{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 }{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 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "fs:=x->(2*L/Pi)*(sin (Pi*x/L)-1/2*sin(2*Pi*x/L)+(1/3)*sin(3*Pi*x/L));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "L:=Pi;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "plot(fs(x), x=-3*Pi..3*Pi);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 86 "fs:=x->(2*L/Pi)*(sin(Pi*x/L)-1/2*sin(2*Pi*x/L)+(1/3)* sin(3*Pi*x/L)-1/4*sin(4*Pi*x/L));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "plot(fs(x), x=-3*Pi..3*Pi);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 104 "fs:=x->(2*L/Pi)*(sin(Pi*x/L)-1/2*sin(2*Pi*x/L)+ (1/3)*sin(3*Pi*x/L)-1/4*sin(4*Pi*x/L+1/5*sin(5*Pi*x/L)));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "plot(fs(x), x=-3*Pi..3*Pi);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 122 "fs:=x->(2*L/Pi)*(sin(Pi*x/L )-1/2*sin(2*Pi*x/L)+(1/3)*sin(3*Pi*x/L)-1/4*sin(4*Pi*x/L)+1/5*sin(5*Pi *x/L)-1/6*sin(6*Pi*x/L));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "plot(fs(x), x=-3*Pi..3*Pi);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 158 "fs:=x->(2*L/Pi)*(sin(Pi*x/L)-1/2*sin(2*Pi*x/L)+(1/3)*sin(3*Pi *x/L)-1/4*sin(4*Pi*x/L)+1/5*sin(5*Pi*x/L)-1/6*sin(6*Pi*x/L)+1/7*sin(7* Pi*x/L)-1/8*sin(8*Pi*x/L));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "plot(fs(x), x=-3*Pi..3*Pi);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "L=Pi;" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 98 "tot := 0:\nfor i from 1 to \+ 100 do\n tot :=tot + (-1)^(i+1)* (2*L/Pi)*((1/i)*sin(i*Pi*x/L));end \+ do:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "fs:=unapply(tot,x,L) :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "plot(fs(x,Pi), x=-3*Pi ..3*Pi);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 15 "Another example" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 93 "tot := 0:\nfor i from 1 by 2 to 100 do\n \+ tot :=tot + (400/Pi)*((1/i)*sin(i*Pi*x/L));end do:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "fs:=unapply(tot,x,L):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "plot(fs(x,1), x=-1..1);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "23" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }