(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.2' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. 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[ 57617, 1404]*) (*NotebookOutlinePosition[ 141083, 4245]*) (* CellTagsIndexPosition[ 140936, 4237]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["\<\ \[LightBulb]\[LightBulb]\[LightBulb] DYNAMO 4 \[LightBulb]\ \[LightBulb]\[LightBulb] Phase Diagrams for Evolutionary Dynamics\ \>", "Title", CellFrame->True, TextAlignment->Center, FontSize->32, FontColor->GrayLevel[1], Background->RGBColor[0, 0, 0.500008]], Cell[CellGroupData[{ Cell["User-defined Parameters", "Subtitle", CellDingbat->None], Cell[TextData[StyleBox["When you have finished specifying paramters, click on \ the rightmost vertical bar and press Enter (or Shift-Enter) to run the \ program.", FontSize->14]], "Text", Evaluatable->False, FontFamily->"Palatino"], Cell[BoxData[ \(\(Off[General::spell1];\)\)], "Input", CellOpen->False, InitializationCell->True], Cell[CellGroupData[{ Cell[TextData[StyleBox["Choice of game", "Section"]], "Section", Evaluatable->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[BoxData[ RowBox[{ RowBox[{"A", "=", RowBox[{"(", GridBox[{ {"0", \(-1\), "1", "1"}, {"1", "0", \(-1\), \(-1\)}, {\(-1\), "1", "0", "0"}, {\(-1\), "1", "0", "0"} }], ")"}]}], " ", ";"}]], "Input"], Cell[CellGroupData[{ Cell[TextData[StyleBox["Nonlinear population games", FontSlant->"Italic"]], "Text", Evaluatable->False, FontFamily->"Palatino"], Cell[TextData[{ "To choose a nonlinear game, set nonlineargame = 1 and define F[x_] as you \ like. The argument of F[.] must be a single element in ", Cell[BoxData[ \(TraditionalForm\`R\^4\)]], "(i.e., F[x_] or F[{x_,y_,z_,t_}], not F[x_,y_,z_,t_]). The default value \ of F[x_] is A.x, which is the payoff vector field for the normal form game ", "A", "." }], "Text", Evaluatable->False, ImageRegion->{{0, 1}, {0, 1}}, FontFamily->"Palatino"], Cell[BoxData[{ \(\(nonlineargame\ = \ 0\ ;\)\), "\[IndentingNewLine]", \(\(F[x_]\ := \ A . x\ ;\)\)}], "Input"] }, Closed]], Cell["\<\ Give the strategies one-character names to be printed on the phase diagram. \ If you use more than one character for each name or if you change the \ viewpoint from the default value, you may need to adjust the positions in \ which in the names are printed in the phase diagrams.\ \>", "Text", FontFamily->"Palatino"], Cell[BoxData[{ \(\(strategy[1] = "\"\ ;\)\ \), "\[IndentingNewLine]", \(\(strategy[2] = "\"\ ;\)\ \), "\[IndentingNewLine]", \(\(strategy[3] = "\"\ ;\)\), "\[IndentingNewLine]", \(\(strategy[4] = "\"\ ;\)\)}], "Input"], Cell[CellGroupData[{ Cell[TextData[StyleBox["Payoff related definitions", FontSlant->"Italic"]], "Text"], Cell[CellGroupData[{ Cell["Population Average Payoff", "Text", InitializationCell->True], Cell[BoxData[ \(\(Clear[Fbar]\ ;\)\)], "Input", InitializationCell->True], Cell[BoxData[ \(\(Fbar[x_, F_] := \[Sum]\+\(i = 1\)\%4 x\[LeftDoubleBracket] i\[RightDoubleBracket]\ \(F[x]\)\[LeftDoubleBracket] i\[RightDoubleBracket]\ ;\)\)], "Input", InitializationCell->True] }, Closed]], Cell[CellGroupData[{ Cell["Excess payoff", "Text", InitializationCell->True], Cell[BoxData[{ \(\(\(Clear[Fhat]\ ;\)\(\[IndentingNewLine]\) \)\), "\[IndentingNewLine]", \(\(Fhat[x_, F_] := F[x]\ - \ Fbar[x, F]\ ;\)\)}], "Input", InitializationCell->True] }, Closed]], Cell[CellGroupData[{ Cell["Positive part of the excess payoff", "Text", InitializationCell->True], Cell[BoxData[ \(\(Clear[Fhatplus]\ ;\)\)], "Input", InitializationCell->True], Cell[BoxData[ \(\(Fhatplus[x_, F_] := \ {Max[ 0, \(Fhat[x, F]\)\[LeftDoubleBracket]1\[RightDoubleBracket]], Max[0, \(Fhat[x, F]\)\[LeftDoubleBracket]2\[RightDoubleBracket]], Max[0, \(Fhat[x, F]\)\[LeftDoubleBracket]3\[RightDoubleBracket]], Max[0, \(Fhat[x, F]\)\[LeftDoubleBracket]4\[RightDoubleBracket]]}\ ;\)\)], \ "Input", InitializationCell->True] }, Closed]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Choice of dynamic", "Section", Evaluatable->False, ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ "Choose a dynamic here. To use one of the ", ButtonBox["built-in dynamics", ButtonData:>"dynamicslibrary", ButtonStyle->"Hyperlink"], ", select the rhs of \"Dynamic = (.)\" (excluding the semicolon) and then \ press the button corresponding to the dynamic you desire. If you use Logit, \ be sure to enter a value for the noise parameter \[Eta]. Making \[Eta] very \ small generates close approximations of the best response dynamic. ", " If you use Projection and if you are not using ", StyleBox["Mathematica", FontSlant->"Italic"], " version 5 or above, do not take initial condtions on the boundary. ", "EP (= excess payoff dynamic), (PC = pairwise comparison), and ConvexComb \ must be specified in greater detail below." }], "Text", FontFamily->"Palatino"], Cell[CellGroupData[{ Cell[TextData[StyleBox["Noise level for the logit dynamic", FontSlant->"Italic"]], "Text", FontFamily->"Palatino"], Cell[BoxData[ \(\(\[Eta]\ = \ .001;\)\)], "Input"] }, Closed]], Cell[BoxData[GridBox[{ { RowBox[{ ButtonBox["Replicator"], " "}], RowBox[{ ButtonBox[\(Logit[\[Eta]]\)], " "}], RowBox[{ ButtonBox["BNN"], " "}], RowBox[{ ButtonBox["PD"], " "}], RowBox[{ ButtonBox["Projection", ButtonStyle->"Paste"], " "}], RowBox[{ ButtonBox["EP"], " "}], RowBox[{ ButtonBox["PC"], " "}], "", ButtonBox["ConvexComb"]} }, RowSpacings->0, ColumnSpacings->0, GridDefaultElement:>ButtonBox[ "\\[Placeholder]"]]], "Input", Active->True, Evaluatable->False], Cell[BoxData[ \(\(Dynamic = Replicator\ ;\)\)], "Input"], Cell[CellGroupData[{ Cell[TextData[StyleBox["Definition of convex combination of two dynamics", FontSlant->"Italic"]], "Text", FontFamily->"Palatino"], Cell["\<\ To define the combined dynamic, specify the two dynamics to be combined, the \ weight (between 0 and 1) on the first dynamic The last line of code formally \ defines the combined dynamic according to your specificcations.\ \>", "Text", FontFamily->"Palatino"], Cell[BoxData[{ \(\(dyn[1] = Replicator\ ;\)\), "\[IndentingNewLine]", \(\(dyn[2] = BNN\ ;\)\), "\[IndentingNewLine]", \(\(\(weight[1] = .9\ ;\)\(\[IndentingNewLine]\) \)\), "\[IndentingNewLine]", \(\(ConvexComb[x_, F_] := weight[1]\ \ \(dyn[1]\)[x, F] + \ \((1 - weight[1])\)\ \(dyn[2]\)[x, F]\ ;\)\)}], "Input", InitializationCell->True] }, Closed]], Cell[CellGroupData[{ Cell[TextData[StyleBox["Definition of Dynamics", FontSlant->"Italic"]], "Text", InitializationCell->True, CellTags->"dynamicslibrary"], Cell[CellGroupData[{ Cell["Replicator Dynamic", "Subsubsection", InitializationCell->True, CellTags->"dynamicslibrary"], Cell[BoxData[ \(\(Clear[Replicator]\ ;\)\)], "Input", InitializationCell->True, CellTags->"dynamicslibrary"], Cell[BoxData[ \(\(Replicator[x_, F_] := {x\[LeftDoubleBracket]1\[RightDoubleBracket]\ \ \(Fhat[x, F]\)\[LeftDoubleBracket]1\[RightDoubleBracket], x\[LeftDoubleBracket]2\[RightDoubleBracket]\ \ \(Fhat[x, F]\)\[LeftDoubleBracket]2\[RightDoubleBracket], x\[LeftDoubleBracket]3\[RightDoubleBracket]\ \ \(Fhat[x, F]\)\[LeftDoubleBracket]3\[RightDoubleBracket], x\[LeftDoubleBracket]4\[RightDoubleBracket]\ \ \(Fhat[x, F]\)\[LeftDoubleBracket]4\[RightDoubleBracket]}\ ;\)\)], \ "Input", InitializationCell->True, CellTags->"dynamicslibrary"] }, Closed]], Cell[CellGroupData[{ Cell["Logit Dynamic", "Subsubsection", InitializationCell->True, CellTags->"dynamicslibrary"], Cell[BoxData[ \(\(Clear[Logit]\ ;\)\)], "Input", InitializationCell->True, CellTags->"dynamicslibrary"], Cell[BoxData[ \(\(\(Logit[\[Epsilon]_]\)[x_, F_] := {\[ExponentialE]\^\(\(F[x]\)\[LeftDoubleBracket]1\ \[RightDoubleBracket]\/\[Epsilon]\)\/\(\[Sum]\+\(i = 1\)\%4 \[ExponentialE]\^\ \(\(F[x]\)\[LeftDoubleBracket]i\[RightDoubleBracket]\/\[Epsilon]\)\) - x\[LeftDoubleBracket]1\[RightDoubleBracket], \ \[ExponentialE]\^\(\(F[x]\)\[LeftDoubleBracket]2\[RightDoubleBracket]\/\ \[Epsilon]\)\/\(\[Sum]\+\(i = 1\)\%4 \[ExponentialE]\^\(\(F[x]\)\ \[LeftDoubleBracket]i\[RightDoubleBracket]\/\[Epsilon]\)\) - x\[LeftDoubleBracket]2\[RightDoubleBracket], \ \[ExponentialE]\^\(\(F[x]\)\[LeftDoubleBracket]3\[RightDoubleBracket]\/\ \[Epsilon]\)\/\(\[Sum]\+\(i = 1\)\%4 \[ExponentialE]\^\(\(F[x]\)\ \[LeftDoubleBracket]i\[RightDoubleBracket]\/\[Epsilon]\)\) - x\[LeftDoubleBracket]3\[RightDoubleBracket], \ \[ExponentialE]\^\(\(F[x]\)\[LeftDoubleBracket]4\[RightDoubleBracket]\/\ \[Epsilon]\)\/\(\[Sum]\+\(i = 1\)\%4 \[ExponentialE]\^\(\(F[x]\)\ \[LeftDoubleBracket]i\[RightDoubleBracket]\/\[Epsilon]\)\) - x\[LeftDoubleBracket]4\[RightDoubleBracket]}\ ;\)\)], "Input", InitializationCell->True, CellTags->"dynamicslibrary"] }, Closed]], Cell[CellGroupData[{ Cell["BNN dynamic", "Subsubsection", InitializationCell->True, CellTags->"dynamicslibrary"], Cell[BoxData[ \(\(Clear[BNN]\ ;\)\)], "Input", InitializationCell->True, CellTags->"dynamicslibrary"], Cell[BoxData[ \(\(BNN[x_, F_] := {\(Fhatplus[x, F]\)\[LeftDoubleBracket]1\[RightDoubleBracket] - x\[LeftDoubleBracket]1\[RightDoubleBracket]\ \(\[Sum]\+\(i = \ 1\)\%4\( Fhatplus[x, F]\)\[LeftDoubleBracket] i\[RightDoubleBracket]\), \(Fhatplus[x, F]\)\[LeftDoubleBracket]2\[RightDoubleBracket] - x\[LeftDoubleBracket]2\[RightDoubleBracket]\ \(\[Sum]\+\(i = \ 1\)\%4\( Fhatplus[x, F]\)\[LeftDoubleBracket] i\[RightDoubleBracket]\), \(Fhatplus[x, F]\)\[LeftDoubleBracket]3\[RightDoubleBracket] - x\[LeftDoubleBracket]3\[RightDoubleBracket]\ \(\[Sum]\+\(i = \ 1\)\%4\( Fhatplus[x, F]\)\[LeftDoubleBracket] i\[RightDoubleBracket]\), \(Fhatplus[x, F]\)\[LeftDoubleBracket]4\[RightDoubleBracket] - x\[LeftDoubleBracket]4\[RightDoubleBracket]\ \(\[Sum]\+\(i = \ 1\)\%4\( Fhatplus[x, F]\)\[LeftDoubleBracket] i\[RightDoubleBracket]\)}\ ;\)\)], "Input", InitializationCell->True, CellTags->"dynamicslibrary"] }, Closed]], Cell[CellGroupData[{ Cell[TextData[StyleBox["Excess payoff dynamic", FontFamily->"Verdana"]], "Subsubsection", FontFamily->"Times New Roman"], Cell["\<\ Here you can specify the vector field sigmatilde that defines the excess \ payoff dynamic. This definition should be stated in terms of the excess \ payoff vector Fhat[x,F], which is defined as Fhat[x,F] = F[x] - Fbar[x,F]. \ When computing rest points, the program assumes that sigmatilde is Lipschitz \ continuous and satisfies acuteness, so that the rest points of the dynamic \ are the Nash equilibria of the underlying game.\ \>", "Text", FontFamily->"Palatino"], Cell[BoxData[ \(\(sigmatilde[x_, F_] := \ {\((Max[ 0, \(Fhat[x, F]\)\[LeftDoubleBracket]1\[RightDoubleBracket]])\)^2, \ \[IndentingNewLine]\((Max[ 0, \(Fhat[x, F]\)\[LeftDoubleBracket]2\[RightDoubleBracket]])\)^2, \ \((Max[0, \(Fhat[x, F]\)\[LeftDoubleBracket]3\[RightDoubleBracket]])\)^2, \ \((Max[0, \(Fhat[x, F]\)\[LeftDoubleBracket]4\[RightDoubleBracket]])\)^2};\)\)\ ], "Input", InitializationCell->True], Cell[CellGroupData[{ Cell["The dynamic itself is defined in here.", "Text", FontFamily->"Palatino"], Cell[BoxData[ \(\(\(\[IndentingNewLine]\)\(EP[x_, F_] := {\(sigmatilde[x, F]\)\[LeftDoubleBracket]1\[RightDoubleBracket] - x\[LeftDoubleBracket]1\[RightDoubleBracket]\ \(\[Sum]\+\(i = \ 1\)\%4\( sigmatilde[x, F]\)\[LeftDoubleBracket] i\[RightDoubleBracket]\), \(sigmatilde[x, F]\)\[LeftDoubleBracket]2\[RightDoubleBracket] - x\[LeftDoubleBracket]2\[RightDoubleBracket]\ \(\[Sum]\+\(i = \ 1\)\%4\( sigmatilde[x, F]\)\[LeftDoubleBracket] i\[RightDoubleBracket]\), \(sigmatilde[x, F]\)\[LeftDoubleBracket]3\[RightDoubleBracket] - x\[LeftDoubleBracket]3\[RightDoubleBracket]\ \(\[Sum]\+\(i = \ 1\)\%4\( sigmatilde[x, F]\)\[LeftDoubleBracket] i\[RightDoubleBracket]\), \(sigmatilde[x, F]\)\[LeftDoubleBracket]4\[RightDoubleBracket] - x\[LeftDoubleBracket]4\[RightDoubleBracket]\ \(\[Sum]\+\(i = \ 1\)\%4\( sigmatilde[x, F]\)\[LeftDoubleBracket] i\[RightDoubleBracket]\)}\ ;\)\)\)], "Input", InitializationCell->True] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Projection Dynamic", "Subsubsection", InitializationCell->True, CellTags->"dynamicslibrary"], Cell[BoxData[{ \(\(\(closetozero = 10^\((\(-8\))\)\ ;\)\(\[IndentingNewLine]\) \)\), "\[IndentingNewLine]", \(\(\(\[Pi]bir[{aa_, bb_, cc_, dd_}, F_] := Evaluate[ Which[aa > closetozero && bb > closetozero\ && \ cc > closetozero\ , \ F[{aa, bb, cc, dd}], \ aa > closetozero\ && \ bb > closetozero\ && \ cc \[LessEqual] \ closetozero\ && \ dd > closetozero, \ {\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket]}, aa > closetozero\ && \ bb \[LessEqual] closetozero\ && \ cc > \ closetozero\ && \ dd > closetozero, {\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket]}, aa \[LessEqual] \ closetozero\ && bb > closetozero\ && \ cc > \ closetozero\ && \ dd > closetozero, {\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket]}, aa > closetozero\ && bb > closetozero\ && \ cc \[LessEqual] \ closetozero\ && \ dd \[LessEqual] closetozero\ && \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket] \ \[GreaterEqual] \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket], \ {\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket]}, aa > closetozero\ && bb > closetozero\ && \ cc \[LessEqual] \ closetozero\ && \ dd \[LessEqual] closetozero\ && \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket] < \ \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket], {\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket]}, aa > closetozero\ && bb \[LessEqual] \ closetozero\ && \ cc \[LessEqual] \ closetozero\ && \ dd > closetozero\ && \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket] \ \[GreaterEqual] \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket], \ {\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket]}, aa > closetozero\ && bb \[LessEqual] \ closetozero\ && \ cc \[LessEqual] \ closetozero\ && \ dd > closetozero\ && \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket] < \ \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket], {\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket]}, aa \[LessEqual] \ closetozero\ && bb \[LessEqual] \ closetozero\ && \ cc\ > closetozero\ && \ dd > closetozero\ && \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket] \ \[GreaterEqual] \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \ {\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket]}, aa \[LessEqual] \ closetozero\ && bb \[LessEqual] \ closetozero\ && \ cc > \ closetozero\ && \ dd > closetozero\ && \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket] < \ \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], {\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket]}, aa > \ closetozero\ && bb \[LessEqual] \ closetozero\ && \ cc\ > closetozero\ && \ dd \[LessEqual] \ closetozero\ && \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket] \ \[GreaterEqual] \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \ {\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket]}, aa > \ closetozero\ && bb \[LessEqual] \ closetozero\ && \ cc > \ closetozero\ && \ dd \[LessEqual] \ closetozero\ && \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket] < \ \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], {\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket]}, aa \[LessEqual] \ closetozero\ && bb > \ closetozero\ && \ cc\ > closetozero\ && \ dd \[LessEqual] \ closetozero\ && \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket] \ \[GreaterEqual] \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \ {\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket]}, aa \[LessEqual] \ closetozero\ && bb > \ closetozero\ && \ cc > \ closetozero\ && \ dd \[LessEqual] \ closetozero\ && \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket] < \ \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], {\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket]}, aa \[LessEqual] \ closetozero\ && bb > \ closetozero\ && \ cc\ \[LessEqual] closetozero\ && \ dd > \ closetozero\ && \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket] \ \[GreaterEqual] \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \ {\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket]}, aa \[LessEqual] \ closetozero\ && bb > \ closetozero\ && \ cc\ \[LessEqual] closetozero\ && \ dd > \ closetozero\ && \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket] < \ \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], {\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket]}, aa > closetozero\ && \ bb \[LessEqual] \ closetozero\ && \ cc\ \[LessEqual] closetozero\ && \ dd \[LessEqual] \ closetozero\ , Join[{\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket]}, Sort[{\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket]}, Greater]], aa \[LessEqual] \ closetozero\ && \ bb > closetozero\ && \ cc\ \[LessEqual] closetozero\ && \ dd \[LessEqual] \ closetozero\ , Join[{\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket]}, Sort[{\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket]}, Greater]], aa \[LessEqual] \ closetozero\ && \ bb \[LessEqual] \ closetozero\ && \ cc\ > closetozero\ && \ dd \[LessEqual] \ closetozero\ , Join[{\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket]}, Sort[{\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket]}, Greater]], aa\ \[LessEqual] \ closetozero\ && \ bb \[LessEqual] \ closetozero\ && \ cc\ \[LessEqual] closetozero\ && \ dd > \ closetozero\ , Join[{\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket]}, Sort[{\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \ \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket]}, Greater]]]\ ]\ ;\)\(\[IndentingNewLine]\) \)\), "\[IndentingNewLine]", \(\(\(InUse[{aa_, bb_, cc_, dd_}] := \ Evaluate[ If[aa > closetozero, 1, 0] + If[bb > closetozero, 1, 0] + If[cc > closetozero, 1, 0] + If[dd > closetozero, 1, 0]]\ ;\)\(\[IndentingNewLine]\) \)\), "\[IndentingNewLine]", \(\(\(sstar[{aa_, bb_, cc_, dd_}, F_] := \ \((\ s = InUse[{aa, bb, cc, dd}]\ ; \ Do[\ Evaluate[If[s \[GreaterEqual] 4, s = 4; \ Break[], s = s]]; Evaluate[ If[1\/s\ \(\[Sum]\+\(j = 1\)\%s\( \[Pi]bir[{aa, bb, cc, dd}, F]\)\[LeftDoubleBracket] j\[RightDoubleBracket]\)\ \[LessEqual] \ \(\[Pi]bir[{aa, bb, cc, dd}, F]\)\[LeftDoubleBracket] s + 1\[RightDoubleBracket]\ , s = s + 1]], \ {i, 4}]; Return[s])\)\ ;\)\(\[IndentingNewLine]\) \)\), "\[IndentingNewLine]", \(\(Projection[{aa_, bb_, cc_, dd_}, F_] := {Evaluate[ If[\((aa > closetozero\ || \ \((\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket] \ \[GreaterEqual] \((\(1\/sstar[{aa, bb, cc, dd}, F]\) \((\[Sum]\+\(j = 1\)\%\(sstar[{aa, bb, \ cc, dd}, F]\)\(\[Pi]bir[{aa, bb, cc, dd}, F]\)\[LeftDoubleBracket]j\ \[RightDoubleBracket])\))\))\))\), \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]1\[RightDoubleBracket] - \ \((\(1\/sstar[{aa, bb, cc, dd}, F]\) \((\[Sum]\+\(j = 1\)\%\(sstar[{aa, bb, cc, \ dd}, F]\)\(\[Pi]bir[{aa, bb, cc, dd}, F]\)\[LeftDoubleBracket]j\[RightDoubleBracket])\))\ \), 0]], Evaluate[ If[\((bb > closetozero\ || \ \((\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket] \ \[GreaterEqual] \ \((\(1\/sstar[{aa, bb, cc, dd}, F]\) \((\[Sum]\+\(j = 1\)\%\(sstar[{aa, bb, \ cc, dd}, F]\)\(\[Pi]bir[{aa, bb, cc, dd}, F]\)\[LeftDoubleBracket]j\ \[RightDoubleBracket])\))\))\))\), \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]2\[RightDoubleBracket] - \ \((\(1\/sstar[{aa, bb, cc, dd}, F]\) \((\[Sum]\+\(j = 1\)\%\(sstar[{aa, bb, cc, \ dd}, F]\)\(\[Pi]bir[{aa, bb, cc, dd}, F]\)\[LeftDoubleBracket] j\[RightDoubleBracket])\))\), 0]], Evaluate[ If[\((cc > closetozero\ || \ \((\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket] \ \[GreaterEqual] \ \((\(1\/sstar[{aa, bb, cc, dd}, F]\) \((\[Sum]\+\(j = 1\)\%\(sstar[{aa, bb, \ cc, dd}, F]\)\(\[Pi]bir[{aa, bb, cc, dd}, F]\)\[LeftDoubleBracket] j\[RightDoubleBracket])\))\))\))\), \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]3\[RightDoubleBracket] - \ \((\(1\/sstar[{aa, bb, cc, dd}, F]\) \((\[Sum]\+\(j = 1\)\%\(sstar[{aa, bb, cc, \ dd}, F]\)\(\[Pi]bir[{aa, bb, cc, dd}, F]\)\[LeftDoubleBracket] j\[RightDoubleBracket])\))\), 0]], Evaluate[ If[\((dd > closetozero\ || \ \((\(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket] \ \[GreaterEqual] \ \((\(1\/sstar[{aa, bb, cc, dd}, F]\) \((\[Sum]\+\(j = 1\)\%\(sstar[{aa, bb, \ cc, dd}, F]\)\(\[Pi]bir[{aa, bb, cc, dd}, F]\)\[LeftDoubleBracket] j\[RightDoubleBracket])\))\))\))\), \(F[{aa, bb, cc, dd}]\)\[LeftDoubleBracket]4\[RightDoubleBracket] - \ \((\(1\/sstar[{aa, bb, cc, dd}, F]\) \((\[Sum]\+\(j = 1\)\%\(sstar[{aa, bb, cc, \ dd}, F]\)\(\[Pi]bir[{aa, bb, cc, dd}, F]\)\[LeftDoubleBracket]j\[RightDoubleBracket])\))\ \), 0]]}\ ;\)\)}], "Input", InitializationCell->True] }, Closed]], Cell[CellGroupData[{ Cell["Pairwise Comparison Dynamic", "Subsubsection"], Cell[BoxData[ \(\(Clear[PC]\ ;\)\)], "Input", InitializationCell->True, CellTags->"dynamicslibrary"], Cell[BoxData[ \(\(Clear[rho1];\)\)], "Input", InitializationCell->True, CellTags->"dynamicslibrary"], Cell[BoxData[ \(\(rho1[x_, F_] := {{0, Max[\(F[x]\)\[LeftDoubleBracket]2\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]1\[RightDoubleBracket], 0], Max[\(F[x]\)\[LeftDoubleBracket]3\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]1\[RightDoubleBracket], 0], Max[\(F[x]\)\[LeftDoubleBracket]4\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]1\[RightDoubleBracket], 0]}, {Max[\(F[ x]\)\[LeftDoubleBracket]1\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]2\[RightDoubleBracket], 0], 0, Max[\(F[x]\)\[LeftDoubleBracket]3\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]2\[RightDoubleBracket], 0], Max[\(F[x]\)\[LeftDoubleBracket]4\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]2\[RightDoubleBracket], 0]}, {Max[\(F[ x]\)\[LeftDoubleBracket]1\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]3\[RightDoubleBracket], 0], Max[\(F[x]\)\[LeftDoubleBracket]2\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]3\[RightDoubleBracket], 0], 0, Max[\(F[x]\)\[LeftDoubleBracket]4\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]3\[RightDoubleBracket], 0]}, {Max[\(F[ x]\)\[LeftDoubleBracket]1\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]4\[RightDoubleBracket], 0], Max[\(F[x]\)\[LeftDoubleBracket]2\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]4\[RightDoubleBracket], 0], Max[\(F[x]\)\[LeftDoubleBracket]3\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]4\[RightDoubleBracket], 0], 0}};\)\)], "Input", InitializationCell->True, CellTags->"dynamicslibrary"], Cell[BoxData[ \(\(PC[x_, F_] := Transpose[rho1[x, F]] . \ x - {{x\[LeftDoubleBracket]1\[RightDoubleBracket], 0, 0, 0}, {0, x\[LeftDoubleBracket]2\[RightDoubleBracket], 0, 0}, {0, 0, x\[LeftDoubleBracket]3\[RightDoubleBracket], 0}, {0, 0, 0, x\[LeftDoubleBracket]4\[RightDoubleBracket]}} . rho1[x, F] . {1, 1, 1, 1}\ ;\)\)], "Input", InitializationCell->True, CellTags->"dynamicslibrary"] }, Closed]], Cell[CellGroupData[{ Cell["Pairwise Difference Dynamic", "Subsubsection", InitializationCell->True, CellTags->"dynamicslibrary"], Cell[BoxData[ \(\(Clear[PD]\ ;\)\)], "Input", InitializationCell->True, CellTags->"dynamicslibrary"], Cell[BoxData[ \(\(Clear[rho];\)\)], "Input", InitializationCell->True, CellTags->"dynamicslibrary"], Cell[BoxData[ \(\(rho[x_, F_] := {{0, Max[\(F[x]\)\[LeftDoubleBracket]2\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]1\[RightDoubleBracket], 0], Max[\(F[x]\)\[LeftDoubleBracket]3\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]1\[RightDoubleBracket], 0], Max[\(F[x]\)\[LeftDoubleBracket]4\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]1\[RightDoubleBracket], 0]}, {Max[\(F[ x]\)\[LeftDoubleBracket]1\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]2\[RightDoubleBracket], 0], 0, Max[\(F[x]\)\[LeftDoubleBracket]3\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]2\[RightDoubleBracket], 0], Max[\(F[x]\)\[LeftDoubleBracket]4\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]2\[RightDoubleBracket], 0]}, {Max[\(F[ x]\)\[LeftDoubleBracket]1\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]3\[RightDoubleBracket], 0], Max[\(F[x]\)\[LeftDoubleBracket]2\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]3\[RightDoubleBracket], 0], 0, Max[\(F[x]\)\[LeftDoubleBracket]4\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]3\[RightDoubleBracket], 0]}, {Max[\(F[ x]\)\[LeftDoubleBracket]1\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]4\[RightDoubleBracket], 0], Max[\(F[x]\)\[LeftDoubleBracket]2\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]4\[RightDoubleBracket], 0], Max[\(F[x]\)\[LeftDoubleBracket]3\[RightDoubleBracket] - \(F[ x]\)\[LeftDoubleBracket]4\[RightDoubleBracket], 0], 0}};\)\)], "Input", InitializationCell->True, CellTags->"dynamicslibrary"], Cell[BoxData[ \(\(PD[x_, F_] := Transpose[rho[x, F]] . \ x - {{x\[LeftDoubleBracket]1\[RightDoubleBracket], 0, 0, 0}, {0, x\[LeftDoubleBracket]2\[RightDoubleBracket], 0, 0}, {0, 0, x\[LeftDoubleBracket]3\[RightDoubleBracket], 0}, {0, 0, 0, x\[LeftDoubleBracket]4\[RightDoubleBracket]}} . rho[x, F] . {1, 1, 1, 1}\ ;\)\)], "Input", InitializationCell->True, CellTags->"dynamicslibrary"] }, Closed]], Cell[CellGroupData[{ Cell["Other", "Subsubsection", InitializationCell->True, CellTags->"dynamicslibrary"], Cell["\<\ Define any other dynamic you want to use. When defining be sure you follow \ same style with previously defined dynamics. Otherwise, you may need to do \ major changes in the program.\ \>", "Text", InitializationCell->True, CellTags->"dynamicslibrary"], Cell[BoxData[ \(\(\(Other[x_, F_] := Null;\)\(\ \)\( (*Should\ be\ defined*) \)\)\)], "Input", InitializationCell->True, CellTags->"dynamicslibrary"] }, Closed]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Specification of solution trajectories", "Section", ImageRegion->{{0, 1}, {0, 1}}], Cell[CellGroupData[{ Cell["Instructions for specification of solution trajectories", "SmallText"], Cell[TextData[{ StyleBox["data", FontWeight->"Bold"], " is specfies the solution trajectories to be drawn. ex,: data= {{{0, 0, 0, \ 1}, 20, Hue[1]}, {{1, 0, 0, 0}, 20, Hue[.7]}, {{0, 1, 0, 0}, 20, \ Hue[.3]},{{0, 0, 1, 0}, 20, Hue[.15]}}. The first entry in the example {{0, \ 0, 0, 1}, 20, Hue[1]} is for the first solution trajectory. {0, 0, 0, 1} is \ an initial condition for the differential equation. 20 determines the time \ span over which which the differential equational will be solved, [0, 20]. \ Hue[1] determines in which color the solution trajectory will be drawn, in \ this case red. Any color command can be used, i.e. GrayLevel, Hue, RGBColor. \ This structure must be followed in order for the program run correctly. If \ only one solution trajectory is needed, do not foget the outermost brackets, \ i.e. { {{0, 0, 0, 1}, 20, Hue[1]} }. \n", StyleBox["Dotdata", FontWeight->"Bold"], " specifies dots to be drawn at rest points, etc. ex.: dotdata = {{.01, \ {1/3, 1/3, 1/6, 1/6}, GrayLevel[.2]}, {...........}}. creates a spehere with \ radius .0, centered at {1/3, 1/3, 1/6, 1/6} and with color GrayLevel[.2 ]. \ The color that you will see is influenced by a number of factors. (Simulated \ illumination determines the shading of polygons in three\[Hyphen]dimensional \ pictures. The shading of a particular polygon is computed as a sum of \ contributions from point light sources, plus a contribution from ambient \ light. ) \n", StyleBox["ppoints", FontWeight->"Bold"], " determines the number of line segments used when drawing the solution \ trajectories. Increase its value if the trajectories have kinks. \nUse ", StyleBox["vpoint", FontWeight->"Bold"], " to change the vantage point from which the diagram is viewed." }], "Text"] }, Closed]], Cell[BoxData[{ \(\(data = \ {{{ .02, .02, .46, .5}, 4, {Hue[1], Thickness[ .006]}}, {{ .01, .01, .68, .3}, 4, {Hue[ .7], Thickness[ .006]}}, {{ .01, .01, .28, .7}, 4, {Hue[ .7], Thickness[ .006]}}}\ ;\)\[IndentingNewLine]\), "\ \[IndentingNewLine]", \(\(dotdata = {{ .01, {1/3, 1/3, 1/6, 1/6}, GrayLevel[ .2]}}\ ;\)\[IndentingNewLine]\), \ "\[IndentingNewLine]", \(\(ppoints = 500\ ;\)\[IndentingNewLine]\), "\[IndentingNewLine]", \(\(vpoint = {1.0, \ .800, \ 0}\ ;\)\)}], "Input", ImageRegion->{{0, 1}, {0, 1}}, CellTags->"degisken"] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell["Program Core", "Subtitle", CellDingbat->None], Cell[CellGroupData[{ Cell["Solving the differential equation", "Section", ImageRegion->{{0, 1}, {0, 1}}], Cell[BoxData[ \(\(time1 = TimeUsed[]\ ;\)\)], "Input"], Cell[BoxData[ \(\(x[t] = {x1[t], x2[t], x3[t], 1 - x1[t] - x2[t] - x3[t]}\ ;\)\)], "Input", ImageRegion->{{0, 1}, {0, 1}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"G", "=", RowBox[{"Table", "[", RowBox[{ RowBox[{"NDSolve", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["x1", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "\[Equal]", \(\(Dynamic[x[t], F]\)\[LeftDoubleBracket]1\[RightDoubleBracket]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["x2", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "\[Equal]", \(\(Dynamic[x[t], F]\)\[LeftDoubleBracket]2\[RightDoubleBracket]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["x3", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "\[Equal]", \(\(Dynamic[x[t], F]\)\[LeftDoubleBracket]3\[RightDoubleBracket]\)}], ",", \(x1[ 0] \[Equal] \(data\[LeftDoubleBracket]i, 1\[RightDoubleBracket]\)\[LeftDoubleBracket]1\ \[RightDoubleBracket]\), ",", \(x2[ 0] \[Equal] \(data\[LeftDoubleBracket]i, 1\[RightDoubleBracket]\)\[LeftDoubleBracket]2\ \[RightDoubleBracket]\), ",", \(x3[ 0] \[Equal] \(data\[LeftDoubleBracket]i, 1\[RightDoubleBracket]\)\[LeftDoubleBracket]3\ \[RightDoubleBracket]\)}], "}"}], ",", \({x1, x2, x3}\), ",", \({t, 0, data\[LeftDoubleBracket]i, 2\[RightDoubleBracket]}\), ",", \(SolveDelayed \[Rule] \ True\)}], "]"}], ",", \({i, \(Dimensions[ data]\)\[LeftDoubleBracket]1\[RightDoubleBracket]}\)}], "]"}]}], " ", ";"}]], "Input", ImageRegion->{{0, 1}, {0, 1}}], Cell[BoxData[ \(Part::"pspec" \(\(:\)\(\ \)\) "Part specification \!\(j\) is neither an integer nor a list of \ integers."\)], "Message"], Cell[BoxData[ \(Part::"pspec" \(\(:\)\(\ \)\) "Part specification \!\(K$7\) is neither an integer nor a list of \ integers."\)], "Message"], Cell[BoxData[ \(Part::"pspec" \(\(:\)\(\ \)\) "Part specification \!\(1 + \(\(If[\(\(\(\(\(\(x1[t]\)\) > 1\/100000000\ \)\), 1, 0\)\)]\)\) + \(\(If[\(\(\(\(\(\(x2[t]\)\) > 1\/\(1 \(\(\ \[LeftSkeleton] 7 \[RightSkeleton]\)\) 0\)\)\), 1, 0\)\)]\)\) + \(\(If[\(\(\(\ \(\(\(1 - \(\(x1[t]\)\) - \(\(x2[t]\)\) - \(\(x3[t]\)\)\)\) > \ 1\/100000000\)\), 1, 0\)\)]\)\) + \(\(If[\(\(\(\(\(\(x3[t]\)\) > 1\/100000000\ \)\), 1, 0\)\)]\)\)\) is neither an integer nor a list of integers."\)], \ "Message"], Cell[BoxData[ \(General::"stop" \(\(:\)\(\ \)\) "Further output of \!\(Part :: \"pspec\"\) will be suppressed during \ this calculation."\)], "Message"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Plotting the solutions", "Section", ImageRegion->{{0, 1}, {0, 1}}], Cell[CellGroupData[{ Cell["Drawing Triangle and Dots", "Subsection", ImageRegion->{{0, 1}, {0, 1}}], Cell["\<\ The cells belongs to this group is for drawing white area around the simplex \ and for putting dots on the simplex.\ \>", "Text", ImageRegion->{{0, 1}, {0, 1}}], Cell[BoxData[{ \(\(simplex = Graphics3D[{{Dashing[{ .02, .01}], Line[{{0, 0, 0}, {1\/2, \@3\/6, \@6\/3}}]}, {Line[{{1\/2, \@3\/6, \ \@6\/3}, {1, 0, 0}}]}, {Dashing[{ .02, .01}], Line[{{1, 0, 0}, {0, 0, 0}}]}, {Dashing[{ .02, .01}], Line[{{0, 0, 0}, {1\/2, \@3\/2, 0}}]}, Line[{{1\/2, \@3\/2, 0}, {1, 0, 0}}], Line[{{1\/2, \@3\/2, 0}, {1\/2, \@3\/6, \@6\/3}}], {EdgeForm[], Polygon[{{0 - .0015, 0 - .0015, 0 - .0015}, {1 + .0015, 0 - .0015, 0 - .0015}, {1\/2, \@3\/6 - .0015, \@6\/3 - .0015}}]}, \ {EdgeForm[], Polygon[{{0 - .0015, 0 - .0015, 0 - .0015}, {1 + .0015, 0 - .0015, 0 - .0015}, {1\/2, \@3\/2 + .0015, 0 - .0015}}]}, {EdgeForm[], Polygon[{{1\/2, \@3\/6 + .0015, \@6\/3 + .0015}, {1\/2, \ \@3\/2 + .0015, 0 - .0015}, {0 - .0015, 0 - .0015, 0 - .0015}}]}}]\ ;\)\[IndentingNewLine]\), "\ \[IndentingNewLine]", \(\(kureler = Table[Graphics3D[{SurfaceColor[\ dotdata[\([i, 3]\)]\ ], EdgeForm[], TranslateShape[Sphere[dotdata[\([i, 1]\)], 20, 15], \ new[dotdata[\([i, 2]\)]]\ ]\ }]\ , {i, \(Dimensions[ dotdata]\)[\([1]\)]}]\ ;\)\[IndentingNewLine]\)}], "Input", ImageRegion->{{0, 1}, {0, 1}}] }, Closed]], Cell[CellGroupData[{ Cell["Drawing Solutions to Diff.Eqn's if there is no contour plot", \ "Subsection", ImageRegion->{{0, 1}, {0, 1}}], Cell[BoxData[ \(\(e = Table[ParametricPlot3D[ Evaluate[ Join[new[{x1[t], x2[t], x3[t]}] /. \[InvisibleSpace]G[\([i, 1]\)], {data[\([i, 3]\)]}]], {t, 0, data[\([i, 2]\)]}, \ DisplayFunction\ \[Rule] \ Identity, \ Boxed \[Rule] \ False, \ Axes \[Rule] \ False, \ PlotPoints \[Rule] \ ppoints], {i, \(Dimensions[data]\)[\([1]\)]}]\ ;\)\)], "Input", ImageRegion->{{0, 1}, {0, 1}}] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Generating the output notebook", "Section"], Cell[BoxData[{ \( (*\(\(--\(--\(--\(--\(--Redirecting\)\)\)\)\)\ output\ to\ a\ new\ \ \(\(\(notebook--\)--\)--\)\)\(-\)*) \[IndentingNewLine]\($nb = NotebookCreate[ WindowSize \[Rule] \ {650, 550}]\ ;\)\), "\[IndentingNewLine]", \(\($DisplayFunction = NotebookWrite[$nb, \ Cell[GraphicsData["\", \ DisplayString[#]], "\"]] &\ ;\)\), "\ \[IndentingNewLine]", \(\($Post = If[# =!= \ Null, NotebookWrite[$nb, Cell[BoxData[ MakeBoxes[#, StandardForm]], "\"]]] &\ ;\)\[IndentingNewLine]\ \), "\[IndentingNewLine]", \(\(Unprotect[Print]\ ;\)\), "\[IndentingNewLine]", \(\(Print[x_]\ := \ NotebookWrite[$nb, Cell[BoxData[ MakeBoxes[x, StandardForm]]]]\ ;\)\), "\[IndentingNewLine]", \(\(Print[x__]\ := Map[Print, {x}]\ ;\)\), "\[IndentingNewLine]", \(\(Protect[Print]\ ;\)\[IndentingNewLine]\), "\[IndentingNewLine]", \(\(Unprotect[StylePrint]\ ;\)\), "\[IndentingNewLine]", \(\(StylePrint[x_]\ := \ NotebookWrite[$nb, Cell[BoxData[ ToBoxes[x]], "\"]]\ ;\)\), "\[IndentingNewLine]", \(\(StylePrint[x_, rest___]\ := \ NotebookWrite[$nb, Cell[BoxData[ToBoxes[x]], rest]]\ ;\)\), "\[IndentingNewLine]", \(\(Protect[ StylePrint];\)\[IndentingNewLine]\[IndentingNewLine] (*\(--\(--\(--\(\ --\(--\(--\(--\(--Redirecting\)\)\)\)\)\)\)\)\ code\ \(\(\(\(\(ends--\)--\)\ --\)--\)--\) - \(--\(---\)\)*) \[IndentingNewLine]\)}], "Input", CellOpen->False, CellTags->"printingcell"], Cell[BoxData[ \(\(NotebookWrite[$nb, Cell[BoxData[ ToBoxes["\<\[LightBulb]\[LightBulb]\[LightBulb] DYNAMO \ \[LightBulb]\[LightBulb]\[LightBulb]\>"]], "\", \ FontColor \[Rule] \ Hue[ .19], Background \[Rule] \ Hue[ .72], TextAlignment \[Rule] \ Center, CellFrame \[Rule] \ True]]\ ;\)\)], "Input", CellOpen->False], Cell[CellGroupData[{ Cell["Generating output related to game properties", "Text"], Cell[BoxData[{ \(\(Print[ StyleForm[ ColumnForm[{"\<\>", "\"}], "\"]]\ ;\)\ \[IndentingNewLine]\), "\[IndentingNewLine]", \(\(If[nonlineargame\ \[Equal] \ 0, Print[SequenceForm["\< Normal form game: \>", \ {strategy[1], strategy[2], strategy[3], strategy[4]} // TableForm, A // MatrixForm]]]\ ;\)\[IndentingNewLine]\), \ "\[IndentingNewLine]", \(\(Print[ SequenceForm["\< Payoff vector field: \>", "\", {x, y, z, t} // MatrixForm, \ "\< = \>", F[{x, y, z, t}] // MatrixForm]]\ ;\)\)}], "Input"] }, Closed]], Cell[CellGroupData[{ Cell["Generating output related to dynamic properties", "Text"], Cell[CellGroupData[{ Cell[BoxData[{ \(\(Print[ StyleForm[ ColumnForm[{"\<\>", "\"}], "\"]]\ ;\)\ \[IndentingNewLine]\), "\[IndentingNewLine]", \(\(Print[ SequenceForm["\< Name of dynamic: \>", \ \ Dynamic\ ]]\ ;\)\n\), "\ \[IndentingNewLine]", \(\(Print["\< Law of motion: \>", \ SequenceForm[\ \*"\"\< \!\(V\_F\)\>\"", {x, y, z, t} // MatrixForm, \ "\< = \>", Simplify[Dynamic[{x, y, z, t}, F]] // MatrixForm\ ]\ ];\)\ \ \)}], "Input"], Cell[BoxData[ \(Part::"pspec" \(\(:\)\(\ \)\) "Part specification \!\(j\) is neither an integer nor a list of \ integers."\)], "Message"], Cell[BoxData[ \(Part::"pspec" \(\(:\)\(\ \)\) "Part specification \!\(K$451\) is neither an integer nor a list of \ integers."\)], "Message"], Cell[BoxData[ \(Part::"pspec" \(\(:\)\(\ \)\) "Part specification \!\(1 + \(\(If[\(\(\(\(t > 1\/100000000\)\), 1, 0\)\ \)]\)\) + \(\(If[\(\(\(\(x > 1\/100000000\)\), 1, 0\)\)]\)\) + \ \(\(If[\(\(\(\(y > 1\/100000000\)\), 1, 0\)\)]\)\) + \(\(If[\(\(\(\(z > \ 1\/100000000\)\), 1, 0\)\)]\)\)\) is neither an integer nor a list of \ integers."\)], "Message"], Cell[BoxData[ \(General::"stop" \(\(:\)\(\ \)\) "Further output of \!\(Part :: \"pspec\"\) will be suppressed during \ this calculation."\)], "Message"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Generating phase diagram on simplex without contour plot", "Text"], Cell[BoxData[ \(\(Show[e, kureler, simplex, Graphics3D[{Text[strategy[1], {0.5, \@3\/6, \@6\/3 + .02}], Text[strategy[2], {\(- .03\), .02, .02}], Text[strategy[3], {1.02, 0, 0}], Text[strategy[4], { .52, \@3\/2 + .03, .015}]}], PlotRange \[Rule] \ {{\(- .04\), 1.04}, {\(- .04\), \@3\/2 + .04}, {\(- .04\), \@6\/3 + .04}}, DisplayFunction\ \[Rule] \ $DisplayFunction, AspectRatio \[Rule] \ Automatic, \ ViewPoint \[Rule] \ vpoint, DefaultFont \[Rule] {"\", 10}, AmbientLight \[Rule] \ Hue[ .55], LightSources \[Rule] \ {{{ .5, 1, 1}, RGBColor[1, 0, 0]}, {{1, .8, .5}, RGBColor[0, 1, 0]}, {{1, 1, 1}, RGBColor[0, 0, 1]}}]\ ;\)\)], "Input"] }, Closed]], Cell[BoxData[ \(\(Print[ SequenceForm["\", If[Quotient[TimeUsed[]\ - \ time1, 60] > 9, Quotient[TimeUsed[]\ - \ time1, 60], PaddedForm[Quotient[TimeUsed[]\ - \ time1, 60], 1, NumberPadding \[Rule] \ {"\<0\>", "\<0\>"}, SignPadding \[Rule] \ False]], "\<:\>", If[Round[Mod[TimeUsed[]\ - \ time1, 60]] > 9, Round[Mod[TimeUsed[]\ - \ time1, 60]], PaddedForm[Round[Mod[TimeUsed[]\ - \ time1, 60]], 1, NumberPadding \[Rule] \ {"\<0\>", "\<0\>"}, SignPadding \[Rule] \ False]]]]\ ;\)\)], "Input", CellOpen->False], Cell[BoxData[{ \(\[IndentingNewLine] (*\(\(--\(--\(--\(--\(--Returning\)\)\)\)\)\ to\ \ original\ output\ \(\(\(production--\)--\)--\)\)\(-\)*) \[IndentingNewLine]\ \[IndentingNewLine]\($DisplayFunction = CellPrint[\ Cell[GraphicsData["\", \ DisplayString[#]], "\"]] &\ ;\)\), "\ \[IndentingNewLine]", \(\($Post = If[# =!