{VERSION 2 3 "DEC ALPHA UNIX" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {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 -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 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 108 "A:=matrix(3,3,[-1/2 ,v/u,w/u,\n u/v,-1/2,w/v,\n u/w,v/w,-1/2 ]):\nM:=evalm(-2/3*A);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"MG-%'MAT RIXG6#7%7%#\"\"\"\"\"$,$*&%\"vGF+%\"uG!\"\"#!\"#F,,$*&%\"wGF+F0F1F27%, $*&F0F+F/F1F2F*,$*&F6F+F/F1F27%,$*&F0F+F6F1F2,$*&F/F+F6F1F2F*" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "linalg[eigenvects](M);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$7%!\"\"\"\"\"<#-%'VECTORG6#7%F%*&%\"uG F%%\"vGF$*&F,F%%\"wGF$7%F%\"\"#<$-F(6#7%,$*&F/F%F,F$F$\"\"!F%-F(6#7%,$ *&F-F%F,F$F$F%F8" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "linalg[ jordan](M,'P');" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'MATRIXG6#7%7%!\" \"\"\"!F)7%F)\"\"\"F)7%F)F)F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "print(P);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'MATRIXG6#7%7%#\" \"\"\"\"$,$*&,&%\"wG!\"$%\"uG\"\"#F)F0!\"\"F(,$*&F.F)F0F2F27%,$*&F0F)% \"vGF2F(,$F7#F2F*\"\"!7%,$*&F0F)F.F2F(,$*&,&F.F/F0F)F)F.F2F:F)" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "Test:=evalm(transpose(M)&*M- &*());" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%TestG-%'MATRIXG6#7%7%,(#! \")\"\"*\"\"\"*&%\"uG\"\"#%\"vG!\"##\"\"%F-*&F0F1%\"wGF3F4,(*&F2F.F0! \"\"#F3F-*&F0F.F2F:F;*(F0F.F7F3F2F.F4,(*&F7F.F0F:F;*(F0F.F2F3F7F.F4*&F 0F.F7F:F;7%F8,(*&F2F1F0F3F4F+F.*&F2F1F7F3F4,(*(F2F.F0F3F7F.F4*&F7F.F2F :F;*&F2F.F7F:F;7%F>FF,(*&F7F1F0F3F4*&F7F1F2F3F4F+F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "entries(Test);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6+7#,(*&%\"vG\"\"#%\"uG!\"##\"\"%\"\"*#!\")F,\"\"\"*&F&F' %\"wGF)F*7#,(*&F1F/F(!\"\"#F)F,*(F(F/F&F)F1F/F**&F(F/F1F5F67#,(*(F&F/F (F)F1F/F**&F1F/F&F5F6*&F&F/F1F5F6F97#,(*&F&F/F(F5F6*&F(F/F&F5F6*(F(F/F 1F)F&F/F*7#,(*&F1F'F(F)F**&F1F'F&F)F*F-F/F>F27#,(F-F/*&F(F'F&F)F**&F(F 'F1F)F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "test:=map(op,\{e ntries(Test)\});" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%testG<(,(*&%\"v G\"\"\"%\"uG!\"\"#!\"#\"\"**&F*F)F(F+F,*(F*F)%\"wGF-F(F)#\"\"%F.,(*(F( F)F*F-F1F)F2*&F1F)F(F+F,*&F(F)F1F+F,,(*&F(\"\"#F*F-F2#!\")F.F)*&F(F:F1 F-F2,(*&F1F:F*F-F2*&F1F:F(F-F2F;F),(F;F)*&F*F:F(F-F2*&F*F:F1F-F2,(*&F1 F)F*F+F,*(F*F)F(F-F1F)F2*&F*F)F1F+F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "convert(Test,set);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6 #<(,(*&%\"vG\"\"\"%\"uG!\"\"#!\"#\"\"**&F(F'F&F)F**(F(F'%\"wGF+F&F'#\" \"%F,,(*(F&F'F(F+F/F'F0*&F/F'F&F)F**&F&F'F/F)F*,(*&F&\"\"#F(F+F0#!\")F ,F'*&F&F8F/F+F0,(*&F/F8F(F+F0*&F/F8F&F+F0F9F',(F9F'*&F(F8F&F+F0*&F(F8F /F+F0,(*&F/F'F(F)F**(F(F'F&F+F/F'F0*&F(F'F/F)F*" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 22 "test:=map(numer,test);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%testG<(,(*&%\"vG\"\"#%\"wGF)!\"#*&%\"uGF)F*F)F+*&F-F )F(F)\"\"%,(F'F/F,F+F.F+,(F'F/F,!\")F.F/,(F'F/F,F/F.F2,(F'F2F,F/F.F/,( F'F+F,F/F.F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "sol:=[solve (test,\{u,v,w\})];" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$solG7)<%/%\"v G\"\"!/%\"wGF+/%\"uGF)<%/F+F)/F(F(F,<%F*/F(F+/F-F+<%F*F2/F-,$F+!\"\"<% F*/F(F6F3<%F*F9F5<%F'F//F-F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "sol:=remove(has,sol,0);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$so lG7&<%/%\"wGF(/%\"vGF(/%\"uGF(<%F'F)/F,,$F(!\"\"<%F'/F*F/F+<%F'F2F." } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "for i in sol do\n i,subs( i,eval(M))\nod;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$<%/%\"wGF%/%\"vGF%/ %\"uGF%-%'MATRIXG6#7%7%#\"\"\"\"\"$#!\"#F1F27%F2F/F27%F2F2F/" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$<%/%\"wGF%/%\"vGF%/%\"uG,$F%!\"\"-%'MATRIXG6 #7%7%#\"\"\"\"\"$#\"\"#F3F47%F4F1#!\"#F37%F4F7F1" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$<%/%\"wGF%/%\"vG,$F%!\"\"/%\"uGF%-%'MATRIXG6#7%7%#\"\" \"\"\"$#\"\"#F3#!\"#F37%F4F1F47%F6F4F1" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$<%/%\"wGF%/%\"vG,$F%!\"\"/%\"uGF(-%'MATRIXG6#7%7%#\"\"\"\"\"$#! \"#F3#\"\"#F37%F4F1F67%F6F6F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "12 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }