{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 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 3 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Warning" 2 7 1 {CSTYLE "" -1 -1 " " 0 1 0 0 255 1 0 0 0 0 0 0 1 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }} {PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has been r edefined\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "f := [cos(t), sin(t),t];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG7%-%$cosG6#%\"tG-% $sinGF(F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "fp := diff(f,t );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#fpG7%,$-%$sinG6#%\"tG!\"\"-%$ cosGF)\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "sigma := ex pand(f+s*fp);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&sigmaG7%,&*&-%$sin G6#%\"tG\"\"\"%\"sGF,!\"\"-%$cosGF*F,,&*&F/F,F-F,F,F(F,,&F-F,F+F," }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "a := 0; b := 2*Pi; c := 2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"bG,$*&\"\"#\"\"\"%#PiGF(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"cG\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "H1 := plot3d(sigma,t=a..b,s=0..c,color=blue):" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 47 "H2 := plot3d(sigma,t=a..b,s=-c..0,color=gree n):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 105 "n :=30: for i from \+ 0 to n do tmp := 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