\\t .$F*$\"3gNF!>[/00$F*7$$\"3S%p8X\"R[yIF*$\"3W$z@GKD)yIF*7$$\"3^t\\=N'=' >JF*$\"3oY,![W]S4$F*7$$\"3G81_&*f=SJF*$\"3#4CShy(='4$F*7$$\"3i_i&eN`2; $F*$\"3_5)\\fyjX4$F*7$$\"3Q#*=>;2K\"=$F*$\"3m%oi`%GA*3$F*7$$\"3;Kv_w!) )=?$F*$\"3+$*=00+J!3$F*7$$\"3#35df!z3hLF*$\"3=)fwYY9#GHF*7$$\"3]pmQNxG ?NF*$\"3e,U8PsFbFF*7$$\"3)3LSJ+_qp$F*$\"3WjaK\")=s\"f#F*7$$\"3G#*R*3F; Q(QF*$\"3(=#o\"QEHkS#F*7$$\"3))p!zt#okKSF*$\"3c$pC'Gbs\\AF*7$$\"3YZT'Q Qx9>%F*$\"3QbIl-o&\\4#F*7$$\"3aUah/H1hVF*$\"31[nEaN$)=>F*7$$\"3iPnOD%[ 1`%F*$\"3)*>CNwnHa['F*$\"3Ks,E^TK!*=F37$$\"3g4Q$G(*[[k'F*$\"3)*)pMcX$)*)p$F37$$\" 3wt9empt2oF*$\"3Z'=4V3N,?&F37$$\"3E#oAmY8V(pF*$\"3j9`Ng4r:pF37$$\"3v!* Qmm**)39(F*$\"3lK&G:NgJg)F37$$\"3d)4#=Hr31tF*$\"3`/:RIi>>5F*7$$\"3S1.q \"H%GruF*$\"3qQh$)G#G2>\"F*7$$\"3'R%4MFL3BwF*$\"3$30D1K-.M\"F*7$$\"3a \"e\")HO#)[x(F*$\"3A%=gy35))[\"F*7$$\"3/P\"Q$)=h)[zF*$\"3UYm[[f!)o;F*7 $$\"3n\"p%p8+%G7)F*$\"3`3T]n6iP=F*7$$\"3+H-6\\([%y#)F*$\"3E;6$oD,V*>F* 7$$\"3Jmd_%[dSV)F*$\"3+K*\\%30Va@F*7$$\"37B\\8_)o**f)F*$\"31i.T/d(GJ#F *7$$\"3%*zSu>-)ew)F*$\"3=jhHFv`%[#F*7$$\"35R&f$o&yY#*)F*$\"3aBV0D0XWEF *7$$\"3E)*\\(p\"pZ$3*F*$\"35)Rl^Ao>z#F*7$$\"3!*)\\_%Hu7a#*F*$\"31*)e2$ =SZ)HF*7$$\"3^***H>%zxC%*F*$\"3ukUu.m>'4$F*-%'COLOURG6&%$RGBG$\"*++++ \"!\")$\"\"!FjamFiam-%*THICKNESSG6#\"\"#-%+AXESLABELSG6$%\"xGQ!6\"-%*A XESSTYLEG6#%$BOXG-%%VIEWG6$;$!+3`=$G'!\"*$\"+izxC%*F_cm%(DEFAULTG" 1 2 0 1 10 2 2 9 1 2 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}} {PARA 12 "" 1 "" {XPPMATH 20 "6#,2*&\"\"#!\"\"%#PiG\"\"\"F(*(\"\"%F(F' F&-%$cosG6#%\"xGF(F&*&#F*\"\"*F(*&F'F&-F,6#,$*&\"\"$F(F.F(F(F(F(F&*&#F *\"#DF(*&F'F&-F,6#,$*&\"\"&F(F.F(F(F(F(F&*&#F*\"#\\F(*&F'F&-F,6#,$*&\" \"(F(F.F(F(F(F(F&*&#F*\"#\")F(*&F'F&-F,6#,$*&F1F(F.F(F(F(F(F&*&#F*\"$@ \"F(*&F'F&-F,6#,$*&\"#6F(F.F(F(F(F(F&*&#F*\"$p\"F(*&F'F&-F,6#,$*&\"#8F (F.F(F(F(F(F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,**&\"\"#!\"\"%#PiG\"\"\"F(*(\"\"%F(F'F&-%$c osG6#%\"xGF(F&*&#F*\"\"*F(*&F'F&-F,6#,$*&\"\"$F(F.F(F(F(F(F&*&#F*\"#DF (*&F'F&-F,6#,$*&\"\"&F(F.F(F(F(F(F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "4 0 0" 0 }{VIEWOPTS 1 1 0 2 1 1805 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }