{VERSION 6 0 "IBM INTEL LINUX" "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 "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 "" {TEXT -1 16 "Komplekse r\370dder" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 19 "Vi vil fi nde z, n\345r" }}{PARA 0 "" 0 "" {TEXT -1 7 "z^n = a" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "a:=2^4*exp(4*I*Pi/6);" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%\"aG,&\"\")!\"\"*&^#F&\"\"\"\"\"$#F*\"\"#F*" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "n:=4;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"nG\"\"%" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 16 "Rad ius og vinkel" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "r:=sqrt(Re (a)^2 + Im(a)^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG\"#;" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "v:=argument(a);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"vG,$*(\"\"#\"\"\"\"\"$!\"\"%#PiGF(F(" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 25 "Formel fra formelsamling:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "z:=p-> r^(1/n) * exp(I * (v/ n + 2*p/n * Pi));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"zGf*6#%\"pG6 \"6$%)operatorG%&arrowGF(*&)%\"rG*&\"\"\"F0%\"nG!\"\"F0-%$expG6#*&,&*& %\"vGF0F1F2F0**\"\"#F09$F0F1F2%#PiGF0F0F0^#F0F0F0F(F(F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 20 "Pol\346r, og a+bi form:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "seq(polar(z(p)),p=0..n-1);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6&-%&polarG6$*$)\"#;#\"\"\"\"\"%F*,$*&\"\"'!\"\"%# PiGF*F*-F$6$F&,$*(\"\"#F*\"\"$F/F0F*F*-F$6$F&,$*(\"\"&F*F.F/F0F*F/-F$6 $F&,$*&F6F/F0F*F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "seq(z( p),p=0..n-1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&*&)\"#;#\"\"\"\"\"%F' ,&*&\"\"#!\"\"\"\"$#F'F+F'^#F.F'F'*&F$F',&#F'F+F,*&F/F'F-F.F'F'*&F$F', &*&F+F,F-F.F,^##F,F+F'F'*&F$F',&F.F'*&F7F'F-F.F'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "ptlist:=[seq(simplify(z(p)),p=0..n-1)];" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%'ptlistG7&,&*$\"\"$#\"\"\"\"\"#F*^#F *F*,&F*!\"\"*&F(F)F,F*F*,&F'F.^#F.F*,&F*F**&F1F*F(F)F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "plots[arrow](map(p->[[0,0],[Re(p),I m(p)]],ptlist));" }}{PARA 13 "" 1 "" {GLPLOT2D 471 471 471 {PLOTDATA 2 "6*-%)POLYGONSG6%7&7$$\"+++++D!#6$!+?q7IVF*7$$!+++++DF*$\"+?q7IVF*7$ $\"+Y1kg8!\"*$\"+-F,L%)!#57$$\"+Y1k59F5$\"+)H()pc(F87%7$$\"+Y1kN8F5$\" +/a-m))F87$$\"+330K " 0 "" {MPLTEXT 1 0 0 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "14 0 0" 0 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }