(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.1' 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[ 15872, 291]*) (*NotebookOutlinePosition[ 96311, 3044]*) (* CellTagsIndexPosition[ 96267, 3040]*) (*WindowFrame->Normal*) Notebook[{ Cell[BoxData[ \(\(\( (*\ Inverse\ Extensions\ and\ Isomorphism\ Functions\ *) \)\(\n\)\(\n\)\(\n\ \)\( (*\ \(\(\(\(BasInvExts[]\ --\)--\)--\)--\) - \(--\(--\(--\(--\(--\(--\(\ --\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(----\)\)\)\)\)\ \)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\ *) \)\(\n\)\(\n\)\( (*\ Gives\ all\ inverse\ order\ extensions\ of\ \(\(givpst\)\(.\)\)\ \ *) \)\(\ \)\(\n\)\(\n\)\( (*\ Utils\ \(Needed : \ PllOff[]\), \ \(\(CmprssBiList[]\)\(.\)\)\ *) \)\(\t\)\(\n\)\(\n\ \)\(\(BasInvExts[givpst_]\ := \ Module[{labform, pairlst}, \n\n\t (*\ Label\ each\ child\ list\ with\ the\ name\ of\ its\ \(\(element\)\ \(.\)\)\ *) \n\t labform\ = \ Map[\ {givpst[\([#]\)], #} &, \ Range[Length[givpst]]\ ]; \n\n\t (*\ Initialize\ big\ list\ of\ \n\t{list\ of\ partial\ black\ pull - off\ sequences, \ remaining\ blue\ filter}' \(\(s\)\(.\)\)\ *) \n\t pairlst\ = \ {{\ {{}}, \ labform\ }}; \n\n\t Do[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ Iteratively\ pull\ off\ all\ but\ one\ black\ \ \(\(element\)\(.\)\)\ *) \n\t\t\n\t\tpairlst\ = \ Flatten[\n\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ Replace\ each\ pair\ with\ a\ list\ of\ descendant\ \ \(\(pairs\)\(.\)\)\ *) \n\t\t\tMap[ Function[ x, \n\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ Each\ min\ elt\ gives\ rise\ to\ one\ descendant\ \ \(\(pair\)\(.\)\)\ *) \n\t\t\t\tMap[ Function[ y, \ \ \ \n\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ Add\ this\ min\ elt\ to\ each\ black\ pull - off\ \(\(sequence\)\(.\)\)\ *) \n\t\t\t\t\t{Map[\ Append[#, y] &, \ x[\([1]\)]\ ], \n\t\t\t\t\t\tPllOff[ x[\([2]\)], \ {y}]\ (*\ Remove\ min\ elt\ from\ blue\ \(\(filter\)\(.\)\)\ \ *) \n\t\t\t\t\t}], \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ End\ of\ \(\(Function\)\([\)\(y\)\(\ \)\)*) \ \n\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ List\ of\ minimal\ elements\ in\ remaining\ blue\ \ \(\(filter\)\(.\)\)\ *) \n\t\t\t\t\tMap[\ #[\([2]\)] &, \ Select[ x[\([2]\)], #[\([1]\)] \\[Equal] {} &]\ ]\n\t\t\t\t\ ]\ \ \ \ \n\n\t\t\t], pairlst]\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ End\ of\ \(\(Map\)\([\)\(\(Function\)\([\)\(x\)\(\ \)\)\)\ *) \n\n\t\t, 1]; \ \ \ \ \ \ (*\ Flatten\ merges\ all\ the\ results\ from\ various\ old\ \ \(\(pairs\)\(.\)\)\ *) \n\t\t\n\t\t (*\ Every\ other\ time\ collect\ pairs\ with\ same\ remaining\ blue\ \ \(\(filter\)\(.\)\)\ *) \n\t\tIf[\ \((yel > 3\ && \ Mod[yel, 2] \\[Equal] 0)\)\ \\[Or] \ Length[pairlst]\ > \ 79, \n\t\t\tpairlst\ = \ CmprssBiList[\ pairlst, \ 2, \ Flatten[#, 1] &\ ]\ \ \n\t\t]\n\t\n\t, {yel, Length[givpst] - 1}]; \ \ (*\ End\ of\ Do\ \(\(loop\)\(.\)\)\ *) \n\n\t (*\ Append\ last\ blue\ element\ to\ ends\ of\ pull - off\ \(\(sequences\)\(.