{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 {PARA 0 "" 0 "" {TEXT -1 25 "Rarefaction wave or \"fan\"" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 527 "restart:\ntmax:=5;\nxmax:=5 ;\nnc:=15:\nnc0:=10:\ndx:=1/nc0:\ncrvs0:=[seq(plots[spacecurve]([-dx*i ,s,0],s=0..tmax,color=black,numpoints=2),i=0..nc0)]:\nnc1:=2*nc:\ndu:= 1/nc1:\ncrvs1:=[seq(plots[spacecurve]([du*i*s,s,du*i],s=0..min(tmax,xm ax/(du*i)),color=green,numpoints=2),i=1..nc1)]:\nnc2:=2*nc:\ndx:=1/nc2 :\ncrvs2:=[seq(plots[spacecurve]([i*xmax*dx+s,s,1],s=0..min(tmax,xmax- i*dx),color=blue,numpoints=2),i=0..nc2-1)]:\n\np:=plots[display](crvs0 ,crvs1,crvs2,axes=boxed,labels=[\"x\",\"t\",\"u\"],view=[-1..xmax,0..t max,0..1]):\nplots[display](p);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%% tmaxG\"\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%xmaxG\"\"&" }}{PARA 13 "" 1 "" {GLPLOT3D 482 482 482 {PLOTDATA 3 "6fo-%'CURVESG6$7$7%$\"\" !F)F(F(7%F($\"\"&F)F(-%'COLOURG6&%$RGBGF)F)F)-F$6$7$7%$!+++++5!#5F(F(7 %F5F+F(F--F$6$7$7%$!+++++?F7F(F(7%F=F+F(F--F$6$7$7%$!+++++IF7F(F(7%FDF +F(F--F$6$7$7%$!+++++SF7F(F(7%FKF+F(F--F$6$7$7%$!+++++]F7F(F(7%FRF+F(F --F$6$7$7%$!+++++gF7F(F(7%FYF+F(F--F$6$7$7%$!+++++qF7F(F(7%FjnF+F(F--F $6$7$7%$!+++++!)F7F(F(7%FaoF+F(F--F$6$7$7%$!+++++!*F7F(F(7%FhoF+F(F--F $6$7$7%$!\"\"F)F(F(7%F_pF+F(F--F$6$7$7%F(F($\"+LLLLL!#67%$\"+nmmm;F7F+ Ffp-F.6&F0F($\"*++++\"!\")F(-F$6$7$7%F(F($\"+nmmmmFhp7%$FgpF7F+FeqF\\q 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*sin(i*dt/2)^2])\n ,i=0..nsteps),\n \+ seq(\n plots[display](p,orientation=[theta0+deltatheta*sin(nste ps*dt/2)^2,\n phi0+deltaphi *si n(nsteps*dt/2)^2])\n ,i=0..pauseframes),\n \+ insequence=true,seq(args[k],k=6..nargs));\nend p roc:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "rock(p,-135,66,50,2 0);" }}{PARA 13 "" 1 "" {GLPLOT3D 387 387 387 {PLOTDATA 3 "6#-%(ANIMAT EG6do7go-%'CURVESG6$7$7%$\"\"!F-F,F,7%F,$\"\"&F-F,-%'COLOURG6&%$RGBGF- F-F--F(6$7$7%$!+++++5!#5F,F,7%F9F/F,F1-F(6$7$7%$!+++++?F;F,F,7%FAF/F,F 1-F(6$7$7%$!+++++IF;F,F,7%FHF/F,F1-F(6$7$7%$!+++++SF;F,F,7%FOF/F,F1-F( 6$7$7%$!+++++]F;F,F,7%FVF/F,F1-F(6$7$7%$!+++++gF;F,F,7%FgnF/F,F1-F(6$7 $7%$!+++++qF;F,F,7%F^oF/F,F1-F(6$7$7%$!+++++!)F;F,F,7%FeoF/F,F1-F(6$7$ 7%$!+++++!*F;F,F,7%F\\pF/F,F1-F(6$7$7%$!\"\"F-F,F,7%FcpF/F,F1-F(6$7$7% F,F,$\"+LLLLL!#67%$\"+nmmm;F;F/Fjp-F26&F4F,$\"*++++\"!\")F,-F(6$7$7%F, F,$\"+nmmmmF\\q7%$F[qF;F/FiqF`q-F(6$7$7%F,F,$\"+++++5F;7%$\"+++++]F;F/ 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