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CellChangeTimes->{{3368972759.5244894`, 3368972763.7588639`}}], Cell[CellGroupData[{ Cell["Abstract", "Section", CellChangeTimes->{{3368972843.6026139`, 3368972845.7901139`}}], Cell["\<\ In the upcoming version of Mathematica many functions formerly available \ through add-on packages have been redesigned, extended, often reimplemented, \ and are included in the kernel. In my talk I will discuss new functionality \ in polynomial algebra, algebraic number and number field computations, \ equation an inequality solving and exact global optimization. \ \>", "Text", CellChangeTimes->{{3368972859.6026139`, 3368972899.9776139`}}] }, Open ]], Cell[CellGroupData[{ Cell["Equations and Inequalities", "Section", CellChangeTimes->{{3368975860.3838639`, 3368975866.7901139`}}], Cell[CellGroupData[{ Cell["Cylindrical algebraic decomposition improvements", "Subsection", CellChangeTimes->{{3369049101.03518`, 3369049134.4104`}, 3369495375.02003`, 3369495406.02307`}], Cell["\<\ (Affected functions: CylindricalDecomposition, Reduce, Resolve, FindInstance, \ Minimize, Maximize, all functions using assumptions.)\ \>", "Text", CellChangeTimes->{{3368974859.1494894`, 3368974878.2901139`}, { 3368975724.8213639`, 3368975739.9151139`}, {3368976645.8838639`, 3368976648.7901139`}, {3369049142.9260769`, 3369049262.2080898`}}], Cell[TextData[{ "Several improvements have been added in the ", StyleBox["Mathematica", FontSlant->"Italic"], " implementation of the CAD algorithm, resulting in substantial speed-up for \ some examples." }], "Text", CellChangeTimes->{{3369051411.7687221`, 3369051584.6448283`}}], Cell[TextData[{ "This example (from H.Hong, R.Liska, S.Steinberg, Testing Stability by \ Quantifier Elimination, Journal of Symbolic Computation, 24, 1997) takes \ ~9000 seconds in ", StyleBox["Mathematica", FontSlant->"Italic"], " 5.2." }], "Text", CellChangeTimes->{{3369051665.7078471`, 3369051695.4267874`}, { 3369052277.0086346`, 3369052282.055542`}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"Reduce", "[", RowBox[{ SubscriptBox["\[ForAll]", RowBox[{ RowBox[{"{", RowBox[{"a", ",", "b", ",", "c"}], "}"}], ",", RowBox[{ RowBox[{ RowBox[{"(", RowBox[{"a", "|", "b", "|", "c"}], ")"}], "\[Element]", "Reals"}], "&&", RowBox[{"0", "\[LessEqual]", "a", "\[LessEqual]", "1"}], "&&", RowBox[{"0", "\[LessEqual]", "b", "\[LessEqual]", "1"}]}]}]], RowBox[{"(", 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{11, 35}}, FontSize -> 30], Cell[ StyleData["Section", "Printout"], CellMargins -> {{2, 0}, {7, 22}}, FontSize -> 14]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["Subsection"], CellMargins -> {{69, Inherited}, {8, 12}}, CellGroupingRules -> {"SectionGrouping", 40}, PageBreakBelow -> False, DefaultNewInlineCellStyle -> "None", InputAutoReplacements -> {"TeX" -> StyleBox[ RowBox[{"T", AdjustmentBox[ "E", BoxMargins -> {{-0.075, -0.085}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "LaTeX" -> StyleBox[ RowBox[{"L", StyleBox[ AdjustmentBox[ "A", BoxMargins -> {{-0.36, -0.1}, {0, 0}}, BoxBaselineShift -> -0.2], FontSize -> Smaller], "T", AdjustmentBox[ "E", BoxMargins -> {{-0.075, -0.085}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "mma" -> "Mathematica", "Mma" -> "Mathematica", "MMA" -> "Mathematica", "gridMathematica" -> FormBox[ RowBox[{"grid", AdjustmentBox[ StyleBox["Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.175, 0}, {0, 0}}]}], TextForm], "webMathematica" -> FormBox[ RowBox[{"web", AdjustmentBox[ StyleBox["Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.175, 0}, {0, 0}}]}], TextForm], Inherited}, LanguageCategory -> "NaturalLanguage", CounterIncrements -> "Subsection", CounterAssignments -> {{"Subsubsection", 0}}, FontFamily -> "Helvetica", FontSize -> 16, FontWeight -> "Bold", FontColor -> RGBColor[0.858824, 0.411765, 0.364706]], Cell[ StyleData["Subsection", "Presentation"], CellMargins -> {{93, 50}, {6, 15}}, LineSpacing -> {1, 0}, FontSize -> 24], Cell[ StyleData["Subsection", "SlideShow"], CellMargins -> {{69, 50}, {8, 12}}, LineSpacing -> {1, 0}, FontSize -> 24], Cell[ StyleData["Subsection", "Printout"], CellMargins -> {{69, 0}, {8, 22}}, FontSize -> 12]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["Subsubsection"], CellMargins -> {{60, Inherited}, {2, 12}}, CellGroupingRules -> {"SectionGrouping", 50}, PageBreakBelow -> False, DefaultNewInlineCellStyle -> "None", InputAutoReplacements -> {"TeX" -> StyleBox[ RowBox[{"T", AdjustmentBox[ "E", BoxMargins -> {{-0.075, -0.085}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "LaTeX" -> StyleBox[ RowBox[{"L", StyleBox[ AdjustmentBox[ "A", BoxMargins -> {{-0.36, -0.1}, {0, 0}}, BoxBaselineShift -> -0.2], FontSize -> Smaller], "T", AdjustmentBox[ "E", BoxMargins -> {{-0.075, -0.085}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "mma" -> "Mathematica", "Mma" -> "Mathematica", "MMA" -> "Mathematica", "gridMathematica" -> FormBox[ RowBox[{"grid", AdjustmentBox[ StyleBox["Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.175, 0}, {0, 0}}]}], TextForm], "webMathematica" -> FormBox[ RowBox[{"web", AdjustmentBox[ StyleBox["Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.175, 0}, {0, 0}}]}], TextForm], Inherited}, LanguageCategory -> "NaturalLanguage", CounterIncrements -> "Subsubsection", FontFamily -> "Helvetica", FontWeight -> "Bold", FontColor -> RGBColor[0.929412, 0.517647, 0.352941]], Cell[ StyleData["Subsubsection", "Presentation"], CellMargins -> {{93, 50}, {6, 20}}, LineSpacing -> {1, 0}, FontSize -> 18], Cell[ StyleData["Subsubsection", "SlideShow"], CellMargins -> {{123, 50}, {6, 20}}, FontSize -> 18], Cell[ StyleData["Subsubsection", "Printout"], CellMargins -> {{2, 0}, {7, 14}}, FontSize -> 11]}, Closed]], Cell["Styles for Body Text", "Section"], Cell[ CellGroupData[{ Cell[ StyleData["Text"], CellMargins -> {{60, 10}, {7, 7}}, InputAutoReplacements -> {"TeX" -> StyleBox[ RowBox[{"T", AdjustmentBox[ "E", BoxMargins -> {{-0.075, -0.085}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "LaTeX" -> StyleBox[ RowBox[{"L", StyleBox[ AdjustmentBox[ "A", BoxMargins -> {{-0.36, -0.1}, {0, 0}}, BoxBaselineShift -> -0.2], FontSize -> Smaller], "T", AdjustmentBox[ "E", BoxMargins -> {{-0.075, -0.085}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "mma" -> "Mathematica", "Mma" -> "Mathematica", "MMA" -> "Mathematica", "gridMathematica" -> FormBox[ RowBox[{"grid", AdjustmentBox[ StyleBox["Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.175, 0}, {0, 0}}]}], TextForm], "webMathematica" -> FormBox[ RowBox[{"web", AdjustmentBox[ StyleBox["Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.175, 0}, {0, 0}}]}], TextForm], Inherited}, LineSpacing -> {1, 3}, CounterIncrements -> "Text", FontFamily -> "Helvetica"], Cell[ StyleData["Text", "Presentation"], CellMargins -> {{92, 50}, {10, 10}}, LineSpacing -> {1, 5}, FontSize -> 17], Cell[ StyleData["Text", "SlideShow"], CellMargins -> {{100, 50}, {10, 10}}, FontSize -> 17], Cell[ StyleData["Text", "Printout"], CellMargins -> {{2, 2}, {6, 6}}, TextJustification -> 0.5, Hyphenation -> True, FontSize -> 10]}, Open]], Cell[ CellGroupData[{ Cell[ StyleData["SmallText"], CellMargins -> {{60, 10}, {6, 6}}, DefaultNewInlineCellStyle -> "None", LineSpacing -> {1, 3}, LanguageCategory -> "NaturalLanguage", CounterIncrements -> "SmallText", FontFamily -> "Helvetica", FontSize -> 9], Cell[ StyleData["SmallText", "Presentation"], CellMargins -> {{91, 50}, {8, 8}}, LineSpacing -> {1, 5}, FontSize -> 10], Cell[ StyleData["SmallText", "SlideShow"], CellMargins -> {{100, 50}, {8, 8}}, LineSpacing -> {1, 5}, FontSize -> 10], Cell[ StyleData["SmallText", "Printout"], CellMargins -> {{2, 2}, {5, 5}}, TextJustification -> 0.5, Hyphenation -> True, FontSize -> 7]}, 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"]}, Closed]], 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 -> {{90, 50}, {8, 10}}, LineSpacing -> {1, 0}, FontSize -> 18], Cell[ StyleData["Input", "SlideShow"], CellMargins -> {{100, 50}, {8, 10}}, LineSpacing -> {1, 0}, FontSize -> 18], Cell[ StyleData["Input", "Printout"], CellMargins -> {{39, 0}, {4, 6}}, LinebreakAdjustments -> {0.85, 2, 10, 1, 1}, FontSize -> 9]}, Open]], 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 -> {{90, Inherited}, {8, 10}}, LineSpacing -> {1, 0}, FontSize -> 18], Cell[ StyleData["InputOnly", "SlideShow"], CellMargins -> {{100, Inherited}, {8, 10}}, LineSpacing -> {1, 0}, FontSize -> 18], Cell[ StyleData["InputOnly", "Printout"], CellMargins -> {{39, 0}, {4, 6}}, LinebreakAdjustments -> {0.85, 2, 10, 1, 1}, FontSize -> 9]}, Open]], 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 -> {{90, 50}, {10, 8}}, LineSpacing -> {1, 0}, FontSize -> 18], Cell[ StyleData["Output", "SlideShow"], CellMargins -> {{100, 50}, {10, 8}}, LineSpacing -> {1, 0}, FontSize -> 18], 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, HyphenationOptions -> { "HyphenationCharacter" -> "\[Continuation]"}, AutoItalicWords -> {}, LanguageCategory -> None, FormatType -> InputForm, CounterIncrements -> "Message", StyleMenuListing -> None, FontFamily -> "Helvetica", FontSize -> 10, FontColor -> RGBColor[0.0352941, 0.301961, 0.584314]], Cell[ StyleData["Message", "Presentation"], CellMargins -> {{90, Inherited}, {Inherited, Inherited}}, LineSpacing -> {1, 0}, FontSize -> 14], Cell[ StyleData["Message", "SlideShow"], CellMargins -> {{100, Inherited}, {Inherited, Inherited}}, LineSpacing -> {1, 0}, FontSize -> 14], Cell[ StyleData["Message", "Printout"], CellMargins -> {{39, Inherited}, {Inherited, Inherited}}, FontSize -> 7]}, 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 -> 18], Cell[ StyleData["Print", "SlideShow"], CellMargins -> {{100, Inherited}, {Inherited, Inherited}}, LineSpacing -> {1, 0}, FontSize -> 18], 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", "SlideShow"], ImageMargins -> {{100, Inherited}, {Inherited, 0}}], 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[0.24683, 0.609186, 0.818586]], Cell[ StyleData["CellLabel", "Presentation"], FontSize -> 12], Cell[ StyleData["CellLabel", "SlideShow"], FontSize -> 12], Cell[ StyleData["CellLabel", "Printout"], FontFamily -> "Courier", FontSize -> 8, FontSlant -> "Italic"]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["FrameLabel"], LanguageCategory -> None, StyleMenuListing -> None, FontFamily -> "Helvetica", FontSize -> 9], Cell[ StyleData["FrameLabel", "Presentation"], FontSize -> 12], Cell[ StyleData["FrameLabel", "SlideShow"], FontSize -> 12], Cell[ StyleData["FrameLabel", "Printout"], FontFamily -> "Courier", FontSize -> 8, FontSlant -> "Italic", FontColor -> GrayLevel[0]]}, Closed]], Cell["Presentation Specific", "Section"], Cell[ CellGroupData[{ Cell[ StyleData["BulletedList"], CellMargins -> {{45, 10}, {7, 7}}, CellFrameLabels -> {{ Cell[ "\[FilledSmallSquare]", "BulletedList", CellBaseline -> Baseline], Inherited}, {Inherited, Inherited}}, InputAutoReplacements -> {"TeX" -> StyleBox[ RowBox[{"T", AdjustmentBox[ "E", BoxMargins -> {{-0.075, -0.085}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "LaTeX" -> StyleBox[ RowBox[{"L", StyleBox[ AdjustmentBox[ "A", BoxMargins -> {{-0.36, -0.1}, {0, 0}}, BoxBaselineShift -> -0.2], FontSize -> Smaller], "T", AdjustmentBox[ "E", BoxMargins -> {{-0.075, -0.085}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "mma" -> "Mathematica", "Mma" -> "Mathematica", "MMA" -> "Mathematica", "gridMathematica" -> FormBox[ RowBox[{"grid", AdjustmentBox[ StyleBox["Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.175, 0}, {0, 0}}]}], TextForm], "webMathematica" -> FormBox[ RowBox[{"web", AdjustmentBox[ StyleBox["Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.175, 0}, {0, 0}}]}], TextForm], Inherited}, CounterIncrements -> "BulletedList", FontFamily -> "Helvetica"], Cell[ StyleData["BulletedList", "Presentation"], CellMargins -> {{56, 50}, {10, 10}}, LineSpacing -> {1, 5}, FontSize -> 18], Cell[ StyleData["BulletedList", "SlideShow"], CellMargins -> {{85, 50}, {10, 10}}, FontSize -> 18], Cell[ StyleData["BulletedList", "Printout"], CellMargins -> {{2, 2}, {6, 6}}, TextJustification -> 0.5, Hyphenation -> True, FontSize -> 10]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["Author"], CellMargins -> {{139, 27}, {2, 20}}, FontFamily -> "Times", FontSize -> 24, FontSlant -> "Italic"], Cell[ StyleData["Author", "Presentation"], CellMargins -> {{198, 27}, {2, 25}}, FontSize -> 32], Cell[ StyleData["Author", "SlideShow"], CellMargins -> {{198, 27}, {2, 50}}, FontSize -> 32], Cell[ StyleData["Author", "Printout"], CellMargins -> {{100, 27}, {2, 20}}, FontSize -> 14]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["Affiliation"], CellMargins -> {{141, 27}, {30, 12}}, FontFamily -> "Times", FontSize -> 24, FontSlant -> "Italic"], Cell[ StyleData["Affiliation", "Presentation"], CellMargins -> {{198, 27}, {35, 10}}, FontSize -> 32], Cell[ StyleData["Affiliation", "SlideShow"], CellMargins -> {{198, 27}, {100, 10}}, FontSize -> 32], Cell[ StyleData["Affiliation", "Printout"], CellMargins -> {{100, 27}, {2, 12}}, FontSize -> 14]}, Closed]], Cell["Header Graphic", "Section"], Cell[ CellGroupData[{ Cell[ StyleData["ConferenceGraphicCell"], ShowCellBracket -> True, CellMargins -> {{0, 0}, {0, 0}}, Evaluatable -> False, PageBreakBelow -> False, ImageMargins -> {{0, 0}, {0, 0}}, ImageRegion -> {{0, 1}, {0, 1}}, Magnification -> 1, Background -> GrayLevel[1]], Cell[ StyleData["ConferenceGraphicCell", "Presentation"], ShowCellBracket -> False], Cell[ StyleData["ConferenceGraphicCell", "SlideShow"], ShowCellBracket -> False], Cell[ StyleData["ConferenceGraphicCell", "Printout"], FontSize -> 8, Magnification -> 0.75]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["GraphicNoMagnification"], CellMargins -> {{60, 10}, {7, 7}}, LineSpacing -> {1, 3}, CounterIncrements -> "Text", FontFamily -> "Helvetica", Magnification -> 1], Cell[ StyleData["GraphicNoMagnification", "Presentation"], CellMargins -> {{72, 50}, {10, 10}}, LineSpacing -> {1, 5}, FontSize -> 17], Cell[ StyleData["GraphicNoMagnification", "SlideShow"], CellMargins -> {{100, 50}, {10, 10}}, FontSize -> 17], Cell[ StyleData["GraphicNoMagnification", "Printout"], CellMargins -> {{2, 2}, {6, 6}}, FontSize -> 10]}, 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"]}, Closed]], 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["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, StyleMenuListing -> None], Cell[ StyleData["InlineFormula", "Presentation"], LineSpacing -> {1, 5}, FontSize -> 16], Cell[ StyleData["InlineFormula", "SlideShow"], LineSpacing -> {1, 5}, FontSize -> 16], 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"], CellMargins -> {{72, Inherited}, {Inherited, Inherited}}, LineSpacing -> {1, 5}, FontSize -> 16], Cell[ StyleData["DisplayFormula", "SlideShow"], CellMargins -> {{100, 50}, {Inherited, Inherited}}, LineSpacing -> {1, 5}, FontSize -> 16], Cell[ StyleData["DisplayFormula", "Printout"], FontSize -> 10]}, Open]], 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 -> {{72, 50}, {10, 10}}, LineSpacing -> {1, 5}, FontSize -> 16], Cell[ StyleData["Program", "SlideShow"], CellMargins -> {{100, 50}, {10, 10}}, LineSpacing -> {1, 5}, FontSize -> 16], Cell[ StyleData["Program", "Printout"], CellMargins -> {{2, 0}, {6, 6}}, FontSize -> 9]}, 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"]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["Hyperlink"], StyleMenuListing -> None, ButtonStyleMenuListing -> Automatic, FontVariations -> {"Underline" -> True}, FontColor -> RGBColor[0, 0.376471, 0.490196], ButtonBoxOptions -> { Active -> True, ButtonFrame -> "None", ButtonFunction :> (FrontEndExecute[{ FrontEnd`NotebookLocate[#2]}]& ), ButtonNote -> ButtonData}], Cell[ StyleData["Hyperlink", "Presentation"], FontSize -> 16], Cell[ StyleData["Hyperlink", "SlideShow"]], Cell[ StyleData["Hyperlink", "Printout"], FontSize -> 10, 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, FontVariations -> {"Underline" -> True}, FontColor -> RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions -> { Active -> True, ButtonFrame -> "None", ButtonFunction :> (FrontEndExecute[{ FrontEnd`HelpBrowserLookup["MainBook", #]}]& )}], Cell[ StyleData["MainBookLink", "Presentation"], FontSize -> 16], Cell[ StyleData["MainBookLink", "SlideShow"]], Cell[ StyleData["MainBookLink", "Printout"], FontSize -> 10, FontVariations -> {"Underline" -> False}, FontColor -> GrayLevel[0]]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["AddOnsLink"], StyleMenuListing -> None, ButtonStyleMenuListing -> Automatic, FontFamily -> "Courier", FontVariations -> {"Underline" -> True}, FontColor -> RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions -> { Active -> True, ButtonFrame -> "None", ButtonFunction :> (FrontEndExecute[{ FrontEnd`HelpBrowserLookup["AddOns", #]}]& )}], Cell[ StyleData["AddOnsLink", "Presentation"], FontSize -> 16], Cell[ StyleData["AddOnsLink", "SlideShow"]], Cell[ StyleData["AddOnsLink", "Printout"], FontSize -> 10, FontVariations -> {"Underline" -> False}, FontColor -> GrayLevel[0]]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["RefGuideLink"], StyleMenuListing -> None, ButtonStyleMenuListing -> Automatic, FontFamily -> "Courier", FontVariations -> {"Underline" -> True}, FontColor -> RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions -> { Active -> True, ButtonFrame -> "None", ButtonFunction :> (FrontEndExecute[{ FrontEnd`HelpBrowserLookup["RefGuide", #]}]& )}], Cell[ StyleData["RefGuideLink", "Presentation"], FontSize -> 16], Cell[ StyleData["RefGuideLink", "SlideShow"]], Cell[ StyleData["RefGuideLink", "Printout"], FontSize -> 10, FontVariations -> {"Underline" -> False}, FontColor -> GrayLevel[0]]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["RefGuideLinkText"], StyleMenuListing -> None, ButtonStyleMenuListing -> Automatic, FontVariations -> {"Underline" -> True}, FontColor -> RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions -> { Active -> True, ButtonFrame -> "None", ButtonFunction :> (FrontEndExecute[{ FrontEnd`HelpBrowserLookup["RefGuide", #]}]& )}], Cell[ StyleData["RefGuideLinkText", "Presentation"], FontSize -> 16], Cell[ StyleData["RefGuideLinkText", "SlideShow"]], Cell[ StyleData["RefGuideLinkText", "Printout"], FontSize -> 10, FontVariations -> {"Underline" -> False}, FontColor -> GrayLevel[0]]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["GettingStartedLink"], StyleMenuListing -> None, ButtonStyleMenuListing -> Automatic, FontVariations -> {"Underline" -> True}, FontColor -> RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions -> { Active -> True, ButtonFrame -> "None", ButtonFunction :> (FrontEndExecute[{ FrontEnd`HelpBrowserLookup["GettingStarted", #]}]& )}], Cell[ StyleData["GettingStartedLink", "Presentation"], FontSize -> 16], Cell[ StyleData["GettingStartedLink", "SlideShow"]], Cell[ StyleData["GettingStartedLink", "Printout"], FontSize -> 10, FontVariations -> {"Underline" -> False}, FontColor -> GrayLevel[0]]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["DemosLink"], StyleMenuListing -> None, ButtonStyleMenuListing -> Automatic, FontVariations -> {"Underline" -> True}, FontColor -> RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions -> { Active -> True, ButtonFrame -> "None", ButtonFunction :> (FrontEndExecute[{ FrontEnd`HelpBrowserLookup["Demos", #]}]& )}], Cell[ StyleData["DemosLink", "SlideShow"]], Cell[ StyleData["DemosLink", "Printout"], FontVariations -> {"Underline" -> False}, FontColor -> GrayLevel[0]]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["TourLink"], StyleMenuListing -> None, ButtonStyleMenuListing -> Automatic, FontVariations -> {"Underline" -> True}, FontColor -> RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions -> { Active -> True, ButtonFrame -> "None", ButtonFunction :> (FrontEndExecute[{ FrontEnd`HelpBrowserLookup["Tour", #]}]& )}], Cell[ StyleData["TourLink", "SlideShow"]], Cell[ StyleData["TourLink", "Printout"], FontVariations -> {"Underline" -> False}, FontColor -> GrayLevel[0]]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["OtherInformationLink"], StyleMenuListing -> None, ButtonStyleMenuListing -> Automatic, FontVariations -> {"Underline" -> True}, FontColor -> RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions -> { Active -> True, ButtonFrame -> "None", ButtonFunction :> (FrontEndExecute[{ FrontEnd`HelpBrowserLookup["OtherInformation", #]}]& )}], Cell[ StyleData["OtherInformationLink", "Presentation"], FontSize -> 16], Cell[ StyleData["OtherInformationLink", "SlideShow"]], Cell[ StyleData["OtherInformationLink", "Printout"], FontSize -> 10, FontVariations -> {"Underline" -> False}, FontColor -> GrayLevel[0]]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["MasterIndexLink"], StyleMenuListing -> None, ButtonStyleMenuListing -> Automatic, FontVariations -> {"Underline" -> True}, FontColor -> RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions -> { Active -> True, ButtonFrame -> "None", ButtonFunction :> (FrontEndExecute[{ FrontEnd`HelpBrowserLookup["MasterIndex", #]}]& )}], Cell[ StyleData["MasterIndexLink", "SlideShow"]], Cell[ StyleData["MasterIndexLink", "Printout"], FontVariations -> {"Underline" -> False}, FontColor -> GrayLevel[0]]}, 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"]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["Placeholder"], Placeholder -> True, StyleMenuListing -> None, FontSlant -> "Italic", FontColor -> RGBColor[0.984314, 0.74902, 0.176471], TagBoxOptions -> { Editable -> False, Selectable -> False, StripWrapperBoxes -> False}], Cell[ StyleData["Placeholder", "Presentation"]], Cell[ StyleData["Placeholder", "SlideShow"]], Cell[ StyleData["Placeholder", "Printout"]]}, Closed]], Cell[ CellGroupData[{ Cell[ StyleData["PrimaryPlaceholder"], StyleMenuListing -> None, DrawHighlighted -> True, FontSlant -> "Italic", Background -> RGBColor[0.984314, 