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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 1183523, 62281]*) (*NotebookOutlinePosition[ 1184510, 62312]*) (* CellTagsIndexPosition[ 1184466, 62308]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["\<\ Transformations, flows, and Arnold's cat\ \>", "Subtitle"], Cell[CellGroupData[{ Cell[TextData[{ " ", StyleBox["Some linear transformations", FontSize->24, FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}] }], "Subsubsection", FontFamily->"Roman", FontSize->18], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .47619 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.47619 0.0113379 0.47619 [ [ 0 0 0 0 ] [ 1 .47619 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .47619 L 0 .47619 L closepath clip newpath % Start of user PostScript /mathtops { gsave MBeginOrig moveto MEndOrig currentpoint grestore } bind def /MAtocoords { mathtops 4 2 roll mathtops 4 copy pop pop 3 -1 roll sub /arry exch def exch sub /arrx exch def arrx dup mul arry dup mul add sqrt /arrl exch def translate } bind def /MAarrowhead1 { gsave MAtocoords arrl 0. eq { 0 0 Mdot } { [ arrx arrl div arry arrl div -1 arry mul arrl div arrx arrl div 0 0 ] concat -0.05 0.0125 moveto 0 0 lineto -0.05 -0.0125 lineto fill -0.05 0.0125 moveto 0 0 lineto -0.05 -0.0125 lineto -0.05 0.0125 lineto stroke } ifelse grestore } def % End of user PostScript % Start of sub-graphic p 0.0238095 0.0113379 0.477324 0.464853 MathSubStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .5 g .5 Mabswid .5 .5 m .75 .5 L s % Start of user PostScript 0 0 1. 0 MAarrowhead1 % End of user PostScript 0 g .5 .5 m .5 .75 L s % Start of user PostScript 0 0 0 1. 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