= \ Null, CellPrint[ Cell[BoxData[ MakeBoxes[#, StandardForm]], "\"]]] &\ ;\)\[IndentingNewLine]\ \), "\[IndentingNewLine]", \(\(Unprotect[Print]\ ;\)\), "\[IndentingNewLine]", \(\(Print[x_]\ := \ CellPrint[ Cell[BoxData[ MakeBoxes[x, StandardForm]]]]\ ;\)\), "\[IndentingNewLine]", \(\(Print[x__]\ := Map[Print, {x}]\ ;\)\), "\[IndentingNewLine]", \(\(Protect[Print]\ ;\)\[IndentingNewLine]\), "\[IndentingNewLine]", \(\(Unprotect[StylePrint]\ ;\)\), "\[IndentingNewLine]", \(\(StylePrint[x_]\ := \ CellPrint[ Cell[BoxData[ ToBoxes[x]], "\"]]\ ;\)\), "\[IndentingNewLine]", \(\(StylePrint[x_, rest___]\ := \ CellPrint[ Cell[BoxData[ToBoxes[x]], rest]]\ ;\)\), "\[IndentingNewLine]", \(\(Protect[ StylePrint];\)\[IndentingNewLine]\[IndentingNewLine] (*\(--\(--\(--\(\ --\(--\(--\(--\(--code\)\)\)\)\)\)\)\)\ \(\(\(\(\(ends--\)--\)--\)--\)--\) - \ \(--\(---\)\)*) \)}], "Input", CellOpen->False] }, Closed]] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell["Initialization Cells; Procedures Library", "Subtitle", InitializationCell->True], Cell[CellGroupData[{ Cell["Preliminary Definitions and Calculations", "Section", InitializationCell->True], Cell[BoxData[ \(<< Graphics`Shapes`\)], "Input", InitializationCell->True], Cell[BoxData[ \(\(Clear[AA]\ \ ;\)\)], "Input", InitializationCell->True], Cell[BoxData[ RowBox[{ RowBox[{"AA", "=", TagBox[ RowBox[{ RowBox[{"(", GridBox[{ {"0", \(-\(1\/2\)\), \(1\/2\)}, {\(-\(\@3\/3\)\), \(-\(\@3\/2\)\), \(-\(\@3\/2\)\)}, {\(\@6\/3\), "0", "0"} }], ")"}], " "}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]}], ";"}]], "Input", InitializationCell->True], Cell[BoxData[ \(\(\(Clear[new]\ \ ;\)\(\ \)\)\)], "Input", InitializationCell->True], Cell[BoxData[ \(\(\(Clear[old2]\ \ ;\)\(\ \)\)\)], "Input", InitializationCell->True], Cell[BoxData[ \(\(Clear[old]\ \ ;\)\)], "Input", InitializationCell->True], Cell[BoxData[ \(\(new[r_] := AA . {r\[LeftDoubleBracket]1\[RightDoubleBracket], r\[LeftDoubleBracket]2\[RightDoubleBracket], r\[LeftDoubleBracket]3\[RightDoubleBracket]} + {1\/2, \@3\/2, 0}\ ;\)\)], "Input", InitializationCell->True], Cell[BoxData[ \(\(old2[c_] := Inverse[AA] . \((c - {1\/2, \@3\/2, 0})\)\ ;\)\)], "Input",\ InitializationCell->True], Cell[BoxData[ \(\(old[ c_] := {\(old2[ c]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \(old2[ c]\)\[LeftDoubleBracket]2\[RightDoubleBracket], \(old2[ c]\)\[LeftDoubleBracket]3\[RightDoubleBracket], 1 - \(old2[c]\)\[LeftDoubleBracket]1\[RightDoubleBracket] - \(old2[ c]\)\[LeftDoubleBracket]2\[RightDoubleBracket] - \(old2[ c]\)\[LeftDoubleBracket]3\[RightDoubleBracket]}\ ;\)\)], \ "Input", InitializationCell->True] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Credits", "Subtitle"], Cell[TextData[{ "Dynamo 4\nVersion 1.1 (July 31, 2006)\nby William H. Sandholm and Emin \ Dokumaci \n\nmail:\t\t\tDepartment of Economics\n\t\t\tUniversity of \ Wisconsin\n\t\t\t1180 Observatory Drive\n\t\t\tMadison WI 53706\n\ne-mail:\t\t\ \twhs@ssc.wisc.edu\n\t\t\tedokumaci@wisc.edu\n\t\nwebsites:\t\t", ButtonBox["http://www.ssc.wisc.edu/~whs/", ButtonData:>{ URL[ "http://www.ssc.wisc.edu/~whs/"], None}, ButtonStyle->"Hyperlink"], "\n\t\t\t", ButtonBox["http://www.ssc.wisc.edu/~edokumac/", ButtonData:>{ URL[ "http://www.ssc.wisc.edu/~edokumac/"], None}, ButtonStyle->"Hyperlink"], "\n\t\t\nDynamo website:\t\t", ButtonBox["http://www.ssc.wisc.edu/~whs/dynamo", ButtonData:>{ URL[ "http://www.ssc.wisc.edu/~whs/dynamo"], None}, ButtonStyle->"Hyperlink"], "\n \nFinancial support from the National Science Foundation under Grant \ SES-0092145 is gratefully acknowledged." }], "Text", FontFamily->"Palatino"] }, Open ]] }, FrontEndVersion->"5.2 for Macintosh", ScreenRectangle->{{46, 1600}, {0, 1002}}, AutoGeneratedPackage->Automatic, ScreenStyleEnvironment->"Working", WindowToolbars->{}, PrintAction->"PrintToNotebook", InitializationCellEvaluation->True, InitializationCellWarning->False, CellGrouping->Manual, WindowSize->{931, 587}, WindowMargins->{{82, Automatic}, {Automatic, 65}}, PrintingCopies->1, PrintingPageRange->{Automatic, Automatic}, PrivateNotebookOptions->{"ColorPalette"->{RGBColor, -1}}, ShowCellLabel->True, ShowCellTags->False, RenderingOptions->{"ObjectDithering"->True, "RasterDithering"->False}, StyleDefinitions -> Notebook[{ Cell[CellGroupData[{ Cell["Style Definitions", "Title"], Cell["\<\ Modify the definitions below to change the default appearance of \ all cells in a given style. Make modifications to any definition using \ commands in the Format menu.\ \>", "Text"], Cell[CellGroupData[{ Cell["Style Environment Names", "Section"], Cell[StyleData[All, "Working"], PageWidth->WindowWidth, CellBracketOptions->{"Color"->RGBColor[0.269993, 0.308507, 0.6]}, CellLabelMargins->{{12, Inherited}, {Inherited, Inherited}}, ScriptMinSize->9], Cell[StyleData[All, "Presentation"], PageWidth->WindowWidth, CellLabelMargins->{{24, Inherited}, {Inherited, Inherited}}, ScriptMinSize->12], Cell[StyleData[All, "Condensed"], PageWidth->WindowWidth, CellLabelMargins->{{8, Inherited}, {Inherited, Inherited}}, ScriptMinSize->8], Cell[StyleData[All, "SlideShow"], PageWidth->WindowWidth, ScrollingOptions->{"PagewiseDisplay"->True}, ShowCellBracket->False, ScriptMinSize->9], Cell[StyleData[All, "Printout"], PageWidth->PaperWidth, CellLabelMargins->{{2, Inherited}, {Inherited, Inherited}}, ScriptMinSize->5, PrivateFontOptions->{"FontType"->"Outline"}] }, Closed]], Cell[CellGroupData[{ Cell["Notebook Options", "Section"], Cell["\<\ The options defined for the style below will be used at the \ Notebook level.\ \>", "Text"], Cell[StyleData["Notebook"], PageHeaders->{{Cell[ TextData[ { CounterBox[ "Page"]}], "PageNumber"], None, Cell[ TextData[ { ValueBox[ "FileName"]}], "Header"]}, {Cell[ TextData[ { ValueBox[ "FileName"]}], "Header"], None, Cell[ TextData[ { CounterBox[ "Page"]}], "PageNumber"]}}, CellFrameLabelMargins->6, StyleMenuListing->None] }, Closed]], Cell[CellGroupData[{ Cell["Styles for Headings", "Section"], Cell[CellGroupData[{ Cell[StyleData["Title"], CellMargins->{{27, Inherited}, {10, 30}}, CellGroupingRules->{"TitleGrouping", 0}, PageBreakBelow->False, DefaultNewInlineCellStyle->"None", InputAutoReplacements->{"TeX"->StyleBox[ RowBox[ {"T", AdjustmentBox[ "E", BoxMargins -> {{-0.074999999999999997, \ -0.085000000000000006}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "LaTeX"->StyleBox[ RowBox[ {"L", StyleBox[ AdjustmentBox[ "A", BoxMargins -> {{-0.35999999999999999, \ -0.10000000000000001}, {0, 0}}, BoxBaselineShift -> -0.20000000000000001], FontSize -> Smaller], "T", AdjustmentBox[ "E", BoxMargins -> {{-0.074999999999999997, \ -0.085000000000000006}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "mma"->"Mathematica", "Mma"->"Mathematica", "MMA"->"Mathematica", "gridMathematica"->FormBox[ RowBox[ {"grid", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.17499999999999999, 0}, {0, 0}}]}], TextForm], "webMathematica"->FormBox[ RowBox[ {"web", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.17499999999999999, 0}, {0, 0}}]}], TextForm], Inherited}, LineSpacing->{1, 11}, LanguageCategory->"NaturalLanguage", CounterIncrements->"Title", CounterAssignments->{{"Section", 0}, {"Equation", 0}, {"Figure", 0}, { "Subtitle", 0}, {"Subsubtitle", 0}}, FontFamily->"Helvetica", FontSize->36, FontWeight->"Bold"], Cell[StyleData["Title", "Presentation"], CellMargins->{{27, 10}, {10, 30}}, LineSpacing->{1, 0}, FontSize->44], Cell[StyleData["Title", "Condensed"], CellMargins->{{8, 10}, {4, 8}}, FontSize->20], Cell[StyleData["Title", "SlideShow"]], Cell[StyleData["Title", "Printout"], CellMargins->{{2, 10}, {12, 30}}, FontSize->24] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Subtitle"], CellMargins->{{27, Inherited}, {20, 2}}, CellGroupingRules->{"TitleGrouping", 10}, PageBreakBelow->False, DefaultNewInlineCellStyle->"None", InputAutoReplacements->{"TeX"->StyleBox[ RowBox[ {"T", AdjustmentBox[ "E", BoxMargins -> {{-0.074999999999999997, \ -0.085000000000000006}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "LaTeX"->StyleBox[ RowBox[ {"L", StyleBox[ AdjustmentBox[ "A", BoxMargins -> {{-0.35999999999999999, \ -0.10000000000000001}, {0, 0}}, BoxBaselineShift -> -0.20000000000000001], FontSize -> Smaller], "T", AdjustmentBox[ "E", BoxMargins -> {{-0.074999999999999997, \ -0.085000000000000006}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "mma"->"Mathematica", "Mma"->"Mathematica", "MMA"->"Mathematica", "gridMathematica"->FormBox[ RowBox[ {"grid", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.17499999999999999, 0}, {0, 0}}]}], TextForm], "webMathematica"->FormBox[ RowBox[ {"web", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.17499999999999999, 0}, {0, 0}}]}], TextForm], Inherited}, LanguageCategory->"NaturalLanguage", CounterIncrements->"Subtitle", CounterAssignments->{{"Section", 0}, {"Equation", 0}, {"Figure", 0}, { "Subsubtitle", 0}}, FontFamily->"Helvetica", FontSize->24], Cell[StyleData["Subtitle", "Presentation"], CellMargins->{{27, 10}, {20, 2}}, LineSpacing->{1, 0}, FontSize->36], Cell[StyleData["Subtitle", "Condensed"], CellMargins->{{8, 10}, {4, 4}}, FontSize->14], Cell[StyleData["Subtitle", "SlideShow"]], Cell[StyleData["Subtitle", "Printout"], CellMargins->{{2, 10}, {12, 8}}, FontSize->18] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Subsubtitle"], CellMargins->{{27, Inherited}, {8, 2}}, CellGroupingRules->{"TitleGrouping", 20}, PageBreakBelow->False, DefaultNewInlineCellStyle->"None", InputAutoReplacements->{"TeX"->StyleBox[ RowBox[ {"T", AdjustmentBox[ "E", BoxMargins -> {{-0.074999999999999997, \ -0.085000000000000006}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "LaTeX"->StyleBox[ RowBox[ {"L", StyleBox[ AdjustmentBox[ "A", BoxMargins -> {{-0.35999999999999999, \ -0.10000000000000001}, {0, 0}}, BoxBaselineShift -> -0.20000000000000001], FontSize -> Smaller], "T", AdjustmentBox[ "E", BoxMargins -> {{-0.074999999999999997, \ -0.085000000000000006}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "mma"->"Mathematica", "Mma"->"Mathematica", "MMA"->"Mathematica", "gridMathematica"->FormBox[ RowBox[ {"grid", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.17499999999999999, 0}, {0, 0}}]}], TextForm], "webMathematica"->FormBox[ RowBox[ {"web", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.17499999999999999, 0}, {0, 0}}]}], TextForm], Inherited}, LanguageCategory->"NaturalLanguage", CounterIncrements->"Subsubtitle", CounterAssignments->{{"Section", 0}, {"Equation", 0}, {"Figure", 0}}, FontFamily->"Helvetica", FontSize->16], Cell[StyleData["Subsubtitle", "Presentation"], CellMargins->{{24, 10}, {20, 20}}, LineSpacing->{1, 0}, FontSize->24], Cell[StyleData["Subsubtitle", "Condensed"], CellMargins->{{8, 10}, {8, 8}}, FontSize->12], Cell[StyleData["Subsubtitle", "SlideShow"]], Cell[StyleData["Subsubtitle", "Printout"], CellMargins->{{2, 10}, {12, 8}}, FontSize->14] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Section"], CellFrame->{{0, 0}, {0, 1}}, CellMargins->{{27, Inherited}, {8, 34}}, CellGroupingRules->{"SectionGrouping", 30}, PageBreakBelow->False, CellFrameMargins->4, DefaultNewInlineCellStyle->"None", InputAutoReplacements->{"TeX"->StyleBox[ RowBox[ {"T", AdjustmentBox[ "E", BoxMargins -> {{-0.074999999999999997, \ -0.085000000000000006}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "LaTeX"->StyleBox[ RowBox[ {"L", StyleBox[ AdjustmentBox[ "A", BoxMargins -> {{-0.35999999999999999, \ -0.10000000000000001}, {0, 0}}, BoxBaselineShift -> -0.20000000000000001], FontSize -> Smaller], "T", AdjustmentBox[ "E", BoxMargins -> {{-0.074999999999999997, \ -0.085000000000000006}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "mma"->"Mathematica", "Mma"->"Mathematica", "MMA"->"Mathematica", "gridMathematica"->FormBox[ RowBox[ {"grid", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.17499999999999999, 0}, {0, 0}}]}], TextForm], "webMathematica"->FormBox[ RowBox[ {"web", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.17499999999999999, 0}, {0, 0}}]}], TextForm], Inherited}, LineSpacing->{1, 2}, LanguageCategory->"NaturalLanguage", CounterIncrements->"Section", CounterAssignments->{{"Subsection", 0}, {"Subsubsection", 0}}, FontFamily->"Helvetica", FontSize->20, FontWeight->"Bold"], Cell[StyleData["Section", "Presentation"], CellMargins->{{40, 10}, {11, 32}}, LineSpacing->{1, 0}, FontSize->24], Cell[StyleData["Section", "Condensed"], CellMargins->{{18, Inherited}, {6, 12}}, FontSize->12], Cell[StyleData["Section", "SlideShow"]], Cell[StyleData["Section", "Printout"], CellMargins->{{2, 0}, {7, 22}}, FontSize->14] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Subsection"], CellDingbat->"\[FilledSmallSquare]", CellMargins->{{60, Inherited}, {8, 12}}, CellGroupingRules->{"SectionGrouping", 40}, PageBreakBelow->False, DefaultNewInlineCellStyle->"None", InputAutoReplacements->{"TeX"->StyleBox[ RowBox[ {"T", AdjustmentBox[ "E", BoxMargins -> {{-0.074999999999999997, \ -0.085000000000000006}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "LaTeX"->StyleBox[ RowBox[ {"L", StyleBox[ AdjustmentBox[ "A", BoxMargins -> {{-0.35999999999999999, \ -0.10000000000000001}, {0, 0}}, BoxBaselineShift -> -0.20000000000000001], FontSize -> Smaller], "T", AdjustmentBox[ "E", BoxMargins -> {{-0.074999999999999997, \ -0.085000000000000006}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "mma"->"Mathematica", "Mma"->"Mathematica", "MMA"->"Mathematica", "gridMathematica"->FormBox[ RowBox[ {"grid", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.17499999999999999, 0}, {0, 0}}]}], TextForm], "webMathematica"->FormBox[ RowBox[ {"web", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.17499999999999999, 0}, {0, 0}}]}], TextForm], Inherited}, LanguageCategory->"NaturalLanguage", CounterIncrements->"Subsection", CounterAssignments->{{"Subsubsection", 0}}, FontFamily->"Verdana", FontSize->14, FontWeight->"Bold"], Cell[StyleData["Subsection", "Presentation"], CellMargins->{{36, 10}, {11, 32}}, LineSpacing->{1, 0}, FontSize->22], Cell[StyleData["Subsection", "Condensed"], CellMargins->{{16, Inherited}, {6, 12}}, FontSize->12], Cell[StyleData["Subsection", "SlideShow"]], Cell[StyleData["Subsection", "Printout"], CellMargins->{{9, 0}, {7, 22}}, FontSize->12] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Subsubsection"], CellDingbat->"\[FilledSmallSquare]", CellMargins->{{60, Inherited}, {2, 10}}, CellGroupingRules->{"SectionGrouping", 50}, PageBreakBelow->False, DefaultNewInlineCellStyle->"None", InputAutoReplacements->{"TeX"->StyleBox[ RowBox[ {"T", AdjustmentBox[ "E", BoxMargins -> {{-0.074999999999999997, \ -0.085000000000000006}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "LaTeX"->StyleBox[ RowBox[ {"L", StyleBox[ AdjustmentBox[ "A", BoxMargins -> {{-0.35999999999999999, \ -0.10000000000000001}, {0, 0}}, BoxBaselineShift -> -0.20000000000000001], FontSize -> Smaller], "T", AdjustmentBox[ "E", BoxMargins -> {{-0.074999999999999997, \ -0.085000000000000006}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "mma"->"Mathematica", "Mma"->"Mathematica", "MMA"->"Mathematica", "gridMathematica"->FormBox[ RowBox[ {"grid", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.17499999999999999, 0}, {0, 0}}]}], TextForm], "webMathematica"->FormBox[ RowBox[ {"web", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.17499999999999999, 0}, {0, 0}}]}], TextForm], Inherited}, LanguageCategory->"NaturalLanguage", CounterIncrements->"Subsubsection", FontFamily->"Verdana", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], Cell[StyleData["Subsubsection", "Presentation"], CellMargins->{{34, 10}, {11, 26}}, LineSpacing->{1, 0}, FontSize->18], Cell[StyleData["Subsubsection", "Condensed"], CellMargins->{{17, Inherited}, {6, 12}}, FontSize->10], Cell[StyleData["Subsubsection", "SlideShow"]], Cell[StyleData["Subsubsection", "Printout"], CellMargins->{{9, 0}, {7, 14}}, FontSize->11] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell["Styles for Body Text", "Section"], Cell[CellGroupData[{ Cell[StyleData["Text"], CellMargins->{{60, 10}, {7, 7}}, InputAutoReplacements->{"TeX"->StyleBox[ RowBox[ {"T", AdjustmentBox[ "E", BoxMargins -> {{-0.074999999999999997, \ -0.085000000000000006}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "LaTeX"->StyleBox[ RowBox[ {"L", StyleBox[ AdjustmentBox[ "A", BoxMargins -> {{-0.35999999999999999, \ -0.10000000000000001}, {0, 0}}, BoxBaselineShift -> -0.20000000000000001], FontSize -> Smaller], "T", AdjustmentBox[ "E", BoxMargins -> {{-0.074999999999999997, \ -0.085000000000000006}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "mma"->"Mathematica", "Mma"->"Mathematica", "MMA"->"Mathematica", "gridMathematica"->FormBox[ RowBox[ {"grid", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.17499999999999999, 0}, {0, 0}}]}], TextForm], "webMathematica"->FormBox[ RowBox[ {"web", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.17499999999999999, 0}, {0, 0}}]}], TextForm], Inherited}, LineSpacing->{1, 3}, CounterIncrements->"Text", FontFamily->"Palatino"], Cell[StyleData["Text", "Presentation"], CellMargins->{{24, 10}, {10, 10}}, LineSpacing->{1, 5}, FontSize->16], Cell[StyleData["Text", "Condensed"], CellMargins->{{8, 10}, {6, 6}}, LineSpacing->{1, 1}, FontSize->11], Cell[StyleData["Text", "SlideShow"]], Cell[StyleData["Text", "Printout"], CellMargins->{{2, 2}, {6, 6}}, TextJustification->0.5, Hyphenation->True, FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["SmallText"], CellMargins->{{60, 10}, {6, 6}}, DefaultNewInlineCellStyle->"None", LineSpacing->{1, 3}, LanguageCategory->"NaturalLanguage", CounterIncrements->"SmallText", FontFamily->"Trebuchet MS", FontSize->12, FontSlant->"Italic"], Cell[StyleData["SmallText", "Presentation"], CellMargins->{{24, 10}, {8, 8}}, LineSpacing->{1, 5}, FontSize->12], Cell[StyleData["SmallText", "Condensed"], CellMargins->{{8, 10}, {5, 5}}, LineSpacing->{1, 2}, FontSize->9], Cell[StyleData["SmallText", "SlideShow"]], Cell[StyleData["SmallText", "Printout"], CellMargins->{{2, 2}, {5, 5}}, TextJustification->0.5, Hyphenation->True, FontSize->7] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell["Styles for Input/Output", "Section"], Cell["\<\ The cells in this section define styles used for input and output \ to the kernel. Be careful when modifying, renaming, or removing these \ styles, because the front end associates special meanings with these style \ names. Some attributes for these styles are actually set in FormatType Styles \ (in the last section of this stylesheet). \ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["Input"], CellMargins->{{66, 10}, {5, 7}}, Evaluatable->True, CellGroupingRules->"InputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, DefaultFormatType->DefaultInputFormatType, "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, AutoItalicWords->{}, LanguageCategory->"Mathematica", FormatType->InputForm, ShowStringCharacters->True, NumberMarks->True, LinebreakAdjustments->{0.85, 2, 10, 0, 1}, CounterIncrements->"Input", FontWeight->"Bold"], Cell[StyleData["Input", "Presentation"], CellMargins->{{72, Inherited}, {8, 10}}, LineSpacing->{1, 0}, FontSize->16], Cell[StyleData["Input", "Condensed"], CellMargins->{{40, 10}, {2, 3}}, FontSize->11], Cell[StyleData["Input", "SlideShow"]], Cell[StyleData["Input", "Printout"], CellMargins->{{39, 0}, {4, 6}}, LinebreakAdjustments->{0.85, 2, 10, 1, 1}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["InputOnly"], CellMargins->{{66, 10}, {7, 7}}, Evaluatable->True, CellGroupingRules->"InputGrouping", CellHorizontalScrolling->True, DefaultFormatType->DefaultInputFormatType, "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, AutoItalicWords->{}, LanguageCategory->"Mathematica", FormatType->InputForm, ShowStringCharacters->True, NumberMarks->True, LinebreakAdjustments->{0.85, 2, 10, 0, 1}, CounterIncrements->"Input", StyleMenuListing->None, FontWeight->"Bold"], Cell[StyleData["InputOnly", "Presentation"], CellMargins->{{72, Inherited}, {8, 10}}, LineSpacing->{1, 0}, FontSize->16], Cell[StyleData["InputOnly", "Condensed"], CellMargins->{{40, 10}, {2, 3}}, FontSize->11], Cell[StyleData["InputOnly", "SlideShow"]], Cell[StyleData["InputOnly", "Printout"], CellMargins->{{39, 0}, {4, 6}}, LinebreakAdjustments->{0.85, 2, 10, 1, 1}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Output"], CellMargins->{{66, 10}, {7, 5}}, CellEditDuplicate->True, CellGroupingRules->"OutputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, DefaultFormatType->DefaultOutputFormatType, "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, AutoItalicWords->{}, LanguageCategory->None, FormatType->InputForm, CounterIncrements->"Output"], Cell[StyleData["Output", "Presentation"], CellMargins->{{72, Inherited}, {10, 8}}, LineSpacing->{1, 0}, FontSize->16], Cell[StyleData["Output", "Condensed"], CellMargins->{{41, Inherited}, {3, 2}}, FontSize->11], Cell[StyleData["Output", "SlideShow"]], Cell[StyleData["Output", "Printout"], CellMargins->{{39, 0}, {6, 4}}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Message"], CellMargins->{{66, Inherited}, {Inherited, Inherited}}, CellGroupingRules->"OutputGrouping", PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, DefaultFormatType->DefaultOutputFormatType, "TwoByteSyntaxCharacterAutoReplacement"->True, AutoStyleOptions->{"UnmatchedBracketStyle"->None}, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, AutoItalicWords->{}, LanguageCategory->None, FormatType->InputForm, CounterIncrements->"Message", StyleMenuListing->None, FontFamily->"Helvetica", FontSize->10, FontColor->RGBColor[0.6, 0.100008, 0.100008]], Cell[StyleData["Message", "Presentation"], CellMargins->{{72, Inherited}, {Inherited, Inherited}}, LineSpacing->{1, 0}, FontSize->16], Cell[StyleData["Message", "Condensed"], CellMargins->{{41, Inherited}, {Inherited, Inherited}}, FontSize->11], Cell[StyleData["Message", "SlideShow"]], Cell[StyleData["Message", "Printout"], CellMargins->{{39, Inherited}, {Inherited, Inherited}}, FontSize->7, FontColor->GrayLevel[0]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Print"], CellMargins->{{66, Inherited}, {Inherited, Inherited}}, CellGroupingRules->"OutputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, DefaultFormatType->DefaultOutputFormatType, "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, AutoItalicWords->{}, LanguageCategory->None, FormatType->InputForm, CounterIncrements->"Print", StyleMenuListing->None], Cell[StyleData["Print", "Presentation"], CellMargins->{{72, Inherited}, {Inherited, Inherited}}, LineSpacing->{1, 0}, FontSize->16], Cell[StyleData["Print", "Condensed"], CellMargins->{{41, Inherited}, {Inherited, Inherited}}, FontSize->11], Cell[StyleData["Print", "SlideShow"]], Cell[StyleData["Print", "Printout"], CellMargins->{{39, Inherited}, {Inherited, Inherited}}, FontSize->8] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Graphics"], CellMargins->{{4, Inherited}, {Inherited, Inherited}}, CellGroupingRules->"GraphicsGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, DefaultFormatType->DefaultOutputFormatType, LanguageCategory->None, FormatType->InputForm, CounterIncrements->"Graphics", ImageMargins->{{43, Inherited}, {Inherited, 0}}, StyleMenuListing->None, FontFamily->"Courier", FontSize->10], Cell[StyleData["Graphics", "Presentation"], ImageMargins->{{62, Inherited}, {Inherited, 0}}], Cell[StyleData["Graphics", "Condensed"], ImageMargins->{{38, Inherited}, {Inherited, 0}}, Magnification->0.6], Cell[StyleData["Graphics", "SlideShow"]], Cell[StyleData["Graphics", "Printout"], ImageMargins->{{30, Inherited}, {Inherited, 0}}, Magnification->0.8] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["CellLabel"], LanguageCategory->None, StyleMenuListing->None, FontFamily->"Helvetica", FontSize->9, FontColor->RGBColor[0.269993, 0.308507, 0.6]], Cell[StyleData["CellLabel", "Presentation"], FontSize->12], Cell[StyleData["CellLabel", "Condensed"], FontSize->9], Cell[StyleData["CellLabel", "SlideShow"]], Cell[StyleData["CellLabel", "Printout"], FontFamily->"Courier", FontSize->8, FontSlant->"Italic", FontColor->GrayLevel[0]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["FrameLabel"], LanguageCategory->None, StyleMenuListing->None, FontFamily->"Helvetica", FontSize->9], Cell[StyleData["FrameLabel", "Presentation"], FontSize->12], Cell[StyleData["FrameLabel", "Condensed"], FontSize->9], Cell[StyleData["FrameLabel", "SlideShow"]], Cell[StyleData["FrameLabel", "Printout"], FontFamily->"Courier", FontSize->8, FontSlant->"Italic", FontColor->GrayLevel[0]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Inline Formatting", "Section"], Cell["\<\ These styles are for modifying individual words or letters in a \ cell exclusive of the cell tag.\ \>", "Text"], Cell[StyleData["RM"], StyleMenuListing->None, FontWeight->"Plain", FontSlant->"Plain"], Cell[StyleData["BF"], StyleMenuListing->None, FontWeight->"Bold"], Cell[StyleData["IT"], StyleMenuListing->None, FontSlant->"Italic"], Cell[StyleData["TR"], StyleMenuListing->None, FontFamily->"Times", FontWeight->"Plain", FontSlant->"Plain"], Cell[StyleData["TI"], StyleMenuListing->None, FontFamily->"Times", FontWeight->"Plain", FontSlant->"Italic"], Cell[StyleData["TB"], StyleMenuListing->None, FontFamily->"Times", FontWeight->"Bold", FontSlant->"Plain"], Cell[StyleData["TBI"], StyleMenuListing->None, FontFamily->"Times", FontWeight->"Bold", FontSlant->"Italic"], Cell[StyleData["MR"], "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, StyleMenuListing->None, FontFamily->"Courier", FontWeight->"Plain", FontSlant->"Plain"], Cell[StyleData["MO"], "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, StyleMenuListing->None, FontFamily->"Courier", FontWeight->"Plain", FontSlant->"Italic"], Cell[StyleData["MB"], "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, StyleMenuListing->None, FontFamily->"Courier", FontWeight->"Bold", FontSlant->"Plain"], Cell[StyleData["MBO"], "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, StyleMenuListing->None, FontFamily->"Courier", FontWeight->"Bold", FontSlant->"Italic"], Cell[StyleData["SR"], StyleMenuListing->None, FontFamily->"Helvetica", FontWeight->"Plain", FontSlant->"Plain"], Cell[StyleData["SO"], StyleMenuListing->None, FontFamily->"Helvetica", FontWeight->"Plain", FontSlant->"Italic"], Cell[StyleData["SB"], StyleMenuListing->None, FontFamily->"Helvetica", FontWeight->"Bold", FontSlant->"Plain"], Cell[StyleData["SBO"], StyleMenuListing->None, FontFamily->"Helvetica", FontWeight->"Bold", FontSlant->"Italic"], Cell[CellGroupData[{ Cell[StyleData["SO10"], StyleMenuListing->None, FontFamily->"Helvetica", FontSize->10, FontWeight->"Plain", FontSlant->"Italic"], Cell[StyleData["SO10", "Printout"], StyleMenuListing->None, FontFamily->"Helvetica", FontSize->7, FontWeight->"Plain", FontSlant->"Italic"] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Inert"], StyleMenuListing->None, Background->RGBColor[0.870588, 0.905882, 0.972549]], Cell[StyleData["Inert", "Printout"], StyleMenuListing->None, Background->GrayLevel[1]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Formulas and Programming", "Section"], Cell[CellGroupData[{ Cell[StyleData["InlineFormula"], CellMargins->{{10, 4}, {0, 8}}, CellHorizontalScrolling->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, LanguageCategory->"Formula", ScriptLevel->1, SingleLetterItalics->True], Cell[StyleData["InlineFormula", "Presentation"], CellMargins->{{24, 10}, {10, 10}}, LineSpacing->{1, 5}, FontSize->16], Cell[StyleData["InlineFormula", "Condensed"], CellMargins->{{8, 10}, {6, 6}}, LineSpacing->{1, 1}, FontSize->11], Cell[StyleData["InlineFormula", "SlideShow"]], Cell[StyleData["InlineFormula", "Printout"], CellMargins->{{2, 0}, {6, 6}}, FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["DisplayFormula"], CellMargins->{{60, Inherited}, {Inherited, Inherited}}, CellHorizontalScrolling->True, DefaultFormatType->DefaultInputFormatType, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, LanguageCategory->"Formula", ScriptLevel->0, SingleLetterItalics->True, UnderoverscriptBoxOptions->{LimitsPositioning->True}], Cell[StyleData["DisplayFormula", "Presentation"], LineSpacing->{1, 5}, FontSize->16], Cell[StyleData["DisplayFormula", "Condensed"], LineSpacing->{1, 1}, FontSize->11], Cell[StyleData["DisplayFormula", "SlideShow"]], Cell[StyleData["DisplayFormula", "Printout"], FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Program"], CellFrame->{{0, 0}, {0.5, 0.5}}, CellMargins->{{60, 4}, {0, 8}}, CellHorizontalScrolling->True, Hyphenation->False, LanguageCategory->"Formula", ScriptLevel->1, FontFamily->"Courier"], Cell[StyleData["Program", "Presentation"], CellMargins->{{24, 10}, {10, 10}}, LineSpacing->{1, 5}, FontSize->16], Cell[StyleData["Program", "Condensed"], CellMargins->{{8, 10}, {6, 6}}, LineSpacing->{1, 1}, FontSize->11], Cell[StyleData["Program", "SlideShow"]], Cell[StyleData["Program", "Printout"], CellMargins->{{2, 0}, {6, 6}}, FontSize->9] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Outline Styles", "Section"], Cell[CellGroupData[{ Cell[StyleData["Outline1"], CellMargins->{{60, 10}, {7, 7}}, CellGroupingRules->{"SectionGrouping", 50}, ParagraphIndent->-38, CounterIncrements->"Outline1", CounterAssignments->{{"Outline2", 0}, {"Outline3", 0}, {"Outline4", 0}}, FontSize->18, FontWeight->"Bold", CounterBoxOptions->{CounterFunction:>CapitalRomanNumeral}], Cell[StyleData["Outline1", "SlideShow"]], Cell[StyleData["Outline1", "Printout"], CounterBoxOptions->{CounterFunction:>CapitalRomanNumeral}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Outline2"], CellMargins->{{90, 10}, {7, 7}}, CellGroupingRules->{"SectionGrouping", 60}, ParagraphIndent->-27, CounterIncrements->"Outline2", CounterAssignments->{{"Outline3", 0}, {"Outline4", 0}}, FontSize->15, FontWeight->"Bold", CounterBoxOptions->{CounterFunction:>(Part[ CharacterRange[ "A", "Z"], #]&)}], Cell[StyleData["Outline2", "SlideShow"]], Cell[StyleData["Outline2", "Printout"], CounterBoxOptions->{CounterFunction:>(Part[ CharacterRange[ "A", "Z"], #]&)}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Outline3"], CellMargins->{{120, 10}, {7, 7}}, CellGroupingRules->{"SectionGrouping", 70}, ParagraphIndent->-21, CounterIncrements->"Outline3", CounterAssignments->{{"Outline4", 0}}, FontSize->12, CounterBoxOptions->{CounterFunction:>Identity}], Cell[StyleData["Outline3", "SlideShow"]], Cell[StyleData["Outline3", "Printout"], CounterBoxOptions->{CounterFunction:>Identity}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Outline4"], CellMargins->{{150, 10}, {7, 7}}, CellGroupingRules->{"SectionGrouping", 80}, ParagraphIndent->-18, CounterIncrements->"Outline4", FontSize->10, CounterBoxOptions->{CounterFunction:>(Part[ CharacterRange[ "a", "z"], #]&)}], Cell[StyleData["Outline4", "SlideShow"]], Cell[StyleData["Outline4", "Printout"]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Hyperlink Styles", "Section"], Cell["\<\ The cells below define styles useful for making hypertext \ ButtonBoxes. The \"Hyperlink\" style is for links within the same Notebook, \ or between Notebooks.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["Hyperlink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookLocate[ #2]}]&), Active->True, ButtonFrame->"None", ButtonNote->ButtonData}], Cell[StyleData["Hyperlink", "Presentation"], FontSize->16], Cell[StyleData["Hyperlink", "Condensed"], FontSize->11], Cell[StyleData["Hyperlink", "SlideShow"]], Cell[StyleData["Hyperlink", "Printout"], FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell["\<\ The following styles are for linking automatically to the on-line \ help system.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["MainBookLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "MainBook", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["MainBookLink", "Presentation"], FontSize->16], Cell[StyleData["MainBookLink", "Condensed"], FontSize->11], Cell[StyleData["MainBookLink", "SlideShow"]], Cell[StyleData["MainBookLink", "Printout"], FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["AddOnsLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Courier", FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "AddOns", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["AddOnsLink", "Presentation"], FontSize->16], Cell[StyleData["AddOnsLink", "Condensed"], FontSize->11], Cell[StyleData["AddOnsLink", "SlideShow"]], Cell[StyleData["AddOnsLink", "Printout"], FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["RefGuideLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Courier", FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "RefGuide", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["RefGuideLink", "Presentation"], FontSize->16], Cell[StyleData["RefGuideLink", "Condensed"], FontSize->11], Cell[StyleData["RefGuideLink", "SlideShow"]], Cell[StyleData["RefGuideLink", "Printout"], FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["RefGuideLinkText"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "RefGuide", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["RefGuideLinkText", "Presentation"], FontSize->16], Cell[StyleData["RefGuideLinkText", "Condensed"], FontSize->11], Cell[StyleData["RefGuideLinkText", "SlideShow"]], Cell[StyleData["RefGuideLinkText", "Printout"], FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["GettingStartedLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "GettingStarted", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["GettingStartedLink", "Presentation"], FontSize->16], Cell[StyleData["GettingStartedLink", "Condensed"], FontSize->11], Cell[StyleData["GettingStartedLink", "SlideShow"]], Cell[StyleData["GettingStartedLink", "Printout"], FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["DemosLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "Demos", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["DemosLink", "SlideShow"]], Cell[StyleData["DemosLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["TourLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "Tour", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["TourLink", "SlideShow"]], Cell[StyleData["TourLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["OtherInformationLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "OtherInformation", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["OtherInformationLink", "Presentation"], FontSize->16], Cell[StyleData["OtherInformationLink", "Condensed"], FontSize->11], Cell[StyleData["OtherInformationLink", "SlideShow"]], Cell[StyleData["OtherInformationLink", "Printout"], FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["MasterIndexLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "MasterIndex", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["MasterIndexLink", "SlideShow"]], Cell[StyleData["MasterIndexLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Styles for Headers and Footers", "Section"], Cell[StyleData["Header"], CellMargins->{{0, 0}, {4, 1}}, DefaultNewInlineCellStyle->"None", LanguageCategory->"NaturalLanguage", StyleMenuListing->None, FontSize->10, FontSlant->"Italic"], Cell[StyleData["Footer"], CellMargins->{{0, 0}, {0, 4}}, DefaultNewInlineCellStyle->"None", LanguageCategory->"NaturalLanguage", StyleMenuListing->None, FontSize->9, FontSlant->"Italic"], Cell[StyleData["PageNumber"], CellMargins->{{0, 0}, {4, 1}}, StyleMenuListing->None, FontFamily->"Times", FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell["Palette Styles", "Section"], Cell["\<\ The cells below define styles that define standard \ ButtonFunctions, for use in palette buttons.\ \>", "Text"], Cell[StyleData["Paste"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, Placeholder]}]&)}], Cell[StyleData["Evaluate"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, All], FrontEnd`SelectionEvaluate[ FrontEnd`InputNotebook[ ], All]}]&)}], Cell[StyleData["EvaluateCell"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, All], FrontEnd`SelectionMove[ FrontEnd`InputNotebook[ ], All, Cell, 1], FrontEnd`SelectionEvaluateCreateCell[ FrontEnd`InputNotebook[ ], All]}]&)}], Cell[StyleData["CopyEvaluate"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`SelectionCreateCell[ FrontEnd`InputNotebook[ ], All], FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, All], FrontEnd`SelectionEvaluate[ FrontEnd`InputNotebook[ ], All]}]&)}], Cell[StyleData["CopyEvaluateCell"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`SelectionCreateCell[ FrontEnd`InputNotebook[ ], All], FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, All], FrontEnd`SelectionEvaluateCreateCell[ FrontEnd`InputNotebook[ ], All]}]&)}] }, Closed]], Cell[CellGroupData[{ Cell["Placeholder Styles", "Section"], Cell["\<\ The cells below define styles useful for making placeholder \ objects in palette templates.