{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 } {CSTYLE "" -1 256 "Courier New CYR" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 257 "Courier" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 258 "Courier" 0 1 0 0 0 0 0 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 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 Out put" 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 "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 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 } {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 0 "" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 258 698 "i nterpol := proc( x :: Vector, # x values\n y :: Vec tor, # y values\n t :: name # variable name\n \+ )\n local n, p, A, a, b, j, k;\n\n # get the number of points\n n := LinearAlgebra:-Dimension(x); \n\n # open the space \+ for the matrix/vector\n A := Matrix(n,n); \n b := Vector(n);\n\n \+ # assign entries\n for j from 1 to n do\n b[j] := y[j];\n \+ for k from 1 to n do\n A[j,k] := x[j]^(k-1)\n end do\n \+ end do;\n\n # solve the linear system\n a := LinearAlgebra:-Linea rSolve(A,b);\n\n # construct the output polynomial as a sum\n p := 0;\n for k from 1 to n do\n p := p + a[k]*t^(k-1);\n end do; \n\n return p;\n\nend proc;" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }{MPLTEXT 1 0 26 "read(\"c:/304/interp.t xt\"):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "x := Vector[row]( [0.5,1.0,1.5,2]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG-%'RTABLEG6 %\"*)G1c9-%'VECTORG6#7&$\"\"&!\"\"$\"#5F/$\"#:F/\"\"#&%'VectorG6#%$row G" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "y := Vector[row]([0.15 ,0.37,0.5,0.54]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG-%'RTABLEG6 %\"*[*pe9-%'VECTORG6#7&$\"#:!\"#$\"#PF/$\"\"&!\"\"$\"#aF/&%'VectorG6#% $rowG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "p := interpol(x,y, t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG,*$\"+++++;!#5!\"\"*&$\"3 u+++++++r!#=\"\"\"%\"tGF.F.*&$\"3?+++++++=F-F.)F/\"\"#F.F)*&$\"3))35( \\M/%o@!#NF.)F/\"\"$F.F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "plot1 := plot(t^2*exp(-t),t=0.5..2):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "plot2 := plot(p,t=0.5..2):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "plots[display](\{plot1,plot2\});" }}{PARA 13 "" 1 "" {GLPLOT2D 396 271 271 {PLOTDATA 2 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"6#>%\"qG,*&%\"aG6#\"\"\"F)*&&F'6#\" \"#F)%\"tGF)F)*&&F'6#\"\"$F))F.F-F)F)*&&F'6#\"\"%F))F.F2F)F)" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "plot(q,t=0.5..2);" }}{PARA 13 "" 1 "" {GLPLOT2D 396 239 239 {PLOTDATA 2 "6%-%'CURVESG6$7S7$$\"3++ ++++++]!