\)\)\ *) \n\t Flatten[\n\t\tMap[ Function[ x, \n\t\t\tMap[\ Append[#, x[\([2, 1, 2]\)]] &, \ x[\([1]\)]\ ]\n\t\t], pairlst]\n\t, 1]\n];\)\n\n\n (*\ \(\(\(\(\(\(\(\(\(\(\(\(\(\(\(\(\(\(\(\(\(\(\(\ \(\(\(\(\(InvExtsWRI[]\ --\)--\)--\)--\)--\)--\)--\)--\)--\)--\)--\)--\)--\)\ --\)--\)--\)--\)--\)--\)--\)--\)--\)--\)--\)--\)--\)--\)--\)\(-\)\ *) \n\n \ (*\ Gives\ all\ inverse\ order\ extensions\ of\ a\ poset\ in\ child\ \(\(form\ \)\(.\)\)\ *) \n\n (*\ Utils\ \(Needed : \ AntiChnsIdls[]\), InvStdTblx[], \(\(Relabl[]\)\(.\)\)\ *) \n (*\ Data\ \(Needed : \ \(\(stdisos\)\(*\)\)\), \ \(\(lookups\)\(*\)\), \ and\ invexts*, \ for\ 4\ <= \ \(\(*\)\(\ \)\(\(<=\)\(\ \)\(7\)\)\), \ with\ \n\tinvexts*\ stored\ as\ the\ variable\ invrsex[*]\ by\ calling\ \ \(\(program\)\(.\)\)\ *) \ \n\n \(InvExtsWRI[givpst_]\ := \ \(InvExtsWRI[givpst]\ = \ Module[{np = Length[givpst]}, \n\t Which[\n\t\tnp\ > \ 7, \n\t\t (*\ For\ large\ posets, \ we\ find\ the\ inverse\ extensions\ recursively\ by\ \n\t\t\t\ breaking\ the\ poset\ into\ an\ ideal\ and\ its\ corresponding\ filter\ and\n\ \t\t\tfinding\ their\ inverse\ extensions . \ \ These\ are\ then\ joined\ in\ \ all\ \n\t\t\tpossible\ ways\ to\ give\ us\ all\ inverse\ order\ extensions\ \ of\ \(\(givpst\)\(.\)\)\ *) \n\t\tFlatten[\n\t\t\tMap[\ \ \ \ \ (*\ Combine\ ideal/ filter\ inverse\ ext\ pairs\ in\ all\ \(\(ways\)\(.\)\ \)\ *) \ \ \ \ \ \ \ \ \n\t\t\t\tOuter[Join, #[\([1]\)], #[\([2]\)], 1] &, \n\t\t\t\tMap[\ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ Get\ inverse\ exts\ for\ ideals\ and\ \ \(\(filters\)\(.\)\)\ *) \n\t\t\t\t\tInvStdTblx[givpst, #, InvExtsWRI] &, \n\t\t\t\t\tMap[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ Create\ ideal/ filter\ pairs\ for\ *) \n\t\t\t\t\t\t{#, Complement[ Range[Length[ givpst]], #]} &, \n\t\t\t\t\t\tSelect[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ all\ ideals\ of\ length\ np/ 2. \ *) \n\t\t\t\t\t\t\t\(AntiChnsIdls[ givpst]\)[\([2]\)], \n\t\t\t\t\t\t\t\((Length[#] \\[Equal] Floor[np/ 2])\) &\n\t\t\t\t\t\t]\ \n\t\t\t\t\t], \n\t\ \t\t\t\t{2}\n\t\t\t\t]\ \n\t\t\t], \n\t\t2], \ \n\t\n\t\t3\ < \ np\ < \ 8, \n\t\t (*\ For\ posets\ with\ a\ length\ in\ this\ range, \ the\ inverse\ extensions\n\t\t\tare\ found\ by\ accessing\ \ info\ in\ previously\ created\ \(\(files\)\(.\)\)\ *) \n\t\tMap[\n\t\t\t\ Function[x, \n\t\t\t\tMap[\ \(Ordering[s[givpst]]\)[\([#]\)] &, \ x\ ]\n\t\t\t], \n\t\t\t\(invrsex[np]\)[\([\ m[Relabl[givpst, Ordering[s[givpst]]]]\ ]\)]\n\t\t], \n\n\t\t (*\ For\ the\ remaining\ cases, \ we\ can\ uniquely\ determine\ the\ poset\ by\ its\n\t\t\tsize\ \ and\ one\ additional\ test . \ \ The\ known\ inverse\ extensions\ for\ the\n\ \t\t\tposet\ are\ then\ \(\(returned\)\(.\)\)\ *) \n\n\n\n\n\n\t\tnp\ \ \\[Equal] \ 3\ && \ Flatten[givpst]\ \\[Equal] \ {}, \n\t\t{{1, 2, 3}, {1, 3, 2}, {2, 1, 3}, {2, 3, 1}, {3, 1, 2}, {3, 2, 1}}, \n\n\t\tnp\ \\[Equal] \ 3\ && \ Flatten[givpst]\ \\[Equal] \ {2}, \n\t\t{{1, 2, 3}, {2, 1, 3}, {2, 3, 1}}, \n\n\t\tnp\ \\[Equal] \ 3\ && \ givpst[\([2]\)]\ \\[Equal] \ {}\ && \ givpst[\([3]\)]\ \\[Equal] \ {1}, \n\t\t{{1, 2, 3}, {1, 3, 2}, {2, 1, 3}}, \n\n\t\tnp\ \\[Equal] \ 3\ && \ givpst[\([2]\)]\ \\[Equal] \ {1}\ && \ givpst[\([3]\)]\ \\[Equal] \ {}, \n\t\t{{1, 2, 3}, {1, 3, 2}, {3, 1, 2}}, \n\n\t\tnp\ \\[Equal] \ 3\ && \ givpst[\([3]\)]\ \\[Equal] \ {1, 2}, \n\t\t{{1, 2, 3}, {2, 1, 3}}, \n\n\t\tnp\ \\[Equal] \ 3\ && \ givpst[\([2]\)]\ \\[Equal] \ {1}\ && \ givpst[\([3]\)]\ \\[Equal] \ {1}, \n\t\t{{1, 2, 3}, {1, 3, 2}}, \n\n\t\tnp\ \\[Equal] \ 3\ && \ givpst[\([2]\)]\ \\[Equal] \ {1}\ && \ givpst[\([3]\)]\ \\[Equal] \ {2}, \n\t\t{{1, 2, 3}}, \n\n\t\tnp\ \\[Equal] \ 2\ && \ givpst[\([2]\)]\ \\[Equal] \ {}, \n\t\t{{1, 2}, {2, 1}}, \n\n\t\tnp\ \\[Equal] \ 2\ && \ givpst[\([2]\)]\ \\[Equal] \ {1}, \n\t\t{{1, 2}}, \n\n\t\tnp\ \\[Equal] \ 1, \n\t\t{{1}}\n\t]\ \n]\);\)\n\n\n (*\ \(\(\(\(StdFormIso[]\ \ --\)--\)--\)--\) - \(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(\ --\(--\(--\(--\(--\(--\(--\(--\(----\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\ \)\)\ *) \n\n (*\ Gives\ the\ standard\ form\ of\ givpst\ and\ the\ black - to - yellow\ transformation\ \n\tto\ \(\(it\)\(.\)\)\ *) \n\n (*\ Utils\ \(Needed : \ PllOff[]\), \ NewChdLst[], \ \(\(CmprssBiList[]\)\(.\)\)\ *) \n\n \(StdFormIso[givpst_]\ := \ Module[{leng = Length[givpst], purplpst = {}, labform, \n\tpairlst, earlst, candid, yel}, \n\n\t labform\ = \ Map[\ {givpst[\([#]\)], #} &, \ Range[Length[givpst]]\ ]; \n\t pairlst\ = \ {{\ {{}}, \ labform\ }}; \n\n\t Do[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ Iteratively\ pull\ off\ all\ but\ one\ black\ \ \(\(element\)\(.\)\)\ *) \n\t\tpairlst\ = \ Flatten[\n\t\t\t\ \ \ \ \ \ \ \ \ \ \ (*\ Replace\ each\ pair\ with\ a\ list\ of\ descendant\ \ \(\(pairs\)\(.\)\)\ *) \n\t\t\tMap[ Function[ x, \ \t\n\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ (*\ Each\ min\ elt\ gives\ rise\ to\ one\ descendant\ \ \(\(pair\)\(.\)\)\ *) \n\t\t\tMap[ Function[ y, \ \ \ \n\t\t\t\t\t\ \ \ \ \ \ (*\ Add\ this\ min\ elt\ to\ each\ black\ pull - off\ \(\(sequence\)\(.\)\)\ *) \n\t\t\t\t\t{Map[\ Append[#, y] &, \ x[\([1]\)]\ ], \n\t\t\t\t\t\n\t\t\t\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ Remove\ min\ elt\ from\ blue\ \(\(filter\)\(.\)\)\ \ *) \n\t\t\t\t\t\tPllOff[\ x[\([2]\)], \ {y}\ ]\n\t\t\t\t\t}], \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ End\ of\ \(\(Function\)\([\)\(y\)\(\ \)\)*) \n\t\t\t\t\ \t\ \ \ \ \ (*\ List\ of\ minimal\ elements\ in\ remaining\ blue\ \ \(\(filter\)\(.\)\)\ *) \n\t\t\t\t\tMap[\ #[\([2]\)] &, \ Select[ x[\([2]\)], #[\([1]\)] \\[Equal] {} &]\ ]\n\t\t\t\t\ ]\ \ \ \n\t\t\n\t\t\t], pairlst]\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ End\ of\ \(\(Map\)\([\)\(\(Function\)\([\)\(x\)\(\ \)\)\)\ *) \n\n\t\t, 1]; \ \ \ \ \ \ (*\ Flatten\ merges\ all\ the\ results\ from\ various\ old\ \ \(\(pairs\)\(.\)\)\ *) \n\n\t\t (*\ Find\ earliest\ new\ yellow\ child\ \(\(list\)\(.\)\)\ *) \n\t\t\ (*\ Create\ late\ dummy\ object\ for\ first\ rolling\ \ \(\(comparison\)\(.\)\)\ *) \n\t\tearlst\ = \ Range[leng]; \n\n\t\tDo[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ Run\ thru\ new\ list\ of\ \(\(pairs\)\(.\)\)\ *) \n\t\t\t\n\t\ \t\tcandid\ = \ \(Sort[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ Order\ new\ yellow\ child\ \(\(lists\)\(.\)\)\ *) \n\t \ (*\ Create\ new\ yel\ child\ list\ for\ each\ part' l\ black\ pull - off\ \(\(sequence\)\(.\)\)\ *) \n\t\t\t\tMap[\ NewChdLst[givpst, #] &, \ pairlst[\([jf, 1]\)]\ ]\n\t\t\t]\)[\([1]\)]; \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\(\(\ \)\(]\)\)\ for\ \(\(Sort\)\([\)\(\ \)\(and\ then\ \ take\ \(\(winner\)\(.\)\)\)\(\ \)\)*) \n\n\t\t\t\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ Rolling\ Comparison\ *) \n\t\t\tearlst\ = \ If[\ Order[earlst, candid]\ > \ \(-1\), \ earlst, \ candid\ ]\n\n\t\t, {jf, \ Length[pairlst]}]; \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\(\(\ \)\(]\)\)\ for\ \(\(Do\)\([\)\(\ \)\)*) \n\n\t\t \ (*\ Add\ next\ child\ list\ to\ standard\ form\ \(\(poset\)\(.\)\)\ *) \n\t\t\ AppendTo[purplpst, earlst]; \n\n\t\t (*\ Delete\ losing\ partial\ black\ pull - off\ \(\(sequences\)\(.\)\)\ *) \n\t\tpairlst\ = \ Map[Function[ x, \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ x\ is\ one\ pair\ in\ \(\(pairlst\)\(.\)\)\ *) \n\t\t\t\ MapAt[Function[y, \ \ \ (*\ y\ is\ its\ list\ of\ partial\ black\ \(\(sequences\)\ \(.\)\)\ *) \n\t\t\t\tSelect[ y, \ \((\ NewChdLst[givpst, #] \\[Equal] earlst\ )\) &\ ]\n\t\t\t], \ x, \ 1]\ \ \n\t\t], \ pairlst]; \ \ \n\n\t\t (*\ Delete\ blue\ filters\ with\ no\ contending\ pull - off\ \(\(sequences\)\(.\)\)\ *) \n\t\tpairlst\ = \ Select[\ pairlst, \ \((#[\([1]\)] \\[NotEqual] {})\) &\ ]; \n\n\t\t \ (*\ Compress\ pairlst\ when\ it\ gets\ \(\(long\)\(.\)\)\ *) \n\t\tIf[\ Length[pairlst]\ > \ 100, \ \n\t\t\tpairlst\ = \ CmprssBiList[\ pairlst, \ 2, \ Flatten[#, 1] &\ ]\ \n\t\t]\n\t, {yel, leng}]; \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (*\ End\ of\ Do\ loop\ *) \n\n\t (*\ Return\ \(\({standard\ form, \ earliest\ inverse\ isomorphism\ to\ it}\)\(.\)\)\ *) \n\t{\ purplpst, \ pairlst[\([1, 1, 1]\)]\ }\n];\)\)\)\)], "Input"] }, FrontEndVersion->"5.1 for Microsoft Windows", ScreenRectangle->{{0, 1152}, {0, 773}}, ScreenStyleEnvironment->"Working", WindowToolbars->"RulerBar", PageWidth->Infinity, WindowSize->{595, 719}, WindowMargins->{{239, Automatic}, {0, Automatic}}, PrintingCopies->1, PrintingPageRange->{Automatic, Automatic}, PageHeaders->{{Inherited, Inherited, Inherited}, {None, Inherited, None}}, PageHeaderLines->{Inherited, False}, PrintingOptions->{"PrintingMargins"->{{69.375, 106.813}, {63.5625, 69.1875}}, "PrintCellBrackets"->False, "PrintRegistrationMarks"->True, "PrintMultipleHorizontalPages"->False}, AutoIndent->False, ShowSpecialCharacters->False, TabSpacings->3, AutoSpacing->False, LineBreakWithin->False, LineIndent->0, FontFamily->"Courier", 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, "VerticalScrollRange"->Fit}, 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->"Helvetica", 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->"Times", FontWeight->"Bold"], 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]] }, Closed]], 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"], 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->"Helvetica", FontSize->9], 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]] }, Closed]], 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->{{30, 0}, {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->{{30, Inherited}, {8, 10}}, LineSpacing->{1, 0}, FontSize->16], Cell[StyleData["Input", "Condensed"], CellMargins->{{30, 0}, {2, 3}}, FontSize->11], Cell[StyleData["Input", "SlideShow"]], Cell[StyleData["Input", "Printout"], CellMargins->{{30, 0}, {4, 6}}, LinebreakAdjustments->{0.85, 2, 10, 1, 1}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["InputOnly"], CellMargins->{{30, 0}, {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->{{30, Inherited}, {8, 10}}, LineSpacing->{1, 0}, FontSize->16], Cell[StyleData["InputOnly", "Condensed"], CellMargins->{{30, 0}, {2, 3}}, FontSize->11], Cell[StyleData["InputOnly", "SlideShow"]], Cell[StyleData["InputOnly", "Printout"], CellMargins->{{30, 0}, {4, 6}}, LinebreakAdjustments->{0.85, 2, 10, 1, 1}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Output"], CellMargins->{{36, 0}, {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->{{36, Inherited}, {10, 8}}, LineSpacing->{1, 0}, FontSize->16], Cell[StyleData["Output", "Condensed"], CellMargins->{{36, Inherited}, {3, 2}}, FontSize->11], Cell[StyleData["Output", "SlideShow"]], Cell[StyleData["Output", "Printout"], CellMargins->{{36, 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[CellGroupData[{ Cell[StyleData["2ColumnTable"], CellMargins->{{35, 4}, {0, 8}}, CellHorizontalScrolling->True, LineIndent->0, StyleMenuListing->None, GridBoxOptions->{ColumnWidths->{0.34, 0.64}, ColumnAlignments->{Left}}], Cell[StyleData["2ColumnTable", "Presentation"], FontSize->18], Cell[StyleData["2ColumnTable", "SlideShow"]], Cell[StyleData["2ColumnTable", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["2ColumnEvenTable"], CellMargins->{{35, 4}, {0, 8}}, CellHorizontalScrolling->True, LineIndent->0, StyleMenuListing->None, GridBoxOptions->{ColumnWidths->0.49, ColumnAlignments->{Left}}], Cell[StyleData["2ColumnEvenTable", "Presentation"], FontSize->18], Cell[StyleData["2ColumnEvenTable", "SlideShow"]], Cell[StyleData["2ColumnEvenTable", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["3ColumnTable"], CellMargins->{{35, 4}, {0, 8}}, CellHorizontalScrolling->True, LineIndent->0, StyleMenuListing->None, GridBoxOptions->{ColumnWidths->{0.28, 0.28, 0.43}, ColumnAlignments->{Left}}], Cell[StyleData["3ColumnTable", "Presentation"], FontSize->18], Cell[StyleData["3ColumnTable", "SlideShow"]], Cell[StyleData["3ColumnTable", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->9] }, Closed]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Slide Show Styles", "Section"], Cell[CellGroupData[{ Cell[StyleData["SlideShowNavigationBar"], Editable->False, CellFrame->True, CellMargins->{{0, 0}, {3, 3}}, CellElementSpacings->{"CellMinHeight"->0.8125}, CellGroupingRules->{"SectionGrouping", 30}, CellFrameMargins->False, CellFrameColor->GrayLevel[1], CellFrameLabelMargins->False, TextAlignment->Center, CounterIncrements->"SlideShowNavigationBar", StyleMenuListing->None, FontSize->10, Background->GrayLevel[0.8], Magnification->1, GridBoxOptions->{GridBaseline->Center, RowSpacings->0, ColumnSpacings->0, ColumnWidths->{3.5, 3.5, 3.5, 3.5, 13, 5, 4}, RowAlignments->Baseline, ColumnAlignments->{ Center, Center, Center, Center, Center, Center, Right, Center}}], Cell[StyleData["SlideShowNavigationBar", "Presentation"]], Cell[StyleData["SlideShowNavigationBar", "SlideShow"], Deletable->False, ShowCellBracket->False, CellMargins->{{-1, -1}, {-1, -1}}, PageBreakAbove->True, CellFrameMargins->{{1, 1}, {0, 0}}], Cell[StyleData["SlideShowNavigationBar", "Printout"], CellMargins->{{18, 4}, {4, 4}}, LineSpacing->{1, 3}, FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["SlideShowSection"], CellFrame->{{0, 0}, {0, 0.5}}, CellMargins->{{0, 0}, {10, 0}}, CellGroupingRules->{"SectionGrouping", 40}, PageBreakBelow->False, CellFrameMargins->{{12, 4}, {6, 12}}, 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 -> {{-0.175, 0}, {0, 0}}]}], TextForm], "webMathematica"->FormBox[ RowBox[ {"web", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.17499999999999999, 0}, {0, 0}}]}], TextForm], Inherited}, CounterIncrements->"Section", CounterAssignments->{{"Subsection", 0}, {"Subsubsection", 0}}, StyleMenuListing->None, FontFamily->"Helvetica", FontSize->18, FontWeight->"Plain", FontColor->GrayLevel[1], Background->RGBColor[0.408011, 0.440726, 0.8]], Cell[StyleData["SlideShowSection", "Presentation"], CellFrameMargins->{{20, 10}, {10, 18}}, FontSize->27], Cell[StyleData["SlideShowSection", "SlideShow"], ShowCellBracket->False, PageBreakAbove->True], Cell[StyleData["SlideShowSection", "Printout"], CellMargins->{{18, 30}, {0, 30}}, CellFrameMargins->5, FontSize->14] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["SlideHyperlink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontSize->26, FontColor->GrayLevel[0.400015], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookLocate[ #2]}]&), Active->True, ButtonMinHeight->0.85, ButtonMargins->0.5, ButtonNote->None}], Cell[StyleData["SlideHyperlink", "Presentation"], CellMargins->{{14, 10}, {6, 12}}, FontSize->36], Cell[StyleData["SlideHyperlink", "SlideShow"]], Cell[StyleData["SlideHyperlink", "Printout"], FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["SlideTOCLink"], CellMargins->{{24, Inherited}, {Inherited, Inherited}}, StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Helvetica", ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookLocate[ #2]}]&), Active->True, ButtonMargins->1.5, ButtonNote->ButtonData}], Cell[StyleData["SlideTOCLink", "Presentation"], CellMargins->{{35, 10}, {8, 8}}, FontSize->18], Cell[StyleData["SlideTOCLink", "SlideShow"]], Cell[StyleData["SlideTOCLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["SlideTOC"], CellDingbat->"\[Bullet]", CellMargins->{{18, Inherited}, {Inherited, Inherited}}, StyleMenuListing->None, FontFamily->"Helvetica"], Cell[StyleData["SlideTOC", "Presentation"], CellMargins->{{25, 10}, {10, 5}}, FontSize->18], Cell[StyleData["SlideTOC", "SlideShow"], FontSize->14], Cell[StyleData["SlideTOC", "Printout"], FontSize->10, FontColor->GrayLevel[0]] }, Closed]] }, Closed]] }, Open ]] }] ] (******************************************************************* Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within Mathematica. *******************************************************************) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[1754, 51, 14114, 238, 4150, "Input"] } ] *) (******************************************************************* End of Mathematica Notebook file. *******************************************************************)