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["Placeholder"], Placeholder->True, StyleMenuListing->None, FontSlant->"Italic", FontColor->RGBColor[0.890623, 0.864698, 0.384756], TagBoxOptions->{Editable->False, Selectable->False, StripWrapperBoxes->False}], Cell[StyleData["Placeholder", "Presentation"]], Cell[StyleData["Placeholder", "Condensed"]], Cell[StyleData["Placeholder", "SlideShow"]], Cell[StyleData["Placeholder", "Printout"]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["PrimaryPlaceholder"], StyleMenuListing->None, DrawHighlighted->True, FontSlant->"Italic", Background->RGBColor[0.912505, 0.891798, 0.507774], TagBoxOptions->{Editable->False, Selectable->False, StripWrapperBoxes->False}], Cell[StyleData["PrimaryPlaceholder", "Presentation"]], Cell[StyleData["PrimaryPlaceholder", "Condensed"]], Cell[StyleData["PrimaryPlaceholder", "SlideShow"]], Cell[StyleData["PrimaryPlaceholder", "Printout"]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["FormatType Styles", "Section"], Cell["\<\ The cells below define styles that are mixed in with the styles \ of most cells. If a cell's FormatType matches the name of one of the styles \ defined below, then that style is applied between the cell's style and its \ own options. This is particularly true of Input and Output.\ \>", "Text"], Cell[StyleData["CellExpression"], PageWidth->Infinity, CellMargins->{{6, Inherited}, {Inherited, Inherited}}, ShowCellLabel->False, ShowSpecialCharacters->False, AllowInlineCells->False, Hyphenation->False, AutoItalicWords->{}, StyleMenuListing->None, FontFamily->"Courier", FontSize->12, Background->GrayLevel[1]], Cell[StyleData["InputForm"], InputAutoReplacements->{}, AllowInlineCells->False, Hyphenation->False, StyleMenuListing->None, FontFamily->"Courier"], Cell[StyleData["OutputForm"], PageWidth->Infinity, TextAlignment->Left, LineSpacing->{0.6, 1}, StyleMenuListing->None, FontFamily->"Courier"], Cell[StyleData["StandardForm"], InputAutoReplacements->{ "->"->"\[Rule]", ":>"->"\[RuleDelayed]", "<="->"\[LessEqual]", ">="->"\[GreaterEqual]", "!="->"\[NotEqual]", "=="->"\[Equal]", Inherited}, "TwoByteSyntaxCharacterAutoReplacement"->True, LineSpacing->{1.25, 0}, StyleMenuListing->None, FontFamily->"Courier"], Cell[StyleData["TraditionalForm"], InputAutoReplacements->{ "->"->"\[Rule]", ":>"->"\[RuleDelayed]", "<="->"\[LessEqual]", ">="->"\[GreaterEqual]", "!="->"\[NotEqual]", "=="->"\[Equal]", Inherited}, "TwoByteSyntaxCharacterAutoReplacement"->True, LineSpacing->{1.25, 0}, SingleLetterItalics->True, TraditionalFunctionNotation->True, DelimiterMatching->None, StyleMenuListing->None], Cell["\<\ The style defined below is mixed in to any cell that is in an \ inline cell within another.\ \>", "Text"], Cell[StyleData["InlineCell"], LanguageCategory->"Formula", ScriptLevel->1, StyleMenuListing->None], Cell[StyleData["InlineCellEditing"], StyleMenuListing->None, Background->RGBColor[0.964706, 0.929412, 0.839216]] }, Closed]], Cell[CellGroupData[{ Cell["Automatic Styles", "Section"], Cell["\<\ The cells below define styles that are used to affect the display \ of certain types of objects in typeset expressions. For example, \ \"UnmatchedBracket\" style defines how unmatched bracket, curly bracket, and \ parenthesis characters are displayed (typically by coloring them to make them \ stand out).\ \>", "Text"], Cell[StyleData["UnmatchedBracket"], StyleMenuListing->None, FontColor->RGBColor[0.760006, 0.330007, 0.8]], Cell[StyleData["Completions"], StyleMenuListing->None, FontFamily->"Courier"] }, Closed]], Cell[CellGroupData[{ Cell["Styles from HelpBrowser", "Section"], Cell[CellGroupData[{ Cell[StyleData["MathCaption"], CellFrame->{{0, 0}, {0, 0.5}}, CellMargins->{{66, 12}, {2, 24}}, PageBreakBelow->False, CellFrameMargins->{{8, 8}, {8, 2}}, CellFrameColor->GrayLevel[0.700008], CellFrameLabelMargins->4, LineSpacing->{1, 1}, ParagraphSpacing->{0, 8}, StyleMenuListing->None, FontColor->GrayLevel[0.2]], Cell[StyleData["MathCaption", "Presentation"], FontSize->18], Cell[StyleData["MathCaption", "SlideShow"]], Cell[StyleData["MathCaption", "Printout"], CellMargins->{{39, 0}, {0, 14}}, Hyphenation->True, FontSize->9, FontColor->GrayLevel[0]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["ObjectName"], ShowCellBracket->True, CellMargins->{{66, 4}, {8, 8}}, Evaluatable->True, CellGroupingRules->"InputGrouping", PageBreakWithin->False, GroupPageBreakWithin->False, CellLabelAutoDelete->False, CellLabelMargins->{{14, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultInputFormatType, ShowSpecialCharacters->Automatic, "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, LanguageCategory->"Mathematica", FormatType->StandardForm, ShowStringCharacters->True, NumberMarks->True, StyleMenuListing->None, FontWeight->"Bold"], Cell[StyleData["ObjectName", "Presentation"], FontSize->18], Cell[StyleData["ObjectName", "SlideShow"]], Cell[StyleData["ObjectName", "Printout"], ShowCellBracket->False, CellMargins->{{39, 0}, {6, 6}}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Usage"], ShowCellBracket->True, CellMargins->{{66, 4}, {8, 8}}, Evaluatable->True, CellGroupingRules->"InputGrouping", PageBreakWithin->False, GroupPageBreakWithin->False, CellLabelAutoDelete->False, CellLabelMargins->{{14, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultInputFormatType, ShowSpecialCharacters->Automatic, "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, LanguageCategory->"Mathematica", FormatType->StandardForm, ShowStringCharacters->True, NumberMarks->True, StyleMenuListing->None, FontWeight->"Bold"], Cell[StyleData["Usage", "Presentation"], FontSize->18], Cell[StyleData["Usage", "SlideShow"]], Cell[StyleData["Usage", "Printout"], ShowCellBracket->False, CellMargins->{{39, 0}, {6, 6}}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Notes"], ShowCellBracket->True, CellMargins->{{66, 4}, {8, 8}}, Evaluatable->True, CellGroupingRules->"InputGrouping", PageBreakWithin->False, GroupPageBreakWithin->False, CellLabelAutoDelete->False, CellLabelMargins->{{14, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultInputFormatType, ShowSpecialCharacters->Automatic, "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, LanguageCategory->"Mathematica", FormatType->StandardForm, ShowStringCharacters->True, NumberMarks->True, StyleMenuListing->None, FontWeight->"Bold"], Cell[StyleData["Notes", "Presentation"], FontSize->18], Cell[StyleData["Notes", "SlideShow"]], Cell[StyleData["Notes", "Printout"], ShowCellBracket->False, CellMargins->{{39, 0}, {6, 6}}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["InlineOutput"], ShowCellBracket->True, CellMargins->{{66, 4}, {8, 8}}, Evaluatable->True, CellGroupingRules->"InputGrouping", PageBreakWithin->False, GroupPageBreakWithin->False, CellLabelAutoDelete->False, CellLabelMargins->{{14, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultInputFormatType, ShowSpecialCharacters->Automatic, "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, LanguageCategory->"Mathematica", FormatType->StandardForm, ShowStringCharacters->True, NumberMarks->True, StyleMenuListing->None, FontWeight->"Bold"], Cell[StyleData["InlineOutput", "Presentation"], FontSize->18], Cell[StyleData["InlineOutput", "SlideShow"]], Cell[StyleData["InlineOutput", "Printout"], ShowCellBracket->False, CellMargins->{{39, 0}, {6, 6}}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell["Emphasis Boxes and Pictures", "Subsection"], Cell[CellGroupData[{ Cell[StyleData["Box"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], StyleMenuListing->None, Background->RGBColor[0.964706, 0.929412, 0.839216], FrameBoxOptions->{BoxFrame->0.5, BoxMargins->True}, GridBoxOptions->{ColumnSpacings->1}], Cell[StyleData["Box", "Presentation"], FontSize->18], Cell[StyleData["Box", "SlideShow"]], Cell[StyleData["Box", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->10, Background->GrayLevel[0.900008]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["DoubleBox"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], StyleMenuListing->None, Background->RGBColor[0.964706, 0.929412, 0.839216], FrameBoxOptions->{BoxFrame->0.5, BoxMargins->True}, GridBoxOptions->{ColumnSpacings->2, RowAlignments->Top}], Cell[StyleData["DoubleBox", "Presentation"], FontSize->18], Cell[StyleData["DoubleBox", "SlideShow"]], Cell[StyleData["DoubleBox", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->10, Background->GrayLevel[0.900008]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["1ColumnBox"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], LineIndent->0, StyleMenuListing->None, Background->RGBColor[0.964706, 0.929412, 0.839216], FrameBoxOptions->{BoxFrame->0.5, BoxMargins->True}, GridBoxOptions->{ColumnSpacings->1}], Cell[StyleData["1ColumnBox", "Presentation"], FontSize->18], Cell[StyleData["1ColumnBox", "SlideShow"]], Cell[StyleData["1ColumnBox", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->10, Background->GrayLevel[0.900008]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["2ColumnBox"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], SingleLetterItalics->False, LineIndent->0, StyleMenuListing->None, Background->RGBColor[0.964706, 0.929412, 0.839216], FrameBoxOptions->{BoxFrame->0.5, BoxMargins->True}, GridBoxOptions->{ColumnWidths->{0.31, 0.67}}], Cell[StyleData["2ColumnBox", "Presentation"], FontSize->18], Cell[StyleData["2ColumnBox", "SlideShow"]], Cell[StyleData["2ColumnBox", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->9, Background->GrayLevel[0.900008]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["2ColumnEvenBox"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], LineIndent->0, StyleMenuListing->None, Background->RGBColor[0.964706, 0.929412, 0.839216], FrameBoxOptions->{BoxFrame->0.5, BoxMargins->True}, GridBoxOptions->{ColumnWidths->0.46}], Cell[StyleData["2ColumnEvenBox", "Presentation"], FontSize->18], Cell[StyleData["2ColumnEvenBox", "SlideShow"]], Cell[StyleData["2ColumnEvenBox", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->10, Background->GrayLevel[0.900008]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["2ColumnSmallBox"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], LineIndent->0, StyleMenuListing->None, Background->RGBColor[0.964706, 0.929412, 0.839216], FrameBoxOptions->{BoxFrame->0.5, BoxMargins->True}, GridBoxOptions->{ColumnSpacings->1.5, ColumnWidths->0.35, ColumnAlignments->{Right, Left}}], Cell[StyleData["2ColumnSmallBox", "Presentation"], FontSize->18], Cell[StyleData["2ColumnSmallBox", "SlideShow"]], Cell[StyleData["2ColumnSmallBox", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->10, Background->GrayLevel[0.900008]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["3ColumnBox"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], LineIndent->0, StyleMenuListing->None, Background->RGBColor[0.964706, 0.929412, 0.839216], FrameBoxOptions->{BoxFrame->0.5, BoxMargins->True}, GridBoxOptions->{ColumnWidths->0.32}], Cell[StyleData["3ColumnBox", "Presentation"], FontSize->18], Cell[StyleData["3ColumnBox", "SlideShow"]], Cell[StyleData["3ColumnBox", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->10, Background->GrayLevel[0.900008]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["3ColumnSmallBox"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], LineIndent->0, StyleMenuListing->None, Background->RGBColor[0.964706, 0.929412, 0.839216], FrameBoxOptions->{BoxFrame->0.5, BoxMargins->True}, GridBoxOptions->{ColumnSpacings->1.5, ColumnWidths->0.24, ColumnAlignments->{Right, Center, Left}}], Cell[StyleData["3ColumnSmallBox", "Presentation"], FontSize->18], Cell[StyleData["3ColumnSmallBox", "SlideShow"]], Cell[StyleData["3ColumnSmallBox", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->10, Background->GrayLevel[0.900008]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["4ColumnBox"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], SingleLetterItalics->False, LineIndent->0, StyleMenuListing->None, Background->RGBColor[0.964706, 0.929412, 0.839216], FrameBoxOptions->{BoxFrame->0.5, BoxMargins->True}, GridBoxOptions->{ColumnWidths->{0.13, 0.35, 0.13, 0.35}}], Cell[StyleData["4ColumnBox", "Presentation"], FontSize->18], Cell[StyleData["4ColumnBox", "SlideShow"]], Cell[StyleData["4ColumnBox", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->10, Background->GrayLevel[0.900008]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["5ColumnBox"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], LineIndent->0, StyleMenuListing->None, Background->RGBColor[0.964706, 0.929412, 0.839216], FrameBoxOptions->{BoxFrame->0.5, BoxMargins->True}, GridBoxOptions->{ColumnWidths->0.202}], Cell[StyleData["5ColumnBox", "Presentation"], FontSize->18], Cell[StyleData["5ColumnBox", "SlideShow"]], Cell[StyleData["5ColumnBox", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->9, Background->GrayLevel[0.900008]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["6ColumnBox"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], LineIndent->0, StyleMenuListing->None, Background->RGBColor[0.964706, 0.929412, 0.839216], FrameBoxOptions->{BoxFrame->0.5, BoxMargins->True}, GridBoxOptions->{ColumnWidths->{0.12, 0.22, 0.12, 0.12, 0.22, 0.12}}], Cell[StyleData["6ColumnBox", "Presentation"], FontSize->18], Cell[StyleData["6ColumnBox", "SlideShow"]], Cell[StyleData["6ColumnBox", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->10, Background->GrayLevel[0.900008]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["FramedBox"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, PageBreakWithin->False, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], AutoIndent->False, AutoSpacing->False, LineIndent->0, StyleMenuListing->None, FontWeight->"Plain", Background->RGBColor[0.964706, 0.929412, 0.839216], GridBoxOptions->{RowSpacings->1.5, ColumnAlignments->{Left}}], Cell[StyleData["FramedBox", "Presentation"], FontSize->18], Cell[StyleData["FramedBox", "SlideShow"]], Cell[StyleData["FramedBox", "Printout"], CellMargins->{{2, 4}, {0, 8}}, FontSize->10, Background->GrayLevel[1]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["DefinitionBox"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, PageBreakWithin->False, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], AutoIndent->False, AutoSpacing->False, LineIndent->0, StyleMenuListing->None, FontWeight->"Plain", Background->RGBColor[0.964706, 0.929412, 0.839216], GridBoxOptions->{RowSpacings->1.5, ColumnSpacings->1, ColumnWidths->{0.4, 0.6}, ColumnAlignments->{Left}}], Cell[StyleData["DefinitionBox", "Presentation"], FontSize->18], Cell[StyleData["DefinitionBox", "SlideShow"]], Cell[StyleData["DefinitionBox", "Printout"], CellMargins->{{2, 4}, {0, 8}}, FontSize->10, Background->GrayLevel[1]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["DefinitionBox3Col"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, PageBreakWithin->False, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], AutoIndent->False, AutoSpacing->False, LineIndent->0, StyleMenuListing->None, FontWeight->"Plain", Background->RGBColor[0.964706, 0.929412, 0.839216], GridBoxOptions->{RowSpacings->1.5, ColumnSpacings->1, ColumnWidths->{0.35, 0.2, 0.45}, ColumnAlignments->{Left}}], Cell[StyleData["DefinitionBox3Col", "Presentation"], FontSize->18], Cell[StyleData["DefinitionBox3Col", "SlideShow"]], Cell[StyleData["DefinitionBox3Col", "Printout"], CellMargins->{{2, 4}, {0, 8}}, FontSize->10, Background->GrayLevel[1]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["DefinitionBox4Col"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, PageBreakWithin->False, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], AutoIndent->False, AutoSpacing->False, LineIndent->0, StyleMenuListing->None, FontWeight->"Plain", Background->RGBColor[0.964706, 0.929412, 0.839216], GridBoxOptions->{RowSpacings->1.5, ColumnSpacings->1, ColumnWidths->{0.15, 0.35, 0.15, 0.35}, ColumnAlignments->{Left}}], Cell[StyleData["DefinitionBox4Col", "Presentation"], FontSize->18], Cell[StyleData["DefinitionBox4Col", "SlideShow"]], Cell[StyleData["DefinitionBox4Col", "Printout"], CellMargins->{{2, 4}, {0, 8}}, FontSize->10, Background->GrayLevel[1]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["DefinitionBox5Col"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, PageBreakWithin->False, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], AutoIndent->False, AutoSpacing->False, LineIndent->0, StyleMenuListing->None, FontWeight->"Plain", Background->RGBColor[0.964706, 0.929412, 0.839216], GridBoxOptions->{RowSpacings->1.5, ColumnSpacings->1, ColumnWidths->0.2, ColumnAlignments->{Left}}], Cell[StyleData["DefinitionBox5Col", "Presentation"], FontSize->18], Cell[StyleData["DefinitionBox5Col", "SlideShow"]], Cell[StyleData["DefinitionBox5Col", "Printout"], CellMargins->{{2, 4}, {0, 8}}, FontSize->10, Background->GrayLevel[1]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["DefinitionBox6Col"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, PageBreakWithin->False, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], AutoIndent->False, AutoSpacing->False, LineIndent->0, StyleMenuListing->None, FontWeight->"Plain", Background->RGBColor[0.964706, 0.929412, 0.839216], GridBoxOptions->{RowSpacings->1.5, ColumnSpacings->1, ColumnWidths->{0.13, 0.24, 0.13, 0.13, 0.24, 0.13}, ColumnAlignments->{Left}}], Cell[StyleData["DefinitionBox6Col", "Presentation"], FontSize->18], Cell[StyleData["DefinitionBox6Col", "SlideShow"]], Cell[StyleData["DefinitionBox6Col", "Printout"], CellMargins->{{2, 4}, {0, 8}}, FontSize->10, Background->GrayLevel[1]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["TopBox"], CellFrame->{{0.5, 0.5}, {0, 0.5}}, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, PageBreakBelow->False, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], AutoIndent->False, AutoSpacing->False, LineIndent->0, StyleMenuListing->None, FontWeight->"Plain", Background->RGBColor[0.964706, 0.929412, 0.839216], GridBoxOptions->{RowSpacings->1.5, ColumnSpacings->1, ColumnWidths->{0.31, 0.62}, ColumnAlignments->{Left}}], Cell[StyleData["TopBox", "Presentation"], FontSize->18], Cell[StyleData["TopBox", "SlideShow"]], Cell[StyleData["TopBox", "Printout"], CellMargins->{{2, 0}, {0, 8}}, Background->GrayLevel[1]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["MiddleBox"], CellFrame->{{0.5, 0.5}, {0, 0}}, CellMargins->{{27, 12}, {0, -7}}, CellHorizontalScrolling->True, PageBreakAbove->False, PageBreakBelow->False, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], AutoIndent->False, AutoSpacing->False, LineIndent->0, StyleMenuListing->None, FontWeight->"Plain", Background->RGBColor[0.964706, 0.929412, 0.839216], GridBoxOptions->{RowSpacings->1.5, ColumnSpacings->1, ColumnWidths->{0.31, 0.62}, ColumnAlignments->{Left}}], Cell[StyleData["MiddleBox", "Presentation"], FontSize->18], Cell[StyleData["MiddleBox", "SlideShow"]], Cell[StyleData["MiddleBox", "Printout"], CellMargins->{{2, 0}, {0, 2}}, Background->GrayLevel[1]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["BottomBox"], CellFrame->{{0.5, 0.5}, {0.5, 0}}, CellMargins->{{27, 12}, {0, -7}}, CellHorizontalScrolling->True, PageBreakAbove->False, PageBreakBelow->False, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], AutoIndent->False, AutoSpacing->False, LineIndent->0, StyleMenuListing->None, FontWeight->"Plain", Background->RGBColor[0.964706, 0.929412, 0.839216], GridBoxOptions->{RowSpacings->1.5, ColumnSpacings->1, ColumnWidths->{0.31, 0.62}, ColumnAlignments->{Left}}], Cell[StyleData["BottomBox", "Presentation"], FontSize->18], Cell[StyleData["BottomBox", "SlideShow"]], Cell[StyleData["BottomBox", "Printout"], CellMargins->{{2, 0}, {0, -5}}, FontSize->10, Background->GrayLevel[1], GridBoxOptions->{RowMinHeight->2.2}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["TopSpanBox"], CellFrame->{{0.5, 0.5}, {0, 0.5}}, CellMargins->{{27, 12}, {-2, 8}}, CellHorizontalScrolling->True, PageBreakBelow->False, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], AutoIndent->False, AutoSpacing->False, LineIndent->0, StyleMenuListing->None, FontWeight->"Plain", Background->RGBColor[0.964706, 0.929412, 0.839216], GridBoxOptions->{RowSpacings->1.5, ColumnSpacings->1, ColumnWidths->{0.9, 0.03}, ColumnAlignments->{Left}}], Cell[StyleData["TopSpanBox", "Presentation"], FontSize->18], Cell[StyleData["TopSpanBox", "SlideShow"]], Cell[StyleData["TopSpanBox", "Printout"], CellMargins->{{2, 0}, {-2, 8}}, FontSize->10, Background->GrayLevel[1]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["MiddleSpanBox"], CellFrame->{{0.5, 0.5}, {0, 0}}, CellMargins->{{27, 12}, {0, 0}}, CellHorizontalScrolling->True, PageBreakAbove->False, PageBreakBelow->False, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], AutoIndent->False, AutoSpacing->False, LineIndent->0, StyleMenuListing->None, FontWeight->"Plain", Background->RGBColor[0.964706, 0.929412, 0.839216], GridBoxOptions->{RowSpacings->1.5, ColumnSpacings->1, ColumnWidths->{0.9, 0.03}, ColumnAlignments->{Left}}], Cell[StyleData["MiddleSpanBox", "Presentation"], FontSize->18], Cell[StyleData["MiddleSpanBox", "SlideShow"]], Cell[StyleData["MiddleSpanBox", "Printout"], CellMargins->{{2, 0}, {-5, 0}}, FontSize->10, Background->GrayLevel[1], GridBoxOptions->{RowMinHeight->1.8}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Picture"], CellMargins->{{27, Inherited}, {4, 4}}, CellGroupingRules->"GraphicsGrouping", CellHorizontalScrolling->True, StyleMenuListing->None], Cell[StyleData["Picture", "Presentation"], FontSize->18], Cell[StyleData["Picture", "SlideShow"]], Cell[StyleData["Picture", "Printout"], CellMargins->{{2, Inherited}, {4, 4}}, Magnification->0.65] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["OpenCloseItemizedPicture"], CellMargins->{{88, 4}, {4, 4}}, PrivateCellOptions->{"DefaultCellGroupOpen"->False}, CellGroupingRules->"GraphicsGrouping", CellHorizontalScrolling->True, StyleMenuListing->None], Cell[StyleData["OpenCloseItemizedPicture", "Presentation"], FontSize->18], Cell[StyleData["OpenCloseItemizedPicture", "SlideShow"]], Cell[StyleData["OpenCloseItemizedPicture", "Printout"], CellMargins->{{76, 2}, {0, 0}}, CellElementSpacings->{"CellMinHeight"->1, "ClosedCellHeight"->0}, CellOpen->False] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["ItemizedPicture"], CellMargins->{{88, 4}, {4, 4}}, CellGroupingRules->"GraphicsGrouping", CellHorizontalScrolling->True, StyleMenuListing->None], Cell[StyleData["ItemizedPicture", "Presentation"], FontSize->18], Cell[StyleData["ItemizedPicture", "SlideShow"]], Cell[StyleData["ItemizedPicture", "Printout"], CellMargins->{{77, 2}, {4, -4}}, Magnification->0.5] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["ListGraphic"], CellMargins->{{88, 4}, {4, 4}}, CellGroupingRules->"GraphicsGrouping", CellHorizontalScrolling->True, StyleMenuListing->None], Cell[StyleData["ListGraphic", "Presentation"], FontSize->18], Cell[StyleData["ListGraphic", "SlideShow"]], Cell[StyleData["ListGraphic", "Printout"], CellMargins->{{77, 2}, {4, -4}}, Magnification->0.5] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["ListNoteBox"], CellFrame->0.5, CellMargins->{{88, 12}, {8, 8}}, CellHorizontalScrolling->True, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], LineIndent->0, StyleMenuListing->None, Background->RGBColor[0.964706, 0.929412, 0.839216], FrameBoxOptions->{BoxMargins->{{1, 1}, {1.5, 1.5}}}, GridBoxOptions->{ColumnSpacings->1}], Cell[StyleData["ListNoteBox", "Presentation"], FontSize->18], Cell[StyleData["ListNoteBox", "SlideShow"]], Cell[StyleData["ListNoteBox", "Printout"], CellMargins->{{77, 4}, {6, 2}}, FontSize->10, Background->GrayLevel[0.900008]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["PictureGroup"], CellMargins->{{41, 4}, {0, 4}}, CellGroupingRules->"GraphicsGrouping", CellHorizontalScrolling->True, StyleMenuListing->None], Cell[StyleData["PictureGroup", "Presentation"], FontSize->18], Cell[StyleData["PictureGroup", "SlideShow"]], Cell[StyleData["PictureGroup", "Printout"], CellMargins->{{76, 2}, {0, 0}}, CellElementSpacings->{"CellMinHeight"->1, "ClosedCellHeight"->0}, CellOpen->False] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Sound"], ShowCellBracket->True, CellMargins->{{27, Inherited}, {0, 8}}, StyleMenuListing->None], Cell[StyleData["Sound", "Presentation"], FontSize->18], Cell[StyleData["Sound", "SlideShow"]], Cell[StyleData["Sound", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->10] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Tables", "Subsection"], Cell[CellGroupD