#=$\"3m*************\\\"F*7$$\"3E++]7t&pK&F*$\"3'*\\%4h:j8n\"F *7$$\"3W+](=7T9h&F*$\"3S%Ru,JMt\"=F*7$$\"3s***\\(=HPJfF*$\"3WV%*oZM,y> F*7$$\"3S++DJaU`iF*$\"3@B=&H7Og8#F*7$$\"3?+]P%GZRd'F*$\"3%Q!puz/g*G#F* 7$$\"3i**\\(=276(oF*$\"3qaW:6.nGCF*7$$\"3=+](o**3)yrF*$\"3c2it7!>$pDF* 7$$\"3-+](ofHq\\(F*$\"3![p0Q'G>6FF*7$$\"3Z+]Pf'HU\"yF*$\"3OUg5DP)*[GF* 7$$\"3j****\\7*309)F*$\"3WWT\\\"RRp)HF*7$$\"3f++Dce*yU)F*$\"3$G<*yVjF0 JF*7$$\"3s****\\([D9v)F*$\"3yNi)4.Q\\B$F*7$$\"3Y++]iNGw!*F*$\"3#4m])42 MhLF*7$$\"3o****\\7XM*Q*F*$\"3#)\\b8x$e&zMF*7$$\"3]+](o%Qjt'*F*$\"3G[* >)yX&Qe$F*7$$\"3,++DO\"o6+\"!#<$\"3Ri))p?g3/PF*7$$\"3,+++&>0)H5Fep$\"3 2@=8`\">F!QF*7$$\"3++v=-p6j5Fep$\"3p06k>%QP\"RF*7$$\"3'*****\\2Mg#4\"F ep$\"3R**[IAin3SF*7$$\"3#**\\(=xZ&\\7\"Fep$\"3n*oSn1P#4TF*7$$\"3#**\\i :$4wb6Fep$\"3kclU=E\\,UF*7$$\"3/+](=#R!z=\"Fep$\"3])o@c`4TH%F*7$$\"3;+ v$4A@u@\"Fep$\"31Mh6'p%)eP%F*7$$\"3++]i:'f#\\7Fep$\"3#yv?R,u0Y%F*7$$\" 3)**\\(of2L#G\"Fep$\"3%=&zuu%yYa%F*7$$\"3)**\\7yG>6J\"Fep$\"3wDc4Fho9Y F*7$$\"3.+](oo6AM\"Fep$\"3k*f@X*\\%po%F*7$$\"31++]xJLu8Fep$\"3%f&4DJ0% zv%F*7$$\"3'***\\P*yddS\"Fep$\"3OBKEs8!Q#[F*7$$\"3***\\(=c\"F ep$\"3Y7Mp];Z)4&F*7$$\"33++vQ(zSf\"Fep$\"3'p6P3w.S9&F*7$$\"3!**\\(=-,F C;Fep$\"3#\\!Hyo;Y$=&F*7$$\"3-+v$4tFel\"Fep$\"3f<8[N!*>@_F*7$$\"3#**** \\73\"o'o\"Fep$\"3C'*4:^\"GYD&F*7$$\"3$**\\(oz;)*=y\"Fep$\"3b))=Yl :>O`F*7$$\"34+v=(4bM\"=Fep$\"3alO!*)G;gN&F*7$$\"32++]xlWU=Fep$\"3ml`b' zt5P&F*7$$\"3/+]i&3uc(=Fep$\"3]wT17,h%Q&F*7$$\"3++++lJR0>Fep$\"3q5$)on )\\LR&F*7$$\"3.+v=-*zq$>Fep$\"3_Fb5?f;*R&F*7$$\"3/+D\"G:3u'>Fep$\"3Q#= 8M " 0 "" {MPLTEXT 1 0 4 "p-q;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&$\"3))35(\\M/%o@!#N\"\"\")%\"tG\"\"$F(!\"\"" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 94 "x := \+ Vector([0.9,1.3,1.9,2.1,2.6,3.0,3.9,4.4,4.7,5,6,7,8,9.2,10.5,11.3,11.6 ,12,12.6,13,13.3]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 106 "y : = Vector([1.3,1.5,1.85,2.1,2.6,2.7,2.4,2.15,2.05,2.1,2.25,2.3,2.25,1.9 5,1.4,0.9,0.7,0.6,0.5,0.4,0.25]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "read(\"c:/304/cubicspline.txt\"):" }}{PARA 7 "" 1 "" {TEXT -1 69 "Warning, `a` is implicitly declared local to procedure `C ubicSpline`\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "p := Cubic Spline(x,y,t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG-%*PIECEWISEG6 67$,*&%\"aG6$\"\"\"F-F-*&&F+6$F-\"\"#F-,&%\"tGF-$\"\"*!\"\"F6F-F-*&&F+ 6$F-\"\"$F-)F2F1F-F-*&&F+6$F-\"\"%F-)F2F:F-F-2F3$\"#8F67$,*&F+6$F1F-F- *&&F+6$F1F1F-,&F3F-$FCF6F6F-F-*&&F+6$F1F:F-)FKF1F-F-*&&F+6$F1F?F-)FKF: F-F-2F3$\"#>F67$,*&F+6$F:F-F-*&&F+6$F:F1F-,&F3F-$FWF6F6F-F-*&&F+6$F:F: 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