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" }}{PARA 0 "" 0 "" {TEXT -1 45 " \315\340\367\355\345\354 \361 \342\373\367\350\361\353\345\355\350\377 \352\356\375\364\364\350\366\350\345\355\362\356\342 \360\377\344\340 \324\363\360\374\345:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 64 "- \347 \340\357\350\370\345\354 \352\356\375\364\364\350\366\350\345\355\362 \373 \360\377\344\340 \324\363\360\374\345 \344\353\377 \364\363\355 \352\366\350\351 \355\340\367\340\353\374\355\373\365 \363\361\353\356 \342\350\351:" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "A:=n->2/L*in t(f1(x)*sin(Pi*n*x/L), x=0..L): A(n);" "6#C$>%\"AGf*6#%\"nG7\"6$%)oper atorG%&arrowG6\"*(\"\"#\"\"\"%\"LG!\"\"-%$intG6$*&-%#f1G6#%\"xGF0-%$si nG6#**%#PiGF0F(F0F:F0F1F2F0/F:;\"\"!F1F0F-F-F--F%6#F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$**\"\"%\"\"\",&F&!\"\")F(%#n|irGF&F&%#PiG!\"$F*F ,F(" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "B:=n->2/(Pi*n*a)*int(F 1(x)*sin(Pi*n*x/L), x=0..L): B(n);" "6#C$>%\"BGf*6#%\"nG7\"6$%)operato rG%&arrowG6\"*(\"\"#\"\"\"*(%#PiGF0F(F0%\"aGF0!\"\"-%$intG6$*&-%#F1G6# %\"xGF0-%$sinG6#**F2F0F(F0F " 0 " " {MPLTEXT 1 0 10 "`n:='n';`:" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "W:=(x,t)->sum((A(n)*cos(omegan*t)+B(n)*sin(omegan*t))*sin(Pi*n*x /L), n=1..N):W(x,t);" "6#C$>%\"WGf*6$%\"xG%\"tG7\"6$%)operatorG%&arrow G6\"-%$sumG6$*&,&*&-%\"AG6#%\"nG\"\"\"-%$cosG6#*&%'omeganGF9F)F9F9F9*& -%\"BG6#F8F9-%$sinG6#*&F>F9F)F9F9F9F9-FD6#**%#PiGF9F8F9F(F9%\"LG!\"\"F 9/F8;F9%\"NGF.F.F.-F%6$F(F)" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,&*(^#! \"\"\"\"\",*-%(polylogG6$\"\"$-%$expG6#*(%#PiGF',&%\"tGF'%\"xGF'F'^#F' F'F'-F*6$F,-F.6#*(F1F',&F3F'F4F&F'F5F'F&-F*6$F,-F.6#*(F%F'F1F'F;F'F'-F *6$F,-F.6#*(F%F'F1F'F2F'F&F'F1!\"$F'*(,*-F*6$F,,$F-F&F'-F*6$F,,$F8F&F& -F*6$F,,$F>F&F'-F*6$F,,$FCF&F&F'F1FFF5F'F'" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 309 48 "\310\362\340\352, \350\354\345\345\354 \360\345\370\345 \355\350\345 \344\350\364\364\345\360\345\355\366\350\340\353\374\355 \356\343\356 \363\360\340\342\355\345\355\350\377 " }{TEXT 308 2 "de" }{TEXT 310 21 " \342 \356\352\356\355\367\340\362\345\353\374\355\356 \354 \342\350\344\345" }{TEXT -1 1 ":" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "W(x,t):=simplify(W(x,t));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>-%\"WG6$%\"xG%\"tG*(,2-%(polylogG6$\"\"$-%$expG6#*(%#P iG\"\"\",&F(F4F'F4F4^#F4F4!\"\"-F,6$F.-F06#*(F3F4,&F(F4F'F7F4F6F4F4-F, 6$F.-F06#*(^#F7F4F3F4F=F4F7-F,6$F.-F06#*(FCF4F3F4F5F4F4-F,6$F.,$F/F7F4 -F,6$F.,$F:F7F7-F,6$F.,$F@F7F4-F,6$F.,$FFF7F7F4F3!\"$F6F4" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 22 "*) \302\342\345\344\345\354 \356\341\356 \347\355\340\367\345\355\350\345 " }{TEXT 357 2 "NN" }{TEXT -1 54 "- \351 \367\340\361\362\350\367\355\356\351 \361\363\354\354\373 \357 \356\353\363\367\345\355\355\356\343\356 \360\345\370\345\355\350\377 \+ \350 \347\340\357\350\370\345\354 \345\343\356 " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 84 "NN:=20: Wn:=(x,t)->sum(-4*(-1+(-1)^n)/Pi^3/n^ 3*cos(Pi*n*t)*sin(Pi*n*x),n = 1 .. 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