0.864057, 0.382376], TagBoxOptions -> { Editable -> False, Selectable -> False, StripWrapperBoxes -> False}], Cell[ StyleData["PrimaryPlaceholder", "Presentation"]], Cell[ StyleData["PrimaryPlaceholder", "SlideShow"]], Cell[ StyleData["PrimaryPlaceholder", "Printout"]]}, 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[0.984314, 0.895659, 0.659937]]}, 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[0.503243, 0.707805, 0.862837]], Cell[ StyleData["Completions"], StyleMenuListing -> None, FontFamily -> "Courier"]}, Closed]], 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"], CellMargins -> {{72, Inherited}, {Inherited, Inherited}}, FontSize -> 18], Cell[ StyleData["MathCaption", "SlideShow"], CellMargins -> {{100, 50}, {Inherited, Inherited}}], 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"], CellMargins -> {{72, Inherited}, {Inherited, Inherited}}, FontSize -> 18], Cell[ StyleData["ObjectName", "SlideShow"], CellMargins -> {{100, 50}, {Inherited, Inherited}}], 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"], CellMargins -> {{72, Inherited}, {Inherited, Inherited}}, FontSize -> 18], Cell[ StyleData["Usage", "SlideShow"], CellMargins -> {{100, 50}, {Inherited, Inherited}}], 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"], CellMargins -> {{72, Inherited}, {Inherited, Inherited}}, FontSize -> 18], Cell[ StyleData["Notes", "SlideShow"], CellMargins -> {{100, 50}, {Inherited, Inherited}}], 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"], CellMargins -> {{72, Inherited}, {Inherited, Inherited}}, FontSize -> 18], Cell[ StyleData["InlineOutput", "SlideShow"], CellMargins -> {{100, 50}, {Inherited, Inherited}}], Cell[ StyleData["InlineOutput", "Printout"], ShowCellBracket -> False, CellMargins -> {{39, 0}, {6, 6}}, FontSize -> 9]}, Closed]], 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, FrameMargins -> True}, GridBoxOptions -> {GridBoxSpacings -> {"Columns" -> { Offset[0.28], { Offset[0.7]}, Offset[0.28]}, "ColumnsIndexed" -> {}, "Rows" -> { Offset[0.2], { Offset[0.4]}, Offset[0.2]}, "RowsIndexed" -> {}}}], Cell[ StyleData["Box", "Presentation"], CellMargins -> {{72, Inherited}, {Inherited, Inherited}}, FontSize -> 18], Cell[ StyleData["Box", "SlideShow"], CellMargins -> {{100, 50}, {Inherited, Inherited}}], 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, FrameMargins -> True}, GridBoxOptions -> { GridBoxAlignment -> { "Columns" -> {{Center}}, "ColumnsIndexed" -> {}, "Rows" -> {{Top}}, "RowsIndexed" -> {}}, GridBoxSpacings -> {"Columns" -> { Offset[0.28], { Offset[1.4]}, Offset[0.28]}, "ColumnsIndexed" -> {}, "Rows" -> { Offset[0.2], { Offset[0.4]}, Offset[0.2]}, "RowsIndexed" -> {}}}], Cell[ StyleData["DoubleBox", "Presentation"], CellMargins -> {{72, Inherited}, {Inherited, Inherited}}, FontSize -> 18], Cell[ StyleData["DoubleBox", "SlideShow"], CellMargins -> {{100, 50}, {Inherited, Inherited}}], 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, FrameMargins -> True}, GridBoxOptions -> {GridBoxSpacings -> {"Columns" -> { Offset[0.28], { Offset[0.7]}, Offset[0.28]}, "ColumnsIndexed" -> {}, "Rows" -> { Offset[0.2], { Offset[0.4]}, Offset[0.2]}, "RowsIndexed" -> {}}}], Cell[ StyleData["1ColumnBox", "Presentation"], CellMargins -> {{72, Inherited}, {Inherited, Inherited}}, FontSize -> 18], Cell[ StyleData["1ColumnBox", "SlideShow"], CellMargins -> {{100, 50}, {Inherited, Inherited}}], 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, FrameMargins -> True}, GridBoxOptions -> {GridBoxItemSize -> {"Columns" -> { Scaled[0.31], { Scaled[0.67]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, "RowsIndexed" -> {}}}], Cell[ StyleData["2ColumnBox", "Presentation"], CellMargins -> {{72, Inherited}, {Inherited, Inherited}}, FontSize -> 18], Cell[ StyleData["2ColumnBox", "SlideShow"], CellMargins -> {{100, 50}, {Inherited, Inherited}}], 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, FrameMargins -> True}, GridBoxOptions -> {GridBoxItemSize -> {"Columns" -> {{ Scaled[0.46]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, "RowsIndexed" -> {}}}], Cell[ StyleData["2ColumnEvenBox", "Presentation"], CellMargins -> {{72, Inherited}, {Inherited, Inherited}}, FontSize -> 18], Cell[ StyleData["2ColumnEvenBox", "SlideShow"], CellMargins -> {{100, 50}, {Inherited, Inherited}}], 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, FrameMargins -> True}, GridBoxOptions -> { GridBoxAlignment -> { "Columns" -> {Right, {Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, "RowsIndexed" -> {}}, GridBoxItemSize -> {"Columns" -> {{ Scaled[0.35]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, "RowsIndexed" -> {}}, GridBoxSpacings -> {"Columns" -> { Offset[0.28], { Offset[1.05]}, Offset[0.28]}, "ColumnsIndexed" -> {}, "Rows" -> { Offset[0.2], { Offset[0.4]}, Offset[0.2]}, "RowsIndexed" -> {}}}], Cell[ StyleData["2ColumnSmallBox", "Presentation"], CellMargins -> {{72, Inherited}, {Inherited, Inherited}}, FontSize -> 18], Cell[ StyleData["2ColumnSmallBox", "SlideShow"], CellMargins -> {{100, 50}, {Inherited, Inherited}}], 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, FrameMargins -> True}, GridBoxOptions -> {GridBoxItemSize -> {"Columns" -> {{ Scaled[0.32]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, "RowsIndexed" -> {}}}], Cell[ StyleData["3ColumnBox", "Presentation"], CellMargins -> {{72, Inherited}, {Inherited, Inherited}}, FontSize -> 18], Cell[ StyleData["3ColumnBox", "SlideShow"], CellMargins -> {{100, 50}, {Inherited, Inherited}}], 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, FrameMargins -> True}, GridBoxOptions -> { GridBoxAlignment -> { "Columns" -> {Right, Center, {Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, "RowsIndexed" -> {}}, GridBoxItemSize -> {"Columns" -> {{ Scaled[0.24]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, "RowsIndexed" -> {}}, GridBoxSpacings -> {"Columns" -> { Offset[0.28], { Offset[1.05]}, Offset[0.28]}, "ColumnsIndexed" -> {}, "Rows" -> { Offset[0.2], { Offset[0.4]}, Offset[0.2]}, "RowsIndexed" -> {}}}], Cell[ StyleData["3ColumnSmallBox", "Presentation"], CellMargins -> {{72, Inherited}, {Inherited, Inherited}}, FontSize -> 18], Cell[ StyleData["3ColumnSmallBox", "SlideShow"], CellMargins -> {{100, 50}, {Inherited, Inherited}}], 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, FrameMargins -> True}, GridBoxOptions -> {GridBoxItemSize -> {"Columns" -> { Scaled[0.13], Scaled[0.35], Scaled[0.13], { Scaled[0.35]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, "RowsIndexed" -> {}}}], Cell[ StyleData["4ColumnBox", "Presentation"], CellMargins -> {{72, Inherited}, {Inherited, Inherited}}, FontSize -> 18], Cell[ StyleData["4ColumnBox", "SlideShow"], CellMargins -> {{100, 50}, {Inherited, Inherited}}], 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, FrameMargins -> True}, GridBoxOptions -> {GridBoxItemSize -> {"Columns" -> {{ Scaled[0.202]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, "RowsIndexed" -> {}}}], Cell[ StyleData["5ColumnBox", "Presentation"], CellMargins -> {{72, Inherited}, {Inherited, Inherited}}, FontSize -> 18], Cell[ StyleData["5ColumnBox", "SlideShow"], CellMargins -> {{100, 50}, {Inherited, Inherited}}], 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 -> 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