{VERSION 4 0 "IBM INTEL NT" "4.0" } {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 "Maple 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 0 360 "plot3d([u-u^3/3+u*v ^2,v-v^3/3+v*u^2,u^2-v^2],u=-3..3,v=-3..3,scaling=constrained,lightmod el=light2,orientation=[89,80]);\nplot3d([u-u^3/3+u*v^2,v-v^3/3+v*u^2,u ^2-v^2],u=-3..3,v=-3..3,scaling=constrained,lightmodel=light2,orientat ion=[90,0]);\nplot3d([u-u^3/3+u*v^2,v-v^3/3+v*u^2,u^2-v^2],u=-3..3,v=- 3..3,scaling=constrained,lightmodel=light2,orientation=[1,87]);" }} {PARA 13 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 165 "r:=sqrt(3):plot3d([u-u^3/3+u*v^2,v-v^3/3+v*u^2,u^2-v^2],u=-r..r ,v=-r..r,scaling=constrained,lightmodel=light2,orientation=[89,80],sty le=patchnogrid,grid=[100,100]);\n" }}{PARA 13 "" 1 "" {TEXT -1 0 "" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 149 "n:=2;assume(u,real):assume (v,real):w:=u+I*v:x:=Re(expand(w-w^(2*n+1)/(2*n+1)));\ny:=Re(-I*expand (w+w^(2*n+1)/(2*n+1)));z:=Re(expand(2*w^(n+1)/(n+1)));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"nG\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>% \"xG,*%#u|irG\"\"\"*&#F'\"\"&F'*$)F&F*F'F'!\"\"*(\"\"#F')F&\"\"$F')%#v |irGF/F'F'*&F&F')F3\"\"%F'F-" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG ,*%#v|irG\"\"\"*&)%#u|irG\"\"%F'F&F'F'*(\"\"#F')F*F-F')F&\"\"$F'!\"\"* &#F'\"\"&F')F&F4F'F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"zG,&*$)%#u |irG\"\"$\"\"\"#\"\"#F)*(F,F*F(F*)%#v|irGF,F*!\"\"" }}}{EXCHG {PARA 11 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 149 "r:=1:plot3d([x,y,z],u=-r..r,v=-r..r,scaling=constrained,lightmodel=li ght2,orientation=[89,80],style=patchnogrid,orientation=[59,72],grid=[1 00,100]);\n" }}{PARA 13 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "6" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }