(* Content-type: application/vnd.wolfram.mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 13.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] NotebookDataLength[ 286181, 6890] NotebookOptionsPosition[ 127882, 3866] NotebookOutlinePosition[ 270693, 6562] CellTagsIndexPosition[ 268884, 6512] WindowTitle->ExtendedGroebnerBasis | Definition Notebook WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell["ExtendedGroebnerBasis", "Title", CellTags->{"Name", "TemplateCell", "Title"}, CellID->844905886], Cell["\<\ Compute a Groebner basis and a conversion matrix from the input polynomials \ to the basis\ \>", "Text", CellTags->{"Description", "TemplateCell"}, CellID->104721276], Cell[CellGroupData[{ Cell[TextData[{ "Definition", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"Function", Cell[ BoxData[ FrameBox[ Cell[ "Define your function using the name you gave in the Title line \ above. You can add input cells and extra code to define additional input \ cases or prerequisites. All definitions, including dependencies, will be \ included in the generated resource function.\n\nThis section should be \ evaluated before creating the Examples section below.", "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoFunction"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Section", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "Function"}, DefaultNewCellStyle->"Input", CellTags->{"Definition", "Function", "TemplateCellGroup"}, CellID->72845326], Cell[BoxData[ RowBox[{ RowBox[{"ExtendedGroebnerBasis", "[", "args__", "]"}], ":=", RowBox[{ "GroebnerBasis`BasisAndConversionMatrix", "[", "args", "]"}]}]], "Input", CellChangeTimes->{{3.777996009113282*^9, 3.7779960314639187`*^9}}, CellLabel->"In[24]:=", CellID->96801627] }, Open ]], Cell[CellGroupData[{ Cell["Documentation", "Section", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "Documentation"}, CellTags->{"Documentation", "TemplateSection"}, CellID->429741307], Cell[CellGroupData[{ Cell[TextData[{ "Usage", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"Usage", Cell[ BoxData[ FrameBox[ Cell[ TextData[{ "Document input usage cases by first typing an input structure, \ then pressing ", Cell[ BoxData[ StyleBox[ DynamicBox[ ToBoxes[ If[$OperatingSystem === "MacOSX", "\[ReturnKey]", "\[EnterKey]"], StandardForm], SingleEvaluation -> True, Evaluator -> "System"], ShowStringCharacters -> False]]], " to add a brief explanation of the function\[CloseCurlyQuote]s \ behavior for that structure. Pressing ", Cell[ BoxData[ StyleBox[ DynamicBox[ ToBoxes[ If[$OperatingSystem === "MacOSX", "\[ReturnKey]", "\[EnterKey]"], StandardForm], SingleEvaluation -> True, Evaluator -> "System"], ShowStringCharacters -> False]]], " repeatedly will create new cases as needed. Every input usage \ case defined above should be demonstrated explicitly here.\n\nSee existing \ documentation pages for examples."}], "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoUsage"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Subsection", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "Usage"}, DefaultNewCellStyle->{"UsageInputs", FontFamily -> "Source Sans Pro"}, CellTags->{"TemplateCellGroup", "Usage"}, CellID->542419310], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"ExtendedGroebnerBasis", "[", RowBox[{ StyleBox["polys", "TI"], ",", StyleBox["vars", "TI"]}], "]"}]], "UsageInputs", FontFamily->"Source Sans Pro", CellID->972322201], Cell[TextData[{ "gives the Groebner basis ", Cell[BoxData["\[ScriptCapitalG]"], "InlineFormula", FontFamily->"Source Sans Pro"], " for the polynomial list ", Cell[BoxData[ StyleBox["polys", "TI"]], "InlineFormula", FontFamily->"Source Sans Pro"], " along with a polynomial conversion matrix \[ScriptCapitalM] satisfying ", Cell[BoxData[ RowBox[{"\[ScriptCapitalG]", "=", RowBox[{"\[ScriptCapitalM]", "\[CenterDot]", StyleBox["polys", "TI"]}]}]], "InlineFormula", FontFamily->"Source Sans Pro"], "." }], "UsageDescription", CellID->522608992] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Details & Options", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"Notes", Cell[ BoxData[ FrameBox[ Cell[ "Give a detailed explanation of how the function is used and \ configured (e.g. acceptable input types, result formats, options \ specifications, background information). This section may include multiple \ cells, bullet lists, tables, hyperlinks and additional styles/structures as \ needed.\n\nAdd any other information that may be relevant, such as when the \ function was first discovered or how and why it is used within a given field. \ Include all relevant background or contextual information related to the \ function, its development, and its usage.", "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoNotes"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Subsection", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "Notes"}, DefaultNewCellStyle->"Notes", CellTags->{"Details & Options", "Notes", "TemplateCellGroup"}, CellID->908801236], Cell[TextData[{ Cell[BoxData["ExtendedGroebnerBasis"], "InlineFormula", FontFamily->"Source Sans Pro"], " takes the same optional arguments and options as ", Cell[BoxData[ TagBox[ ButtonBox[ StyleBox["GroebnerBasis", "SymbolsRefLink", ShowStringCharacters->True, FontFamily->"Source Sans Pro"], BaseStyle->Dynamic[ FEPrivate`If[ CurrentValue["MouseOver"], { "Link", FontColor -> RGBColor[0.854902, 0.396078, 0.145098]}, { "Link"}]], ButtonData->"paclet:ref/GroebnerBasis", ContentPadding->False], MouseAppearanceTag["LinkHand"]]], "InlineFormula", FontFamily->"Source Sans Pro"], "." }], "Notes", CellTags->"TabNext", CellID->457411494] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Examples", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"Examples", Cell[ BoxData[ FrameBox[ Cell[ TextData[{ "Demonstrate the function\[CloseCurlyQuote]s usage, starting with \ the most basic use case and describing each example in a preceding text cell.\ \n\nWithin a group, individual examples can be delimited by inserting page \ breaks between them (either using ", Cell[ BoxData[ StyleBox[ TemplateBox[{ StyleBox[ "\"[Right-click]\"", FontFamily -> "Source Sans Pro", FontWeight -> "SemiBold", FontColor -> GrayLevel[0.286275], FontSize -> 14, StripOnInput -> False], StyleBox[ "\" \[FilledRightTriangle] \"", FontFamily -> "Source Sans Pro", FontSize -> 13.86, FontColor -> GrayLevel[0.5], StripOnInput -> False], StyleBox[ "\"Insert Page Break\"", FontFamily -> "Source Sans Pro", FontWeight -> "SemiBold", FontColor -> GrayLevel[0.286275], FontSize -> 14, StripOnInput -> False]}, "RowDefault"], ShowStringCharacters -> False]]], " between cells or through the menu using ", Cell[ BoxData[ StyleBox[ TemplateBox[{ StyleBox[ "\"Insert\"", FontFamily -> "Source Sans Pro", FontWeight -> "SemiBold", FontColor -> GrayLevel[0.286275], FontSize -> 14, StripOnInput -> False], StyleBox[ "\" \[FilledRightTriangle] \"", FontFamily -> "Source Sans Pro", FontSize -> 13.86, FontColor -> GrayLevel[0.5], StripOnInput -> False], StyleBox[ "\"Page Break\"", FontFamily -> "Source Sans Pro", FontWeight -> "SemiBold", FontColor -> GrayLevel[0.286275], FontSize -> 14, StripOnInput -> False]}, "RowDefault"], ShowStringCharacters -> False]]], ").\n\nExamples should be grouped into Subsection and \ Subsubsection cells similarly to existing documentation pages. Here are some \ typical Subsection names and the types of examples they normally contain:\n \ ", Cell[ BoxData[ StyleBox[ TemplateBox[{ StyleBox[ "\"\[FilledSmallSquare] \"", FontColor -> RGBColor[0.8, 0.043, 0.008], StripOnInput -> False], StyleBox[ "\"Basic Examples: \"", FontFamily -> "Source Sans Pro", FontWeight -> "SemiBold", FontSize -> 14, StripOnInput -> False]}, "RowDefault"], ShowStringCharacters -> False]]], "most basic function usage\n ", Cell[ BoxData[ StyleBox[ TemplateBox[{ StyleBox[ "\"\[FilledSmallSquare] \"", FontColor -> RGBColor[0.8, 0.043, 0.008], StripOnInput -> False], StyleBox[ "\"Scope: \"", FontFamily -> "Source Sans Pro", FontWeight -> "SemiBold", FontSize -> 14, StripOnInput -> False]}, "RowDefault"], ShowStringCharacters -> False]]], "input and display conventions, standard computational attributes \ (e.g. threading over lists)\n ", Cell[ BoxData[ StyleBox[ TemplateBox[{ StyleBox[ "\"\[FilledSmallSquare] \"", FontColor -> RGBColor[0.8, 0.043, 0.008], StripOnInput -> False], StyleBox[ "\"Options: \"", FontFamily -> "Source Sans Pro", FontWeight -> "SemiBold", FontSize -> 14, StripOnInput -> False]}, "RowDefault"], ShowStringCharacters -> False]]], "available options and parameters for the function\n ", Cell[ BoxData[ StyleBox[ TemplateBox[{ StyleBox[ "\"\[FilledSmallSquare] \"", FontColor -> RGBColor[0.8, 0.043, 0.008], StripOnInput -> False], StyleBox[ "\"Applications: \"", FontFamily -> "Source Sans Pro", FontWeight -> "SemiBold", FontSize -> 14, StripOnInput -> False]}, "RowDefault"], ShowStringCharacters -> False]]], "standard industry or academic applications\n ", Cell[ BoxData[ StyleBox[ TemplateBox[{ StyleBox[ "\"\[FilledSmallSquare] \"", FontColor -> RGBColor[0.8, 0.043, 0.008], StripOnInput -> False], StyleBox[ "\"Properties and Relations: \"", FontFamily -> "Source Sans Pro", FontWeight -> "SemiBold", FontSize -> 14, StripOnInput -> False]}, "RowDefault"], ShowStringCharacters -> False]]], "how the function relates to other functions\n ", Cell[ BoxData[ StyleBox[ TemplateBox[{ StyleBox[ "\"\[FilledSmallSquare] \"", FontColor -> RGBColor[0.8, 0.043, 0.008], StripOnInput -> False], StyleBox[ "\"Possible Issues: \"", FontFamily -> "Source Sans Pro", FontWeight -> "SemiBold", FontSize -> 14, StripOnInput -> False]}, "RowDefault"], ShowStringCharacters -> False]]], "limitations or unexpected behavior a user might experience\n ", Cell[ BoxData[ StyleBox[ TemplateBox[{ StyleBox[ "\"\[FilledSmallSquare] \"", FontColor -> RGBColor[0.8, 0.043, 0.008], StripOnInput -> False], StyleBox[ "\"Neat Examples: \"", FontFamily -> "Source Sans Pro", FontWeight -> "SemiBold", FontSize -> 14, StripOnInput -> False]}, "RowDefault"], ShowStringCharacters -> False]]], "particularly interesting, unconventional, or otherwise unique \ usage"}], "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoExamples"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Section", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "Examples"}, CellTags->{"Examples", "TemplateCellGroup"}, CellID->530638011], Cell[CellGroupData[{ Cell["Basic Examples", "Subsection", TaggingRules->{}, CellID->904125756], Cell["Create a set of polynomials:", "Text", TaggingRules->{}, CellChangeTimes->{{3.7779967955231857`*^9, 3.777996802612316*^9}}, CellID->469758124], Cell[BoxData[ RowBox[{ RowBox[{"polys", "=", RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"x", "^", "2"}], "+", RowBox[{"3", "*", "y"}], "-", RowBox[{"2", "*", RowBox[{"z", "^", "4"}]}], "+", "7"}], ",", RowBox[{ RowBox[{"5", "*", RowBox[{"x", "^", "2"}], "*", "y", "*", "z"}], "-", RowBox[{"4", "*", RowBox[{"y", "^", "2"}], "*", RowBox[{"z", "^", "2"}]}], "+", "3"}], ",", RowBox[{ RowBox[{"x", "^", "2"}], "+", RowBox[{"y", "^", "2"}], "+", RowBox[{"z", "^", "3"}], "-", "6"}]}], "}"}]}], ";"}]], "Input", TaggingRules->{}, CellChangeTimes->{{3.777996805916284*^9, 3.777996836827914*^9}, { 3.777996904149701*^9, 3.777996955038466*^9}, {3.777997001888208*^9, 3.777997013142927*^9}, {3.777997838955612*^9, 3.7779978754280043`*^9}, { 3.7779979307340393`*^9, 3.777997931068791*^9}}, CellLabel->"In[48]:=", CellID->363575345], Cell["First compute its Groebner basis:", "Text", TaggingRules->{}, CellChangeTimes->{{3.7779967955231857`*^9, 3.777996802612316*^9}, { 3.777996967413903*^9, 3.777996974958036*^9}}, CellID->242687760], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"gb1", "=", RowBox[{"GroebnerBasis", "[", RowBox[{"polys", ",", RowBox[{"{", RowBox[{"x", ",", "y", ",", "z"}], "}"}]}], "]"}]}]], "Input", TaggingRules->{}, CellChangeTimes->{{3.7779969791675377`*^9, 3.777996991918541*^9}}, CellLabel->"In[49]:=", CellID->285588559], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"9", "-", RowBox[{"1890", " ", "z"}], "+", RowBox[{"1205", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"14820", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"2794", " ", SuperscriptBox["z", "4"]}], "-", RowBox[{"2756", " ", SuperscriptBox["z", "5"]}], "+", RowBox[{"6198", " ", SuperscriptBox["z", "6"]}], "-", RowBox[{"4256", " ", SuperscriptBox["z", "7"]}], "-", RowBox[{"607", " ", SuperscriptBox["z", "8"]}], "-", RowBox[{"130", " ", SuperscriptBox["z", "9"]}], "-", RowBox[{"2324", " ", SuperscriptBox["z", "10"]}], "+", RowBox[{"304", " ", SuperscriptBox["z", "11"]}], "+", RowBox[{"64", " ", SuperscriptBox["z", "12"]}], "+", RowBox[{"100", " ", SuperscriptBox["z", "13"]}], "+", RowBox[{"200", " ", SuperscriptBox["z", "14"]}]}], ",", RowBox[{ RowBox[{"-", "174568722857469"}], "+", RowBox[{"32134376477706", " ", "y"}], "+", RowBox[{"174412495017740", " ", "z"}], "+", RowBox[{"1978174579982874", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"338799254181097", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"360676216949111", " ", SuperscriptBox["z", "4"]}], "+", RowBox[{"836357857920969", " ", SuperscriptBox["z", "5"]}], "-", RowBox[{"584758935888737", " ", SuperscriptBox["z", "6"]}], "-", RowBox[{"68963401625500", " ", SuperscriptBox["z", "7"]}], "-", RowBox[{"20615441826364", " ", SuperscriptBox["z", "8"]}], "-", RowBox[{"309573453014396", " ", SuperscriptBox["z", "9"]}], "+", RowBox[{"42730628534164", " ", SuperscriptBox["z", "10"]}], "+", RowBox[{"7055457141820", " ", SuperscriptBox["z", "11"]}], "+", RowBox[{"13177425497200", " ", SuperscriptBox["z", "12"]}], "+", RowBox[{"26562952946000", " ", SuperscriptBox["z", "13"]}]}], ",", RowBox[{"249548934638783", "+", RowBox[{"10711458825902", " ", SuperscriptBox["x", "2"]}], "-", RowBox[{"174412495017740", " ", "z"}], "-", RowBox[{"1978174579982874", " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"338799254181097", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"339253299297307", " ", SuperscriptBox["z", "4"]}], "-", RowBox[{"836357857920969", " ", SuperscriptBox["z", "5"]}], "+", RowBox[{"584758935888737", " ", SuperscriptBox["z", "6"]}], "+", RowBox[{"68963401625500", " ", SuperscriptBox["z", "7"]}], "+", RowBox[{"20615441826364", " ", SuperscriptBox["z", "8"]}], "+", RowBox[{"309573453014396", " ", SuperscriptBox["z", "9"]}], "-", RowBox[{"42730628534164", " ", SuperscriptBox["z", "10"]}], "-", RowBox[{"7055457141820", " ", SuperscriptBox["z", "11"]}], "-", RowBox[{"13177425497200", " ", SuperscriptBox["z", "12"]}], "-", RowBox[{"26562952946000", " ", SuperscriptBox["z", "13"]}]}]}], "}"}]], "Output", TaggingRules->{}, CellChangeTimes->{{3.777996996595229*^9, 3.7779970078471317`*^9}, { 3.7779978431100903`*^9, 3.7779978777897263`*^9}, 3.777997935026949*^9, 3.777998374246833*^9, 3.777998424383039*^9}, CellLabel->"Out[49]=", CellID->963314798] }, Open ]], Cell["Compute the extended Groebner basis:", "Text", TaggingRules->{}, CellChangeTimes->{{3.7779967955231857`*^9, 3.777996802612316*^9}, { 3.777996967413903*^9, 3.777996974958036*^9}, {3.777997979757518*^9, 3.7779979836851387`*^9}}, CellID->390438756], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"{", RowBox[{"gb2", ",", "cmat"}], "}"}], "=", RowBox[{"ExtendedGroebnerBasis", "[", RowBox[{"polys", ",", RowBox[{"{", RowBox[{"x", ",", "y", ",", "z"}], "}"}]}], "]"}]}]], "Input", TaggingRules->{}, CellChangeTimes->{{3.7779969791675377`*^9, 3.777996991918541*^9}, { 3.777997890428667*^9, 3.777997906604398*^9}, {3.777997952173946*^9, 3.777997961142714*^9}, 3.777998369900358*^9}, CellLabel->"In[50]:=", CellID->158354800], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"9", "-", RowBox[{"1890", " ", "z"}], "+", RowBox[{"1205", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"14820", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"2794", " ", SuperscriptBox["z", "4"]}], "-", RowBox[{"2756", " ", SuperscriptBox["z", "5"]}], "+", RowBox[{"6198", " ", SuperscriptBox["z", "6"]}], "-", RowBox[{"4256", " ", SuperscriptBox["z", "7"]}], "-", RowBox[{"607", " ", SuperscriptBox["z", "8"]}], "-", RowBox[{"130", " ", SuperscriptBox["z", "9"]}], "-", RowBox[{"2324", " ", SuperscriptBox["z", "10"]}], "+", RowBox[{"304", " ", SuperscriptBox["z", "11"]}], "+", RowBox[{"64", " ", SuperscriptBox["z", "12"]}], "+", RowBox[{"100", " ", SuperscriptBox["z", "13"]}], "+", RowBox[{"200", " ", SuperscriptBox["z", "14"]}]}], ",", RowBox[{ RowBox[{"-", "174568722857469"}], "+", RowBox[{"32134376477706", " ", "y"}], "+", RowBox[{"174412495017740", " ", "z"}], "+", RowBox[{"1978174579982874", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"338799254181097", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"360676216949111", " ", SuperscriptBox["z", "4"]}], "+", RowBox[{"836357857920969", " ", SuperscriptBox["z", "5"]}], "-", RowBox[{"584758935888737", " ", SuperscriptBox["z", "6"]}], "-", RowBox[{"68963401625500", " ", SuperscriptBox["z", "7"]}], "-", RowBox[{"20615441826364", " ", SuperscriptBox["z", "8"]}], "-", RowBox[{"309573453014396", " ", SuperscriptBox["z", "9"]}], "+", RowBox[{"42730628534164", " ", SuperscriptBox["z", "10"]}], "+", RowBox[{"7055457141820", " ", SuperscriptBox["z", "11"]}], "+", RowBox[{"13177425497200", " ", SuperscriptBox["z", "12"]}], "+", RowBox[{"26562952946000", " ", SuperscriptBox["z", "13"]}]}], ",", RowBox[{"249548934638783", "+", RowBox[{"10711458825902", " ", SuperscriptBox["x", "2"]}], "-", RowBox[{"174412495017740", " ", "z"}], "-", RowBox[{"1978174579982874", " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"338799254181097", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"339253299297307", " ", SuperscriptBox["z", "4"]}], "-", RowBox[{"836357857920969", " ", SuperscriptBox["z", "5"]}], "+", RowBox[{"584758935888737", " ", SuperscriptBox["z", "6"]}], "+", RowBox[{"68963401625500", " ", SuperscriptBox["z", "7"]}], "+", RowBox[{"20615441826364", " ", SuperscriptBox["z", "8"]}], "+", RowBox[{"309573453014396", " ", SuperscriptBox["z", "9"]}], "-", RowBox[{"42730628534164", " ", SuperscriptBox["z", "10"]}], "-", RowBox[{"7055457141820", " ", SuperscriptBox["z", "11"]}], "-", RowBox[{"13177425497200", " ", SuperscriptBox["z", "12"]}], "-", RowBox[{"26562952946000", " ", SuperscriptBox["z", "13"]}]}]}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{ RowBox[{ RowBox[{"-", "45"}], " ", "z"}], "-", RowBox[{"15", " ", "y", " ", "z"}], "+", RowBox[{"113", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"975", " ", "y", " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"400", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"1140", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"60", " ", "y", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"60", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"208", " ", SuperscriptBox["z", "4"]}], "-", RowBox[{"48", " ", "y", " ", SuperscriptBox["z", "4"]}], "-", RowBox[{"225", " ", SuperscriptBox["z", "5"]}], "-", RowBox[{"75", " ", "y", " ", SuperscriptBox["z", "5"]}], "+", RowBox[{"580", " ", SuperscriptBox["z", "6"]}], "-", RowBox[{"170", " ", "y", " ", SuperscriptBox["z", "6"]}], "+", RowBox[{"50", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "6"]}], "-", RowBox[{"136", " ", SuperscriptBox["z", "7"]}], "-", RowBox[{"32", " ", SuperscriptBox["z", "8"]}], "-", RowBox[{"100", " ", SuperscriptBox["z", "10"]}]}], ",", RowBox[{"3", "-", RowBox[{"435", " ", "z"}], "+", RowBox[{"80", " ", "y", " ", "z"}], "-", RowBox[{"88", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"12", " ", "y", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"15", " ", SuperscriptBox["z", "4"]}], "+", RowBox[{"64", " ", SuperscriptBox["z", "5"]}], "-", RowBox[{"10", " ", "y", " ", SuperscriptBox["z", "5"]}], "+", RowBox[{"8", " ", SuperscriptBox["z", "6"]}]}], ",", RowBox[{ RowBox[{"45", " ", "z"}], "-", RowBox[{"113", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"1200", " ", "y", " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"1140", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"500", " ", "y", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"208", " ", SuperscriptBox["z", "4"]}], "+", RowBox[{"48", " ", "y", " ", SuperscriptBox["z", "4"]}], "+", RowBox[{"225", " ", SuperscriptBox["z", "5"]}], "-", RowBox[{"580", " ", SuperscriptBox["z", "6"]}], "-", RowBox[{"150", " ", "y", " ", SuperscriptBox["z", "6"]}], "+", RowBox[{"136", " ", SuperscriptBox["z", "7"]}], "-", RowBox[{"40", " ", "y", " ", SuperscriptBox["z", "7"]}], "+", RowBox[{"32", " ", SuperscriptBox["z", "8"]}], "+", RowBox[{"100", " ", SuperscriptBox["z", "10"]}]}]}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"15926908215185", " ", "z"}], "+", RowBox[{"130275989040585", " ", "y", " ", "z"}], "-", RowBox[{"53557294129510", " ", SuperscriptBox["y", "2"], " ", "z"}], "+", RowBox[{"152243446089993", " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"10043547678483", " ", "y", " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"7197744002550", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"25622276783275", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"5152326625065", " ", "y", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"348165578250", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"28479789034230", " ", SuperscriptBox["z", "4"]}], "-", RowBox[{"9872664025320", " ", "y", " ", SuperscriptBox["z", "4"]}], "-", RowBox[{"26012743950", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "4"]}], "+", RowBox[{"78251351237524", " ", SuperscriptBox["z", "5"]}], "-", RowBox[{"22578510004100", " ", "y", " ", SuperscriptBox["z", "5"]}], "+", RowBox[{"6640738236500", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "5"]}], "-", RowBox[{"19588443609652", " ", SuperscriptBox["z", "6"]}], "-", RowBox[{"3553741314860", " ", SuperscriptBox["z", "7"]}], "+", RowBox[{"52025487900", " ", SuperscriptBox["z", "8"]}], "-", RowBox[{"13281476473000", " ", SuperscriptBox["z", "9"]}]}], ",", RowBox[{ RowBox[{"-", "58189574285823"}], "+", RowBox[{"10711458825902", " ", "y"}], "-", RowBox[{"10879103926555", " ", "z"}], "+", RowBox[{"1439548800510", " ", "y", " ", "z"}], "-", RowBox[{"330073062345", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"69633115650", " ", "y", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"1903218666174", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"5202548790", " ", "y", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"8495982903688", " ", SuperscriptBox["z", "4"]}], "-", RowBox[{"1328147647300", " ", "y", " ", SuperscriptBox["z", "4"]}], "+", RowBox[{"1062518117840", " ", SuperscriptBox["z", "5"]}]}], ",", RowBox[{ RowBox[{ RowBox[{"-", "15926908215185"}], " ", "z"}], "+", RowBox[{"160671882388530", " ", "y", " ", "z"}], "-", RowBox[{"152243446089993", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"64439067311258", " ", "y", " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"25622276783275", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"6802691936790", " ", "y", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"28479789034230", " ", SuperscriptBox["z", "4"]}], "+", RowBox[{"356570694450", " ", "y", " ", SuperscriptBox["z", "4"]}], "-", RowBox[{"78251351237524", " ", SuperscriptBox["z", "5"]}], "-", RowBox[{"19901404514340", " ", "y", " ", SuperscriptBox["z", "5"]}], "+", RowBox[{"19588443609652", " ", SuperscriptBox["z", "6"]}], "-", RowBox[{"5312590589200", " ", "y", " ", SuperscriptBox["z", "6"]}], "+", RowBox[{"3553741314860", " ", SuperscriptBox["z", "7"]}], "-", RowBox[{"52025487900", " ", SuperscriptBox["z", "8"]}], "+", RowBox[{"13281476473000", " ", SuperscriptBox["z", "9"]}]}]}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{"10711458825902", "-", RowBox[{"15926908215185", " ", "z"}], "-", RowBox[{"130275989040585", " ", "y", " ", "z"}], "+", RowBox[{"53557294129510", " ", SuperscriptBox["y", "2"], " ", "z"}], "-", RowBox[{"152243446089993", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"10043547678483", " ", "y", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"7197744002550", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"25622276783275", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"5152326625065", " ", "y", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"348165578250", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"28479789034230", " ", SuperscriptBox["z", "4"]}], "+", RowBox[{"9872664025320", " ", "y", " ", SuperscriptBox["z", "4"]}], "+", RowBox[{"26012743950", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "4"]}], "-", RowBox[{"78251351237524", " ", SuperscriptBox["z", "5"]}], "+", RowBox[{"22578510004100", " ", "y", " ", SuperscriptBox["z", "5"]}], "-", RowBox[{"6640738236500", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "5"]}], "+", RowBox[{"19588443609652", " ", SuperscriptBox["z", "6"]}], "+", RowBox[{"3553741314860", " ", SuperscriptBox["z", "7"]}], "-", RowBox[{"52025487900", " ", SuperscriptBox["z", "8"]}], "+", RowBox[{"13281476473000", " ", SuperscriptBox["z", "9"]}]}], ",", RowBox[{"58189574285823", "-", RowBox[{"10711458825902", " ", "y"}], "+", RowBox[{"10879103926555", " ", "z"}], "-", RowBox[{"1439548800510", " ", "y", " ", "z"}], "+", RowBox[{"330073062345", " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"69633115650", " ", "y", " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"1903218666174", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"5202548790", " ", "y", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"8495982903688", " ", SuperscriptBox["z", "4"]}], "+", RowBox[{"1328147647300", " ", "y", " ", SuperscriptBox["z", "4"]}], "-", RowBox[{"1062518117840", " ", SuperscriptBox["z", "5"]}]}], ",", RowBox[{ RowBox[{"15926908215185", " ", "z"}], "-", RowBox[{"160671882388530", " ", "y", " ", "z"}], "+", RowBox[{"152243446089993", " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"64439067311258", " ", "y", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"25622276783275", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"6802691936790", " ", "y", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"28479789034230", " ", SuperscriptBox["z", "4"]}], "-", RowBox[{"356570694450", " ", "y", " ", SuperscriptBox["z", "4"]}], "+", RowBox[{"78251351237524", " ", SuperscriptBox["z", "5"]}], "+", RowBox[{"19901404514340", " ", "y", " ", SuperscriptBox["z", "5"]}], "-", RowBox[{"19588443609652", " ", SuperscriptBox["z", "6"]}], "+", RowBox[{"5312590589200", " ", "y", " ", SuperscriptBox["z", "6"]}], "-", RowBox[{"3553741314860", " ", SuperscriptBox["z", "7"]}], "+", RowBox[{"52025487900", " ", SuperscriptBox["z", "8"]}], "-", RowBox[{"13281476473000", " ", SuperscriptBox["z", "9"]}]}]}], "}"}]}], "}"}]}], "}"}]], "Output", TaggingRules->{}, CellChangeTimes->{3.777998376637929*^9, 3.77799842641752*^9}, CellLabel->"Out[50]=", CellID->793424354] }, Open ]], Cell["Check that the bases agree up to a constant factor:", "Text", TaggingRules->{}, CellChangeTimes->{{3.7779983452348127`*^9, 3.777998363307147*^9}, { 3.7786034504760838`*^9, 3.778603451173154*^9}}, CellID->441659359], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Together", "[", RowBox[{"gb1", "/", "gb2"}], "]"}]], "Input", TaggingRules->{}, CellChangeTimes->{{3.77799796445506*^9, 3.777997969829123*^9}, 3.7779982213862133`*^9}, CellLabel->"In[51]:=", CellID->542812741], Cell[BoxData[ RowBox[{"{", RowBox[{"1", ",", "1", ",", "1"}], "}"}]], "Output", TaggingRules->{}, CellChangeTimes->{3.7779979705678797`*^9, 3.777998222904888*^9, 3.777998380652782*^9, 3.777998429139666*^9}, CellLabel->"Out[51]=", CellID->140408401] }, Open ]], Cell["Check the conversion matrix identity:", "Text", TaggingRules->{}, CellChangeTimes->{{3.777997992733458*^9, 3.777998003765708*^9}, { 3.777998382971404*^9, 3.7779983863474817`*^9}, {3.7786034280208387`*^9, 3.7786034396299996`*^9}}, CellID->282170444], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Expand", "[", RowBox[{ RowBox[{"cmat", ".", "polys"}], "-", "gb2"}], "]"}]], "Input", TaggingRules->{}, CellChangeTimes->{{3.777998010173807*^9, 3.777998023910097*^9}, 3.777998418973159*^9}, CellLabel->"In[52]:=", CellID->353396331], Cell[BoxData[ RowBox[{"{", RowBox[{"0", ",", "0", ",", "0"}], "}"}]], "Output", TaggingRules->{}, CellChangeTimes->{3.777998024458023*^9, 3.777998390262044*^9, 3.777998430121901*^9}, CellLabel->"Out[52]=", CellID->866181844] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Scope", "Subsection", TaggingRules->{}, CellID->204653245], Cell["Here is a larger example:", "Text", TaggingRules->{}, CellChangeTimes->{{3.777998165592749*^9, 3.77799817036043*^9}, { 3.778001231462607*^9, 3.778001262983177*^9}}, CellID->116157362], Cell[CellGroupData[{ Cell[BoxData[{ RowBox[{ RowBox[{"polys", "=", RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"x", "^", "2"}], "+", RowBox[{"3", "*", "y"}], "-", RowBox[{"2", "*", RowBox[{"z", "^", "4"}]}], "+", "7"}], ",", RowBox[{ RowBox[{ RowBox[{"-", RowBox[{"x", "^", "3"}]}], "*", "z"}], "+", RowBox[{"5", "*", RowBox[{"x", "^", "2"}], "*", RowBox[{"y", "^", "2"}], "*", "z"}], "-", RowBox[{"4", "*", RowBox[{"y", "^", "2"}], "*", RowBox[{"z", "^", "3"}]}], "+", "3"}], ",", RowBox[{ RowBox[{"x", "^", "3"}], "+", RowBox[{"y", "^", "3"}], "+", RowBox[{"2", "*", RowBox[{"z", "^", "3"}]}], "-", "6"}]}], "}"}]}], ";"}], "\[IndentingNewLine]", RowBox[{"gb1", "=", RowBox[{"GroebnerBasis", "[", RowBox[{"polys", ",", RowBox[{"{", RowBox[{"x", ",", "y", ",", "z"}], "}"}], ",", RowBox[{"MonomialOrder", "\[Rule]", "DegreeReverseLexicographic"}]}], "]"}]}]}], "Input", TaggingRules->{}, CellChangeTimes->{{3.777998178604048*^9, 3.7779982117210407`*^9}, { 3.777998258258819*^9, 3.777998300882633*^9}}, CellLabel->"In[53]:=", CellID->991849514], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"-", "6"}], "+", SuperscriptBox["x", "3"], "+", SuperscriptBox["y", "3"], "+", RowBox[{"2", " ", SuperscriptBox["z", "3"]}]}], ",", RowBox[{ RowBox[{"-", "7"}], "-", SuperscriptBox["x", "2"], "-", RowBox[{"3", " ", "y"}], "+", RowBox[{"2", " ", SuperscriptBox["z", "4"]}]}], ",", RowBox[{"10", "+", SuperscriptBox["x", "2"], "+", RowBox[{"3", " ", "y"}], "-", RowBox[{"6", " ", "z"}], "+", RowBox[{"5", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "2"], " ", "z"}], "+", RowBox[{ SuperscriptBox["y", "3"], " ", "z"}], "-", RowBox[{"4", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "3"]}]}], ",", RowBox[{ RowBox[{"-", "6"}], "-", RowBox[{"10", " ", "x"}], "-", RowBox[{"3", " ", "x", " ", "y"}], "+", RowBox[{"35", " ", SuperscriptBox["y", "2"]}], "+", RowBox[{"5", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "2"]}], "+", RowBox[{"16", " ", SuperscriptBox["y", "3"]}], "+", RowBox[{"6", " ", "x", " ", "z"}], "-", RowBox[{"30", " ", SuperscriptBox["y", "2"], " ", "z"}], "-", RowBox[{"x", " ", SuperscriptBox["y", "3"], " ", "z"}], "+", RowBox[{"5", " ", SuperscriptBox["y", "5"], " ", "z"}], "+", RowBox[{"2", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"4", " ", "x", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "3"]}]}], ",", RowBox[{"210", "+", RowBox[{"30", " ", SuperscriptBox["x", "2"]}], "+", RowBox[{"90", " ", "y"}], "+", RowBox[{"56", " ", SuperscriptBox["y", "2"]}], "-", RowBox[{"150", " ", "x", " ", SuperscriptBox["y", "2"]}], "-", RowBox[{"167", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "2"]}], "-", RowBox[{"11", " ", SuperscriptBox["y", "3"]}], "-", RowBox[{"80", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "3"]}], "-", RowBox[{"15", " ", SuperscriptBox["y", "4"]}], "+", RowBox[{"25", " ", "x", " ", SuperscriptBox["y", "5"]}], "-", RowBox[{"40", " ", "z"}], "-", RowBox[{"4", " ", SuperscriptBox["x", "2"], " ", "z"}], "-", RowBox[{"12", " ", "y", " ", "z"}], "+", RowBox[{"24", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"140", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"56", " ", SuperscriptBox["y", "3"], " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"100", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"10", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"30", " ", "y", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"50", " ", "x", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "3"]}]}], ",", RowBox[{"35670", "-", RowBox[{"3200", " ", "x"}], "-", RowBox[{"240", " ", SuperscriptBox["x", "2"]}], "+", RowBox[{"31830", " ", "y"}], "+", RowBox[{"300", " ", "x", " ", "y"}], "+", RowBox[{"150", " ", SuperscriptBox["x", "2"], " ", "y"}], "+", RowBox[{"25752", " ", SuperscriptBox["y", "2"]}], "-", RowBox[{"31189", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "2"]}], "-", RowBox[{"7077", " ", SuperscriptBox["y", "3"]}], "+", RowBox[{"750", " ", "x", " ", SuperscriptBox["y", "3"]}], "-", RowBox[{"27005", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "3"]}], "-", RowBox[{"5065", " ", SuperscriptBox["y", "4"]}], "-", RowBox[{"6025", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "4"]}], "-", RowBox[{"8700", " ", SuperscriptBox["y", "5"]}], "+", RowBox[{"625", " ", SuperscriptBox["y", "8"]}], "+", RowBox[{"1070", " ", "z"}], "-", RowBox[{"600", " ", "x", " ", "z"}], "+", RowBox[{"1032", " ", SuperscriptBox["x", "2"], " ", "z"}], "-", RowBox[{"304", " ", "y", " ", "z"}], "+", RowBox[{"260", " ", SuperscriptBox["x", "2"], " ", "y", " ", "z"}], "-", RowBox[{"120", " ", SuperscriptBox["y", "2"], " ", "z"}], "-", RowBox[{"7000", " ", "x", " ", SuperscriptBox["y", "2"], " ", "z"}], "-", RowBox[{"2900", " ", "x", " ", SuperscriptBox["y", "3"], " ", "z"}], "-", RowBox[{"192", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"3250", " ", "x", " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"600", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"240", " ", "y", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"750", " ", "x", " ", "y", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"14630", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"17502", " ", SuperscriptBox["y", "3"], " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"4760", " ", SuperscriptBox["y", "4"], " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"16900", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"830", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"13010", " ", "y", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"50", " ", SuperscriptBox["x", "2"], " ", "y", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"2400", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"800", " ", "x", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"250", " ", "x", " ", SuperscriptBox["y", "3"], " ", SuperscriptBox["z", "3"]}]}]}], "}"}]], "Output", TaggingRules->{}, CellChangeTimes->{ 3.777998224481165*^9, {3.7779982670146303`*^9, 3.777998302720186*^9}, 3.777998402020157*^9, 3.777998433132814*^9}, CellLabel->"Out[54]=", CellID->786483897] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"{", RowBox[{"gb2", ",", "cmat"}], "}"}], "=", RowBox[{"ExtendedGroebnerBasis", "[", RowBox[{"polys", ",", RowBox[{"{", RowBox[{"x", ",", "y", ",", "z"}], "}"}], ",", RowBox[{"MonomialOrder", "\[Rule]", "DegreeReverseLexicographic"}]}], "]"}]}]], "Input", TaggingRules->{}, CellChangeTimes->{{3.777998241457837*^9, 3.777998245809493*^9}}, CellLabel->"In[55]:=", CellID->220726278], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"-", "6"}], "+", SuperscriptBox["x", "3"], "+", SuperscriptBox["y", "3"], "+", RowBox[{"2", " ", SuperscriptBox["z", "3"]}]}], ",", RowBox[{ RowBox[{"-", "7"}], "-", SuperscriptBox["x", "2"], "-", RowBox[{"3", " ", "y"}], "+", RowBox[{"2", " ", SuperscriptBox["z", "4"]}]}], ",", RowBox[{"10", "+", SuperscriptBox["x", "2"], "+", RowBox[{"3", " ", "y"}], "-", RowBox[{"6", " ", "z"}], "+", RowBox[{"5", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "2"], " ", "z"}], "+", RowBox[{ SuperscriptBox["y", "3"], " ", "z"}], "-", RowBox[{"4", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "3"]}]}], ",", RowBox[{ RowBox[{"-", "6"}], "-", RowBox[{"10", " ", "x"}], "-", RowBox[{"3", " ", "x", " ", "y"}], "+", RowBox[{"35", " ", SuperscriptBox["y", "2"]}], "+", RowBox[{"5", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "2"]}], "+", RowBox[{"16", " ", SuperscriptBox["y", "3"]}], "+", RowBox[{"6", " ", "x", " ", "z"}], "-", RowBox[{"30", " ", SuperscriptBox["y", "2"], " ", "z"}], "-", RowBox[{"x", " ", SuperscriptBox["y", "3"], " ", "z"}], "+", RowBox[{"5", " ", SuperscriptBox["y", "5"], " ", "z"}], "+", RowBox[{"2", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"4", " ", "x", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "3"]}]}], ",", RowBox[{"210", "+", RowBox[{"30", " ", SuperscriptBox["x", "2"]}], "+", RowBox[{"90", " ", "y"}], "+", RowBox[{"56", " ", SuperscriptBox["y", "2"]}], "-", RowBox[{"150", " ", "x", " ", SuperscriptBox["y", "2"]}], "-", RowBox[{"167", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "2"]}], "-", RowBox[{"11", " ", SuperscriptBox["y", "3"]}], "-", RowBox[{"80", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "3"]}], "-", RowBox[{"15", " ", SuperscriptBox["y", "4"]}], "+", RowBox[{"25", " ", "x", " ", SuperscriptBox["y", "5"]}], "-", RowBox[{"40", " ", "z"}], "-", RowBox[{"4", " ", SuperscriptBox["x", "2"], " ", "z"}], "-", RowBox[{"12", " ", "y", " ", "z"}], "+", RowBox[{"24", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"140", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"56", " ", SuperscriptBox["y", "3"], " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"100", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"10", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"30", " ", "y", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"50", " ", "x", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "3"]}]}], ",", RowBox[{"71340", "-", RowBox[{"6400", " ", "x"}], "-", RowBox[{"480", " ", SuperscriptBox["x", "2"]}], "+", RowBox[{"63660", " ", "y"}], "+", RowBox[{"600", " ", "x", " ", "y"}], "+", RowBox[{"300", " ", SuperscriptBox["x", "2"], " ", "y"}], "+", RowBox[{"51504", " ", SuperscriptBox["y", "2"]}], "-", RowBox[{"62378", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "2"]}], "-", RowBox[{"14154", " ", SuperscriptBox["y", "3"]}], "+", RowBox[{"1500", " ", "x", " ", SuperscriptBox["y", "3"]}], "-", RowBox[{"54010", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "3"]}], "-", RowBox[{"10130", " ", SuperscriptBox["y", "4"]}], "-", RowBox[{"12050", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "4"]}], "-", RowBox[{"17400", " ", SuperscriptBox["y", "5"]}], "+", RowBox[{"1250", " ", SuperscriptBox["y", "8"]}], "+", RowBox[{"2140", " ", "z"}], "-", RowBox[{"1200", " ", "x", " ", "z"}], "+", RowBox[{"2064", " ", SuperscriptBox["x", "2"], " ", "z"}], "-", RowBox[{"608", " ", "y", " ", "z"}], "+", RowBox[{"520", " ", SuperscriptBox["x", "2"], " ", "y", " ", "z"}], "-", RowBox[{"240", " ", SuperscriptBox["y", "2"], " ", "z"}], "-", RowBox[{"14000", " ", "x", " ", SuperscriptBox["y", "2"], " ", "z"}], "-", RowBox[{"5800", " ", "x", " ", SuperscriptBox["y", "3"], " ", "z"}], "-", RowBox[{"384", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"6500", " ", "x", " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"1200", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"480", " ", "y", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"1500", " ", "x", " ", "y", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"29260", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"35004", " ", SuperscriptBox["y", "3"], " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"9520", " ", SuperscriptBox["y", "4"], " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"33800", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"1660", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"26020", " ", "y", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"100", " ", SuperscriptBox["x", "2"], " ", "y", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"4800", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"1600", " ", "x", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"500", " ", "x", " ", SuperscriptBox["y", "3"], " ", SuperscriptBox["z", "3"]}]}]}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{"0", ",", "0", ",", "1"}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{"-", "1"}], ",", "0", ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{"1", ",", "1", ",", "z"}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"-", "x"}], "+", RowBox[{"5", " ", SuperscriptBox["y", "2"]}]}], ",", RowBox[{"-", "x"}], ",", RowBox[{"1", "-", RowBox[{"x", " ", "z"}], "+", RowBox[{"5", " ", SuperscriptBox["y", "2"], " ", "z"}]}]}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{"30", "+", RowBox[{"8", " ", SuperscriptBox["y", "2"]}], "-", RowBox[{"25", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "2"]}], "-", RowBox[{"5", " ", SuperscriptBox["y", "3"]}], "-", RowBox[{"4", " ", "z"}], "+", RowBox[{"20", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"10", " ", SuperscriptBox["z", "3"]}]}], ",", RowBox[{ RowBox[{ RowBox[{"-", "4"}], " ", "z"}], "-", RowBox[{"10", " ", SuperscriptBox["z", "3"]}]}], ",", RowBox[{ RowBox[{"25", " ", "x", " ", SuperscriptBox["y", "2"]}], "-", RowBox[{"4", " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"10", " ", SuperscriptBox["z", "4"]}]}]}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{"13770", "+", RowBox[{"200", " ", "x"}], "-", RowBox[{"1500", " ", SuperscriptBox["x", "2"]}], "-", RowBox[{"625", " ", SuperscriptBox["x", "3"]}], "+", RowBox[{"4800", " ", "y"}], "-", RowBox[{"1128", " ", SuperscriptBox["y", "2"]}], "-", RowBox[{"8750", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "2"]}], "+", RowBox[{"1250", " ", SuperscriptBox["x", "4"], " ", SuperscriptBox["y", "2"]}], "-", RowBox[{"2135", " ", SuperscriptBox["y", "3"]}], "-", RowBox[{"3750", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "3"]}], "-", RowBox[{"800", " ", SuperscriptBox["y", "4"]}], "+", RowBox[{"64", " ", "z"}], "+", RowBox[{"200", " ", SuperscriptBox["x", "2"], " ", "z"}], "-", RowBox[{"80", " ", "y", " ", "z"}], "-", RowBox[{"2000", " ", "x", " ", SuperscriptBox["y", "2"], " ", "z"}], "+", RowBox[{"500", " ", "x", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"4180", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"1000", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"3200", " ", SuperscriptBox["y", "3"], " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"4590", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"500", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"1600", " ", "y", " ", SuperscriptBox["z", "3"]}]}], ",", RowBox[{"3750", "+", RowBox[{"400", " ", "x"}], "-", RowBox[{"625", " ", SuperscriptBox["x", "3"]}], "-", RowBox[{"625", " ", SuperscriptBox["y", "3"]}], "+", RowBox[{"564", " ", "z"}], "+", RowBox[{"200", " ", SuperscriptBox["x", "2"], " ", "z"}], "-", RowBox[{"80", " ", "y", " ", "z"}], "+", RowBox[{"1000", " ", "x", " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"4590", " ", SuperscriptBox["z", "3"]}], "+", RowBox[{"500", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"1600", " ", "y", " ", SuperscriptBox["z", "3"]}]}], ",", RowBox[{"6050", "+", RowBox[{"1500", " ", "x"}], "+", RowBox[{"625", " ", SuperscriptBox["x", "2"]}], "+", RowBox[{"1875", " ", "y"}], "-", RowBox[{"7500", " ", SuperscriptBox["y", "2"]}], "-", RowBox[{"1250", " ", SuperscriptBox["x", "3"], " ", SuperscriptBox["y", "2"]}], "+", RowBox[{"1250", " ", SuperscriptBox["y", "5"]}], "+", RowBox[{"200", " ", "x", " ", "z"}], "-", RowBox[{"625", " ", SuperscriptBox["x", "3"], " ", "z"}], "+", RowBox[{"3125", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "2"], " ", "z"}], "+", RowBox[{"64", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"200", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["z", "2"]}], "-", RowBox[{"80", " ", "y", " ", SuperscriptBox["z", "2"]}], "+", RowBox[{"500", " ", "x", " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"5000", " ", SuperscriptBox["y", "2"], " ", SuperscriptBox["z", "3"]}], "-", RowBox[{"4590", " ", SuperscriptBox["z", "4"]}], "+", RowBox[{"500", " ", SuperscriptBox["x", "2"], " ", SuperscriptBox["z", "4"]}], "-", RowBox[{"1600", " ", "y", " ", SuperscriptBox["z", "4"]}]}]}], "}"}]}], "}"}]}], "}"}]], "Output", TaggingRules->{}, CellChangeTimes->{{3.7779982464440928`*^9, 3.77799826898897*^9}, 3.777998304674163*^9, 3.7779984029517117`*^9, 3.777998434327725*^9}, CellLabel->"Out[55]=", CellID->360552139] }, Open ]], Cell["\<\ Check that the bases agree up to constant factors (they are not identical in \ this instance):\ \>", "Text", TaggingRules->{}, CellChangeTimes->{{3.777998440924217*^9, 3.777998474588978*^9}}, CellID->902858349], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Together", "[", RowBox[{"gb1", "/", "gb2"}], "]"}]], "Input", TaggingRules->{}, CellLabel->"In[56]:=", CellID->976294459], Cell[BoxData[ RowBox[{"{", RowBox[{"1", ",", "1", ",", "1", ",", "1", ",", "1", ",", FractionBox["1", "2"]}], "}"}]], "Output", TaggingRules->{}, CellChangeTimes->{3.777998331943116*^9, 3.777998404873102*^9, 3.7779984363130703`*^9}, CellLabel->"Out[56]=", CellID->265665803] }, Open ]], Cell["Check the conversion matrix identity:", "Text", TaggingRules->{}, CellChangeTimes->{{3.777998478804929*^9, 3.777998491732791*^9}}, CellID->282170445], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Expand", "[", RowBox[{ RowBox[{"cmat", ".", "polys"}], "-", "gb2"}], "]"}]], "Input", TaggingRules->{}, CellChangeTimes->{{3.777998010173807*^9, 3.777998023910097*^9}, 3.777998412917078*^9}, CellLabel->"In[57]:=", CellID->329936588], Cell[BoxData[ RowBox[{"{", RowBox[{"0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0"}], "}"}]], "Output", TaggingRules->{}, CellChangeTimes->{{3.7779984060033417`*^9, 3.77799843719077*^9}}, CellLabel->"Out[57]=", CellID->3355551] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Properties and Relations", "Subsection", TaggingRules->{}, CellID->232113220], Cell[TextData[{ "The Groebner basis of a pair of univariate polynomials is their greatest \ common divisor, and similarly the extended Groebner basis gives the extended \ GCD. Create a pair of polynomials with a known common divisor ", Cell[BoxData[ StyleBox["poly1", "TI"]], "InlineFormula", FontFamily->"Source Sans Pro"], ":" }], "Text", TaggingRules->{}, CellChangeTimes->{{3.778000614389072*^9, 3.778000726295903*^9}, { 3.778001482690428*^9, 3.778001488998383*^9}}, CellID->972632259], Cell[BoxData[{ RowBox[{ RowBox[{"randomPoly", "[", RowBox[{"deg_", ",", "x_", ",", "cmax_"}], "]"}], ":=", RowBox[{ RowBox[{"x", "^", "deg"}], "+", RowBox[{ RowBox[{"RandomInteger", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"-", "cmax"}], ",", "cmax"}], "}"}], ",", "deg"}], "]"}], ".", RowBox[{"x", "^", RowBox[{"Range", "[", RowBox[{"0", ",", RowBox[{"deg", "-", "1"}]}], "]"}]}]}]}]}], "\[IndentingNewLine]", RowBox[{"SeedRandom", "[", "1234", "]"}], "\n", RowBox[{ RowBox[{"poly1", "=", RowBox[{"randomPoly", "[", RowBox[{"4", ",", "x", ",", "9"}], "]"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"poly2", "=", RowBox[{"randomPoly", "[", RowBox[{"4", ",", "x", ",", "9"}], "]"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"poly3", "=", RowBox[{"randomPoly", "[", RowBox[{"4", ",", "x", ",", "9"}], "]"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"poly12", "=", RowBox[{"Expand", "[", RowBox[{"poly1", "*", "poly2"}], "]"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"poly13", "=", RowBox[{"Expand", "[", RowBox[{"poly1", "*", "poly3"}], "]"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"polys", "=", RowBox[{"{", RowBox[{"poly12", ",", "poly13"}], "}"}]}], ";"}]}], "Input", TaggingRules->{}, CellChangeTimes->{{3.777998703417037*^9, 3.777998859051526*^9}, { 3.778000855969799*^9, 3.778000863329026*^9}, {3.7780014646038094`*^9, 3.778001467090311*^9}}, CellLabel->"In[88]:=", CellID->962891585], Cell["Compute the extended GCD:", "Text", TaggingRules->{}, CellChangeTimes->{{3.778000614389072*^9, 3.7780006780383244`*^9}, { 3.778000723646975*^9, 3.778000739287032*^9}}, CellID->798250435], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"{", RowBox[{"gcd", ",", "mat"}], "}"}], "=", RowBox[{"ExtendedGroebnerBasis", "[", "polys", "]"}]}]], "Input", TaggingRules->{}, CellChangeTimes->{{3.777998865324929*^9, 3.77799891810767*^9}, { 3.778000869570407*^9, 3.778000870369267*^9}}, CellLabel->"In[85]:=", CellID->741550618], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"-", "2046672"}], "-", RowBox[{"2046672", " ", "x"}], "-", RowBox[{"2302506", " ", SuperscriptBox["x", "2"]}], "+", RowBox[{"1790838", " ", SuperscriptBox["x", "3"]}], "+", RowBox[{"255834", " ", SuperscriptBox["x", "4"]}]}], "}"}], ",", RowBox[{"{", RowBox[{"{", RowBox[{ RowBox[{"33605", "+", RowBox[{"2090", " ", "x"}], "+", RowBox[{"10913", " ", SuperscriptBox["x", "2"]}], "-", RowBox[{"3969", " ", SuperscriptBox["x", "3"]}]}], ",", RowBox[{ RowBox[{"-", "1858"}], "+", RowBox[{"19757", " ", "x"}], "+", RowBox[{"28777", " ", SuperscriptBox["x", "2"]}], "+", RowBox[{"3969", " ", SuperscriptBox["x", "3"]}]}]}], "}"}], "}"}]}], "}"}]], "Output", TaggingRules->{}, CellChangeTimes->{3.777998920077032*^9, 3.7780008730943108`*^9}, CellLabel->"Out[85]=", CellID->563627132] }, Open ]], Cell[TextData[{ "Check that the single polynomial in the Groebner basis is a GCD (a constant \ multiple of ", Cell[BoxData[ StyleBox["poly1", "TI"]], "InlineFormula", FontFamily->"Source Sans Pro"], "):" }], "Text", TaggingRules->{}, CellChangeTimes->{{3.778000748255007*^9, 3.778000801320056*^9}}, CellID->218320972], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Together", "[", RowBox[{ RowBox[{"gcd", "[", RowBox[{"[", "1", "]"}], "]"}], "/", "poly1"}], "]"}]], "Input", TaggingRules->{}, CellChangeTimes->{{3.777998942766553*^9, 3.777998955348384*^9}, { 3.778000765696931*^9, 3.7780007664237003`*^9}}, CellLabel->"In[76]:=", CellID->534874328], Cell[BoxData["255834"], "Output", TaggingRules->{}, CellChangeTimes->{3.777998956905221*^9, 3.778000809542913*^9}, CellLabel->"Out[76]=", CellID->705783987] }, Open ]], Cell["Check the Bezout relation for the extended GCD:", "Text", TaggingRules->{}, CellChangeTimes->{{3.7780008188481007`*^9, 3.778000832464611*^9}, { 3.778000902929819*^9, 3.7780009074334173`*^9}}, CellID->88276073], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Expand", "[", RowBox[{ RowBox[{"mat", ".", "polys"}], "-", "gcd"}], "]"}]], "Input", TaggingRules->{}, CellChangeTimes->{{3.778000846872609*^9, 3.778000894281578*^9}}, CellLabel->"In[87]:=", CellID->661593270], Cell[BoxData[ RowBox[{"{", "0", "}"}]], "Output", TaggingRules->{}, CellChangeTimes->{{3.778000887748126*^9, 3.778000896543839*^9}}, CellLabel->"Out[87]=", CellID->79171151] }, Open ]], Cell[TextData[{ "Compare to ", Cell[BoxData[ TagBox[ ButtonBox[ StyleBox["PolynomialExtendedGCD", "SymbolsRefLink", ShowStringCharacters->True, FontFamily->"Source Sans Pro"], BaseStyle->Dynamic[ FEPrivate`If[ CurrentValue["MouseOver"], { "Link", FontColor -> RGBColor[0.854902, 0.396078, 0.145098]}, { "Link"}]], ButtonData->"paclet:ref/PolynomialExtendedGCD", ContentPadding->False], MouseAppearanceTag["LinkHand"]]], "InlineFormula", FontFamily->"Source Sans Pro"], ":" }], "Text", TaggingRules->{}, CellChangeTimes->{{3.778001567819603*^9, 3.778001579100062*^9}}, CellID->429325573], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"{", RowBox[{"gcd2", ",", "vec"}], "}"}], "=", RowBox[{"PolynomialExtendedGCD", "[", RowBox[{"poly12", ",", "poly13", ",", "x"}], "]"}]}]], "Input", TaggingRules->{}, CellChangeTimes->{{3.7780015335050097`*^9, 3.778001596900288*^9}}, CellLabel->"In[97]:=", CellID->226957598], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"-", "8"}], "-", RowBox[{"8", " ", "x"}], "-", RowBox[{"9", " ", SuperscriptBox["x", "2"]}], "+", RowBox[{"7", " ", SuperscriptBox["x", "3"]}], "+", SuperscriptBox["x", "4"]}], ",", RowBox[{"{", RowBox[{ FractionBox[ RowBox[{"302445", "+", RowBox[{"18810", " ", "x"}], "+", RowBox[{"98217", " ", SuperscriptBox["x", "2"]}], "-", RowBox[{"35721", " ", SuperscriptBox["x", "3"]}]}], "2302506"], ",", FractionBox[ RowBox[{ RowBox[{"-", "16722"}], "+", RowBox[{"177813", " ", "x"}], "+", RowBox[{"258993", " ", SuperscriptBox["x", "2"]}], "+", RowBox[{"35721", " ", SuperscriptBox["x", "3"]}]}], "2302506"]}], "}"}]}], "}"}]], "Output",\ TaggingRules->{}, CellChangeTimes->{3.77800154632156*^9, 3.778001598816852*^9}, CellLabel->"Out[97]=", CellID->974923685] }, Open ]], Cell["Again check the Bezout relation:", "Text", TaggingRules->{}, CellChangeTimes->{{3.7780016439488564`*^9, 3.7780016585248747`*^9}}, CellID->941358497], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Expand", "[", RowBox[{ RowBox[{"vec", ".", "polys"}], "-", "gcd2"}], "]"}]], "Input", TaggingRules->{}, CellChangeTimes->{{3.778001616380118*^9, 3.778001618988811*^9}}, CellLabel->"In[98]:=", CellID->169115125], Cell[BoxData["0"], "Output", TaggingRules->{}, CellChangeTimes->{3.778001636346388*^9}, CellLabel->"Out[98]=", CellID->264898272] }, Open ]], Cell["\<\ Now check that these two computations agree up to a constant factor:\ \>", "Text", TaggingRules->{}, CellChangeTimes->{{3.778001662812841*^9, 3.778001684749588*^9}, 3.778001722189918*^9}, CellID->667170309], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Together", "[", RowBox[{ RowBox[{"{", RowBox[{"gcd", ",", RowBox[{"mat", "[", RowBox[{"[", "1", "]"}], "]"}]}], "}"}], "/", RowBox[{"{", RowBox[{"gcd2", ",", "vec"}], "}"}]}], "]"}]], "Input", TaggingRules->{}, CellChangeTimes->{{3.778001698069737*^9, 3.778001717238242*^9}}, CellLabel->"In[100]:=", CellID->5714398], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", "255834", "}"}], ",", RowBox[{"{", RowBox[{"255834", ",", "255834"}], "}"}]}], "}"}]], "Output", TaggingRules->{}, CellChangeTimes->{{3.77800170904033*^9, 3.778001717806171*^9}}, CellLabel->"Out[100]=", CellID->165887368] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Possible Issues", "Subsection", TaggingRules->{}, CellID->158766396], Cell[TextData[{ Cell[BoxData["ExtendedGroebnerBasis"], "InlineFormula", FontFamily->"Source Sans Pro"], " can be much slower that ", Cell[BoxData[ TagBox[ ButtonBox[ StyleBox["GroebnerBasis", "SymbolsRefLink", ShowStringCharacters->True, FontFamily->"Source Sans Pro"], BaseStyle->Dynamic[ FEPrivate`If[ CurrentValue["MouseOver"], { "Link", FontColor -> RGBColor[0.854902, 0.396078, 0.145098]}, { "Link"}]], ButtonData->"paclet:ref/GroebnerBasis", ContentPadding->False], MouseAppearanceTag["LinkHand"]]], "InlineFormula", FontFamily->"Source Sans Pro"], " for the same input:" }], "Text", TaggingRules->{}, CellChangeTimes->{{3.7780013389361877`*^9, 3.778001367529327*^9}, { 3.778603565005536*^9, 3.778603565839619*^9}}, CellID->608066444], Cell[CellGroupData[{ Cell[BoxData[{ RowBox[{ RowBox[{"polys", "=", RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"x", "^", "3"}], "+", RowBox[{"3", "*", RowBox[{"x", "^", "2"}], RowBox[{"y", "^", "3"}], " ", "z"}], "-", RowBox[{"2", "*", RowBox[{"z", "^", "4"}]}], "+", "7"}], ",", RowBox[{ RowBox[{ RowBox[{"-", RowBox[{"x", "^", "3"}]}], "*", "z"}], "+", RowBox[{"5", "*", RowBox[{"x", "^", "2"}], "*", RowBox[{"y", "^", "2"}], "*", RowBox[{"z", "^", "2"}]}], "-", RowBox[{"4", "*", RowBox[{"y", "^", "2"}], "*", RowBox[{"z", "^", "3"}]}], "+", "3"}], ",", RowBox[{ RowBox[{ RowBox[{"x", "^", "4"}], "z"}], "+", RowBox[{"y", "^", "4"}], "+", RowBox[{"2", "*", RowBox[{"z", "^", "4"}]}], "-", "6"}]}], "}"}]}], ";"}], "\[IndentingNewLine]", RowBox[{"Timing", "[", RowBox[{ RowBox[{"GroebnerBasis", "[", RowBox[{"polys", ",", RowBox[{"{", RowBox[{"x", ",", "y", ",", "z"}], "}"}]}], "]"}], ";"}], "]"}]}], "Input", TaggingRules->{}, CellChangeTimes->{{3.777998178604048*^9, 3.7779982117210407`*^9}, { 3.777998258258819*^9, 3.777998300882633*^9}, {3.778603592211256*^9, 3.778603656247659*^9}, {3.7786037139664307`*^9, 3.778603819631996*^9}}, CellID->565477095], Cell[BoxData[ RowBox[{"{", RowBox[{"1.7628113`", ",", "Null"}], "}"}]], "Output", TaggingRules->{}, CellChangeTimes->{ 3.777998224481165*^9, {3.7779982670146303`*^9, 3.777998302720186*^9}, 3.777998402020157*^9, 3.777998433132814*^9, 3.7786036573397684`*^9, { 3.778603725913625*^9, 3.778603756257659*^9}, 3.7786037958176146`*^9}, CellLabel->"Out[37]=", CellID->291270780] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Timing", "[", RowBox[{ RowBox[{"ExtendedGroebnerBasis", "[", RowBox[{"polys", ",", RowBox[{"{", RowBox[{"x", ",", "y", ",", "z"}], "}"}]}], "]"}], ";"}], "]"}]], "Input", TaggingRules->{}, CellChangeTimes->{{3.777998241457837*^9, 3.777998245809493*^9}, { 3.778603661935228*^9, 3.7786036737534094`*^9}, {3.7786037693739705`*^9, 3.778603773931426*^9}, {3.7786038218872213`*^9, 3.778603824846517*^9}}, CellID->131431510], Cell[BoxData[ RowBox[{"{", RowBox[{"80.0129129`", ",", "Null"}], "}"}]], "Output", TaggingRules->{}, CellChangeTimes->{{3.7779982464440928`*^9, 3.77799826898897*^9}, 3.777998304674163*^9, 3.7779984029517117`*^9, 3.777998434327725*^9, 3.778603686192653*^9, {3.778603728203854*^9, 3.7786037585658903`*^9}, 3.7786037891839514`*^9, 3.7786038957246046`*^9}, CellLabel->"Out[38]=", CellID->646573998] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell["Source & Additional Information", "Section", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "Source & Additional Information"}, CellTags->{"Source & Additional Information", "TemplateSection"}, CellID->611501116], Cell[CellGroupData[{ Cell[TextData[{ "Contributed By", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"Contributed By", Cell[ BoxData[ FrameBox[ Cell[ "Enter the name of the person, people or organization that should be \ publicly credited with contributing this function.", "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoContributedBy"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Subsection", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "Contributed By"}, DefaultNewCellStyle->"Text", CellTags->{"Contributed By", "ContributorInformation", "TemplateCellGroup"}, CellID->86203256], Cell["Daniel Lichtblau", "Text", CellID->110751496] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Keywords", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"Keywords", Cell[ BoxData[ FrameBox[ Cell[ "List relevant terms (e.g. functional areas, algorithm names, related \ concepts) that should be used to include the function in search results.", "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoKeywords"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Subsection", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "Keywords"}, DefaultNewCellStyle->"Item", CellTags->{"Keywords", "TemplateCellGroup"}, CellID->696375425], Cell["Groebner bases", "Item", CellID->29173737], Cell["conversion matrix", "Item", CellID->357376464], Cell["computational commutative algebra", "Item", CellID->564576612], Cell["algebraic geometry", "Item", CellID->992676555] }, Open ]], Cell[CellGroupData[{ Cell["Categories", "Subsection", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "Categories"}, DefaultNewCellStyle->"Item", CellTags->{"Categories", "TemplateCellGroup"}, CellID->362094786], Cell[BoxData[ TagBox[GridBox[{ { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "3D Visualization"}], "\" \"", "\"3D Visualization\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Accessibility"}], "\" \"", "\"Accessibility\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Accessing External Services & APIs"}], "\" \"", "\"Accessing External Services & APIs\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Associations"}], "\" \"", "\"Associations\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Astronomical Computation & Data"}], "\" \"", "\"Astronomical Computation & Data\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Background & Scheduled Tasks"}], "\" \"", "\"Background & Scheduled Tasks\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Calculus"}], "\" \"", "\"Calculus\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Calling External Programs"}], "\" \"", "\"Calling External Programs\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Cloud & Deployment"}], "\" \"", "\"Cloud & Deployment\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Cloud Functions & Deployment"}], "\" \"", "\"Cloud Functions & Deployment\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Code as Data"}], "\" \"", "\"Code as Data\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Color Processing"}], "\" \"", "\"Color Processing\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Computational Geometry"}], "\" \"", "\"Computational Geometry\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Computation on Graphs"}], "\" \"", "\"Computation on Graphs\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Computer Vision"}], "\" \"", "\"Computer Vision\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Control Objects"}], "\" \"", "\"Control Objects\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Core Language & Structure"}], "\" \"", "\"Core Language & Structure\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Creating Form Interfaces & Apps"}], "\" \"", "\"Creating Form Interfaces & Apps\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Cryptography"}], "\" \"", "\"Cryptography\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Cultural Data"}], "\" \"", "\"Cultural Data\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Data Manipulation & Analysis"}], "\" \"", "\"Data Manipulation & Analysis\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Data Structures"}], "\" \"", "\"Data Structures\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Data Transforms and Smoothing"}], "\" \"", "\"Data Transforms and Smoothing\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Data Visualization"}], "\" \"", "\"Data Visualization\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Date & Time"}], "\" \"", "\"Date & Time\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Decorations"}], "\" \"", "\"Decorations\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Differential Geometry"}], "\" \"", "\"Differential Geometry\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Dimension Reduction"}], "\" \"", "\"Dimension Reduction\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Discrete Mathematics"}], "\" \"", "\"Discrete Mathematics\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Dynamic Interactivity Language"}], "\" \"", "\"Dynamic Interactivity Language\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Engineering Data & Computation"}], "\" \"", "\"Engineering Data & Computation\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Error Handling"}], "\" \"", "\"Error Handling\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Expressions"}], "\" \"", "\"Expressions\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "External Interfaces & Connections"}], "\" \"", "\"External Interfaces & Connections\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "External Language Interfaces"}], "\" \"", "\"External Language Interfaces\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "File Operations"}], "\" \"", "\"File Operations\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Financial Data & Computation"}], "\" \"", "\"Financial Data & Computation\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Front End Utilities"}], "\" \"", "\"Front End Utilities\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Functional Programming"}], "\" \"", "\"Functional Programming\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Function Visualization"}], "\" \"", "\"Function Visualization\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Games"}], "\" \"", "\"Games\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Geographic Data and Entities"}], "\" \"", "\"Geographic Data and Entities\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Geographic Data & Computation"}], "\" \"", "\"Geographic Data & Computation\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Geographic Visualization"}], "\" \"", "\"Geographic Visualization\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Geometric Region Properties"}], "\" \"", "\"Geometric Region Properties\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Geometric Transforms"}], "\" \"", "\"Geometric Transforms\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Geometry"}], "\" \"", "\"Geometry\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Graph Construction & Representation"}], "\" \"", "\"Graph Construction & Representation\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Graph Properties & Measurements"}], "\" \"", "\"Graph Properties & Measurements\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Graphs & Networks"}], "\" \"", "\"Graphs & Networks\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Graph Visualization"}], "\" \"", "\"Graph Visualization\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Handling Arrays of Data"}], "\" \"", "\"Handling Arrays of Data\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[ "Higher Mathematical Computation", { False, "Higher Mathematical Computation"}], "\" \"", "\"Higher Mathematical Computation\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[ False, {False, "Image Filtering & Neighborhood Processing"}], "\" \"", "\"Image Filtering & Neighborhood Processing\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Image Processing & Analysis"}], "\" \"", "\"Image Processing & Analysis\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Images"}], "\" \"", "\"Images\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Importing and Exporting"}], "\" \"", "\"Importing and Exporting\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Interactive Manipulation"}], "\" \"", "\"Interactive Manipulation\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Iterated Maps & Fractals"}], "\" \"", "\"Iterated Maps & Fractals\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Just For Fun"}], "\" \"", "\"Just For Fun\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[ False, {False, "Knowledge Representation & Natural Language"}], "\" \"", "\"Knowledge Representation & Natural Language\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Layout & Tables"}], "\" \"", "\"Layout & Tables\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[ False, {False, "Life Sciences & Medicine: Data & Computation"}], "\" \"", "\"Life Sciences & Medicine: Data & Computation\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Linguistic Data"}], "\" \"", "\"Linguistic Data\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "List Manipulation"}], "\" \"", "\"List Manipulation\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Logic & Boolean Algebra"}], "\" \"", "\"Logic & Boolean Algebra\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Low-Level Notebook Programming"}], "\" \"", "\"Low-Level Notebook Programming\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Machine Learning"}], "\" \"", "\"Machine Learning\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Maps & Cartography"}], "\" \"", "\"Maps & Cartography\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Mathematical Functions"}], "\" \"", "\"Mathematical Functions\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[ "Matrices and Linear Algebra", { False, "Matrices and Linear Algebra"}], "\" \"", "\"Matrices and Linear Algebra\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Molecular Structure & Computation"}], "\" \"", "\"Molecular Structure & Computation\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Natural Language Processing"}], "\" \"", "\"Natural Language Processing\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Neural Networks"}], "\" \"", "\"Neural Networks\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Notebook Basics"}], "\" \"", "\"Notebook Basics\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Notebook Document Generation"}], "\" \"", "\"Notebook Document Generation\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Notebook Documents & Presentation"}], "\" \"", "\"Notebook Documents & Presentation\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Notebook Formatting & Styling"}], "\" \"", "\"Notebook Formatting & Styling\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Number Theory"}], "\" \"", "\"Number Theory\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Numeric Approximation"}], "\" \"", "\"Numeric Approximation\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Optimization"}], "\" \"", "\"Optimization\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Parallel Computing"}], "\" \"", "\"Parallel Computing\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Persistent Storage"}], "\" \"", "\"Persistent Storage\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[ False, {False, "Physics & Chemistry: Data and Computation"}], "\" \"", "\"Physics & Chemistry: Data and Computation\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Plane Geometry"}], "\" \"", "\"Plane Geometry\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox["Polynomial Algebra", {False, "Polynomial Algebra"}], "\" \"", "\"Polynomial Algebra\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Precollege Education"}], "\" \"", "\"Precollege Education\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Presentations with the Wolfram System"}], "\" \"", "\"Presentations with the Wolfram System\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Probability & Statistics"}], "\" \"", "\"Probability & Statistics\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Programming Utilities"}], "\" \"", "\"Programming Utilities\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Random Stuff"}], "\" \"", "\"Random Stuff\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Real & Complex Analysis"}], "\" \"", "\"Real & Complex Analysis\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Recreational Math"}], "\" \"", "\"Recreational Math\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Repository Tools"}], "\" \"", "\"Repository Tools\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "RepositoryTools"}], "\" \"", "\"RepositoryTools\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Rules & Patterns"}], "\" \"", "\"Rules & Patterns\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[ False, {False, "Scientific and Medical Data & Computation"}], "\" \"", "\"Scientific and Medical Data & Computation\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Scientific Data Analysis"}], "\" \"", "\"Scientific Data Analysis\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Segmentation Analysis"}], "\" \"", "\"Segmentation Analysis\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Sequence Analysis"}], "\" \"", "\"Sequence Analysis\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Shortcuts and Idioms"}], "\" \"", "\"Shortcuts and Idioms\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Signal Processing"}], "\" \"", "\"Signal Processing\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Social, Cultural & Linguistic Data"}], "\" \"", "\"Social, Cultural & Linguistic Data\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Social Data"}], "\" \"", "\"Social Data\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Solid Geometry"}], "\" \"", "\"Solid Geometry\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Sound & Video"}], "\" \"", "\"Sound & Video\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Statistical Data Analysis"}], "\" \"", "\"Statistical Data Analysis\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "String Manipulation"}], "\" \"", "\"String Manipulation\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Strings & Text"}], "\" \"", "\"Strings & Text\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[ "Symbolic & Numeric Computation", { False, "Symbolic & Numeric Computation"}], "\" \"", "\"Symbolic & Numeric Computation\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "System Operation & Setup"}], "\" \"", "\"System Operation & Setup\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Text Analysis"}], "\" \"", "\"Text Analysis\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Text Manipulation"}], "\" \"", "\"Text Manipulation\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Theorem Proving"}], "\" \"", "\"Theorem Proving\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Time-Related Computation"}], "\" \"", "\"Time-Related Computation\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Time Series Processing"}], "\" \"", "\"Time Series Processing\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Topology"}], "\" \"", "\"Topology\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Tuning & Debugging"}], "\" \"", "\"Tuning & Debugging\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Units & Quantities"}], "\" \"", "\"Units & Quantities\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "User Interface Construction"}], "\" \"", "\"User Interface Construction\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Viewers and Annotation"}], "\" \"", "\"Viewers and Annotation\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Visualization & Graphics"}], "\" \"", "\"Visualization & Graphics\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Weather Data"}], "\" \"", "\"Weather Data\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Web Operations"}], "\" \"", "\"Web Operations\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Wolfram Physics Project"}], "\" \"", "\"Wolfram Physics Project\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Wolfram System Setup"}], "\" \"", "\"Wolfram System Setup\""}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Working with Paclets"}], "\" \"", "\"Working with Paclets\""}, "RowDefault"], StripOnInput->False, FontSize->12], "\<\"\"\>"} }, AutoDelete->False, BaseStyle->{"ControlStyle"}, GridBoxAlignment->{"Columns" -> {{Left}}}, GridBoxItemSize->{"Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings->{"Columns" -> {{2}}}], "Grid"]], "Output", Editable->False, Deletable->False, TaggingRules->{ "CheckboxData" -> "OEM6eJxVUMtOwzAQlFALKUIcuCKBT9zyEVGgolKhVbc/4DjTxMKPyF4f/Pc4vFRO+\ 5idndltqpqWxNmALneJp8Q1XbUj1Af60yIutjoyPb7qYUQQb5JHWMlaSSNab8t0Kbyj+\ 4IErRCFdL3YagcZRGMGdEHS3d6b7LzVhfTbe6BsO2+0Ek/iPVkU8vnC4mnDsDGumsT+S7Gmah/\ 8hMCZrlvJGHzQiMXtbpop8XTx7XaOh2QQq5des+xKtlxLE/EHrJ5hcI7MJ3uTrPsveLtxjDAF/\ Fy5alym1EWUH90cEH0KCsc8gap1cmqe+QTL/3ZE"}, CellTags->{"Categories", "Categories-Checkboxes", "CheckboxCell"}, CellID->288871374] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Related Symbols", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"Related Symbols", Cell[ BoxData[ FrameBox[ Cell[ "List up to twenty documented, system-level Wolfram Language symbols \ related to the function.", "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoRelatedSymbols"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Subsection", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "Related Symbols"}, DefaultNewCellStyle->"Item", CellTags->{"Related Symbols", "TemplateCellGroup"}, CellID->659846169], Cell["GroebnerBasis", "Item", CellID->308336340], Cell["PolynomialExtendedGCD", "Item", CellID->456884433] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Related Resource Objects", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"Related Resource Objects", Cell[ BoxData[ FrameBox[ Cell[ "List the names of published resource objects from any Wolfram \ repository that are related to this function.", "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoRelatedResourceObjects"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Subsection", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "Related Resource Objects"}, DefaultNewCellStyle->"Item", CellTags->{"Related Resource Objects", "TemplateCellGroup"}, CellID->465534472], Cell["ExtendedLatticeReduce", "Item", CellID->575136588] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Source/Reference Citation", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"Source/Reference Citation", Cell[ BoxData[ FrameBox[ Cell[ "Give a bibliographic-style citation for the original source of the \ function and/or its components (e.g. a published paper, algorithm, or code \ repository).", "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoSourceReferenceCitation"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Subsection", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "Source/Reference Citation"}, DefaultNewCellStyle->"Text", CellTags->{"Source/Reference Citation", "TemplateCellGroup"}, CellID->515669552], Cell["Source, reference or citation information", "Text", CellEventActions->{Inherited, {"KeyDown", "\t"} :> Replace[SelectionMove[ SelectedNotebook[], After, Cell]; NotebookFind[ SelectedNotebook[], "TabNext", Next, CellTags, AutoScroll -> True, WrapAround -> True], Blank[NotebookSelection] :> SelectionMove[ SelectedNotebook[], All, CellContents, AutoScroll -> True]], PassEventsDown -> False, PassEventsUp -> False}, CellTags->{"DefaultContent", "TabNext"}, CellID->436399423] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Links", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"Links", Cell[ BoxData[ FrameBox[ Cell[ "List additional URLs or hyperlinks for external information related \ to the function.", "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoLinks"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Subsection", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "Links"}, DefaultNewCellStyle->"Item", CellTags->{"Links", "TemplateCellGroup"}, CellID->571756773], Cell["Link to other related material", "Item", CellEventActions->{Inherited, {"KeyDown", "\t"} :> Replace[SelectionMove[ SelectedNotebook[], After, Cell]; NotebookFind[ SelectedNotebook[], "TabNext", Next, CellTags, AutoScroll -> True, WrapAround -> True], Blank[NotebookSelection] :> SelectionMove[ SelectedNotebook[], All, CellContents, AutoScroll -> True]], PassEventsDown -> False, PassEventsUp -> False}, CellTags->{"DefaultContent", "TabNext"}, CellID->132505746] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Tests", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"VerificationTests", Cell[ BoxData[ FrameBox[ Cell[ TextData[{ "Specify an optional list of tests for verifying that the function \ is working properly in any environment. Tests can be specified as \ Input/Output cell pairs or as symbolic ", Cell[ BoxData[ StyleBox[ TagBox[ ButtonBox[ StyleBox[ "VerificationTest", "SymbolsRefLink", ShowStringCharacters -> True, FontFamily -> "Source Sans Pro"], BaseStyle -> Dynamic[ FEPrivate`If[ CurrentValue["MouseOver"], { "Link", FontColor -> RGBColor[0.8549, 0.39608, 0.1451]}, { "Link"}]], ButtonData -> "paclet:ref/VerificationTest", ContentPadding -> False], MouseAppearanceTag["LinkHand"]], ShowStringCharacters -> True, FontFamily -> "Source Sans Pro"]]], " expressions for including additional options."}], "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoVerificationTests"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Subsection", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "VerificationTests"}, DefaultNewCellStyle->"Input", CellTags->{"TemplateCellGroup", "Tests", "VerificationTests"}, CellID->561308448], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"MyFunction", "[", RowBox[{"x", ",", "y"}], "]"}]], "Input", CellTags->"DefaultContent", CellLabel->"In[3]:=", CellID->946203791], Cell[BoxData[ RowBox[{"x", " ", "y"}]], "Output", CellTags->"DefaultContent", CellLabel->"Out[3]=", CellID->168370258] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Compatibility", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"Compatibility", Cell[ BoxData[ FrameBox[ Cell[ "Specify any known compatibilities for your resource to ensure it is \ discoverable on the correct platforms.", "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoCompatibility"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Subsection", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "Compatibility"}, CellTags->{"Compatibility", "TemplateCellGroup"}, CellID->559974822], Cell[CellGroupData[{ Cell[TextData[{ "Wolfram Language Version", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"CompatibilityWolframLanguageVersionRequired", Cell[ BoxData[ FrameBox[ Cell[ "Enter required Wolfram Language Version (e.g. 12.1+).", "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> { "SectionMoreInfoCompatibilityWolframLanguageVersionRequired"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Subsubsection", Editable->False, Deletable->False, CellMargins->{{Inherited, Inherited}, {4, 6}}, TaggingRules->{ "TemplateGroupName" -> "CompatibilityWolframLanguageVersionRequired"}, DefaultNewCellStyle->"Text", FontSize->16, CellTags->{ "CompatibilityWolframLanguageVersionRequired", "TemplateCellGroup", "Wolfram Language Version"}, CellID->901090016], Cell["12.3+", "Text", CellTags->{"DefaultContent", "ScrapeDefault"}, CellID->913148768] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Operating System", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"CompatibilityOperatingSystem", Cell[ BoxData[ FrameBox[ Cell[ "Select all operating systems where your resource is expected to \ function properly.", "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoCompatibilityOperatingSystem"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Subsubsection", Editable->False, Deletable->False, CellMargins->{{Inherited, Inherited}, {4, 6}}, TaggingRules->{"TemplateGroupName" -> "CompatibilityOperatingSystem"}, DefaultNewCellStyle->"Item", FontSize->16, CellTags->{ "CompatibilityOperatingSystem", "Operating System", "TemplateCellGroup"}, CellID->499582406], Cell[BoxData[ TagBox[GridBox[{ { StyleBox[ TemplateBox[{ CheckboxBox["Windows", {False, "Windows"}], "\" \"", "\"Windows\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox["MacOSX", {False, "MacOSX"}], "\" \"", "\"Mac\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox["Unix", {False, "Unix"}], "\" \"", "\"Unix\""}, "RowDefault"], StripOnInput->False, FontSize->12]} }, AutoDelete->False, BaseStyle->{"ControlStyle"}, GridBoxAlignment->{"Columns" -> {{Left}}}, GridBoxItemSize->{"Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings->{"Columns" -> {{2}}}], "Grid"]], "Output", Editable->False, Deletable->False, TaggingRules->{ "CheckboxData" -> "OEM6eJxNkNuKwkAMhsEerLDsE/gKfQipCoJLF7PL7m0PUQenM8Mkg87bmwot3iX5/\ 3w5bIoSMuCoEfI6sAtcwrK6YnfD/pxQelTEsPxTprd3gvyr6Wr4h/\ TXqIc0HhgHmmznBaWnIKDZPgWzkkj/\ BJmLL9iELL69deg5wrqyg2tYtUorjrUUJTEXiCRDZcnasbLmxX6fTsWuV9y0EmX7RhPOwmqLGt+\ V8VKrw2CoSkr4PBhG77xYRjCsNiZCaAnlIx8nJBt8hz/RIRT7YLrR8wRtF2wJ"}, CellTags->{ "CheckboxCell", "CompatibilityOperatingSystem", "CompatibilityOperatingSystem-Checkboxes"}, CellID->40078524] }, Closed]], Cell[CellGroupData[{ Cell[TextData[{ "Required Features", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"CompatibilityFeatures", Cell[ BoxData[ FrameBox[ Cell[ TextData[{"Choose any other features that are ", Cell[ BoxData[ StyleBox[ StyleBox["required", "TI"], ShowStringCharacters -> True, FontFamily -> "Source Sans Pro"]]], " in order to use your resource."}], "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoCompatibilityFeatures"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Subsubsection", Editable->False, Deletable->False, CellMargins->{{Inherited, Inherited}, {4, 6}}, TaggingRules->{"TemplateGroupName" -> "CompatibilityFeatures"}, DefaultNewCellStyle->"Item", FontSize->16, CellTags->{"CompatibilityFeatures", "Required Features", "TemplateCellGroup"}, CellID->989275156], Cell[BoxData[ TagBox[GridBox[{ { StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Notebooks"}], "\" \"", "\"Notebooks\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Parallel Kernels"}], "\" \"", "\"Parallel Kernels\""}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox[False, {False, "Cloud Access"}], "\" \"", "\"Cloud Access\""}, "RowDefault"], StripOnInput->False, FontSize->12]} }, AutoDelete->False, BaseStyle->{"ControlStyle"}, GridBoxAlignment->{"Columns" -> {{Left}}}, GridBoxItemSize->{"Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings->{"Columns" -> {{2}}}], "Grid"]], "Output", Editable->False, Deletable->False, TaggingRules->{ "CheckboxData" -> "OEM6eJxlUM1qwzAMHmuzJlDKLrv3BfIQIVugrKyl2gs4jsJMFdtY8sFvP2eDkLHb96cPSU1ZQw\ GSCOHpEsVHqWHXfqG+4zA+8PZsOCvFSXDicfPLx0fe3mKeqD6cYO/cnVdwcZ+vKigipOM7BovE/\ 5Ulu2/JxeHYaI3Mf1kN5TU4j0ESvLRu8kpMb8hI6lBJDJgTu4sX4+\ xP33pDLt8GI6rPqOgUMS5G9YqEa2c+21GcLLebGg4nKxh8yJG5GKrGJog9Y37G/\ obsYtD4mTxC2UWr58w3NfBx2Q=="}, CellTags->{ "CheckboxCell", "CompatibilityFeatures", "CompatibilityFeatures-Checkboxes"}, CellID->396992059] }, Closed]], Cell[CellGroupData[{ Cell[TextData[{ "Environments", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"CompatibilityEvaluationEnvironment", Cell[ BoxData[ FrameBox[ Cell[ TextData[{ "Select all evaluation environments where your resource is expected \ to be compatible. See ", Cell[ BoxData[ StyleBox[ TagBox[ ButtonBox[ StyleBox[ "$EvaluationEnvironment", "SymbolsRefLink", ShowStringCharacters -> True, FontFamily -> "Source Sans Pro"], BaseStyle -> Dynamic[ FEPrivate`If[ CurrentValue["MouseOver"], { "Link", FontColor -> RGBColor[0.8549, 0.39608, 0.1451]}, { "Link"}]], ButtonData -> "paclet:ref/$EvaluationEnvironment", ContentPadding -> False], MouseAppearanceTag["LinkHand"]], ShowStringCharacters -> True, FontFamily -> "Source Sans Pro"]]], " for more details."}], "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoCompatibilityEvaluationEnvironment"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Subsubsection", Editable->False, Deletable->False, CellMargins->{{Inherited, Inherited}, {4, 6}}, TaggingRules->{"TemplateGroupName" -> "CompatibilityEvaluationEnvironment"}, DefaultNewCellStyle->"Item", FontSize->16, CellTags->{ "CompatibilityEvaluationEnvironment", "Environments", "TemplateCellGroup"}, CellID->605308563], Cell[BoxData[ TagBox[GridBox[{ { StyleBox[ TemplateBox[{ CheckboxBox["Session", {False, "Session"}], "\" \"", TemplateBox[{"\"Session\"", "\"Local or cloud interactive session\""}, "PrettyTooltipTemplate"]}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox["Script", {False, "Script"}], "\" \"", TemplateBox[{"\"Script\"", "\"Script run in batch mode\""}, "PrettyTooltipTemplate"]}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox["Subkernel", {False, "Subkernel"}], "\" \"", TemplateBox[{"\"Subkernel\"", "\"Parallel or grid subkernel\""}, "PrettyTooltipTemplate"]}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox["WebEvaluation", {False, "WebEvaluation"}], "\" \"", TemplateBox[{ "\"WebEvaluation\"", "\"Cloud evaluation initiated by an HTTP request\""}, "PrettyTooltipTemplate"]}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox["WebAPI", {False, "WebAPI"}], "\" \"", TemplateBox[{"\"WebAPI\"", "\"API called through an HTTP request\""}, "PrettyTooltipTemplate"]}, "RowDefault"], StripOnInput->False, FontSize->12], StyleBox[ TemplateBox[{ CheckboxBox["Scheduled", {False, "Scheduled"}], "\" \"", TemplateBox[{"\"Scheduled\"", "\"Scheduled task\""}, "PrettyTooltipTemplate"]}, "RowDefault"], StripOnInput->False, FontSize->12]}, { StyleBox[ TemplateBox[{ CheckboxBox["BatchJob", {False, "BatchJob"}], "\" \"", TemplateBox[{"\"BatchJob\"", "\"Remote batch job\""}, "PrettyTooltipTemplate"]}, "RowDefault"], StripOnInput->False, FontSize->12], "\<\"\"\>", "\<\"\"\>"} }, AutoDelete->False, BaseStyle->{"ControlStyle"}, GridBoxAlignment->{"Columns" -> {{Left}}}, GridBoxItemSize->{"Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings->{"Columns" -> {{2}}}], "Grid"]], "Output", Editable->False, Deletable->False, TaggingRules->{ "CheckboxData" -> "OEM6eJxdUdFqwzAMhK1tEtj2EXvPR3RpChmDlmqw58RRialjG0su5O/\ nlMTJ9mRJd9yd5H2awxZ4UAi7k2frOYek6FDcsL0mtPmSxJAAEkmjYQfCScuQgW9u6DQqeP3BprzXy\ tf8YIR2f64CQ3TYeoUtpB81i+7TNMGpYuxp1r0+0eYSKIv+XERkNpzeOF8FWMqI/\ sv0t120p6jTu9KO0ZcyonGb9V7p2RmLjgd4L0xvg08jleRhcS31XTqje9TjgU92nNEouj4EpWUruW5\ CtT3WijAC2QEVrpHxl4zyvabiOYe3SjM66wLlsXG210M4C2Ewe7kgGe8Efg82xD96LUbOL+VQrkA=\ "}, CellTags->{ "CheckboxCell", "CompatibilityEvaluationEnvironment", "CompatibilityEvaluationEnvironment-Checkboxes"}, CellID->62394308] }, Closed]], Cell[CellGroupData[{ Cell[TextData[{ "Cloud Support", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"CompatibilityCloudSupport", Cell[ BoxData[ FrameBox[ Cell[ "Specify whether your resource is expected to work in the public \ cloud.", "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoCompatibilityCloudSupport"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Subsubsection", Editable->False, Deletable->False, CellMargins->{{Inherited, Inherited}, {4, 6}}, TaggingRules->{"TemplateGroupName" -> "CompatibilityCloudSupport"}, DefaultNewCellStyle->"Text", FontSize->16, CellTags->{"Cloud Support", "CompatibilityCloudSupport", "TemplateCellGroup"}, CellID->129998371], Cell[BoxData[ TagBox[GridBox[{ { StyleBox[ TemplateBox[{ CheckboxBox[True, {False, True}], "\" \"", "\"Supported in cloud\""}, "RowDefault"], StripOnInput->False, FontSize->12]} }, AutoDelete->False, BaseStyle->{"ControlStyle"}, GridBoxAlignment->{"Columns" -> {{Left}}}, GridBoxItemSize->{"Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings->{"Columns" -> {{2}}}], "Grid"]], "Output", Editable->False, Deletable->False, TaggingRules->{ "CheckboxData" -> "OEM6eJxNjkEKwkAMRVGqVhAX7tx5gR5Cq0JBqBgvUNsUB6eTYZIsentnQMVdyH/vJ/\ u8gBnIaBHmtYpXKWBRPrF9YddPOLsYFs7uQTFyleDA320/\ 5eym0duAek9BsNsZt2stafc18msgj0FG2JY0+EbMw1gjY5mgjxbv1V4MOU6N/\ 82cnzojzSNOs3NjGX/B8ogW/5P0NFkdHJeTAtaVEww+RCQVw+\ JAZLFxBaxuyKShxfvoEfKzujYRb6FXWpA="}, CellTags->{ "CheckboxCell", "CompatibilityCloudSupport", "CompatibilityCloudSupport-Checkboxes"}, CellID->454919203] }, Closed]] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[TextData[{ "Author Notes", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"Author Notes", Cell[ BoxData[ FrameBox[ Cell[ "This section, when used, will appear near the bottom of the \ published resource. Content displayed in this section can include background, \ possible improvements, additional information and/or implementation details \ that are otherwise beyond the scope of the function documentation.", "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoAuthorNotes"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Section", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "Author Notes"}, DefaultNewCellStyle->"Text", CellTags->{"Author Notes", "TemplateCellGroup"}, CellID->681870591], Cell["Additional information about limitations, issues, etc.", "Text", CellEventActions->{Inherited, {"KeyDown", "\t"} :> Replace[SelectionMove[ SelectedNotebook[], After, Cell]; NotebookFind[ SelectedNotebook[], "TabNext", Next, CellTags, AutoScroll -> True, WrapAround -> True], Blank[NotebookSelection] :> SelectionMove[ SelectedNotebook[], All, CellContents, AutoScroll -> True]], PassEventsDown -> False, PassEventsUp -> False}, CellTags->{"DefaultContent", "TabNext"}, CellID->958952487] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Submission Notes", Cell[BoxData[ PaneSelectorBox[{True-> TemplateBox[{"Submission Notes", Cell[ BoxData[ FrameBox[ Cell[ "Enter any additional information that you would like to communicate \ to the reviewer here. This section will not be included in the published \ resource.", "MoreInfoText"], Background -> GrayLevel[0.95], FrameMargins -> 20, FrameStyle -> GrayLevel[0.9], RoundingRadius -> 5, ImageSize -> { Scaled[0.65], Automatic}]], "MoreInfoText", Deletable -> True, CellTags -> {"SectionMoreInfoSubmissionNotes"}, CellMargins -> {{66, 66}, {15, 15}}]}, "MoreInfoOpenerButtonTemplate"]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ResourceCreateNotebook"}]], ImageSize->Automatic]]] }], "Section", Editable->False, Deletable->False, TaggingRules->{"TemplateGroupName" -> "Submission Notes"}, DefaultNewCellStyle->"Text", CellTags->{"Submission Notes", "TemplateCellGroup"}, CellID->916799765], Cell["Additional information for the reviewer.", "Text", CellEventActions->{Inherited, {"KeyDown", "\t"} :> Replace[SelectionMove[ SelectedNotebook[], After, Cell]; NotebookFind[ SelectedNotebook[], "TabNext", Next, CellTags, AutoScroll -> True, WrapAround -> True], Blank[NotebookSelection] :> SelectionMove[ SelectedNotebook[], All, CellContents, AutoScroll -> True]], PassEventsDown -> False, PassEventsUp -> False}, CellTags->{"DefaultContent", "TabNext"}, CellID->604291542] }, Open ]] }, Open ]] }, WindowSize->Automatic, WindowMargins->Automatic, WindowTitle->"ExtendedGroebnerBasis | Definition Notebook", TaggingRules->{"CompatibilityTest" -> HoldComplete[ BinaryDeserialize[ BaseDecode[ "OEM6eJzVWVtT20YUrjEQBhxaMulMkyc98EAyadJpO9NL2iauDcQdIMCa9JW1dGQ0rHeV3RWg\ X9a/17MrydhGciTbTFNPJsja1XfOnut3LH9JPWqJQSgi7u3ehBKUCgT3a2rlJApA+/nLS2qp4+P/\ 9Sb38M/K7seIMrW5/QGkWT+KBj2Q0refnbdmB6EDOMGLRiuSErj+QFkE/\ hfq0e4VXlFtnhIaekJc4q7lg0Bp1ejSfj/g/dOIgSKNU1Aiki504xDIcptqimouv+\ cuFGq58icT7qXZlgButwTXcKOPqb7w60UnPwLwFNnJ5JFYaRi0WIBqn7fBD3gwqu757SOOUSp7LG+\ rWj6KGEPFXt5dTAWcQh9VBYma+kE/ktY0w+O+KavUKYRCBVrIOAFMcFQKVLf+\ q6m1PRqwSKJnaurhMXUZ6A5XmjJGvinS0F+\ dxdgzmbXRFWOeWSdaYjz8JQIjr35IQ3uGiLvmSX8lkUyeFBrXKkeVCeuNBIuELNDmNmFCt2qkdk6Wf\ v195MbS63WrPMavIs/KKv/\ cXy6wUp2AkbfeFtfcJoFSv5RFzS7eRxrdCJ5JqHX0NKMuNDGuFgi7YZKuDYzG4CHuxjvBPHQkBiZXf\ 5QFPpbBFQKeXyVlYV8CfpPqwRlXaTnIsUa7KjoNQ+DeGb+\ g3GPgtYAxNdUwi5IwxUb4tbKVXITFipcikK0uDPAAGoy4fSmicH5QzN1Gk5krLAdXGNBft3BTX8gA1\ LetC3Ave+IGb2/e3jbSSSNbs982UR6NmLb5zXWOpuTL7BaBJDdzXV26mg0doS674iz08Dqt+\ 8VeXgD4mIPreONBlgJr+0z0KDu/MC1t1KLqp7Ji90G/\ CzwPeFKIyqfrHuVu3LoQgQvtgDLRH1WskSomNXZJ7K9YlCm/\ zFOd4uqWXTU9icDHCPDU5FFqAeZlAk+\ wXQzPOy5gBCxrKStdGdnUnrNKVGl22UUWdCkNUd9XVYH3quRYSmUmpY5ZKLPnEVwP7Zlr4yRB1GFVl\ bcjBQfQp27c6XMhk+qU+VotG2/kJ9/rspJycCcSb1oazilmWo1dUqsH+\ KQtjHtV7dYHnZWxcYkLSyVMiQ3UHLAuUgXqPtQtzEak0JY1r5rdnbbJS6ufetDBmt3HSF3rcCss/\ oSR60OtCw6eApeue9mJ1LAz3IHt3Vp7KH5EZk3tVm6DlAseuJQdSxECWsvyuVl1HlE0f4hYSotho6m\ UcAPLvU9Us3Juh6m2JEb144GJobWmJSNdsRg4GyZkk1igQ9DUM/\ NBOoGRtVagkwHkSbLj1Sn4IE10O9nSbXVZjFdGhE6olUxPwxkqGUGXD9Dmd0bPL+zn+\ VucCeYZVqZMEhX4/fNClGqEvhrONAb/YyESDoGXtA/ERYdU4+1nhZhJt8uLg0TYzET+3kROZ/\ YlrVeGz88E9Zmx+OP5vVCB1t+HtFl4/k6hHpPEvjht/ydMfqZqgQDffbJeTVLn1tzOtQz+\ VSHMfVD2YqXHzDMzUX9RiD8fM6+KW5aK/1bOHv8tAZ9Lyc+Idv9ceA7iShpi/ZnMkHl49+\ uS7SqXbc+s6ox0uzPlN/bsx3HMtiicFDuddi8UdpH0ex7nlCTdtbHf2yfeAuUz8R/sZ+etcc9oqyP/\ 1LoXgXJ4qqpjqBiVytHC6YHj2i7iOb4UA4c6HK5BOmmHeeEogf8G4Pi4KcIocAY0NkjOtZCIpBy4CT\ F2wHvptIUTi8i5DtSFgdYydmikxQAPizZgseMKjrgaw8/RYwrhboqrgxC39hhk0t/cTg/\ 1dHpYy6aH8TlCbaLrk2YjJJVx4TBiHTj5bmz4CqLgfdhDgg6L1CGioG9x+\ xY6tG9AO9zDs2EcDuvRetMalxpasHaEJNB0BOvNVRIPeoKRp8nbn0PKEUyeJ9+Snkce5811pZ/+\ KouXDOV2vNqeXMp9D7QyIujZnSeKiMG4/\ WyabbVsUI30dbWyR5mC4Y6npzAQV7A7CHW8e0ORJGTUV01ufdzMGR2GbTwVmCj3d8A9cd0NNHoiRcl\ 98fkvn3IKDA=="]]], "CreationTimestamp" -> 3.859300541298475`16.339083589536262*^9, "DefinitionNotebookFramework" -> "DefinitionNotebookClient", "ResourceCreateNotebook" -> True, "ResourceType" -> "Function", "RuntimeConfiguration" -> { "LoadingMethod" -> "Paclet", "PacletName" -> "FunctionResource", "Contexts" -> { "FunctionResource`", "FunctionResource`DefinitionNotebook`"}, "DefaultContentMethod" -> "Legacy"}, "ToolsOpen" -> False, "UpdatedTimestamp" -> 3.859300541355039`16.33908358954263*^9, "VersionInformation" -> {"ResourceVersion" -> "1.0.0"}, "TemplateVersion" -> "1.6.3", "StatusMessage" -> "", "SubmissionReviewData" -> {"Review" -> False}}, CreateCellID->True, FrontEndVersion->"13.0 for Linux x86 (64-bit) (November 22, 2021)", StyleDefinitions->Notebook[{ Cell[ StyleData[StyleDefinitions -> "Default.nb"]], Cell[ StyleData[All, "Working"], DockedCells -> { Cell[ BoxData[ TemplateBox[{}, "MainGridTemplate"]], "DockedCell", CellMargins -> {{-10, -10}, {-8, -8}}, CellFrame -> 0, Background -> RGBColor[0.921569, 0.341176, 0.105882], CellTags -> {"MainDockedCell"}, CacheGraphics -> False], Cell[ BoxData[ TemplateBox[{}, "ToolsGridTemplate"]], "DockedCell", TaggingRules -> {"Tools" -> True}, CellTags -> {"ToolbarDockedCell"}, CellFrameMargins -> {{0, 0}, {2, 2}}, CellFrame -> {{0, 0}, {1, 0}}, CacheGraphics -> False, CellOpen -> Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ToolsOpen"}, True]]]}, PrivateNotebookOptions -> { "FileOutlineCache" -> False, "SafeFileOpen" -> "IgnoreCache"}, CellLabelAutoDelete -> False, CodeAssistOptions -> {"AutoDetectHyperlinks" -> False}, AutoQuoteCharacters -> {}], Cell["Hint Styles", "Section"], Cell[ StyleData["MoreInfoText", StyleDefinitions -> StyleData["Text"]], FontColor -> GrayLevel[0.25]], Cell[ StyleData["ErrorText", StyleDefinitions -> StyleData["Text"]], ShowCellBracket -> False, CellMargins -> {{66, Inherited}, {10, 10}}, CellElementSpacings -> {"CellMinHeight" -> 0, "ClosedCellHeight" -> 0}, FontWeight -> Bold, FontColor -> RGBColor[1, 0, 0]], Cell[ StyleData["WarningText", StyleDefinitions -> StyleData["Text"]], ShowCellBracket -> False, CellMargins -> {{66, 35}, {0, 0}}, FontSize -> 14, GridBoxOptions -> {BaseStyle -> {}}], Cell["Template Boxes", "Section"], Cell[ StyleData["MoreInfoOpenerIconTemplate"], TemplateBoxOptions -> { DisplayFunction -> (PaneSelectorBox[{False -> GraphicsBox[{ Thickness[0.09090909090909091], StyleBox[{ JoinedCurveBox[{{{1, 4, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}}}, CompressedData[" 1:eJxTTMoPSmVmYGBgBGJJIGYC4vinF5RuVyo58OlumvteXcIBxj//Pfjx0tky Dh8v+SYJzFB0kGAJ49MtUnBYIKV/V4UNRis5GHKskYl6IuPwCaxO2eEcWJ+E QwLYHBUHfrC5InD+7CMKG4oy+OH81TJRKdb32eD6+w991YjpZ4CbD1L2s+6L Pcz+R1Ui69wfvrKHuQ/Gh7kfxvdLEoiw3CIM178BbA8f3PwJYJoDbn9JxsS3 NfZMcPcV2HJdX1zw1x7mfhgf5j8YH+Z/mH5Y+MDMh4UfzH5Y+MLchx7+ANUf raY= "], CurveClosed -> {1}]}, { JoinForm[{"Miter", 3.25}], Thickness[0.04581818181818182], RGBColor[0.627441, 0.627441, 0.627441, 1.]}, StripOnInput -> False], StyleBox[{ FilledCurveBox[{{{1, 4, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {1, 3, 3}, {1, 3, 3}, {0, 1, 0}, {1, 3, 3}, {1, 3, 3}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {1, 3, 3}, {1, 3, 3}, {0, 1, 0}}}, {CompressedData[" 1:eJxTTMoPSmViYGCQBGIQLTQ3t12zRcShJLdco9dU3mHepS6LtrvCcP4+Xv/m N77CDovcOdKu58g7FPjtSo+5KuTw57fmw+zb8g5K/ao+Z2KEHHRuqOoxqCo4 1OhH27UoCDnsSqhWX5aN4K+ZPvXO8oMI/txz6yeuFFeE67fRSpTaE6sIN79j 1cqy+5MV4fZf1fp0iemUItx9v7PEGkWeKjrA3A/jf+Fa9FHHQBTOX+1ud9n/ oChcv3mwk84kczG4+Yfi3FqvrBWD29+RcmLj1xdicPfB+DD3w/gw/8H0w/wP Mx8WPjD7YeEHcx8sfNHDHwBu/qSR "], CompressedData[" 1:eJxTTMoPSmViYGCQB2IQvf+bus9hGwmHDp1Dj7Lq+R1g/C8aMf2HvvI4TGr/ 8PXaHQEMPkz934jyRxrThRx4jt4OchAXgPMDH16pmH8JwZ97RmCl6XRBOP9D W/9jplQhOF+/1m7LFGNhOJ/l29N9k18i+AUfW5kZ2kXg/Ple3+bO/C4K5+fN DQ4+fUAMzt9xf9q57xnicH6N4AF++Q8IvqPzywC3cgk4PyFkivMkFkk4/4bL wedMMyQdDs1vE5FYJOBwYaHqp4u3EPzQT5dO7vwk5SCxtot3p4WYw73/Kfef X5RxYLv4XzxkhpjDona/Xv0OBH+hx9ZwiywJOB/mHxgf5l8Y30/526VcIyR+ 5Tb7vkQhON/3fNmadRME4fxHts2x9mcF4HxYfKDHLwCFIt67 "]}]}, { FaceForm[ RGBColor[0.627441, 0.627441, 0.627441, 1.]]}, StripOnInput -> False]}, ImageSize -> {11., 11.}, PlotRange -> {{0., 11.}, {0., 11.}}, AspectRatio -> Automatic], True -> GraphicsBox[{ Thickness[0.09090909090909091], StyleBox[{ JoinedCurveBox[{{{1, 4, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}}}, CompressedData[" 1:eJxTTMoPSmVmYGBgBGJJIGYC4vinF5RuVyo58OlumvteXcIBxj//Pfjx0tky Dh8v+SYJzFB0kGAJ49MtUnBYIKV/V4UNRis5GHKskYl6IuPwCaxO2eEcWJ+E QwLYHBUHfrC5InD+7CMKG4oy+OH81TJRKdb32eD6+w991YjpZ4CbD1L2s+6L Pcz+R1Ui69wfvrKHuQ/Gh7kfxvdLEoiw3CIM178BbA8f3PwJYJoDbn9JxsS3 NfZMcPcV2HJdX1zw1x7mfhgf5j8YH+Z/mH5Y+MDMh4UfzH5Y+MLchx7+ANUf raY= "], CurveClosed -> {1}]}, { JoinForm[{"Miter", 3.25}], Thickness[0.04581818181818182], RGBColor[0.5, 0.5, 0.5, 1.]}, StripOnInput -> False], StyleBox[{ FilledCurveBox[{{{1, 4, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}}}, CompressedData[" 1:eJxTTMoPSmVmYGBgBGJJIGYC4vinF5RuVyo58OlumvteXcIBxj//Pfjx0tky Dh8v+SYJzFB0kGAJ49MtUnBYIKV/V4UNRis5GHKskYl6IuPwCaxO2eEcWJ+E QwLYHBUHfrC5InD+7CMKG4oy+OH81TJRKdb32eD6+w991YjpZ4CbD1L2s+6L Pcz+R1Ui69wfvrKHuQ/Gh7kfxvdLEoiw3CIM178BbA8f3PwJYJoDbn9JxsS3 NfZMcPcV2HJdX1zw1x7mfhgf5j8YH+Z/mH5Y+MDMh4UfzH5Y+MLchx7+ANUf raY= "]]}, { FaceForm[ RGBColor[0.5, 0.5, 0.5, 1.]]}, StripOnInput -> False], StyleBox[{ FilledCurveBox[{{{1, 4, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {1, 3, 3}, {1, 3, 3}, {0, 1, 0}, {1, 3, 3}, {1, 3, 3}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {1, 3, 3}, {1, 3, 3}, {0, 1, 0}}}, {CompressedData[" 1:eJxTTMoPSmViYGCQBGIQLTQ3t12zRcShJLdco9dU3mHepS6LtrvCcP4+Xv/m N77CDovcOdKu58g7FPjtSo+5KuTw57fmw+zb8g5K/ao+Z2KEHHRuqOoxqCo4 1OhH27UoCDnsSqhWX5aN4K+ZPvXO8oMI/txz6yeuFFeE67fRSpTaE6sIN79j 1cqy+5MV4fZf1fp0iemUItx9v7PEGkWeKjrA3A/jf+Fa9FHHQBTOX+1ud9n/ oChcv3mwk84kczG4+Yfi3FqvrBWD29+RcmLj1xdicPfB+DD3w/gw/8H0w/wP Mx8WPjD7YeEHcx8sfNHDHwBu/qSR "], CompressedData[" 1:eJxTTMoPSmViYGCQB2IQvf+bus9hGwmHDp1Dj7Lq+R1g/C8aMf2HvvI4TGr/ 8PXaHQEMPkz934jyRxrThRx4jt4OchAXgPMDH16pmH8JwZ97RmCl6XRBOP9D W/9jplQhOF+/1m7LFGNhOJ/l29N9k18i+AUfW5kZ2kXg/Ple3+bO/C4K5+fN DQ4+fUAMzt9xf9q57xnicH6N4AF++Q8IvqPzywC3cgk4PyFkivMkFkk4/4bL wedMMyQdDs1vE5FYJOBwYaHqp4u3EPzQT5dO7vwk5SCxtot3p4WYw73/Kfef X5RxYLv4XzxkhpjDona/Xv0OBH+hx9ZwiywJOB/mHxgf5l8Y30/526VcIyR+ 5Tb7vkQhON/3fNmadRME4fxHts2x9mcF4HxYfKDHLwCFIt67 "]}]}, { FaceForm[ RGBColor[0.999985, 0.999985, 0.999985, 1.]]}, StripOnInput -> False]}, ImageSize -> {11., 11.}, PlotRange -> {{0., 11.}, {0., 11.}}, AspectRatio -> Automatic]}, Dynamic[ CurrentValue["MouseOver"]], ImageSize -> Automatic, FrameMargins -> 0]& )}], Cell[ StyleData["MoreInfoOpenerButtonTemplate"], TemplateBoxOptions -> {DisplayFunction -> (AdjustmentBox[ DynamicModuleBox[{ RSNB`mPosRegion$$, RSNB`attachPos$$, RSNB`offsetPos$$, RSNB`horizontalRegion$$, RSNB`verticalRegion$$, RSNB`chooseAttachLocation$$}, TagBox[ TemplateBox[{ TemplateBox[{}, "MoreInfoOpenerIconTemplate"], "\"Click for more information\""}, "PrettyTooltipTemplate"], EventHandlerTag[{"MouseDown" :> AttachCell[ ParentBox[ EvaluationBox[]], #2, RSNB`chooseAttachLocation$$[], RemovalConditions -> {"EvaluatorQuit", "MouseClickOutside"}], Method -> "Preemptive", PassEventsDown -> Automatic, PassEventsUp -> True}]], DynamicModuleValues :> {{DownValues[RSNB`mPosRegion$$] = {HoldPattern[ RSNB`mPosRegion$$[]] :> RSNB`mPosRegion$$[ Ceiling[MousePosition["WindowScaled"] 3]], HoldPattern[ RSNB`mPosRegion$$[ Pattern[RSNB`reg, { Blank[Integer], Blank[Integer]}]]] :> RSNB`reg, HoldPattern[ RSNB`mPosRegion$$[ BlankNullSequence[]]] :> None}}, { DownValues[RSNB`attachPos$$] = {HoldPattern[ RSNB`attachPos$$[{ Pattern[RSNB`h$, Blank[Integer]], Pattern[RSNB`v$, Blank[Integer]]}]] :> { RSNB`horizontalRegion$$[RSNB`h$], RSNB`verticalRegion$$[RSNB`v$]}}}, { DownValues[RSNB`offsetPos$$] = {HoldPattern[ RSNB`offsetPos$$[{ Pattern[RSNB`h$, Blank[Integer]], Pattern[RSNB`v$, Blank[Integer]]}]] :> { RSNB`horizontalRegion$$[4 - RSNB`h$], RSNB`verticalRegion$$[4 - RSNB`v$]}}}, { DownValues[RSNB`horizontalRegion$$] = {HoldPattern[ RSNB`horizontalRegion$$[1]] :> Left, HoldPattern[ RSNB`horizontalRegion$$[2]] :> Center, HoldPattern[ RSNB`horizontalRegion$$[3]] :> Right}}, { DownValues[RSNB`verticalRegion$$] = {HoldPattern[ RSNB`verticalRegion$$[1]] :> Top, HoldPattern[ RSNB`verticalRegion$$[2]] :> Top, HoldPattern[ RSNB`verticalRegion$$[3]] :> Top}}, { DownValues[RSNB`chooseAttachLocation$$] = {HoldPattern[ RSNB`chooseAttachLocation$$[]] :> With[{RSNB`p$ = RSNB`mPosRegion$$[]}, Apply[Sequence, { RSNB`offsetPos$$[RSNB`p$], {-30, 30}, RSNB`attachPos$$[RSNB`p$]}]]}}}], BoxBaselineShift -> -0.5, BoxMargins -> 0.2]& )}], Cell[ StyleData["InlineMoreInfoOpenerButtonTemplate"], TemplateBoxOptions -> {DisplayFunction -> (AdjustmentBox[ DynamicModuleBox[{ RSNB`mPosRegion$$, RSNB`attachPos$$, RSNB`offsetPos$$, RSNB`horizontalRegion$$, RSNB`verticalRegion$$, RSNB`chooseAttachLocation$$}, TagBox[ TemplateBox[{ TemplateBox[{}, "MoreInfoOpenerIconTemplate"], #4}, "PrettyTooltipTemplate"], EventHandlerTag[{"MouseDown" :> AttachCell[ ParentBox[ EvaluationBox[]], #2, RSNB`chooseAttachLocation$$[], RemovalConditions -> {"EvaluatorQuit", "MouseClickOutside"}], Method -> "Preemptive", PassEventsDown -> Automatic, PassEventsUp -> True}]], DynamicModuleValues :> {{DownValues[RSNB`mPosRegion$$] = {HoldPattern[ RSNB`mPosRegion$$[]] :> RSNB`mPosRegion$$[ Ceiling[MousePosition["WindowScaled"] 3]], HoldPattern[ RSNB`mPosRegion$$[ Pattern[RSNB`reg, { Blank[Integer], Blank[Integer]}]]] :> RSNB`reg, HoldPattern[ RSNB`mPosRegion$$[ BlankNullSequence[]]] :> None}}, { DownValues[RSNB`attachPos$$] = {HoldPattern[ RSNB`attachPos$$[{ Pattern[RSNB`h$, Blank[Integer]], Pattern[RSNB`v$, Blank[Integer]]}]] :> { RSNB`horizontalRegion$$[RSNB`h$], RSNB`verticalRegion$$[RSNB`v$]}}}, { DownValues[RSNB`offsetPos$$] = {HoldPattern[ RSNB`offsetPos$$[{ Pattern[RSNB`h$, Blank[Integer]], Pattern[RSNB`v$, Blank[Integer]]}]] :> { RSNB`horizontalRegion$$[4 - RSNB`h$], RSNB`verticalRegion$$[4 - RSNB`v$]}}}, { DownValues[RSNB`horizontalRegion$$] = {HoldPattern[ RSNB`horizontalRegion$$[1]] :> Left, HoldPattern[ RSNB`horizontalRegion$$[2]] :> Center, HoldPattern[ RSNB`horizontalRegion$$[3]] :> Right}}, { DownValues[RSNB`verticalRegion$$] = {HoldPattern[ RSNB`verticalRegion$$[1]] :> Top, HoldPattern[ RSNB`verticalRegion$$[2]] :> Top, HoldPattern[ RSNB`verticalRegion$$[3]] :> Top}}, { DownValues[RSNB`chooseAttachLocation$$] = {HoldPattern[ RSNB`chooseAttachLocation$$[]] :> With[{RSNB`p$ = RSNB`mPosRegion$$[]}, Apply[Sequence, { RSNB`offsetPos$$[RSNB`p$], {-30, 30}, RSNB`attachPos$$[RSNB`p$]}]]}}}], BoxBaselineShift -> -0.5, BoxMargins -> 0.2]& )}], Cell[ StyleData["ClickToCopyTemplate"], TemplateBoxOptions -> { DisplayFunction -> (PaneSelectorBox[{False -> TagBox[ GridBox[{{#, ButtonBox[ GraphicsBox[{ GrayLevel[0.85], Thickness[ NCache[2/45, 0.044444444444444446`]], FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}}, {{{10.5, 18.75}, {10.5, 18.}, { 9., 18.}, {9., 15.75}, {13.5, 15.75}, {13.5, 18.}, {12., 18.}, {12., 18.75}}, {{6., 18.}, {6., 4.5}, {16.5, 4.5}, { 16.5, 18.}, {14.25, 18.}, {14.25, 17.25}, {15.75, 17.25}, { 15.75, 5.25}, {6.75, 5.25}, {6.75, 17.25}, {8.25, 17.25}, { 8.25, 18.}}, {{9.75, 17.25}, {12.75, 17.25}, {12.75, 16.5}, {9.75, 16.5}}}], FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}}, {{{8.25, 14.25}, { 14.25, 14.25}, {14.25, 13.5}, {8.25, 13.5}}, {{8.25, 12.}, { 14.25, 12.}, {14.25, 11.25}, {8.25, 11.25}}, {{8.25, 9.75}, {14.25, 9.75}, {14.25, 9.}, {8.25, 9.}}, {{8.25, 7.5}, {14.25, 7.5}, {14.25, 6.75}, {8.25, 6.75}}}]}, ImageSize -> 12], ButtonFunction :> Null, Appearance -> { "Default" -> None, "Hover" -> None, "Pressed" -> None}, Evaluator -> Automatic, Method -> "Preemptive"]}}, GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Center}}}, AutoDelete -> False, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings -> {"Columns" -> {{0.4}}}], "Grid"], True -> DynamicModuleBox[{RSNB`clickTime$$ = 0., RSNB`timeout$$ = 3.}, TagBox[ GridBox[{{#, TagBox[ ButtonBox[ DynamicBox[ ToBoxes[ Refresh[ If[AbsoluteTime[] - RSNB`clickTime$$ > RSNB`timeout$$, RawBoxes[ TemplateBox[{ PaneSelectorBox[{False -> GraphicsBox[{ GrayLevel[0.65], Thickness[ NCache[2/45, 0.044444444444444446`]], FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}}, {{{10.5, 18.75}, {10.5, 18.}, {9., 18.}, {9., 15.75}, {13.5, 15.75}, {13.5, 18.}, {12., 18.}, {12., 18.75}}, {{6., 18.}, {6., 4.5}, { 16.5, 4.5}, {16.5, 18.}, {14.25, 18.}, {14.25, 17.25}, { 15.75, 17.25}, {15.75, 5.25}, {6.75, 5.25}, {6.75, 17.25}, {8.25, 17.25}, {8.25, 18.}}, {{9.75, 17.25}, { 12.75, 17.25}, {12.75, 16.5}, {9.75, 16.5}}}], FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}}, {{{8.25, 14.25}, {14.25, 14.25}, {14.25, 13.5}, {8.25, 13.5}}, {{ 8.25, 12.}, {14.25, 12.}, {14.25, 11.25}, {8.25, 11.25}}, {{8.25, 9.75}, {14.25, 9.75}, {14.25, 9.}, {8.25, 9.}}, {{8.25, 7.5}, {14.25, 7.5}, {14.25, 6.75}, {8.25, 6.75}}}]}, ImageSize -> 12], True -> GraphicsBox[{ RGBColor[0.988235, 0.419608, 0.203922], Thickness[ NCache[2/45, 0.044444444444444446`]], FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}}, {{{10.5, 18.75}, {10.5, 18.}, {9., 18.}, {9., 15.75}, {13.5, 15.75}, {13.5, 18.}, {12., 18.}, {12., 18.75}}, {{6., 18.}, {6., 4.5}, { 16.5, 4.5}, {16.5, 18.}, {14.25, 18.}, {14.25, 17.25}, { 15.75, 17.25}, {15.75, 5.25}, {6.75, 5.25}, {6.75, 17.25}, {8.25, 17.25}, {8.25, 18.}}, {{9.75, 17.25}, { 12.75, 17.25}, {12.75, 16.5}, {9.75, 16.5}}}], FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}}, {{{8.25, 14.25}, {14.25, 14.25}, {14.25, 13.5}, {8.25, 13.5}}, {{ 8.25, 12.}, {14.25, 12.}, {14.25, 11.25}, {8.25, 11.25}}, {{8.25, 9.75}, {14.25, 9.75}, {14.25, 9.}, {8.25, 9.}}, {{8.25, 7.5}, {14.25, 7.5}, {14.25, 6.75}, {8.25, 6.75}}}]}, ImageSize -> 12]}, Dynamic[ CurrentValue["MouseOver"]], ImageSize -> Automatic, FrameMargins -> 0], "\"Click to copy to the clipboard\""}, "PrettyTooltipTemplate"]], RawBoxes[ TemplateBox[{ GraphicsBox[{ RGBColor[0, NCache[2/3, 0.6666666666666666], 0], Thickness[ NCache[2/45, 0.044444444444444446`]], FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}}, {{{10.5, 18.75}, {10.5, 18.}, {9., 18.}, {9., 15.75}, {13.5, 15.75}, {13.5, 18.}, {12., 18.}, {12., 18.75}}, {{6., 18.}, {6., 4.5}, { 16.5, 4.5}, {16.5, 18.}, {14.25, 18.}, {14.25, 17.25}, { 15.75, 17.25}, {15.75, 5.25}, {6.75, 5.25}, {6.75, 17.25}, {8.25, 17.25}, {8.25, 18.}}, {{9.75, 17.25}, { 12.75, 17.25}, {12.75, 16.5}, {9.75, 16.5}}}], FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}}, {{{8.25, 14.25}, {14.25, 14.25}, {14.25, 13.5}, {8.25, 13.5}}, {{ 8.25, 12.}, {14.25, 12.}, {14.25, 11.25}, {8.25, 11.25}}, {{8.25, 9.75}, {14.25, 9.75}, {14.25, 9.}, {8.25, 9.}}, {{8.25, 7.5}, {14.25, 7.5}, {14.25, 6.75}, {8.25, 6.75}}}]}, ImageSize -> 12], "\"Copied\""}, "PrettyTooltipTemplate"]]], UpdateInterval -> 1, TrackedSymbols :> {RSNB`clickTime$$}], StandardForm], Evaluator -> "System"], ButtonFunction :> (RSNB`clickTime$$ = AbsoluteTime[]; CopyToClipboard[ BinaryDeserialize[ BaseDecode[#2], Defer]]), Appearance -> { "Default" -> None, "Hover" -> None, "Pressed" -> None}, Method -> "Queued", Evaluator -> "System"], MouseAppearanceTag["LinkHand"]]}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Center}}}, AutoDelete -> False, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings -> {"Columns" -> {{0.4}}}], "Grid"], DynamicModuleValues :> {}]}, Dynamic[ CurrentValue["MouseOver"]], ImageSize -> Automatic, FrameMargins -> 0]& )}], Cell[ StyleData["PrettyTooltipTemplate"], TemplateBoxOptions -> {DisplayFunction -> (TagBox[ TooltipBox[#, FrameBox[ StyleBox[#2, "Text", FontColor -> RGBColor[0.537255, 0.537255, 0.537255], FontSize -> 12, FontWeight -> "Plain", FontTracking -> "Plain", StripOnInput -> False], Background -> RGBColor[0.960784, 0.960784, 0.960784], FrameStyle -> RGBColor[0.898039, 0.898039, 0.898039], FrameMargins -> 8, StripOnInput -> False], TooltipDelay -> 0.1, TooltipStyle -> {Background -> None, CellFrame -> 0}], Annotation[#, Framed[ Style[ RSNB`$$tooltip, "Text", FontColor -> RGBColor[0.537255, 0.537255, 0.537255], FontSize -> 12, FontWeight -> "Plain", FontTracking -> "Plain"], Background -> RGBColor[0.960784, 0.960784, 0.960784], FrameStyle -> RGBColor[0.898039, 0.898039, 0.898039], FrameMargins -> 8], "Tooltip"]& ]& )}], Cell[ StyleData["ToolsGridTemplate"], TemplateBoxOptions -> {DisplayFunction -> (StyleBox[ TagBox[ GridBox[{{ FrameBox[ ButtonBox[ TemplateBox[{ StyleBox[ "\"Template Input\"", "Text", FontFamily -> "Source Sans Pro", FontSize -> 11, StripOnInput -> False], "\"Format selection automatically using appropriate \ documentation styles\""}, "PrettyTooltipTemplate"], ButtonFunction :> With[{RSNB`nb$ = ButtonNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 2790153672590285854; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ DefinitionNotebookClient`$ClickedButton = "Template Input"; DefinitionNotebookClient`TemplateInput[]]]], DefinitionNotebookClient`ButtonCodeID[ 2790153672590285854]], DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]], FrameMargins -> {{4, 4}, {0, 0}}, BaseStyle -> Dynamic[ FEPrivate`If[ CurrentValue[Enabled], FEPrivate`If[ CurrentValue["MouseOver"], { FontColor -> GrayLevel[1], TaggingRules -> {"ButtonHovering" -> True}}, { FontColor -> RGBColor[0.8274509803921568, 0.20784313725490197`, 0.], TaggingRules -> {"ButtonHovering" -> False}}], { FontColor -> RGBColor[0.9568627450980391, 0.8019607843137255, 0.75], TaggingRules -> {"ButtonHovering" -> False}}], Evaluator -> "System"], Appearance -> {"Default" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6GPL5w6v66uRAEZJNqyN3J1VfdxC6bMiAjoAhQ nBhDHh3dfT3JGqLrhpfUgwJvCAKyIYJAWaAaPIYAZSEqbwapfjq8GS38gSJA cYgCZHPQDIG44XaU3r9fP7HGI1AcKAtxD1ZDgP6FuAGXCXBzIO6Bhw+yIZCQ xPQFJgCqgYQzRCMkNUJiExKSBE2AAEg4Q+KdAQwoN4QqLvlPvTChVuxQJZ1Q K8VSJe/AAYW5GBlQWJ6QBKhoCH5ATGkPANqBKWU= "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True], "Hover" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6G3Dt/+uKq+RAEZJNqyIn+urW20su12ZARUAQo Towhtw7v2RZtD9G1wYjrgK0wBAHZEEGgLFANHkOAshCVW0x5H0eo/8k2QUZA EaA4RAGyOWiGQNyw3ZzvV6YxmgkQBBQHykLcg9UQoH8hbsBlAtwciHvg4YNs CCQkMX2BiYBqIOEM0QhJjZDYhIQkQRMgCBLOkHhnAAPKDaGKS6gYJtSKHaqk E2qlWKrkHTigMBcjAwrLE5IAFQ3BD4gp7QGdXXDI "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True], "Pressed" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6GvHjx4i0MANmkGvLx48c/f/6g+RooAhQnxpBX r179+PEDIv771dNPR7ZAEJANEQTKAtXgMQQoCxH5+ejWg0Kfy6YMyAgoAhSH KEA2B80QiBu+3754xYoNzQQIAooDZSHuwWoI0L8QN+AyAW4OxD3w8EE2BBKS mL7AREA1kHCGaISkRkhsQkKSoAkQBAlnSLwzgAHlhlDFJVQME2rFDlXSCbVS LFXyDhxQmIuRAYXlCUmAiobgB8SU9gD80e8B "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True]}, Background -> GrayLevel[0.9], Method -> "Queued", ImageSize -> {All, 20}, Evaluator -> Automatic], FrameStyle -> Directive[ GrayLevel[0.9], AbsoluteThickness[2]], FrameMargins -> -1, ContentPadding -> False, StripOnInput -> False], FrameBox[ ButtonBox[ TemplateBox[{ StyleBox[ "\"Literal Input\"", "Text", FontFamily -> "Source Sans Pro", FontSize -> 11, StripOnInput -> False], "\"Format selection as literal Wolfram Language code\""}, "PrettyTooltipTemplate"], ButtonFunction :> With[{RSNB`nb$ = ButtonNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 4138174468017918531; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ DefinitionNotebookClient`$ClickedButton = "Literal Input"; DefinitionNotebookClient`LiteralInput[]]]], DefinitionNotebookClient`ButtonCodeID[ 4138174468017918531]], DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]], FrameMargins -> {{4, 4}, {0, 0}}, BaseStyle -> Dynamic[ FEPrivate`If[ CurrentValue[Enabled], FEPrivate`If[ CurrentValue["MouseOver"], { FontColor -> GrayLevel[1], TaggingRules -> {"ButtonHovering" -> True}}, { FontColor -> RGBColor[0.8274509803921568, 0.20784313725490197`, 0.], TaggingRules -> {"ButtonHovering" -> False}}], { FontColor -> RGBColor[0.9568627450980391, 0.8019607843137255, 0.75], TaggingRules -> {"ButtonHovering" -> False}}], Evaluator -> "System"], Appearance -> {"Default" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6GPL5w6v66uRAEZJNqyN3J1VfdxC6bMiAjoAhQ nBhDHh3dfT3JGqLrhpfUgwJvCAKyIYJAWaAaPIYAZSEqbwapfjq8GS38gSJA cYgCZHPQDIG44XaU3r9fP7HGI1AcKAtxD1ZDgP6FuAGXCXBzIO6Bhw+yIZCQ xPQFJgCqgYQzRCMkNUJiExKSBE2AAEg4Q+KdAQwoN4QqLvlPvTChVuxQJZ1Q K8VSJe/AAYW5GBlQWJ6QBKhoCH5ATGkPANqBKWU= "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True], "Hover" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6G3Dt/+uKq+RAEZJNqyIn+urW20su12ZARUAQo Towhtw7v2RZtD9G1wYjrgK0wBAHZEEGgLFANHkOAshCVW0x5H0eo/8k2QUZA EaA4RAGyOWiGQNyw3ZzvV6YxmgkQBBQHykLcg9UQoH8hbsBlAtwciHvg4YNs CCQkMX2BiYBqIOEM0QhJjZDYhIQkQRMgCBLOkHhnAAPKDaGKS6gYJtSKHaqk E2qlWKrkHTigMBcjAwrLE5IAFQ3BD4gp7QGdXXDI "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True], "Pressed" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6GvHjx4i0MANmkGvLx48c/f/6g+RooAhQnxpBX r179+PEDIv771dNPR7ZAEJANEQTKAtXgMQQoCxH5+ejWg0Kfy6YMyAgoAhSH KEA2B80QiBu+3754xYoNzQQIAooDZSHuwWoI0L8QN+AyAW4OxD3w8EE2BBKS mL7AREA1kHCGaISkRkhsQkKSoAkQBAlnSLwzgAHlhlDFJVQME2rFDlXSCbVS LFXyDhxQmIuRAYXlCUmAiobgB8SU9gD80e8B "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True]}, Background -> GrayLevel[0.9], Method -> "Queued", ImageSize -> {All, 20}, Evaluator -> Automatic], FrameStyle -> Directive[ GrayLevel[0.9], AbsoluteThickness[2]], FrameMargins -> -1, ContentPadding -> False, StripOnInput -> False], FrameBox[ ButtonBox[ TemplateBox[{ StyleBox[ "\"Insert Delimiter\"", "Text", FontFamily -> "Source Sans Pro", FontSize -> 11, StripOnInput -> False], "\"Insert example delimiter\""}, "PrettyTooltipTemplate"], ButtonFunction :> With[{RSNB`nb$ = ButtonNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 1887802176716758884; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ DefinitionNotebookClient`$ClickedButton = "Insert Delimiter"; DefinitionNotebookClient`DelimiterInsert[]]]], DefinitionNotebookClient`ButtonCodeID[ 1887802176716758884]], DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]], FrameMargins -> {{4, 4}, {0, 0}}, BaseStyle -> Dynamic[ FEPrivate`If[ CurrentValue[Enabled], FEPrivate`If[ CurrentValue["MouseOver"], { FontColor -> GrayLevel[1], TaggingRules -> {"ButtonHovering" -> True}}, { FontColor -> RGBColor[0.8274509803921568, 0.20784313725490197`, 0.], TaggingRules -> {"ButtonHovering" -> False}}], { FontColor -> RGBColor[0.9568627450980391, 0.8019607843137255, 0.75], TaggingRules -> {"ButtonHovering" -> False}}], Evaluator -> "System"], Appearance -> {"Default" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6GPL5w6v66uRAEZJNqyN3J1VfdxC6bMiAjoAhQ nBhDHh3dfT3JGqLrhpfUgwJvCAKyIYJAWaAaPIYAZSEqbwapfjq8GS38gSJA cYgCZHPQDIG44XaU3r9fP7HGI1AcKAtxD1ZDgP6FuAGXCXBzIO6Bhw+yIZCQ xPQFJgCqgYQzRCMkNUJiExKSBE2AAEg4Q+KdAQwoN4QqLvlPvTChVuxQJZ1Q K8VSJe/AAYW5GBlQWJ6QBKhoCH5ATGkPANqBKWU= "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True], "Hover" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6G3Dt/+uKq+RAEZJNqyIn+urW20su12ZARUAQo Towhtw7v2RZtD9G1wYjrgK0wBAHZEEGgLFANHkOAshCVW0x5H0eo/8k2QUZA EaA4RAGyOWiGQNyw3ZzvV6YxmgkQBBQHykLcg9UQoH8hbsBlAtwciHvg4YNs CCQkMX2BiYBqIOEM0QhJjZDYhIQkQRMgCBLOkHhnAAPKDaGKS6gYJtSKHaqk E2qlWKrkHTigMBcjAwrLE5IAFQ3BD4gp7QGdXXDI "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True], "Pressed" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6GvHjx4i0MANmkGvLx48c/f/6g+RooAhQnxpBX r179+PEDIv771dNPR7ZAEJANEQTKAtXgMQQoCxH5+ejWg0Kfy6YMyAgoAhSH KEA2B80QiBu+3754xYoNzQQIAooDZSHuwWoI0L8QN+AyAW4OxD3w8EE2BBKS mL7AREA1kHCGaISkRkhsQkKSoAkQBAlnSLwzgAHlhlDFJVQME2rFDlXSCbVS LFXyDhxQmIuRAYXlCUmAiobgB8SU9gD80e8B "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True]}, Background -> GrayLevel[0.9], Method -> "Queued", ImageSize -> {All, 20}, Evaluator -> Automatic], FrameStyle -> Directive[ GrayLevel[0.9], AbsoluteThickness[2]], FrameMargins -> -1, ContentPadding -> False, StripOnInput -> False], FrameBox[ ButtonBox[ TemplateBox[{ StyleBox[ "\"Subscripted Variable\"", "Text", FontFamily -> "Source Sans Pro", FontSize -> 11, StripOnInput -> False], "\"Insert subscripted variable placeholder\""}, "PrettyTooltipTemplate"], ButtonFunction :> With[{RSNB`nb$ = ButtonNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 3787878858871814623; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ DefinitionNotebookClient`$ClickedButton = "Subscripted Variable"; DefinitionNotebookClient`SubscriptInsert[]]]], DefinitionNotebookClient`ButtonCodeID[ 3787878858871814623]], DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]], FrameMargins -> {{4, 4}, {0, 0}}, BaseStyle -> Dynamic[ FEPrivate`If[ CurrentValue[Enabled], FEPrivate`If[ CurrentValue["MouseOver"], { FontColor -> GrayLevel[1], TaggingRules -> {"ButtonHovering" -> True}}, { FontColor -> RGBColor[0.8274509803921568, 0.20784313725490197`, 0.], TaggingRules -> {"ButtonHovering" -> False}}], { FontColor -> RGBColor[0.9568627450980391, 0.8019607843137255, 0.75], TaggingRules -> {"ButtonHovering" -> False}}], Evaluator -> "System"], Appearance -> {"Default" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6GPL5w6v66uRAEZJNqyN3J1VfdxC6bMiAjoAhQ nBhDHh3dfT3JGqLrhpfUgwJvCAKyIYJAWaAaPIYAZSEqbwapfjq8GS38gSJA cYgCZHPQDIG44XaU3r9fP7HGI1AcKAtxD1ZDgP6FuAGXCXBzIO6Bhw+yIZCQ xPQFJgCqgYQzRCMkNUJiExKSBE2AAEg4Q+KdAQwoN4QqLvlPvTChVuxQJZ1Q K8VSJe/AAYW5GBlQWJ6QBKhoCH5ATGkPANqBKWU= "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True], "Hover" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6G3Dt/+uKq+RAEZJNqyIn+urW20su12ZARUAQo Towhtw7v2RZtD9G1wYjrgK0wBAHZEEGgLFANHkOAshCVW0x5H0eo/8k2QUZA EaA4RAGyOWiGQNyw3ZzvV6YxmgkQBBQHykLcg9UQoH8hbsBlAtwciHvg4YNs CCQkMX2BiYBqIOEM0QhJjZDYhIQkQRMgCBLOkHhnAAPKDaGKS6gYJtSKHaqk E2qlWKrkHTigMBcjAwrLE5IAFQ3BD4gp7QGdXXDI "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True], "Pressed" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6GvHjx4i0MANmkGvLx48c/f/6g+RooAhQnxpBX r179+PEDIv771dNPR7ZAEJANEQTKAtXgMQQoCxH5+ejWg0Kfy6YMyAgoAhSH KEA2B80QiBu+3754xYoNzQQIAooDZSHuwWoI0L8QN+AyAW4OxD3w8EE2BBKS mL7AREA1kHCGaISkRkhsQkKSoAkQBAlnSLwzgAHlhlDFJVQME2rFDlXSCbVS LFXyDhxQmIuRAYXlCUmAiobgB8SU9gD80e8B "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True]}, Background -> GrayLevel[0.9], Method -> "Queued", ImageSize -> {All, 20}, Evaluator -> Automatic], FrameStyle -> Directive[ GrayLevel[0.9], AbsoluteThickness[2]], FrameMargins -> -1, ContentPadding -> False, StripOnInput -> False], ActionMenuBox[ FrameBox[ ButtonBox[ TemplateBox[{ StyleBox[ TemplateBox[{ "\"Tables\"", "\"\[ThinSpace]\[ThinSpace]\[ThinSpace]\ \[FilledDownTriangle]\""}, "RowDefault"], "Text", FontFamily -> "Source Sans Pro", FontSize -> 11, StripOnInput -> False], "\"Table functions\""}, "PrettyTooltipTemplate"], ButtonFunction :> With[{RSNB`nb$ = ButtonNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 3216557251994556740; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[Null]]], DefinitionNotebookClient`ButtonCodeID[ 3216557251994556740]], DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]], FrameMargins -> {{4, 4}, {0, 0}}, BaseStyle -> Dynamic[ FEPrivate`If[ CurrentValue[Enabled], FEPrivate`If[ CurrentValue["MouseOver"], { FontColor -> GrayLevel[1], TaggingRules -> {"ButtonHovering" -> True}}, { FontColor -> RGBColor[0.8274509803921568, 0.20784313725490197`, 0.], TaggingRules -> {"ButtonHovering" -> False}}], { FontColor -> RGBColor[0.9568627450980391, 0.8019607843137255, 0.75], TaggingRules -> {"ButtonHovering" -> False}}], Evaluator -> "System"], Appearance -> {"Default" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6GPL5w6v66uRAEZJNqyN3J1VfdxC6bMiAjoAhQ nBhDHh3dfT3JGqLrhpfUgwJvCAKyIYJAWaAaPIYAZSEqbwapfjq8GS38gSJA cYgCZHPQDIG44XaU3r9fP7HGI1AcKAtxD1ZDgP6FuAGXCXBzIO6Bhw+yIZCQ xPQFJgCqgYQzRCMkNUJiExKSBE2AAEg4Q+KdAQwoN4QqLvlPvTChVuxQJZ1Q K8VSJe/AAYW5GBlQWJ6QBKhoCH5ATGkPANqBKWU= "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True], "Hover" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6G3Dt/+uKq+RAEZJNqyIn+urW20su12ZARUAQo Towhtw7v2RZtD9G1wYjrgK0wBAHZEEGgLFANHkOAshCVW0x5H0eo/8k2QUZA EaA4RAGyOWiGQNyw3ZzvV6YxmgkQBBQHykLcg9UQoH8hbsBlAtwciHvg4YNs CCQkMX2BiYBqIOEM0QhJjZDYhIQkQRMgCBLOkHhnAAPKDaGKS6gYJtSKHaqk E2qlWKrkHTigMBcjAwrLE5IAFQ3BD4gp7QGdXXDI "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True], "Pressed" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6GvHjx4i0MANmkGvLx48c/f/6g+RooAhQnxpBX r179+PEDIv771dNPR7ZAEJANEQTKAtXgMQQoCxH5+ejWg0Kfy6YMyAgoAhSH KEA2B80QiBu+3754xYoNzQQIAooDZSHuwWoI0L8QN+AyAW4OxD3w8EE2BBKS mL7AREA1kHCGaISkRkhsQkKSoAkQBAlnSLwzgAHlhlDFJVQME2rFDlXSCbVS LFXyDhxQmIuRAYXlCUmAiobgB8SU9gD80e8B "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True]}, Background -> GrayLevel[0.9], Method -> "Queued", ImageSize -> {All, 20}, Evaluator -> Automatic], FrameStyle -> Directive[ GrayLevel[0.9], AbsoluteThickness[2]], FrameMargins -> -1, ContentPadding -> False, StripOnInput -> False], { "\"Insert table with two columns\"" :> With[{RSNB`nb$ = InputNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 5800166344906378520; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ DefinitionNotebookClient`$ClickedButton = "Tables"; DefinitionNotebookClient`$ClickedAction = "Insert table with two columns"; DefinitionNotebookClient`TableInsert[2]]]], DefinitionNotebookClient`ButtonCodeID[ 5800166344906378520]], DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]], "\"Insert table with three columns\"" :> With[{RSNB`nb$ = InputNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 533841403879783297; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ DefinitionNotebookClient`$ClickedButton = "Tables"; DefinitionNotebookClient`$ClickedAction = "Insert table with three columns"; DefinitionNotebookClient`TableInsert[3]]]], DefinitionNotebookClient`ButtonCodeID[ 533841403879783297]], DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]], "\"Add a row to the selected table\"" :> With[{RSNB`nb$ = InputNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 4413051590217973467; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ DefinitionNotebookClient`$ClickedButton = "Tables"; DefinitionNotebookClient`$ClickedAction = "Add a row to the selected table"; DefinitionNotebookClient`TableRowInsert[]]]], DefinitionNotebookClient`ButtonCodeID[ 4413051590217973467]], DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]], "\"Sort the selected table\"" :> With[{RSNB`nb$ = InputNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 9150037060110806081; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ DefinitionNotebookClient`$ClickedButton = "Tables"; DefinitionNotebookClient`$ClickedAction = "Sort the selected table"; DefinitionNotebookClient`TableSort[]]]], DefinitionNotebookClient`ButtonCodeID[ 9150037060110806081]], DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]], "\"Merge selected tables\"" :> With[{RSNB`nb$ = InputNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 2347719643166780208; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ DefinitionNotebookClient`$ClickedButton = "Tables"; DefinitionNotebookClient`$ClickedAction = "Merge selected tables"; DefinitionNotebookClient`TableMerge[]]]], DefinitionNotebookClient`ButtonCodeID[ 2347719643166780208]], DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]]}, Appearance -> None, Method -> "Queued"], ActionMenuBox[ FrameBox[ ButtonBox[ StyleBox[ TemplateBox[{ "\"Cells\"", "\"\[ThinSpace]\[ThinSpace]\[ThinSpace]\[FilledDownTriangle]\ \""}, "RowDefault"], "Text", FontFamily -> "Source Sans Pro", FontSize -> 11, StripOnInput -> False], ButtonFunction :> With[{RSNB`nb$ = ButtonNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 3216557251994556740; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[Null]]], DefinitionNotebookClient`ButtonCodeID[ 3216557251994556740]], DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]], FrameMargins -> {{4, 4}, {0, 0}}, BaseStyle -> Dynamic[ FEPrivate`If[ CurrentValue[Enabled], FEPrivate`If[ CurrentValue["MouseOver"], { FontColor -> GrayLevel[1], TaggingRules -> {"ButtonHovering" -> True}}, { FontColor -> RGBColor[0.8274509803921568, 0.20784313725490197`, 0.], TaggingRules -> {"ButtonHovering" -> False}}], { FontColor -> RGBColor[0.9568627450980391, 0.8019607843137255, 0.75], TaggingRules -> {"ButtonHovering" -> False}}], Evaluator -> "System"], Appearance -> {"Default" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6GPL5w6v66uRAEZJNqyN3J1VfdxC6bMiAjoAhQ nBhDHh3dfT3JGqLrhpfUgwJvCAKyIYJAWaAaPIYAZSEqbwapfjq8GS38gSJA cYgCZHPQDIG44XaU3r9fP7HGI1AcKAtxD1ZDgP6FuAGXCXBzIO6Bhw+yIZCQ xPQFJgCqgYQzRCMkNUJiExKSBE2AAEg4Q+KdAQwoN4QqLvlPvTChVuxQJZ1Q K8VSJe/AAYW5GBlQWJ6QBKhoCH5ATGkPANqBKWU= "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True], "Hover" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6G3Dt/+uKq+RAEZJNqyIn+urW20su12ZARUAQo Towhtw7v2RZtD9G1wYjrgK0wBAHZEEGgLFANHkOAshCVW0x5H0eo/8k2QUZA EaA4RAGyOWiGQNyw3ZzvV6YxmgkQBBQHykLcg9UQoH8hbsBlAtwciHvg4YNs CCQkMX2BiYBqIOEM0QhJjZDYhIQkQRMgCBLOkHhnAAPKDaGKS6gYJtSKHaqk E2qlWKrkHTigMBcjAwrLE5IAFQ3BD4gp7QGdXXDI "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True], "Pressed" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4CllgA6GvHjx4i0MANmkGvLx48c/f/6g+RooAhQnxpBX r179+PEDIv771dNPR7ZAEJANEQTKAtXgMQQoCxH5+ejWg0Kfy6YMyAgoAhSH KEA2B80QiBu+3754xYoNzQQIAooDZSHuwWoI0L8QN+AyAW4OxD3w8EE2BBKS mL7AREA1kHCGaISkRkhsQkKSoAkQBAlnSLwzgAHlhlDFJVQME2rFDlXSCbVS LFXyDhxQmIuRAYXlCUmAiobgB8SU9gD80e8B "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True]}, Background -> GrayLevel[0.9], Method -> "Queued", ImageSize -> {All, 20}, Evaluator -> Automatic], FrameStyle -> Directive[ GrayLevel[0.9], AbsoluteThickness[2]], FrameMargins -> -1, ContentPadding -> False, StripOnInput -> False], { "\"Insert comment for reviewer\"" :> With[{RSNB`nb$ = InputNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 2572781756330727330; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ DefinitionNotebookClient`$ClickedButton = "Cells"; DefinitionNotebookClient`$ClickedAction = "Insert comment for reviewer"; DefinitionNotebookClient`CommentInsert[]]]], DefinitionNotebookClient`ButtonCodeID[ 2572781756330727330]], DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]], "\"Mark/unmark selected cells as comments\"" :> With[{RSNB`nb$ = InputNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 3646530685697756512; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ DefinitionNotebookClient`$ClickedButton = "Cells"; DefinitionNotebookClient`$ClickedAction = "Mark/unmark selected cells as comments"; DefinitionNotebookClient`CommentToggle[]]]], DefinitionNotebookClient`ButtonCodeID[ 3646530685697756512]], DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]], "\"Mark/unmark selected cells as excluded\"" :> With[{RSNB`nb$ = InputNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 1866935765212102190; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ DefinitionNotebookClient`$ClickedButton = "Cells"; DefinitionNotebookClient`$ClickedAction = "Mark/unmark selected cells as excluded"; DefinitionNotebookClient`ExclusionToggle[]]]], DefinitionNotebookClient`ButtonCodeID[ 1866935765212102190]], DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]]}, Appearance -> None, Method -> "Queued"]}}, GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Center}}}, AutoDelete -> False, GridBoxBackground -> {"Columns" -> {{None}}, "Rows" -> { GrayLevel[0.9]}}, GridBoxFrame -> { "Columns" -> False, "RowsIndexed" -> {1 -> GrayLevel[0.9]}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings -> { "Columns" -> {5, {0.5}, 5}, "Rows" -> {{Automatic}}}, FrameStyle -> GrayLevel[0.75]], "Grid"], ButtonBoxOptions -> {Enabled -> Dynamic[ Not[ TrueQ[DefinitionNotebookClient`$ButtonsDisabled]], TrackedSymbols :> {DefinitionNotebookClient`$ButtonsDisabled}]}, StripOnInput -> False]& )}], Cell[ StyleData["MainGridTemplate"], TemplateBoxOptions -> {DisplayFunction -> (StyleBox[ TagBox[ GridBox[{{ TagBox[ GridBox[{{ GraphicsBox[{ Thickness[0.022222222222222223`], { FaceForm[{ RGBColor[0.87451, 0.278431, 0.03137260000000001], Opacity[1.]}], FilledCurveBox[{{{1, 4, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}}}, {{{45., 22.5}, {45., 10.073999999999998`}, {34.926, 0.}, {22.5, 0.}, {10.074, 0.}, {0., 10.073999999999998`}, {0., 22.5}, {0., 34.926}, {10.074, 45.}, {22.5, 45.}, {34.926, 45.}, {45., 34.926}, {45., 22.5}}}]}, { FaceForm[{ RGBColor[1., 1., 1.], Opacity[1.]}], FilledCurveBox[{{{0, 2, 0}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {0, 1, 0}, {0, 1, 0}, {1, 3, 3}, {0, 1, 0}, {0, 1, 0}, {1, 3, 3}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {1, 3, 3}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {1, 3, 3}, {0, 1, 0}, {1, 3, 3}, {0, 1, 0}}, {{0, 2, 0}, {1, 3, 3}, {0, 1, 0}, {1, 3, 3}, {0, 1, 0}, {1, 3, 3}, {0, 1, 0}, {1, 3, 3}}, {{0, 2, 0}, {1, 3, 3}, {0, 1, 0}, {1, 3, 3}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}}}, {CompressedData[" 1:eJxTTMoPSmViYGAwAWIQLcESxqe7SdlhqnN3zvPblg4w/omyffOl/K0cEp9e ULq9U9lhT8lkCZZrVg6VL9UMOd4oO1SLrHN/GGXtcKUCKOCh4sDDpN0udtPa 4fnvlR8v8ao6ZIE12ELMrVZzmAIymNfOAWj43PfpGg45YIV2Dguk9O+qsGlB 9M+0h9gjpgOxh8fBYePc98uPees5MICAggNE/TF9B6Bl574rO0DcMcsAwmd2 cNCM6T/0VcPQAeQsjh6oeWWGEPt97R3UDTnWyMwyhKh7Yefw5S/QB22GEHe1 2zlIg5yTaAh3by7InUKGDmBnLrR1cOkGudzAYZHrts9/Q2wdHi+dfUShwMBh Q1HGxLcytg5BO+RaXwsaQN1r6/BdA2jRVn1oeNk6aIEcWq4HcccvWwfTuF2e PEy6UPPtHIC+CH68VBvOP70QaNFeLTg/T6j5wKlELYdPl3yTBCLsIOGkowVx 71tbhycg93zQdAjonZ4ndNgGzgern2ENVw90TZVInhUkfqy1IO65ZQl3L4wP iW99B/NOx4SnEyzh4Q+W32XhcBUc0PoQd7dawM1D568H2cdnCOd/A9nzVc/h I9hdWg4ZoIg6oueQD/Kfoh40nSD4fkDfWpboQOw7oYDBh6mHxIcy3DxYek4A peOfCD7MPTA+zL0yUSnW9/sV4Hxw/DgpQOL7igUkfi8qwsMHAHSDTZ8= "], {{19.051000000000002`, 14.242}, {19.051000000000002`, 27.594}, {23.828, 27.594}, {23.828, 26.543}, {21.426, 26.308999999999997`}, {21.375, 26.258000000000003`}, { 21.375, 24.219}, {21.375, 17.535000000000004`}, {21.375, 15.602}, {21.426, 15.547}, {23.828, 15.315999999999999`}, {23.828, 14.242}}, {{24.578, 18.75}, {24.578, 23.078000000000003`}, {24.578, 23.539}, { 24.953, 23.914}, {25.418, 23.91}, {29.746, 23.91}, { 30.203, 23.91}, {30.578, 23.539}, {30.578, 23.078000000000003`}, {30.578, 18.75}, { 30.581999999999997`, 18.288999999999998`}, {30.207, 17.91}, {29.746, 17.91}, {25.418, 17.91}, {24.953, 17.906}, {24.574, 18.285}, {24.578, 18.75}}, {{31.328, 14.242}, {31.328, 15.315999999999999`}, {33.684, 15.539000000000001`}, {33.789, 15.602}, {33.789, 17.641}, {33.789, 24.188}, {33.789, 26.227}, {33.684, 26.281}, {31.328, 26.512000000000004`}, {31.328, 27.586}, {36.113, 27.586}, {36.113, 14.234000000000002`}}}]}}, { ImageSize -> {Automatic, 32}, ImagePadding -> {{5, 0}, {0, 0}}, BaselinePosition -> Scaled[0.25], AspectRatio -> Automatic, Background -> RGBColor[0.988235, 0.419608, 0.203922], ImageSize -> {45., 45.}, PlotRange -> {{0., 45.}, {0., 45.}}}], StyleBox[ TagBox[ GridBox[{{ StyleBox[ "\"Function Resource\"", FontFamily -> "Source Sans Pro", FontWeight -> "SemiBold", StripOnInput -> False], StyleBox[ "\"DEFINITION NOTEBOOK\"", FontFamily -> "Source Sans Pro", FontTracking -> "SemiCondensed", FontVariations -> {"CapsType" -> "AllSmallCaps"}, StripOnInput -> False]}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Baseline}}}, AutoDelete -> False, GridBoxDividers -> { "ColumnsIndexed" -> {2 -> RGBColor[1., 1., 1.]}, "Rows" -> {{None}}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Grid"], FontSize -> 24, FontColor -> RGBColor[1., 1., 1.], StripOnInput -> False]}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Baseline}}}, AutoDelete -> False, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Grid"], "\[SpanFromLeft]", "\[SpanFromLeft]", "\[SpanFromLeft]", "\[SpanFromLeft]", "\[SpanFromLeft]", "\[SpanFromLeft]", "\[SpanFromLeft]", TemplateBox[{ StyleBox[ TemplateBox[{ "\"Function Repository\"", "\" \[RightGuillemet] \""}, "RowDefault"], "Text", FontColor -> RGBColor[1., 1., 1.], StripOnInput -> False], "https://resources.wolframcloud.com/FunctionRepository"}, "HyperlinkURL"]}, { TemplateBox[{ TemplateBox[{ "\"Open Sample\"", "\"View a completed sample definition notebook\""}, "PrettyTooltipTemplate"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 4393071033038384034; DefinitionNotebookClient`$ClickedButton = "Open Sample"; DefinitionNotebookClient`ViewExampleNotebook[ ButtonNotebook[]], DefinitionNotebookClient`ButtonCodeID[4393071033038384034]]& , "\"View a completed sample definition notebook\"", False}, "OrangeButtonTemplate"], TemplateBox[{ TemplateBox[{ "\"Style Guidelines\"", "\"View general guidelines for authoring resource \ functions\""}, "PrettyTooltipTemplate"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 5906117565281445171; DefinitionNotebookClient`$ClickedButton = "Style Guidelines"; DefinitionNotebookClient`ViewStyleGuidelines[ ButtonNotebook[]], DefinitionNotebookClient`ButtonCodeID[5906117565281445171]]& , "\"View general guidelines for authoring resource functions\"", False}, "OrangeButtonTemplate"], TemplateBox[{ TemplateBox[{ TagBox[ GridBox[{{"\"Tools\"", PaneSelectorBox[{False -> GraphicsBox[{ RGBColor[1., 1., 1.], AbsoluteThickness[1.], LineBox[{{0, 0}, {0, 10}, {10, 10}, {10, 0}, {0, 0}}], LineBox[{{5, 2.5}, {5, 7.5}}], LineBox[{{2.5, 5}, {7.5, 5}}]}, ImageSize -> 9, PlotRangePadding -> 1.5], True -> GraphicsBox[{ RGBColor[1., 1., 1.], AbsoluteThickness[1.], LineBox[{{0, 0}, {0, 10}, {10, 10}, {10, 0}, {0, 0}}], LineBox[{{2.5, 5}, {7.5, 5}}]}, ImageSize -> 9, PlotRangePadding -> 1.5]}, Dynamic[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "ToolsOpen"}, True]], BaselinePosition -> Scaled[0]]}}, GridBoxAlignment -> { "Columns" -> {{Automatic}}, "Rows" -> {{Baseline}}}, AutoDelete -> False, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings -> {"Columns" -> {{0.35}}}], "Grid"], "\"Toggle documentation toolbar\""}, "PrettyTooltipTemplate"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 5074018684552945401; DefinitionNotebookClient`$ClickedButton = "Tools"; DefinitionNotebookClient`ToggleToolbar[ ButtonNotebook[]], DefinitionNotebookClient`ButtonCodeID[5074018684552945401]]& , "\"Toggle documentation toolbar\"", False}, "OrangeButtonTemplate"], TagBox[ GridBox[{{"\"\"", "\"\""}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Center}}}, AutoDelete -> False, GridBoxDividers -> { "ColumnsIndexed" -> {2 -> True}, "Rows" -> {{False}}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{2}}}, GridBoxSpacings -> {"Columns" -> {{0.5}}}, FrameStyle -> RGBColor[0.994118, 0.709804, 0.601961]], "Grid"], TemplateBox[{ TemplateBox[{ "\"Check\"", "\"Check notebook for potential errors\""}, "PrettyTooltipTemplate"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 7891204313296928191; DefinitionNotebookClient`$ClickedButton = "Check"; DefinitionNotebookClient`CheckDefinitionNotebook[ ButtonNotebook[]], DefinitionNotebookClient`ButtonCodeID[7891204313296928191]]& , "\"Check notebook for potential errors\"", False}, "OrangeButtonTemplate"], TemplateBox[{ TemplateBox[{"\"Preview\"", "\"Generate a preview notebook\""}, "PrettyTooltipTemplate"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 4299709568580201021; DefinitionNotebookClient`$ClickedButton = "Preview"; DefinitionNotebookClient`PreviewResource[ ButtonNotebook[], "Notebook"], DefinitionNotebookClient`ButtonCodeID[4299709568580201021]]& , "\"Generate a preview notebook\"", True}, "OrangeButtonTemplate"], ActionMenuBox[ TemplateBox[{ TemplateBox[{"\"Deploy\"", TemplateBox[{5}, "Spacer1"], "\"\[FilledDownTriangle]\""}, "RowDefault"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 1898445052439169298; Null, DefinitionNotebookClient`ButtonCodeID[1898445052439169298]]& , "\"\"", True}, "OrangeButtonTemplate"], { "\"Locally on this computer\"" :> With[{RSNB`nb$ = InputNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$SuppressDynamicEvents = True, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; CurrentValue[RSNB`nb$, {TaggingRules, "StatusMessage"}] = ProgressIndicator[Appearance -> "Necklace"]; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 8714502586816766511; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ DefinitionNotebookClient`$ClickedButton = "Deploy"; DefinitionNotebookClient`$ClickedAction = "Locally on this computer"; DefinitionNotebookClient`DisplayStripe[ ButtonNotebook[], DefinitionNotebookClient`DeployResource[ ButtonNotebook[], "Local"]]]]], DefinitionNotebookClient`ButtonCodeID[ 8714502586816766511]], CurrentValue[RSNB`nb$, {TaggingRules, "StatusMessage"}] = ""; DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]], "\"For my cloud account\"" :> With[{RSNB`nb$ = InputNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$SuppressDynamicEvents = True, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; CurrentValue[RSNB`nb$, {TaggingRules, "StatusMessage"}] = ProgressIndicator[Appearance -> "Necklace"]; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 1389539917011878958; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ DefinitionNotebookClient`$ClickedButton = "Deploy"; DefinitionNotebookClient`$ClickedAction = "For my cloud account"; DefinitionNotebookClient`DisplayStripe[ ButtonNotebook[], DefinitionNotebookClient`DeployResource[ ButtonNotebook[], "CloudPrivate"]]]]], DefinitionNotebookClient`ButtonCodeID[ 1389539917011878958]], CurrentValue[RSNB`nb$, {TaggingRules, "StatusMessage"}] = ""; DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]], "\"Publicly in the cloud\"" :> With[{RSNB`nb$ = InputNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$SuppressDynamicEvents = True, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; CurrentValue[RSNB`nb$, {TaggingRules, "StatusMessage"}] = ProgressIndicator[Appearance -> "Necklace"]; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 5593410685219912767; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ DefinitionNotebookClient`$ClickedButton = "Deploy"; DefinitionNotebookClient`$ClickedAction = "Publicly in the cloud"; DefinitionNotebookClient`DisplayStripe[ ButtonNotebook[], DefinitionNotebookClient`DeployResource[ ButtonNotebook[], "CloudPublic"]]]]], DefinitionNotebookClient`ButtonCodeID[ 5593410685219912767]], CurrentValue[RSNB`nb$, {TaggingRules, "StatusMessage"}] = ""; DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]], "\"In this session only (without documentation)\"" :> With[{RSNB`nb$ = InputNotebook[], RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$\ AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$SuppressDynamicEvents = True, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; CurrentValue[RSNB`nb$, {TaggingRules, "StatusMessage"}] = ProgressIndicator[Appearance -> "Necklace"]; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 8586347731213964380; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ DefinitionNotebookClient`$ClickedButton = "Deploy"; DefinitionNotebookClient`$ClickedAction = "In this session only (without documentation)"; DefinitionNotebookClient`DisplayStripe[ ButtonNotebook[], DefinitionNotebookClient`DeployResource[ ButtonNotebook[], "KernelSession"]]]]], DefinitionNotebookClient`ButtonCodeID[ 8586347731213964380]], CurrentValue[RSNB`nb$, {TaggingRules, "StatusMessage"}] = ""; DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]]}, Appearance -> None, Method -> "Queued"], ItemBox[ StyleBox[ DynamicBox[ ToBoxes[ CurrentValue[ EvaluationNotebook[], {TaggingRules, "StatusMessage"}, ""], StandardForm], Initialization :> (CurrentValue[ EvaluationNotebook[], {TaggingRules, "StatusMessage"}] = "")], "Text", GrayLevel[1], StripOnInput -> False], ItemSize -> Fit, StripOnInput -> False], DynamicBox[ ToBoxes[ If[ CurrentValue[ EvaluationNotebook[], { TaggingRules, "SubmissionReviewData", "Review"}, False], RawBoxes[ TemplateBox[{ TemplateBox[{ TagBox[ GridBox[{{ GraphicsBox[{ Thickness[0.06349], StyleBox[{ FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}}, CompressedData[" 1:eJxTTMoPSmVmYGBgBWIWIGZigIEX9mCqQd8Bwv+Bnc/A54CiHs5HV6/ngJUP p2HmwdTp4FCHTvOhqYfZrw2lhdDk0fno6tHcD1PPwOSAnY+uns8BAE8cGz4= "]]}, { FaceForm[ RGBColor[1., 1., 1.]]}, StripOnInput -> False], StyleBox[{ FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}}, CompressedData[" 1:eJxTTMoPSmVmYGBgB2IWIGZigAEJBwjNB6EblHHwX9ijqofxoeoYhKC0Bg4+ Hw4apk4Uap8aDr4QDhqqDu4uVRx8URw0TJ001D5lHHwJHDRUHYMclFbCwZfG QUPVNSjgp+HmIWgAG/wcEg== "]], FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}}, CompressedData[" 1:eJx10EEKgCAQhWGpFtEyEAYGggQj6RKeoSMErbuCR0/IWfTgCcPwy7fR9XrO u3fOTXWGOp2zM+ZvH2170nv+e2sFH0ijt45/XxJp9NgRPHYAb63kHhu9tf2H eU8aPfbS9kxawAvxnrSCx3c3XzbS6JX4RFrAS34B53ckaw== "]]}, { FaceForm[ RGBColor[1., 1., 1.]]}, StripOnInput -> False]}, ImageSize -> 15, PlotRange -> {{0., 15.75}, {0., 16.5}}, AspectRatio -> 1.15], "\"Submit Update\""}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Center}}}, AutoDelete -> False, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings -> { "Columns" -> {{0}}, "ColumnsIndexed" -> {2 -> 0.5}, "Rows" -> {{0}}}], "Grid"], "\"Submit changes to update your resource submission\""}, "PrettyTooltipTemplate"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 3196298050911436087; DefinitionNotebookClient`$ClickedButton = "SubmitUpdate"; With[{RSNB`nb = ButtonNotebook[]}, DefinitionNotebookClient`DisplayStripe[RSNB`nb, DefinitionNotebookClient`SubmitRepositoryUpdate[RSNB`nb], "ShowProgress" -> True]], DefinitionNotebookClient`ButtonCodeID[ 3196298050911436087]]& , "\"Submit changes to update your resource submission\"", True}, "OrangeButtonTemplate"]], RawBoxes[ TemplateBox[{ TemplateBox[{ TagBox[ GridBox[{{ GraphicsBox[{ Thickness[0.06349], StyleBox[{ FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}}, CompressedData[" 1:eJxTTMoPSmVmYGBgBWIWIGZigIEX9mCqQd8Bwv+Bnc/A54CiHs5HV6/ngJUP p2HmwdTp4FCHTvOhqYfZrw2lhdDk0fno6tHcD1PPwOSAnY+uns8BAE8cGz4= "]]}, { FaceForm[ RGBColor[1., 1., 1.]]}, StripOnInput -> False], StyleBox[{ FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}}, CompressedData[" 1:eJxTTMoPSmVmYGBgB2IWIGZigAEJBwjNB6EblHHwX9ijqofxoeoYhKC0Bg4+ Hw4apk4Uap8aDr4QDhqqDu4uVRx8URw0TJ001D5lHHwJHDRUHYMclFbCwZfG QUPVNSjgp+HmIWgAG/wcEg== "]], FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}}}, CompressedData[" 1:eJx10EEKgCAQhWGpFtEyEAYGggQj6RKeoSMErbuCR0/IWfTgCcPwy7fR9XrO u3fOTXWGOp2zM+ZvH2170nv+e2sFH0ijt45/XxJp9NgRPHYAb63kHhu9tf2H eU8aPfbS9kxawAvxnrSCx3c3XzbS6JX4RFrAS34B53ckaw== "]]}, { FaceForm[ RGBColor[1., 1., 1.]]}, StripOnInput -> False]}, ImageSize -> 15, PlotRange -> {{0., 15.75}, {0., 16.5}}, AspectRatio -> 1.15], "\"Submit to Repository\""}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Center}}}, AutoDelete -> False, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings -> { "Columns" -> {{0}}, "ColumnsIndexed" -> {2 -> 0.5}, "Rows" -> {{0}}}], "Grid"], "\"Submit your function to the Wolfram Function \ Repository\""}, "PrettyTooltipTemplate"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 3704832848557640569; DefinitionNotebookClient`$ClickedButton = "Submit"; With[{RSNB`nb = ButtonNotebook[]}, DefinitionNotebookClient`DisplayStripe[RSNB`nb, DefinitionNotebookClient`SubmitRepository[RSNB`nb], "ShowProgress" -> True]], DefinitionNotebookClient`ButtonCodeID[ 3704832848557640569]]& , "\"Submit your function to the Wolfram Function \ Repository\"", True}, "OrangeButtonTemplate"]]], StandardForm], Evaluator -> "System", SingleEvaluation -> True]}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "ColumnsIndexed" -> {-1 -> Right}, "Rows" -> {{Center}}}, AutoDelete -> False, GridBoxBackground -> {"Columns" -> {{None}}, "Rows" -> { RGBColor[0.988235, 0.419608, 0.203922], RGBColor[0.921569, 0.341176, 0.105882]}}, GridBoxFrame -> { "Columns" -> False, "RowsIndexed" -> { 1 -> RGBColor[0.988235, 0.419608, 0.203922], 2 -> RGBColor[0.921569, 0.341176, 0.105882]}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings -> { "Columns" -> {5, {0.9}, 5}, "RowsIndexed" -> {1 -> 1.1, 2 -> 1.3, 3 -> 0.25}}, FrameStyle -> RGBColor[0.988235, 0.419608, 0.203922]], "Grid"], ButtonBoxOptions -> {Enabled -> Dynamic[ Not[ TrueQ[DefinitionNotebookClient`$ButtonsDisabled]], TrackedSymbols :> {DefinitionNotebookClient`$ButtonsDisabled}]}, StripOnInput -> False]& )}], Cell[ StyleData["ReviewerCommentLabelTemplate"], TemplateBoxOptions -> {DisplayFunction -> (TagBox[ GridBox[{{#, TemplateBox[{ GraphicsBox[{ Thickness[0.022222222222222223`], { FaceForm[{ RGBColor[0.87451, 0.278431, 0.03137260000000001], Opacity[1.]}], FilledCurveBox[{{{1, 4, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}}}, {{{45., 22.5}, {45., 10.073999999999998`}, {34.926, 0.}, {22.5, 0.}, {10.074, 0.}, {0., 10.073999999999998`}, { 0., 22.5}, {0., 34.926}, {10.074, 45.}, {22.5, 45.}, {34.926, 45.}, {45., 34.926}, {45., 22.5}}}]}, { FaceForm[{ RGBColor[1., 1., 1.], Opacity[1.]}], FilledCurveBox[{{{0, 2, 0}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, { 1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {0, 1, 0}, {0, 1, 0}, {1, 3, 3}, {0, 1, 0}, {0, 1, 0}, {1, 3, 3}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, { 1, 3, 3}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}}, {{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {1, 3, 3}, {0, 1, 0}, {1, 3, 3}, {0, 1, 0}}, {{0, 2, 0}, {1, 3, 3}, {0, 1, 0}, {1, 3, 3}, {0, 1, 0}, {1, 3, 3}, {0, 1, 0}, {1, 3, 3}}, {{0, 2, 0}, {1, 3, 3}, {0, 1, 0}, {1, 3, 3}, {0, 1, 0}, {0, 1, 0}, { 0, 1, 0}}}, {CompressedData[" 1:eJxTTMoPSmViYGAwAWIQLcESxqe7SdlhqnN3zvPblg4w/omyffOl/K0cEp9e ULq9U9lhT8lkCZZrVg6VL9UMOd4oO1SLrHN/GGXtcKUCKOCh4sDDpN0udtPa 4fnvlR8v8ao6ZIE12ELMrVZzmAIymNfOAWj43PfpGg45YIV2Dguk9O+qsGlB 9M+0h9gjpgOxh8fBYePc98uPees5MICAggNE/TF9B6Bl574rO0DcMcsAwmd2 cNCM6T/0VcPQAeQsjh6oeWWGEPt97R3UDTnWyMwyhKh7Yefw5S/QB22GEHe1 2zlIg5yTaAh3by7InUKGDmBnLrR1cOkGudzAYZHrts9/Q2wdHi+dfUShwMBh Q1HGxLcytg5BO+RaXwsaQN1r6/BdA2jRVn1oeNk6aIEcWq4HcccvWwfTuF2e PEy6UPPtHIC+CH68VBvOP70QaNFeLTg/T6j5wKlELYdPl3yTBCLsIOGkowVx 71tbhycg93zQdAjonZ4ndNgGzgern2ENVw90TZVInhUkfqy1IO65ZQl3L4wP iW99B/NOx4SnEyzh4Q+W32XhcBUc0PoQd7dawM1D568H2cdnCOd/A9nzVc/h I9hdWg4ZoIg6oueQD/Kfoh40nSD4fkDfWpboQOw7oYDBh6mHxIcy3DxYek4A peOfCD7MPTA+zL0yUSnW9/sV4Hxw/DgpQOL7igUkfi8qwsMHAHSDTZ8= "], {{19.051000000000002`, 14.242}, {19.051000000000002`, 27.594}, {23.828, 27.594}, {23.828, 26.543}, {21.426, 26.308999999999997`}, {21.375, 26.258000000000003`}, { 21.375, 24.219}, {21.375, 17.535000000000004`}, {21.375, 15.602}, {21.426, 15.547}, {23.828, 15.315999999999999`}, { 23.828, 14.242}}, {{24.578, 18.75}, {24.578, 23.078000000000003`}, {24.578, 23.539}, {24.953, 23.914}, { 25.418, 23.91}, {29.746, 23.91}, {30.203, 23.91}, {30.578, 23.539}, {30.578, 23.078000000000003`}, {30.578, 18.75}, { 30.581999999999997`, 18.288999999999998`}, {30.207, 17.91}, {29.746, 17.91}, {25.418, 17.91}, {24.953, 17.906}, {24.574, 18.285}, {24.578, 18.75}}, {{31.328, 14.242}, {31.328, 15.315999999999999`}, {33.684, 15.539000000000001`}, {33.789, 15.602}, {33.789, 17.641}, { 33.789, 24.188}, {33.789, 26.227}, {33.684, 26.281}, { 31.328, 26.512000000000004`}, {31.328, 27.586}, {36.113, 27.586}, {36.113, 14.234000000000002`}}}]}}, { ImageSize -> 12, AspectRatio -> Automatic, Background -> None, ImageSize -> {45., 45.}, PlotRange -> {{0., 45.}, {0., 45.}}}], "Wolfram Function Repository Reviewer"}, "PrettyTooltipTemplate"]}}, GridBoxAlignment -> { "Columns" -> {{Automatic}}, "Rows" -> {{Center}}}, AutoDelete -> False, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings -> {"Columns" -> {{0.25}}}], "Grid"]& )}], Cell[ StyleData["CommentCellLabelTemplate"], TemplateBoxOptions -> {DisplayFunction -> (StyleBox[ TagBox[ GridBox[{{ StyleBox[#, FontSize -> 11]}, { StyleBox[ DynamicBox[ ToBoxes[ DateString[ TimeZoneConvert[ DateObject[#2, TimeZone -> 0]], { "Month", "/", "Day", "/", "Year", " ", "Hour24", ":", "Minute"}], StandardForm], SingleEvaluation -> True], FontSize -> 9]}}, GridBoxAlignment -> {"Columns" -> {{Left}}}, AutoDelete -> False, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings -> {"Columns" -> {{Automatic}}, "Rows" -> {{0}}}], "Grid"], "CommentLabel", ShowStringCharacters -> False]& )}], Cell[ StyleData["OrangeButtonTemplate"], TemplateBoxOptions -> {DisplayFunction -> (FrameBox[ ButtonBox[ StyleBox[#, "Text", FontFamily -> "Source Sans Pro", FontWeight -> "SemiBold", FontTracking -> "Condensed", FontSize -> 13, FontColor -> Dynamic[ FEPrivate`If[ CurrentValue[Enabled], GrayLevel[1], RGBColor[0.9568627450980391, 0.8019607843137255, 0.75]], Evaluator -> "System"], StripOnInput -> False], ButtonFunction :> With[{RSNB`nb$ = ButtonNotebook[]}, If[#4, CurrentValue[RSNB`nb$, {TaggingRules, "StatusMessage"}] = ProgressIndicator[Appearance -> "Necklace"]]; With[{RSNB`$cp$ = $ContextPath}, Quiet[ Block[{$ContextPath = RSNB`$cp$, ResourceSystemClient`$AsyncronousResourceInformationUpdates = False, DefinitionNotebookClient`$ButtonCodeID = None}, Internal`WithLocalSettings[ DefinitionNotebookClient`$ButtonsDisabled = True; Once[ ReleaseHold[ CurrentValue[ RSNB`nb$, {TaggingRules, "CompatibilityTest"}]], "KernelSession"]; Needs["DefinitionNotebookClient`"], Annotation[ DefinitionNotebookClient`$ButtonCodeID = 3145484069433207908; DefinitionNotebookClient`CheckForUpdates[RSNB`nb$, ReleaseHold[ DefinitionNotebookClient`$ButtonCode = HoldForm[ #2[]]]], DefinitionNotebookClient`ButtonCodeID[3145484069433207908]], DefinitionNotebookClient`$ButtonsDisabled = False; Null]; Null]]]; CurrentValue[RSNB`nb$, {TaggingRules, "StatusMessage"}] = ""; Null], FrameMargins -> {{5, 5}, {0, 0}}, Appearance -> {"Default" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4HW4NCWIDoa8CJZ47CsMQUA2qYY8cOe/Zsl82ZQBGQFF gOLEGPI8UOymHTtE1xUkE+BsoCxQDR5DgLJotuNCyOagGQJ3A0EEVInVEKB/ iTQBguDhg2wIZkjiR0D1EI2Q1AiJTbSQxI8gKiHxzgAGlBtCFZdQMUyoFTtU SSfUSrFUyTvUysVULE9IQlQ0BD8gprQHAOYEDp4= "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True], "Hover" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4HW4NCWIDoY8DpK86ikKQUA2qYacdhZaZ8CxXJsNGQFF gOLEGHLfX3yHOTeadmQElAWqwWMIUBaPdmSEbA6aIRA3rMCrfQXMPVgNAfqX SGdAEDx8kA3BDEn8CKgeohGSGiGxSZIJEASJdwYwoNwQqriEimFCrdihSjqh VoqlSt6hVi6mYnlCEqKiIfgBMaU9AAiH5q8= "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True], "Pressed" -> Image[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRIz UFAcikHs/4QAMWqA4HW4NCWIDoa8zTb72JMMQUA2qYZ8Wdr69/1LNF8DRYDi xBjyvsz115UjEPFvL589PbgNgoBsiCBQFqgGjyFAWYjIpwe3D2YFLNdmQ0ZA EaA4RAGyOWiGQNzw/ubllQY8aCZAEFAcKAtxD1ZDgP6FuAGXCXBzIO6Bhw+y IZCQxPQFJgKqgYQzRCMkNUJiExKSBE2AIEg4Q+KdAQwoN4QqLqFimFArdqiS TqiVYqmSd6iVi6lYnpCEqGgIfkBMaQ8AIISqgg== "], "Byte", ColorSpace -> "RGB", ImageResolution -> 144, Interleaving -> True]}, Background -> RGBColor[0.921569, 0.341176, 0.105882], Method -> "Queued", ImageSize -> {All, 23}, Evaluator -> Automatic], FrameStyle -> Directive[ RGBColor[0.921569, 0.341176, 0.105882], AbsoluteThickness[2]], FrameMargins -> -1, ContentPadding -> False, StripOnInput -> False]& )}], Cell[ StyleData["SuggestionGridTemplate"], TemplateBoxOptions -> {DisplayFunction -> (StyleBox[ FrameBox[ AdjustmentBox[ TagBox[ GridBox[{{ TemplateBox[{#2, #3, {16., 16.}, {{1., 17.}, {1., 17.}}}, "SuggestionIconTemplate"], PaneBox[#, ImageSizeAction -> "ShrinkToFit", BaselinePosition -> Baseline, ImageSize -> Full], RowBox[{ AdjustmentBox[ TemplateBox[{ ActionMenuBox[ TagBox[ PaneSelectorBox[{False -> GraphicsBox[{ EdgeForm[ Directive[ GrayLevel[1, 0], Thickness[0.025]]], FaceForm[#4], RectangleBox[{-1.75, -2}, {1.75, 2}, RoundingRadius -> 0.2], Thickness[0.15], #5, LineBox[{{-0.5, -1.}, {0.5, 0.}, {-0.5, 1.}}]}, ImageSize -> {Automatic, 15}, ImageMargins -> 0], True -> GraphicsBox[{ EdgeForm[ Directive[#5, Thickness[0.025]]], FaceForm[#2], RectangleBox[{-1.75, -2}, {1.75, 2}, RoundingRadius -> 0.2], Thickness[0.15], GrayLevel[1], LineBox[{{-0.5, -1.}, {0.5, 0.}, {-0.5, 1.}}]}, ImageSize -> {Automatic, 15}, ImageMargins -> 0]}, Dynamic[ CurrentValue["MouseOver"]], ImageSize -> Automatic, FrameMargins -> 0], MouseAppearanceTag["LinkHand"]], #6, Appearance -> None, Method -> "Queued"], "\"View suggestions\""}, "PrettyTooltipTemplate"], BoxBaselineShift -> -0.5], " "}]}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Baseline}}}, AutoDelete -> False, GridBoxItemSize -> { "Columns" -> {Automatic, Automatic, Fit}, "Rows" -> {{Automatic}}}, GridBoxSpacings -> {"Columns" -> {{0.4}}}], "Grid"], BoxMargins -> {{0.25, -0.5}, {0.15, -0.15}}], RoundingRadius -> {13, 75}, Background -> #4, FrameStyle -> None, FrameMargins -> {{0, 8}, {0, 0}}, ImageMargins -> {{0, 0}, {5, 5}}, StripOnInput -> False], "Text", FontColor -> #5, FontSize -> 14, FontFamily -> "Source Sans Pro", FontWeight -> "SemiBold", FontTracking -> "Plain", PrivateFontOptions -> {"OperatorSubstitution" -> False}, LineBreakWithin -> False]& )}], Cell[ StyleData["SuggestionIconTemplate"], TemplateBoxOptions -> {DisplayFunction -> (GraphicsBox[{ Thickness[0.05555555555555555], StyleBox[{ FilledCurveBox[{{{1, 4, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}}}, CompressedData[" 1:eJxTTMoPSmVmYGBgBGJJIGZigIIGAwcIQ8kBxk94ekHp9k9Vh4qXaoYcOfoO m+a+X37stKZDbP+hrxpzdOA0TBymDqYPl7n2pnG7PHlk4PzZRxQ2FGWIwPWD jI3p54WbLxuVYn3fnwluD8S8H/Yo9gD5KPYA+TB7YPph9sDMh9EwcZg6FPdh MRfdXpi7YPph7oaZD/MXzB5c4QCzBwA8nn+Z "]]}, FaceForm[#]], StyleBox[{ FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}}, {{1, 4, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}, {1, 3, 3}}}, {{{8.175292500000001, 7.416875}, {7.796855000000001, 11.3084375}, {7.796855000000001, 13.38}, {10.11998, 13.38}, {10.11998, 11.3084375}, { 9.741542500000001, 7.416875}, {8.175292500000001, 7.416875}}, CompressedData[" 1:eJxTTMoPSmViYGCQBGIQ/cTvZcLf/4oOD6tE1rk/5HNQjDzAkqeL4FsusdsW 1KjgwAAGAg7hCSdehX2Xd5BvfR24Q07QwaZCOJPjjZyDHdf1xQW2Qg56LJYa iWlyDv2HvmrEzBeG80GmVbmIwvkvtjT6Sb8Qg+t/BLLPUwJuPti6DEm4/WD7 2qTg7gMZJyIm7QBzP4y/zEVob88lJTi/7+dk7hV1ynD9c3LzfPxZVODmr3ro 0futUwVu/0bpbbqnzqjA3Qfjw9wP48P8B9MP8z/MfFj4wOyHhR/MfbDwRQ9/ ACBxmlc= "]}]}, FaceForm[#2]]}, ImageSize -> #3, PlotRange -> #4, AspectRatio -> Automatic, BaselinePosition -> Scaled[0.1]]& )}], Cell[ StyleData["FormEditValuesButtonTemplate"], TemplateBoxOptions -> {DisplayFunction -> (TemplateBox[{ TagBox[ PaneBox[ PaneSelectorBox[{False -> GraphicsBox[ TagBox[ RasterBox[CompressedData[" 1:eJzNWHlMVEcYf28XlGM5VlcRapRDDFK0sBaLBWVXUDxTKpe4JgvoQlALAsvV hHIoV4KK6wGiQlUqoqDcKKysDSZtPZJWTTzaxGrV2mqrNtqKB3Qnz8+Zd6Cv tn90vkgyv+/4zc58M9/3dEtIXZoooSgqw8r8Z2l8tjo9PT43wtE8iUrJSE5K 0a1akKLXJenSAxKkZlD58h9y+X+M8Z7a/I3G7V/lHQgKp2kGmzw9rcrQb+j/ ZItPIGBvNywsVVGVJ01DWAqbpBYUFZ1hGsTYvssRqTLHt4nvoIgvbP6ZjM+I Nt9PzUePPdbvcvX+ZwzTQ9vv8yMh6R04fFNY0/ciOkM8wzjXY4+F47xJgiPF cqRuY3kOlnUGLFq4khsv53NPv8zd7NXs/lYsR+158Gm9l1Tu7IYwmq7oJaMd uWMnR7jMMXLd/isYt7UXx4F9Rjtj1NmNXPPsCKyh6S9+AHzUOHEcpR3gMWM+ iQdHrq1kZFkmidvYQS633399ZBf31G21F/ZdLmmvPo0zVcyalCFg33Qr78Ce 7+qv5jdOm8W3e39u9yN+npR3ieHQ5ArlWGwW28pBIXwfilvFcESnC2eyMoS0 ii8UstncZ2XDjiaROihGjbMcyWVJLBP0N2ELC8vm229icHFPKKo+Y3zK3Jj6 q2lV3gFvZpk4BfSqKHwfFC4fLNDml3cVt2IGO7m+5sRzfoSNxglemGVV8dZT yRXqaKeJ5V1gkWIALX5bk8r5u+3x3qEbwvuN3kJ1DN9j5mLQdz60skXIeM9X PoPMnWYzdD4cjoGRMC3XRyI5+CNolyQhJK4A5mWdXGs7Ofs3HP+z9nz16fbf Scz41Muf67c8B7Q7z6L5RiPMAxZxbfU1OFbDtVDNSGtmnb4qQz/W1F1ElYsc 8rG9A6BF8x1fw2zhSnbddHHHJ115kl3rJNI1mzBL6HI2x9SglrugQzHzG7Ft RQ95IglF+DfwqylNb2gRugnWMnNteFWLj/+FsNlLyd3tfoTrTPWZV+vUcBnQ cHbre8HoTzy3ljGYxzT2Cep3MespaibRtZWwGy9vnPmkmXPgjy1fgte7Mxlk fhwZa/8V+9EQTZuPzwg4HBSA1J4XZqCotB1gExTO58hrYOoYM5RzcCcAHHIn QKpPD8eBzx12GHP0PAlfjXPI3C8J7JXlSNjt9vuSYVrKkjbwUs4R2quCwxLU mFJTZpCoaQjXuPqrgPmqhBhs7XH1lTsxmP889su24lOEZuzEyJE7ZJ3Gu23o Z9bDHvitrb2A0Um+NedwxKO/IGzrKZhn15FnRFHeAdh2zSZuXxscCXtpGorR kxqpRWx2zxPQsTk8/bgrxe+MaWj9UXw/be11pZih5VduxzPCqu03kiPFALPM 3VyOCV5kv9P3ovJk6rbkipI2du3n39AwLegO3UBzn0CYH3vMfzHUMeyM4Mu6 7Vwfiqr6BrRxBWhO0/suAxK5jm8fpoX7LszAz4bJStAanylcGCwiFbD9V2ja xk4ZosmNTsc+Xv51F4Xit9yduwJbqaJ0JYEfoT4xaw9YFDaBVuaId93cVb58 MxPLsL/UIlSz2URmft3FGL2tA7YI1UAONF7HOeWnxhb6XULrJFnQsLHz+XDW x6ooZQjcOD4DKXsvkfnu6i1kYxpaVcw/H/5QRQl7L0lk27HfLJCtp8Rw6EqF fDe08F+54MjaC0jX8aDpFtglV4jhCAoH+44HzPvdfFuTy63xMGwd5GMpKq8B fNTRpNZj2vw4RvznkfhoZ7A/fBO9AdzTEhrM70HiNBGj1jJcRY3PJvmSHod+ Ao3Yr2j8HVXeNXMx7Cr7K7HmHOzFZGXWHpytjmPEcXx2kIzWcG15juOYqUHk dz+S2OwRVmFa3DkhaboljgF1R9wc6R3A/RJIz5PWe1wsNlssB0XFZgllI8Qe TrOhxcJSPAfqIjabhOLkNYSvFsL3XlqsG67qv264eqcYuv4gI9V/bz+Kptcf IbETz4ualXP+zf/+WMuWJO08i2J1P0qrYjJTIl2WyXx5NV6PK1C88/bR/7vx N3kqZvY= "], {{0, 50.}, {50., 0}}, {0, 255}, ColorFunction -> GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> "Grayscale", Interleaving -> False], Selectable -> False], DefaultBaseStyle -> "ImageGraphics", ImageSizeRaw -> {50., 50.}, PlotRange -> {{0, 50.}, {0, 50.}}], True -> GraphicsBox[ TagBox[ RasterBox[CompressedData[" 1:eJzNWG1MU1cY7m1vS4GWttBLy0dLWyhl5aultrT0C2QzM5rMIWgyluDHkMwf YgBF9gc1cWpijDNuRNFsv2Rmuqmb/NjIYIFkG2qyAYnAljidODfdmItu+AHs Xi6n59x7D3LH9mPnRJLzvB/Pue95z3nfat3UWLVFKpFImpX0n6qNrRVNTRvb 1mrpRc225tcbttW/tnJbS31DfZN/k4wGS+b/MSb/jxFvt7QX95R86TytXyMh WEztye1w97v7c97SBAG2tEHIqRpXX/ksnPlnCVIiMTWXz0DMN5rZSGqX4l+u t+wp+wn1z05Lu7ZCiIYfOjoTnf+MQfd8aFLoiZmRR4FbeEl02tQsnkFpCT/E +1lsUtViOezHOJYzhZdSVqVt5vvLe0/ldpzk7mbZN2I5vEPAJnjPdlBpnQOJ 4s9Qb2V3SB0Dk9rM7b4xiJNJ4jigjSINiaAV3TO1FjEgSr+PWRjFcRR+AiyS X0RxqjrnCDtNO1Bcpga5HJp8tud4m/2Yd9g3WvixZxBmqpg96SqBfmDCeXrZ t6XjzjOaMEbvhfADYZ4UdYvhMLfhcsy8k6sl1+PvQ8EFMRymJnwm6ypRLcse nI7rc1kC1xshk+sVRmkcn8V2AGvfi1jKy24vxhBvs+71XI4+Zm9M6XhuR5J/ cZaE54CcqoH3IS49eaWlvai74AJkIHWOE9GnQg/FPQl5kMW6zz2QfSh1nTKr qBto2I8CKXxbbQeF0VYVB27i4828hanrhRYpq4E8dF+WOBcFe8xmZv5OcxhC 9xdiYKexjm9DSP0/AGl6A4NYdoN14SW+NqnjfkPkT++QZzD0G4pFH6u9fDvz LiD1XGHWxT1gnbKKr+s4AX35rxtqpfHsPrXl7n4o8Y4wlQsditTIIyBl1iVf gVXaZm7djLfBk3b1cWsdIcs5DFkMr3A5NKHg3RgH7dN5BsmUT9ETse6F34Cp pkTBedxNkKno2hCrxZG/GIyq4mTKA1hnPJdj+6wVMEiYlzg6PX8mT2UqFlMV cU/Q0cnuJ/8ciuYcAdGYv3H0SbPnIByuL4BVUoBFjBtQX74xeQrwZmmHZwQ4 5PrYmQ7hGSSS3HeADt0XCTicXWwdY4duOewEAIfCEMu/wYU44LmDCEOOyFTG VphDdL+EiZU0DkQ7NEks0FIWXgRWuuW4WOV/QDCNqSTJh6Lls7DGlY4DTFuO YyCTYPVVGFgseQX3Zct6Yy6mxyFSdget0zDa7n52P9wB31rvMERVLs9VxOPP DOYeAOu8d9Ezor/Qj0TwML+vpapBLOlvb0ElBGlujUzF7iCHQ+Xm7xS+M3RN /AjeTzLJth8yBH/hdzxSZfBXlMN+NHZfTvI5EvLQfic67eqzH8s+VHiRW/uF N9RYB2SBm8xaEwTr8EPhi5G6npsRwml/m29Dv4FfA6llNxs+3yhAMrcL9Y11 4L7jGYTZoC6JffmTuHQWy2wEmG+MvvRqXaW5zdSE2Hi9Izj/wbuGV6EWVWN7 U/8S0yc6TsXux1kgJbUw6nRXOf9m2g5Ae4I01Lp60cz3jphaSA3UMNSCHPDf gDmlrYAajk7cPlEWZsjUmjL9y1SNrhLcOCEDOn3X0HxPdOJ0ymet+4TnIxxU Dd46fQtXj/tmgekeEMNh24+zLTgvfOWoau8wIwv9HpgAetmHxHDo1wB92nbu /S67bW7j13gwSI0ila6+XcAmdR0qVRUZN7AzeQWKK9KAfuAW8wbwTws32O9h pjILojIVrKLRJyoXahH4EUjE/oqGv6OKulNWg6hyfyV6roJYqEscp2C2yilx HM73UW/+6+ZdckoTQn/3M9PcKlUa62DnNBerCXEMTHfEz5HII9gvxbCp4D0+ Zm4Vy0H3kjtx2Qh8LyShs1UunoPpIly9OD/OroytONx3La1+oar/rJHotB8N /4F6Kv1Onkz3hx+iWPRp/jm6Y/gX//sjU6U3eK4wvsIPcjvYzCRkph3sLy// DcvuuIyle//vxt/PCE6d "], {{0, 50.}, {50., 0}}, {0, 255}, ColorFunction -> GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> "Grayscale", Interleaving -> False], Selectable -> False], DefaultBaseStyle -> "ImageGraphics", ImageSizeRaw -> {50., 50.}, PlotRange -> {{0, 50.}, {0, 50.}}]}, Dynamic[ CurrentValue["MouseOver"]], ImageSize -> Automatic, FrameMargins -> 0], ImageSize -> {Automatic, 15}, ImageSizeAction -> "ResizeToFit"], MouseAppearanceTag["LinkHand"]], "\"Edit values\""}, "PrettyTooltipTemplate"]& )}], Cell["Documentation", "Section"], Cell["Usage", "Subsection"], Cell[ StyleData["UsageInputs", StyleDefinitions -> StyleData["Input"]], CellMargins -> {{66, 10}, {0, 8}}, StyleKeyMapping -> {"Tab" -> "UsageDescription"}, Evaluatable -> False, CellEventActions -> {"ReturnKeyDown" :> With[{RSNB`nb$ = Notebooks[ EvaluationCell[]]}, SelectionMove[ EvaluationCell[], After, Cell]; NotebookWrite[RSNB`nb$, Cell["", "UsageDescription"], All]; SelectionMove[RSNB`nb$, Before, CellContents]], {"KeyDown", "\t"} :> Replace[SelectionMove[ SelectedNotebook[], After, Cell]; NotebookFind[ SelectedNotebook[], "TabNext", Next, CellTags, AutoScroll -> True, WrapAround -> True], Blank[NotebookSelection] :> SelectionMove[ SelectedNotebook[], All, CellContents, AutoScroll -> True]]}, ShowAutoStyles -> False, ShowCodeAssist -> False, CodeAssistOptions -> {"DynamicHighlighting" -> False}, LineSpacing -> {1, 3}, TabSpacings -> {2.5}, CounterIncrements -> "Text", FontFamily -> "Source Sans Pro", FontSize -> 15, FontWeight -> "Plain"], Cell[ StyleData["UsageDescription", StyleDefinitions -> StyleData["Text"]], CellMargins -> {{86, 10}, {7, 0}}, StyleKeyMapping -> {"Backspace" -> "UsageInputs"}, CellGroupingRules -> "OutputGrouping", CellEventActions -> {"ReturnKeyDown" :> With[{RSNB`nb$ = Notebooks[ EvaluationCell[]]}, SelectionMove[ EvaluationCell[], After, Cell]; NotebookWrite[RSNB`nb$, Cell[ BoxData[""], "UsageInputs", FontFamily -> "Source Sans Pro"], All]; SelectionMove[RSNB`nb$, Before, CellContents]], {"KeyDown", "\t"} :> Replace[SelectionMove[ SelectedNotebook[], After, Cell]; NotebookFind[ SelectedNotebook[], "TabNext", Next, CellTags, AutoScroll -> True, WrapAround -> True], Blank[NotebookSelection] :> SelectionMove[ SelectedNotebook[], All, CellContents, AutoScroll -> True]]}, ShowAutoSpellCheck -> False], Cell["Details & Options", "Subsection"], Cell[ StyleData["Notes", StyleDefinitions -> StyleData["Item"]], CellDingbat -> StyleBox["\[FilledVerySmallSquare]", FontColor -> GrayLevel[0.6]], CellMargins -> {{66, 24}, {9, 7}}, ReturnCreatesNewCell -> False, StyleKeyMapping -> {}, DefaultNewCellStyle -> "Notes", ShowAutoSpellCheck -> False, GridBoxOptions -> {BaseStyle -> "TableNotes"}], Cell[ StyleData["TableNotes", StyleDefinitions -> StyleData["Notes"]], CellDingbat -> None, CellFrameColor -> RGBColor[0.749, 0.694, 0.553], StyleMenuListing -> None, ButtonBoxOptions -> {Appearance -> {Automatic, None}}, GridBoxOptions -> { FrameStyle -> GrayLevel[0.906], GridBoxAlignment -> { "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, "RowsIndexed" -> {}}, GridBoxDividers -> {"Columns" -> {{None}}, "Rows" -> {{True}}}, GridDefaultElement -> Cell["\[Placeholder]", "TableText"]}], Cell[ StyleData["TableText"], DefaultInlineFormatType -> "DefaultInputInlineFormatType", AutoQuoteCharacters -> {}, StyleMenuListing -> None], Cell["Examples", "Subsection"], Cell[ StyleData["ExampleDelimiter"], Selectable -> False, ShowCellBracket -> Automatic, CellMargins -> {{66, 14}, {5, 10}}, Evaluatable -> True, CellGroupingRules -> {"SectionGrouping", 58}, CellEvaluationFunction -> (($Line = 0; Null)& ), ShowCellLabel -> False, CellLabelAutoDelete -> True, TabFilling -> "\[LongDash]\[NegativeThickSpace]", TabSpacings -> {100}, StyleMenuListing -> None, FontFamily -> "Verdana", FontWeight -> Bold, FontSlant -> "Plain", FontColor -> GrayLevel[0.906]], Cell[ StyleData["ExampleText", StyleDefinitions -> StyleData["Text"]]], Cell[ StyleData["PageBreak", StyleDefinitions -> StyleData["ExampleDelimiter"]], Selectable -> False, CellFrame -> {{0, 0}, {1, 0}}, CellMargins -> {{66, 14}, {15, -5}}, CellElementSpacings -> {"CellMinHeight" -> 1}, Evaluatable -> True, CellEvaluationFunction -> (($Line = 0; Null)& ), CellFrameColor -> GrayLevel[ Rational[77, 85]]], Cell[ StyleData["Subsection"], Evaluatable -> True, CellEvaluationFunction -> (($Line = 0; Null)& ), ShowCellLabel -> False], Cell[ StyleData["Subsubsection"], Evaluatable -> True, CellEvaluationFunction -> (($Line = 0; Null)& ), ShowCellLabel -> False], Cell[ StyleData["ExampleImage"], PageWidth :> 650, CellMargins -> {{66, 66}, {16, 5}}, Evaluatable -> False, ShowCellLabel -> False, MenuSortingValue -> 10000, RasterBoxOptions -> {ImageEditMode -> False}], Cell["Links", "Section"], Cell[ StyleData["Link"], FontFamily -> "Source Sans Pro", FontColor -> Dynamic[ If[ CurrentValue["MouseOver"], RGBColor[0.855, 0.396, 0.145], RGBColor[0.02, 0.286, 0.651]]]], Cell[ StyleData["StringTypeLink", StyleDefinitions -> StyleData["Link"]], FontColor -> Dynamic[ If[ CurrentValue["MouseOver"], RGBColor[0.969, 0.467, 0.], GrayLevel[0.467]]]], Cell[ StyleData["CharactersRefLink"], ShowSpecialCharacters -> False], Cell["Annotation", "Section"], Cell[ StyleData["Excluded"], CellBracketOptions -> { "Color" -> RGBColor[0.9, 0.4, 0.4], "Thickness" -> 2}, GeneratedCellStyles -> { "Graphics" -> {"Graphics", "Excluded"}, "Message" -> {"Message", "MSG", "Excluded"}, "Output" -> {"Output", "Excluded"}, "Print" -> {"Print", "Excluded"}, "PrintTemporary" -> {"PrintTemporary", "Excluded"}}, CellFrameMargins -> 4, CellFrameLabels -> {{None, Cell[ BoxData[ TemplateBox[{ StyleBox[ "\"excluded\"", "ExcludedCellLabel", StripOnInput -> False], "\"Excluded cells will not appear anywhere in the published \ resource except for the definition notebook\""}, "PrettyTooltipTemplate"]], "ExcludedCellLabel"]}, {None, None}}, StyleMenuListing -> None, Background -> RGBColor[1, 0.95, 0.95]], Cell[ StyleData["ExcludedCellLabel", StyleDefinitions -> StyleData["Text"]], ShowStringCharacters -> False, FontFamily -> "Source Sans Pro", FontSize -> 9, FontWeight -> Plain, FontSlant -> Italic, FontColor -> RGBColor[0.9, 0.4, 0.4, 0.5], Background -> None], Cell[ StyleData["Comment", StyleDefinitions -> StyleData["Text"]], CellFrame -> {{3, 0}, {0, 0}}, CellMargins -> {{66, 0}, {1, 0}}, CellElementSpacings -> {"ClosedCellHeight" -> 0}, GeneratedCellStyles -> { "Graphics" -> {"Graphics", "Comment"}, "Message" -> {"Message", "MSG", "Comment"}, "Output" -> {"Output", "Comment"}, "Print" -> {"Print", "Comment"}, "PrintTemporary" -> {"PrintTemporary", "Comment"}}, CellFrameColor -> RGBColor[0.880722, 0.611041, 0.142051], CellFrameLabelMargins -> {{0, 10}, {0, 0}}, FontColor -> GrayLevel[0.25], Background -> RGBColor[0.982, 0.942, 0.871]], Cell[ StyleData["AuthorComment", StyleDefinitions -> StyleData["Comment"]], GeneratedCellStyles -> { "Graphics" -> {"Graphics", "AuthorComment"}, "Message" -> {"Message", "MSG", "AuthorComment"}, "Output" -> {"Output", "AuthorComment"}, "Print" -> {"Print", "AuthorComment"}, "PrintTemporary" -> {"PrintTemporary", "AuthorComment"}}, CellFrameColor -> RGBColor[0.368417, 0.506779, 0.709798], Background -> RGBColor[0.905, 0.926, 0.956]], Cell[ StyleData["ReviewerComment", StyleDefinitions -> StyleData["Comment"]], GeneratedCellStyles -> { "Graphics" -> {"Graphics", "ReviewerComment"}, "Message" -> {"Message", "MSG", "ReviewerComment"}, "Output" -> {"Output", "ReviewerComment"}, "Print" -> {"Print", "ReviewerComment"}, "PrintTemporary" -> {"PrintTemporary", "ReviewerComment"}}, CellFrameColor -> RGBColor[0.560181, 0.691569, 0.194885], Background -> RGBColor[0.934, 0.954, 0.879]], Cell[ StyleData["CommentLabel", StyleDefinitions -> StyleData["Text"]], ShowStringCharacters -> False, FontSlant -> "Italic", FontColor -> GrayLevel[0.5]], Cell["Special Input", "Section"], Cell[ StyleData["FormObjectCell"], CellMargins -> {{66, 66}, {16, 5}}], Cell[ StyleData["LocalFileInput", StyleDefinitions -> StyleData["Input"]], CellFrameLabels -> {{None, Cell[ BoxData[ ButtonBox[ "\"Choose\"", FrameMargins -> {{5, 5}, {0, 0}}, BaseStyle -> {"Panel", FontSize -> 12}, Evaluator -> Automatic, Method -> "Queued", ButtonFunction :> With[{RSNB`file = SystemDialogInput["FileOpen"], RSNB`cell = ParentCell[ EvaluationCell[]]}, If[ RSNB`file =!= $Canceled, SelectionMove[RSNB`cell, All, CellContents]; NotebookWrite[ Notebooks[RSNB`cell], RowBox[{"File", "[", ToBoxes[RSNB`file], "]"}]]]], Appearance :> FEPrivate`FrontEndResource[ "FEExpressions", "GrayButtonNinePatchAppearance"]]]]}, { None, None}}], Cell[ StyleData["LocalDirectoryInput", StyleDefinitions -> StyleData["Input"]], CellFrameLabels -> {{None, Cell[ BoxData[ ButtonBox[ "\"Choose\"", FrameMargins -> {{5, 5}, {0, 0}}, BaseStyle -> {"Panel", FontSize -> 12}, Evaluator -> Automatic, Method -> "Queued", ButtonFunction :> With[{RSNB`file = SystemDialogInput["Directory"], RSNB`cell = ParentCell[ EvaluationCell[]]}, If[ RSNB`file =!= $Canceled, SelectionMove[RSNB`cell, All, CellContents]; NotebookWrite[ Notebooks[RSNB`cell], RowBox[{"File", "[", ToBoxes[RSNB`file], "]"}]]]], Appearance :> FEPrivate`FrontEndResource[ "FEExpressions", "GrayButtonNinePatchAppearance"]]]]}, { None, None}}], Cell["Misc", "Section"], Cell[ StyleData["Item"], DefaultNewCellStyle -> "Item"], Cell[ StyleData["ButtonText"], FontFamily -> "Sans Serif", FontSize -> 11, FontWeight -> Bold, FontColor -> RGBColor[0.459, 0.459, 0.459]], Cell[ StyleData["InlineFormula"], HyphenationOptions -> {"HyphenationCharacter" -> "\[Continuation]"}, LanguageCategory -> "Formula", AutoSpacing -> True, ScriptLevel -> 1, SingleLetterItalics -> False, SpanMaxSize -> 1, StyleMenuListing -> None, FontFamily -> "Source Sans Pro", FontSize -> 1. Inherited, ButtonBoxOptions -> {Appearance -> {Automatic, None}}, FractionBoxOptions -> {BaseStyle -> {SpanMaxSize -> Automatic}}, GridBoxOptions -> { GridBoxItemSize -> { "Columns" -> {{Automatic}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, "RowsIndexed" -> {}}}], Cell[ StyleData["DockedCell"], CellFrameColor -> GrayLevel[0.75], Background -> GrayLevel[0.9]]}, Visible -> False, FrontEndVersion -> "13.0 for Linux x86 (64-bit) (November 22, 2021)", StyleDefinitions -> "PrivateStylesheetFormatting.nb"] ] (* End of Notebook Content *) (* Internal cache information *) (*CellTagsOutline CellTagsIndex->{ "Name"->{ Cell[637, 23, 104, 2, 70, "Title",ExpressionUUID->"a759713a-1332-4ea7-ad20-ca132ee1ab11", CellTags->{"Name", "TemplateCell", "Title"}, CellID->844905886]}, "TemplateCell"->{ Cell[637, 23, 104, 2, 70, "Title",ExpressionUUID->"a759713a-1332-4ea7-ad20-ca132ee1ab11", CellTags->{"Name", "TemplateCell", "Title"}, CellID->844905886], Cell[744, 27, 178, 5, 70, "Text",ExpressionUUID->"2f48e98f-e5c1-4641-be53-ba44c85f7f12", CellTags->{"Description", "TemplateCell"}, CellID->104721276]}, "Title"->{ Cell[637, 23, 104, 2, 70, "Title",ExpressionUUID->"a759713a-1332-4ea7-ad20-ca132ee1ab11", CellTags->{"Name", "TemplateCell", "Title"}, CellID->844905886]}, "Description"->{ Cell[744, 27, 178, 5, 70, "Text",ExpressionUUID->"2f48e98f-e5c1-4641-be53-ba44c85f7f12", CellTags->{"Description", "TemplateCell"}, CellID->104721276]}, "Definition"->{ Cell[947, 36, 1206, 29, 70, "Section",ExpressionUUID->"5b34d944-1c3a-446e-b2dc-9ee31639389f", CellTags->{"Definition", "Function", "TemplateCellGroup"}, CellID->72845326]}, "Function"->{ Cell[947, 36, 1206, 29, 70, "Section",ExpressionUUID->"5b34d944-1c3a-446e-b2dc-9ee31639389f", CellTags->{"Definition", "Function", "TemplateCellGroup"}, CellID->72845326]}, "TemplateCellGroup"->{ Cell[947, 36, 1206, 29, 70, "Section",ExpressionUUID->"5b34d944-1c3a-446e-b2dc-9ee31639389f", CellTags->{"Definition", "Function", "TemplateCellGroup"}, CellID->72845326], Cell[2698, 88, 1980, 50, 70, "Subsection",ExpressionUUID->"7e19e813-140a-4b62-88d9-dd852a34cd67", CellTags->{"TemplateCellGroup", "Usage"}, CellID->542419310], Cell[5525, 172, 1429, 32, 70, "Subsection",ExpressionUUID->"bee32f2f-61ab-4444-8da2-97e13ba7e8fa", CellTags->{"Details & Options", "Notes", "TemplateCellGroup"}, CellID->908801236], Cell[7713, 234, 7029, 152, 70, "Section",ExpressionUUID->"4266aacc-a5bc-4636-b668-47e11eedf6f2", CellTags->{"Examples", "TemplateCellGroup"}, CellID->530638011], Cell[71142, 2070, 1026, 26, 70, "Subsection",ExpressionUUID->"c138240d-b831-4c5b-b71d-6f61b9bda646", CellTags->{"Contributed By", "ContributorInformation", "TemplateCellGroup"}, CellID->86203256], Cell[72260, 2104, 996, 26, 70, "Subsection",ExpressionUUID->"7ffb7638-e127-4d83-a71a-6f3d2d1ec82e", CellTags->{"Keywords", "TemplateCellGroup"}, CellID->696375425], Cell[73530, 2147, 221, 6, 70, "Subsection",ExpressionUUID->"e76804e6-d27b-43d1-83dd-f2d373a727d0", CellTags->{"Categories", "TemplateCellGroup"}, CellID->362094786], Cell[102611, 3138, 980, 26, 70, "Subsection",ExpressionUUID->"c4d190a2-c855-42f2-b157-0e57886ecd6f", CellTags->{"Related Symbols", "TemplateCellGroup"}, CellID->659846169], Cell[103740, 3175, 1039, 26, 70, "Subsection",ExpressionUUID->"baa9bcd9-aa1d-4964-bd0a-c39ea50a7f50", CellTags->{"Related Resource Objects", "TemplateCellGroup"}, CellID->465534472], Cell[104876, 3209, 1084, 26, 70, "Subsection",ExpressionUUID->"f8620fc8-92f4-45b8-b7b0-c0cd259381ca", CellTags->{"Source/Reference Citation", "TemplateCellGroup"}, CellID->515669552], Cell[106516, 3250, 923, 26, 70, "Subsection",ExpressionUUID->"1b641254-4e9b-4648-a624-8883b30061da", CellTags->{"Links", "TemplateCellGroup"}, CellID->571756773], Cell[107984, 3291, 1874, 45, 70, "Subsection",ExpressionUUID->"44775639-54d2-413d-987b-3510cd2cc664", CellTags->{"TemplateCellGroup", "Tests", "VerificationTests"}, CellID->561308448], Cell[110215, 3357, 955, 25, 70, "Subsection",ExpressionUUID->"1fe733b1-bb17-46f7-a8c6-90d704fff31e", CellTags->{"Compatibility", "TemplateCellGroup"}, CellID->559974822], Cell[111195, 3386, 1174, 31, 70, "Subsubsection",ExpressionUUID->"5ae50f7c-f392-4ec3-81e3-44806dd6bab7", CellTags->{"CompatibilityWolframLanguageVersionRequired", "TemplateCellGroup", "Wolfram Language Version"}, CellID->901090016], Cell[112498, 3426, 1113, 29, 70, "Subsubsection",ExpressionUUID->"0a1ca717-f739-4525-afee-94c7d0c588e3", CellTags->{"CompatibilityOperatingSystem", "Operating System", "TemplateCellGroup"}, CellID->499582406], Cell[114972, 3502, 1280, 33, 70, "Subsubsection",ExpressionUUID->"c5511beb-03eb-4676-864e-ed7fef083f2e", CellTags->{"CompatibilityFeatures", "Required Features", "TemplateCellGroup"}, CellID->989275156], Cell[117657, 3583, 1913, 46, 70, "Subsubsection",ExpressionUUID->"b3743f77-5caa-45a1-8929-2c1aec419886", CellTags->{"CompatibilityEvaluationEnvironment", "Environments", "TemplateCellGroup"}, CellID->605308563], Cell[122506, 3719, 1071, 27, 70, "Subsubsection",ExpressionUUID->"5109dfe8-4cef-45d3-8404-02bd3c02f9b1", CellTags->{"Cloud Support", "CompatibilityCloudSupport", "TemplateCellGroup"}, CellID->129998371], Cell[124579, 3783, 1155, 28, 70, "Section",ExpressionUUID->"0c7dde67-98bb-46e2-89c7-65461d44cb30", CellTags->{"Author Notes", "TemplateCellGroup"}, CellID->681870591], Cell[126303, 3826, 1033, 26, 70, "Section",ExpressionUUID->"cac44e6a-a4d8-47c2-be6c-d777bf57d6e1", CellTags->{"Submission Notes", "TemplateCellGroup"}, CellID->916799765]}, "Documentation"->{ Cell[2478, 79, 195, 5, 70, "Section",ExpressionUUID->"e3e7c165-86e8-4203-bd60-63f783c7e24e", CellTags->{"Documentation", "TemplateSection"}, CellID->429741307]}, "TemplateSection"->{ Cell[2478, 79, 195, 5, 70, "Section",ExpressionUUID->"e3e7c165-86e8-4203-bd60-63f783c7e24e", CellTags->{"Documentation", "TemplateSection"}, CellID->429741307], Cell[70868, 2061, 249, 5, 70, "Section",ExpressionUUID->"dabbc548-5478-4d85-aca7-7107605a98a5", CellTags->{"Source & Additional Information", "TemplateSection"}, CellID->611501116]}, "Usage"->{ Cell[2698, 88, 1980, 50, 70, "Subsection",ExpressionUUID->"7e19e813-140a-4b62-88d9-dd852a34cd67", CellTags->{"TemplateCellGroup", "Usage"}, CellID->542419310]}, "Details & Options"->{ Cell[5525, 172, 1429, 32, 70, "Subsection",ExpressionUUID->"bee32f2f-61ab-4444-8da2-97e13ba7e8fa", CellTags->{"Details & Options", "Notes", "TemplateCellGroup"}, CellID->908801236]}, "Notes"->{ Cell[5525, 172, 1429, 32, 70, "Subsection",ExpressionUUID->"bee32f2f-61ab-4444-8da2-97e13ba7e8fa", CellTags->{"Details & Options", "Notes", "TemplateCellGroup"}, CellID->908801236]}, "TabNext"->{ Cell[6957, 206, 707, 22, 70, "Notes",ExpressionUUID->"37dd4b17-8ec4-4177-a30c-fffc92144464", CellTags->"TabNext", CellID->457411494], Cell[105963, 3237, 516, 8, 70, "Text",ExpressionUUID->"44d24e55-33c5-43ea-a8a7-52a3327d5af0", CellTags->{"DefaultContent", "TabNext"}, CellID->436399423], Cell[107442, 3278, 505, 8, 70, "Item",ExpressionUUID->"40fa7f81-eee0-4bea-bdfa-075970ef79c5", CellTags->{"DefaultContent", "TabNext"}, CellID->132505746], Cell[125737, 3813, 529, 8, 70, "Text",ExpressionUUID->"1905faf6-b286-4dd2-8d0a-b6b10245229d", CellTags->{"DefaultContent", "TabNext"}, CellID->958952487], Cell[127339, 3854, 515, 8, 70, "Text",ExpressionUUID->"ff1a370d-8aaa-4a9b-bc50-669cc719c15c", CellTags->{"DefaultContent", "TabNext"}, CellID->604291542]}, "Examples"->{ Cell[7713, 234, 7029, 152, 70, "Section",ExpressionUUID->"4266aacc-a5bc-4636-b668-47e11eedf6f2", CellTags->{"Examples", "TemplateCellGroup"}, CellID->530638011]}, "Source & Additional Information"->{ Cell[70868, 2061, 249, 5, 70, "Section",ExpressionUUID->"dabbc548-5478-4d85-aca7-7107605a98a5", CellTags->{"Source & Additional Information", "TemplateSection"}, CellID->611501116]}, "Contributed By"->{ Cell[71142, 2070, 1026, 26, 70, "Subsection",ExpressionUUID->"c138240d-b831-4c5b-b71d-6f61b9bda646", CellTags->{"Contributed By", "ContributorInformation", "TemplateCellGroup"}, CellID->86203256]}, "ContributorInformation"->{ Cell[71142, 2070, 1026, 26, 70, "Subsection",ExpressionUUID->"c138240d-b831-4c5b-b71d-6f61b9bda646", CellTags->{"Contributed By", "ContributorInformation", "TemplateCellGroup"}, CellID->86203256]}, "Keywords"->{ Cell[72260, 2104, 996, 26, 70, "Subsection",ExpressionUUID->"7ffb7638-e127-4d83-a71a-6f3d2d1ec82e", CellTags->{"Keywords", "TemplateCellGroup"}, CellID->696375425]}, "Categories"->{ Cell[73530, 2147, 221, 6, 70, "Subsection",ExpressionUUID->"e76804e6-d27b-43d1-83dd-f2d373a727d0", CellTags->{"Categories", "TemplateCellGroup"}, CellID->362094786], Cell[73754, 2155, 28820, 978, 70, "Output",ExpressionUUID->"22e1eddb-1520-4c37-8732-c92f9c654baa", CellTags->{"Categories", "Categories-Checkboxes", "CheckboxCell"}, CellID->288871374]}, "Categories-Checkboxes"->{ Cell[73754, 2155, 28820, 978, 70, "Output",ExpressionUUID->"22e1eddb-1520-4c37-8732-c92f9c654baa", CellTags->{"Categories", "Categories-Checkboxes", "CheckboxCell"}, CellID->288871374]}, "CheckboxCell"->{ Cell[73754, 2155, 28820, 978, 70, "Output",ExpressionUUID->"22e1eddb-1520-4c37-8732-c92f9c654baa", CellTags->{"Categories", "Categories-Checkboxes", "CheckboxCell"}, CellID->288871374], Cell[113614, 3457, 1321, 40, 70, "Output",ExpressionUUID->"365b8563-6867-4559-a4cf-77c136d134d2", CellTags->{"CheckboxCell", "CompatibilityOperatingSystem", "CompatibilityOperatingSystem-Checkboxes"}, CellID->40078524], Cell[116255, 3537, 1365, 41, 70, "Output",ExpressionUUID->"16bba285-54c1-48bd-87a0-e0c7c45368e1", CellTags->{"CheckboxCell", "CompatibilityFeatures", "CompatibilityFeatures-Checkboxes"}, CellID->396992059], Cell[119573, 3631, 2896, 83, 70, "Output",ExpressionUUID->"4de534e1-8081-4d4f-b1b1-eb75deccba0a", CellTags->{"CheckboxCell", "CompatibilityEvaluationEnvironment", "CompatibilityEvaluationEnvironment-Checkboxes"}, CellID->62394308], Cell[123580, 3748, 938, 28, 70, "Output",ExpressionUUID->"b088e831-5132-47a4-a079-9092bc76e4f2", CellTags->{"CheckboxCell", "CompatibilityCloudSupport", "CompatibilityCloudSupport-Checkboxes"}, CellID->454919203]}, "Related Symbols"->{ Cell[102611, 3138, 980, 26, 70, "Subsection",ExpressionUUID->"c4d190a2-c855-42f2-b157-0e57886ecd6f", CellTags->{"Related Symbols", "TemplateCellGroup"}, CellID->659846169]}, "Related Resource Objects"->{ Cell[103740, 3175, 1039, 26, 70, "Subsection",ExpressionUUID->"baa9bcd9-aa1d-4964-bd0a-c39ea50a7f50", CellTags->{"Related Resource Objects", "TemplateCellGroup"}, CellID->465534472]}, "Source/Reference Citation"->{ Cell[104876, 3209, 1084, 26, 70, "Subsection",ExpressionUUID->"f8620fc8-92f4-45b8-b7b0-c0cd259381ca", CellTags->{"Source/Reference Citation", "TemplateCellGroup"}, CellID->515669552]}, "DefaultContent"->{ Cell[105963, 3237, 516, 8, 70, "Text",ExpressionUUID->"44d24e55-33c5-43ea-a8a7-52a3327d5af0", CellTags->{"DefaultContent", "TabNext"}, CellID->436399423], Cell[107442, 3278, 505, 8, 70, "Item",ExpressionUUID->"40fa7f81-eee0-4bea-bdfa-075970ef79c5", CellTags->{"DefaultContent", "TabNext"}, CellID->132505746], Cell[109883, 3340, 158, 5, 70, "Input",ExpressionUUID->"71002374-bab7-434a-b277-35fba59e7272", CellTags->"DefaultContent", CellID->946203791], Cell[110044, 3347, 122, 4, 70, "Output",ExpressionUUID->"fbd7801e-8f03-4bc6-89fc-3e7670cac0f5", CellTags->"DefaultContent", CellID->168370258], Cell[112372, 3419, 89, 2, 70, "Text",ExpressionUUID->"4d3bf6fb-ea39-47a6-a13d-9fa1123afd3d", CellTags->{"DefaultContent", "ScrapeDefault"}, CellID->913148768], Cell[125737, 3813, 529, 8, 70, "Text",ExpressionUUID->"1905faf6-b286-4dd2-8d0a-b6b10245229d", CellTags->{"DefaultContent", "TabNext"}, CellID->958952487], Cell[127339, 3854, 515, 8, 70, "Text",ExpressionUUID->"ff1a370d-8aaa-4a9b-bc50-669cc719c15c", CellTags->{"DefaultContent", "TabNext"}, CellID->604291542]}, "Links"->{ Cell[106516, 3250, 923, 26, 70, "Subsection",ExpressionUUID->"1b641254-4e9b-4648-a624-8883b30061da", CellTags->{"Links", "TemplateCellGroup"}, CellID->571756773]}, "Tests"->{ Cell[107984, 3291, 1874, 45, 70, "Subsection",ExpressionUUID->"44775639-54d2-413d-987b-3510cd2cc664", CellTags->{"TemplateCellGroup", "Tests", "VerificationTests"}, CellID->561308448]}, "VerificationTests"->{ Cell[107984, 3291, 1874, 45, 70, "Subsection",ExpressionUUID->"44775639-54d2-413d-987b-3510cd2cc664", CellTags->{"TemplateCellGroup", "Tests", "VerificationTests"}, CellID->561308448]}, "Compatibility"->{ Cell[110215, 3357, 955, 25, 70, "Subsection",ExpressionUUID->"1fe733b1-bb17-46f7-a8c6-90d704fff31e", CellTags->{"Compatibility", "TemplateCellGroup"}, CellID->559974822]}, "CompatibilityWolframLanguageVersionRequired"->{ Cell[111195, 3386, 1174, 31, 70, "Subsubsection",ExpressionUUID->"5ae50f7c-f392-4ec3-81e3-44806dd6bab7", CellTags->{"CompatibilityWolframLanguageVersionRequired", "TemplateCellGroup", "Wolfram Language Version"}, CellID->901090016]}, "Wolfram Language Version"->{ Cell[111195, 3386, 1174, 31, 70, "Subsubsection",ExpressionUUID->"5ae50f7c-f392-4ec3-81e3-44806dd6bab7", CellTags->{"CompatibilityWolframLanguageVersionRequired", "TemplateCellGroup", "Wolfram Language Version"}, CellID->901090016]}, "ScrapeDefault"->{ Cell[112372, 3419, 89, 2, 70, "Text",ExpressionUUID->"4d3bf6fb-ea39-47a6-a13d-9fa1123afd3d", CellTags->{"DefaultContent", "ScrapeDefault"}, CellID->913148768]}, "CompatibilityOperatingSystem"->{ Cell[112498, 3426, 1113, 29, 70, "Subsubsection",ExpressionUUID->"0a1ca717-f739-4525-afee-94c7d0c588e3", CellTags->{"CompatibilityOperatingSystem", "Operating System", "TemplateCellGroup"}, CellID->499582406], Cell[113614, 3457, 1321, 40, 70, "Output",ExpressionUUID->"365b8563-6867-4559-a4cf-77c136d134d2", CellTags->{"CheckboxCell", "CompatibilityOperatingSystem", "CompatibilityOperatingSystem-Checkboxes"}, CellID->40078524]}, "Operating System"->{ Cell[112498, 3426, 1113, 29, 70, "Subsubsection",ExpressionUUID->"0a1ca717-f739-4525-afee-94c7d0c588e3", CellTags->{"CompatibilityOperatingSystem", "Operating System", "TemplateCellGroup"}, CellID->499582406]}, "CompatibilityOperatingSystem-Checkboxes"->{ Cell[113614, 3457, 1321, 40, 70, "Output",ExpressionUUID->"365b8563-6867-4559-a4cf-77c136d134d2", CellTags->{"CheckboxCell", "CompatibilityOperatingSystem", "CompatibilityOperatingSystem-Checkboxes"}, CellID->40078524]}, "CompatibilityFeatures"->{ Cell[114972, 3502, 1280, 33, 70, "Subsubsection",ExpressionUUID->"c5511beb-03eb-4676-864e-ed7fef083f2e", CellTags->{"CompatibilityFeatures", "Required Features", "TemplateCellGroup"}, CellID->989275156], Cell[116255, 3537, 1365, 41, 70, "Output",ExpressionUUID->"16bba285-54c1-48bd-87a0-e0c7c45368e1", CellTags->{"CheckboxCell", "CompatibilityFeatures", "CompatibilityFeatures-Checkboxes"}, CellID->396992059]}, "Required Features"->{ Cell[114972, 3502, 1280, 33, 70, "Subsubsection",ExpressionUUID->"c5511beb-03eb-4676-864e-ed7fef083f2e", CellTags->{"CompatibilityFeatures", "Required Features", "TemplateCellGroup"}, CellID->989275156]}, "CompatibilityFeatures-Checkboxes"->{ Cell[116255, 3537, 1365, 41, 70, "Output",ExpressionUUID->"16bba285-54c1-48bd-87a0-e0c7c45368e1", CellTags->{"CheckboxCell", "CompatibilityFeatures", "CompatibilityFeatures-Checkboxes"}, CellID->396992059]}, "CompatibilityEvaluationEnvironment"->{ Cell[117657, 3583, 1913, 46, 70, "Subsubsection",ExpressionUUID->"b3743f77-5caa-45a1-8929-2c1aec419886", CellTags->{"CompatibilityEvaluationEnvironment", "Environments", "TemplateCellGroup"}, CellID->605308563], Cell[119573, 3631, 2896, 83, 70, "Output",ExpressionUUID->"4de534e1-8081-4d4f-b1b1-eb75deccba0a", CellTags->{"CheckboxCell", "CompatibilityEvaluationEnvironment", "CompatibilityEvaluationEnvironment-Checkboxes"}, CellID->62394308]}, "Environments"->{ Cell[117657, 3583, 1913, 46, 70, "Subsubsection",ExpressionUUID->"b3743f77-5caa-45a1-8929-2c1aec419886", CellTags->{"CompatibilityEvaluationEnvironment", "Environments", "TemplateCellGroup"}, CellID->605308563]}, "CompatibilityEvaluationEnvironment-Checkboxes"->{ Cell[119573, 3631, 2896, 83, 70, "Output",ExpressionUUID->"4de534e1-8081-4d4f-b1b1-eb75deccba0a", CellTags->{"CheckboxCell", "CompatibilityEvaluationEnvironment", "CompatibilityEvaluationEnvironment-Checkboxes"}, CellID->62394308]}, "Cloud Support"->{ Cell[122506, 3719, 1071, 27, 70, "Subsubsection",ExpressionUUID->"5109dfe8-4cef-45d3-8404-02bd3c02f9b1", CellTags->{"Cloud Support", "CompatibilityCloudSupport", "TemplateCellGroup"}, CellID->129998371]}, "CompatibilityCloudSupport"->{ Cell[122506, 3719, 1071, 27, 70, "Subsubsection",ExpressionUUID->"5109dfe8-4cef-45d3-8404-02bd3c02f9b1", CellTags->{"Cloud Support", "CompatibilityCloudSupport", "TemplateCellGroup"}, CellID->129998371], Cell[123580, 3748, 938, 28, 70, "Output",ExpressionUUID->"b088e831-5132-47a4-a079-9092bc76e4f2", CellTags->{"CheckboxCell", "CompatibilityCloudSupport", "CompatibilityCloudSupport-Checkboxes"}, CellID->454919203]}, "CompatibilityCloudSupport-Checkboxes"->{ Cell[123580, 3748, 938, 28, 70, "Output",ExpressionUUID->"b088e831-5132-47a4-a079-9092bc76e4f2", CellTags->{"CheckboxCell", "CompatibilityCloudSupport", "CompatibilityCloudSupport-Checkboxes"}, CellID->454919203]}, "Author Notes"->{ Cell[124579, 3783, 1155, 28, 70, "Section",ExpressionUUID->"0c7dde67-98bb-46e2-89c7-65461d44cb30", CellTags->{"Author Notes", "TemplateCellGroup"}, CellID->681870591]}, "Submission Notes"->{ Cell[126303, 3826, 1033, 26, 70, "Section",ExpressionUUID->"cac44e6a-a4d8-47c2-be6c-d777bf57d6e1", CellTags->{"Submission Notes", "TemplateCellGroup"}, CellID->916799765]} } *) (*CellTagsIndex CellTagsIndex->{ {"Name", 251273, 6205}, {"TemplateCell", 251456, 6209}, {"Title", 251792, 6216}, {"Description", 251974, 6220}, {"Definition", 252152, 6224}, {"Function", 252348, 6228}, {"TemplateCellGroup", 252553, 6232}, {"Documentation", 256400, 6293}, {"TemplateSection", 256592, 6297}, {"Usage", 256964, 6304}, {"Details & Options", 257157, 6308}, {"Notes", 257360, 6312}, {"TabNext", 257565, 6316}, {"Examples", 258375, 6332}, {"Source & Additional Information", 258584, 6336}, {"Contributed By", 258796, 6340}, {"ContributorInformation", 259031, 6344}, {"Keywords", 259252, 6348}, {"Categories", 259443, 6352}, {"Categories-Checkboxes", 259840, 6359}, {"CheckboxCell", 260054, 6363}, {"Related Symbols", 261176, 6379}, {"Related Resource Objects", 261389, 6383}, {"Source/Reference Citation", 261613, 6387}, {"DefaultContent", 261827, 6391}, {"Links", 262963, 6413}, {"Tests", 263147, 6417}, {"VerificationTests", 263365, 6421}, {"Compatibility", 263579, 6425}, {"CompatibilityWolframLanguageVersionRequired", 263809, 6429}, {"Wolfram Language Version", 264082, 6433}, {"ScrapeDefault", 264344, 6437}, {"CompatibilityOperatingSystem", 264548, 6441}, {"Operating System", 265018, 6448}, {"CompatibilityOperatingSystem-Checkboxes", 265283, 6452}, {"CompatibilityFeatures", 265540, 6456}, {"Required Features", 265992, 6463}, {"CompatibilityFeatures-Checkboxes", 266244, 6467}, {"CompatibilityEvaluationEnvironment", 266501, 6471}, {"Environments", 266981, 6478}, {"CompatibilityEvaluationEnvironment-Checkboxes", 267254, 6482}, {"Cloud Support", 267515, 6486}, {"CompatibilityCloudSupport", 267760, 6490}, {"CompatibilityCloudSupport-Checkboxes", 268238, 6497}, {"Author Notes", 268480, 6501}, {"Submission Notes", 268680, 6505} } *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[637, 23, 104, 2, 70, "Title",ExpressionUUID->"a759713a-1332-4ea7-ad20-ca132ee1ab11", CellTags->{"Name", "TemplateCell", "Title"}, CellID->844905886], Cell[744, 27, 178, 5, 70, "Text",ExpressionUUID->"2f48e98f-e5c1-4641-be53-ba44c85f7f12", CellTags->{"Description", "TemplateCell"}, CellID->104721276], Cell[CellGroupData[{ Cell[947, 36, 1206, 29, 70, "Section",ExpressionUUID->"5b34d944-1c3a-446e-b2dc-9ee31639389f", CellTags->{"Definition", "Function", "TemplateCellGroup"}, CellID->72845326], Cell[2156, 67, 285, 7, 70, "Input",ExpressionUUID->"be9da7bf-b6a5-4d78-9193-7b983a1a5427", CellID->96801627] }, Open ]], Cell[CellGroupData[{ Cell[2478, 79, 195, 5, 70, "Section",ExpressionUUID->"e3e7c165-86e8-4203-bd60-63f783c7e24e", CellTags->{"Documentation", "TemplateSection"}, CellID->429741307], Cell[CellGroupData[{ Cell[2698, 88, 1980, 50, 70, "Subsection",ExpressionUUID->"7e19e813-140a-4b62-88d9-dd852a34cd67", CellTags->{"TemplateCellGroup", "Usage"}, CellID->542419310], Cell[CellGroupData[{ Cell[4703, 142, 202, 6, 70, "UsageInputs",ExpressionUUID->"e97e5a31-1f28-4d4f-95f4-dfc47e3ecb83", CellID->972322201], Cell[4908, 150, 568, 16, 70, "UsageDescription",ExpressionUUID->"4a0a4348-ce8b-44dd-b5c1-7684b4309e83", CellID->522608992] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[5525, 172, 1429, 32, 70, "Subsection",ExpressionUUID->"bee32f2f-61ab-4444-8da2-97e13ba7e8fa", CellTags->{"Details & Options", "Notes", "TemplateCellGroup"}, CellID->908801236], Cell[6957, 206, 707, 22, 70, "Notes",ExpressionUUID->"37dd4b17-8ec4-4177-a30c-fffc92144464", CellTags->"TabNext", CellID->457411494] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[7713, 234, 7029, 152, 70, "Section",ExpressionUUID->"4266aacc-a5bc-4636-b668-47e11eedf6f2", CellTags->{"Examples", "TemplateCellGroup"}, CellID->530638011], Cell[CellGroupData[{ Cell[14767, 390, 75, 2, 70, "Subsection",ExpressionUUID->"a5d0666c-5aa2-4d2f-ae38-8f46b5bb285b", CellID->904125756], Cell[14845, 394, 151, 3, 70, "Text",ExpressionUUID->"f6d4c7e7-ac94-468e-9c49-97cc70437008", CellID->469758124], Cell[14999, 399, 942, 26, 70, "Input",ExpressionUUID->"b891d3be-ebed-46e6-a9ad-7406c1bfea2c", CellID->363575345], Cell[15944, 427, 205, 4, 70, "Text",ExpressionUUID->"852fd163-f458-4588-80cf-24986ee88f3d", CellID->242687760], Cell[CellGroupData[{ Cell[16174, 435, 311, 9, 70, "Input",ExpressionUUID->"2b943d03-c4b0-4f30-94c7-ee7757db981b", CellID->285588559], Cell[16488, 446, 3351, 92, 70, "Output",ExpressionUUID->"78c4bc71-e2a2-4d00-9dca-5bbb839b3b86", CellID->963314798] }, Open ]], Cell[19854, 541, 259, 5, 70, "Text",ExpressionUUID->"e0cae967-56b3-44c0-a62a-c758339bcc72", CellID->390438756], Cell[CellGroupData[{ Cell[20138, 550, 491, 13, 70, "Input",ExpressionUUID->"0509d07a-2d81-479d-82af-035ff741f0a8", CellID->158354800], Cell[20632, 565, 14341, 360, 70, "Output",ExpressionUUID->"b4a5bcac-92af-4972-a1f5-b9e7cd2cf4d2", CellID->793424354] }, Open ]], Cell[34988, 928, 225, 4, 70, "Text",ExpressionUUID->"58296ba3-df8c-4a94-b455-2864f0db4181", CellID->441659359], Cell[CellGroupData[{ Cell[35238, 936, 244, 7, 70, "Input",ExpressionUUID->"6689d2aa-5292-4823-8980-48d8fd74f00e", CellID->542812741], Cell[35485, 945, 259, 7, 70, "Output",ExpressionUUID->"d06c37ce-04b6-4922-95c6-2c801cf4e6cc", CellID->140408401] }, Open ]], Cell[35759, 955, 262, 5, 70, "Text",ExpressionUUID->"812c2863-0ef1-46b2-96b4-2e544988002f", CellID->282170444], Cell[CellGroupData[{ Cell[36046, 964, 270, 8, 70, "Input",ExpressionUUID->"420c1dec-5e0f-4695-8fe7-19953e6e1b62", CellID->353396331], Cell[36319, 974, 235, 7, 70, "Output",ExpressionUUID->"6d772524-0864-46e6-976a-eb24dc9ffc74", CellID->866181844] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[36603, 987, 66, 2, 70, "Subsection",ExpressionUUID->"9cacb31a-ba6a-44f8-99ce-551b5c498678", CellID->204653245], Cell[36672, 991, 194, 4, 70, "Text",ExpressionUUID->"9a67e477-c2f5-4c80-b4b6-9000a2506f6a", CellID->116157362], Cell[CellGroupData[{ Cell[36891, 999, 1209, 37, 70, "Input",ExpressionUUID->"aa840b48-f30e-49e5-9436-c2e037f6e1a1", CellID->991849514], Cell[38103, 1038, 6138, 178, 70, "Output",ExpressionUUID->"72adead4-f789-4c13-a2dc-804986a1746b", CellID->786483897] }, Open ]], Cell[CellGroupData[{ Cell[44278, 1221, 449, 13, 70, "Input",ExpressionUUID->"102d2457-6c46-4587-8cc4-038851efaf83", CellID->220726278], Cell[44730, 1236, 12130, 332, 70, "Output",ExpressionUUID->"93cc7147-d3e8-4202-9be0-c53892efe530", CellID->360552139] }, Open ]], Cell[56875, 1571, 223, 6, 70, "Text",ExpressionUUID->"fb34e232-5c8c-4c6a-8485-ee525e2c5d65", CellID->902858349], Cell[CellGroupData[{ Cell[57123, 1581, 151, 5, 70, "Input",ExpressionUUID->"810f35fd-941b-47ea-8d92-1c4ebe87cf8b", CellID->976294459], Cell[57277, 1588, 289, 8, 70, "Output",ExpressionUUID->"40c344ba-e9e0-4267-a121-b2606ce55bee", CellID->265665803] }, Open ]], Cell[57581, 1599, 158, 3, 70, "Text",ExpressionUUID->"78ba3930-5ee0-49ac-a338-2c0ce3f90002", CellID->282170445], Cell[CellGroupData[{ Cell[57764, 1606, 270, 8, 70, "Input",ExpressionUUID->"2167bacf-c2a7-444a-b5b1-730cd3c5015d", CellID->329936588], Cell[58037, 1616, 244, 7, 70, "Output",ExpressionUUID->"95ebbea1-75fd-4b60-831d-24e6f0ba47c5", CellID->3355551] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[58330, 1629, 85, 2, 70, "Subsection",ExpressionUUID->"aa6ba6e6-644f-466b-84d1-d0c094e125dc", CellID->232113220], Cell[58418, 1633, 501, 12, 70, "Text",ExpressionUUID->"0c1e21cd-0653-4b22-a579-b2f85879f5ac", CellID->972632259], Cell[58922, 1647, 1610, 49, 70, "Input",ExpressionUUID->"818f0eb7-ed57-417c-8c64-b5993e64fed6", CellID->962891585], Cell[60535, 1698, 197, 4, 70, "Text",ExpressionUUID->"f37724e8-9a99-4de2-b0f4-e2556077f780", CellID->798250435], Cell[CellGroupData[{ Cell[60757, 1706, 329, 9, 70, "Input",ExpressionUUID->"3ead8c4f-20c0-4a27-b9d4-080fb2674e0e", CellID->741550618], Cell[61089, 1717, 1027, 32, 70, "Output",ExpressionUUID->"c268ac38-b3cd-4c91-b377-cc0d42e092e3", CellID->563627132] }, Open ]], Cell[62131, 1752, 327, 10, 70, "Text",ExpressionUUID->"3816a335-2c3f-46d9-aae3-061b66ac6c6c", CellID->218320972], Cell[CellGroupData[{ Cell[62483, 1766, 324, 9, 70, "Input",ExpressionUUID->"be0c9aed-1288-4bdb-914b-c9607b9f2456", CellID->534874328], Cell[62810, 1777, 160, 4, 70, "Output",ExpressionUUID->"6385e7bb-c42c-4011-baf5-395fa6269136", CellID->705783987] }, Open ]], Cell[62985, 1784, 220, 4, 70, "Text",ExpressionUUID->"9a35aee2-3dd0-45b1-815e-b01ff409d6eb", CellID->88276073], Cell[CellGroupData[{ Cell[63230, 1792, 243, 7, 70, "Input",ExpressionUUID->"5b3a773e-efe3-4463-a66f-e2cf465e4be3", CellID->661593270], Cell[63476, 1801, 178, 5, 70, "Output",ExpressionUUID->"24430afe-b4d1-4453-8583-56911ca17412", CellID->79171151] }, Open ]], Cell[63669, 1809, 655, 21, 70, "Text",ExpressionUUID->"31d517a6-ccfb-4fc6-ab5e-38d65c338333", CellID->429325573], Cell[CellGroupData[{ Cell[64349, 1834, 324, 9, 70, "Input",ExpressionUUID->"74d29e49-6aff-4553-a536-d59c043bd226", CellID->226957598], Cell[64676, 1845, 979, 32, 70, "Output",ExpressionUUID->"27f705c2-240b-4cea-bbd7-df692e983fdb", CellID->974923685] }, Open ]], Cell[65670, 1880, 157, 3, 70, "Text",ExpressionUUID->"57f40320-38b1-4762-b711-22273ce35768", CellID->941358497], Cell[CellGroupData[{ Cell[65852, 1887, 244, 7, 70, "Input",ExpressionUUID->"a18d2b05-92ab-4fc0-97b0-7a76ec34e88d", CellID->169115125], Cell[66099, 1896, 133, 4, 70, "Output",ExpressionUUID->"216aa608-5b74-43f0-96b0-c9b9194a53d8", CellID->264898272] }, Open ]], Cell[66247, 1903, 223, 6, 70, "Text",ExpressionUUID->"902bd446-c1d3-4a6e-8a13-b7b7113b3aa1", CellID->667170309], Cell[CellGroupData[{ Cell[66495, 1913, 377, 12, 70, "Input",ExpressionUUID->"486530e1-b7a7-4cdb-9d75-8f82600d41d9", CellID->5714398], Cell[66875, 1927, 290, 9, 70, "Output",ExpressionUUID->"bea7b98f-7a34-4480-9857-2b43547ca6af", CellID->165887368] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[67214, 1942, 76, 2, 70, "Subsection",ExpressionUUID->"504d481b-0ef8-480b-bc05-468c29d481e0", CellID->158766396], Cell[67293, 1946, 814, 24, 70, "Text",ExpressionUUID->"e38454f4-f7e4-4a98-a30f-06bb0b27f174", CellID->608066444], Cell[CellGroupData[{ Cell[68132, 1974, 1355, 41, 70, "Input",ExpressionUUID->"9e320b51-8e63-42a9-83d8-6abf81dba626", CellID->565477095], Cell[69490, 2017, 387, 9, 70, "Output",ExpressionUUID->"e41a06d4-1643-4fa4-8442-351d770f4344", CellID->291270780] }, Open ]], Cell[CellGroupData[{ Cell[69914, 2031, 476, 12, 70, "Input",ExpressionUUID->"c1f6582b-d85b-423b-9f2e-1a8a891c7a08", CellID->131431510], Cell[70393, 2045, 414, 9, 70, "Output",ExpressionUUID->"3df6ec18-9caa-4c05-91ea-8925af8e4ab4", CellID->646573998] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell[70868, 2061, 249, 5, 70, "Section",ExpressionUUID->"dabbc548-5478-4d85-aca7-7107605a98a5", CellTags->{"Source & Additional Information", "TemplateSection"}, CellID->611501116], Cell[CellGroupData[{ Cell[71142, 2070, 1026, 26, 70, "Subsection",ExpressionUUID->"c138240d-b831-4c5b-b71d-6f61b9bda646", CellTags->{"Contributed By", "ContributorInformation", "TemplateCellGroup"}, CellID->86203256], Cell[72171, 2098, 52, 1, 70, "Text",ExpressionUUID->"01b2b600-0442-4782-9d3a-e43fbaf5ee91", CellID->110751496] }, Open ]], Cell[CellGroupData[{ Cell[72260, 2104, 996, 26, 70, "Subsection",ExpressionUUID->"7ffb7638-e127-4d83-a71a-6f3d2d1ec82e", CellTags->{"Keywords", "TemplateCellGroup"}, CellID->696375425], Cell[73259, 2132, 49, 1, 70, "Item",ExpressionUUID->"ed5896c4-18c3-4935-8b86-da20cc9a8155", CellID->29173737], Cell[73311, 2135, 53, 1, 70, "Item",ExpressionUUID->"2f51a2bb-5a34-47c8-a68e-64b2eb206509", CellID->357376464], Cell[73367, 2138, 69, 1, 70, "Item",ExpressionUUID->"2d6fa46b-1cc4-4f1c-830b-e9ab2455809f", CellID->564576612], Cell[73439, 2141, 54, 1, 70, "Item",ExpressionUUID->"c952c051-002d-40d9-8455-5d3a8fa2a962", CellID->992676555] }, Open ]], Cell[CellGroupData[{ Cell[73530, 2147, 221, 6, 70, "Subsection",ExpressionUUID->"e76804e6-d27b-43d1-83dd-f2d373a727d0", CellTags->{"Categories", "TemplateCellGroup"}, CellID->362094786], Cell[73754, 2155, 28820, 978, 70, "Output",ExpressionUUID->"22e1eddb-1520-4c37-8732-c92f9c654baa", CellTags->{"Categories", "Categories-Checkboxes", "CheckboxCell"}, CellID->288871374] }, Open ]], Cell[CellGroupData[{ Cell[102611, 3138, 980, 26, 70, "Subsection",ExpressionUUID->"c4d190a2-c855-42f2-b157-0e57886ecd6f", CellTags->{"Related Symbols", "TemplateCellGroup"}, CellID->659846169], Cell[103594, 3166, 49, 1, 70, "Item",ExpressionUUID->"ff70524e-5be3-42ec-91bb-3528f65912b0", CellID->308336340], Cell[103646, 3169, 57, 1, 70, "Item",ExpressionUUID->"5282a667-897a-417c-8054-ebb8a9635cf8", CellID->456884433] }, Open ]], Cell[CellGroupData[{ Cell[103740, 3175, 1039, 26, 70, "Subsection",ExpressionUUID->"baa9bcd9-aa1d-4964-bd0a-c39ea50a7f50", CellTags->{"Related Resource Objects", "TemplateCellGroup"}, CellID->465534472], Cell[104782, 3203, 57, 1, 70, "Item",ExpressionUUID->"87f1f36e-2f5a-4a09-8675-be82450d31e2", CellID->575136588] }, Open ]], Cell[CellGroupData[{ Cell[104876, 3209, 1084, 26, 70, "Subsection",ExpressionUUID->"f8620fc8-92f4-45b8-b7b0-c0cd259381ca", CellTags->{"Source/Reference Citation", "TemplateCellGroup"}, CellID->515669552], Cell[105963, 3237, 516, 8, 70, "Text",ExpressionUUID->"44d24e55-33c5-43ea-a8a7-52a3327d5af0", CellTags->{"DefaultContent", "TabNext"}, CellID->436399423] }, Open ]], Cell[CellGroupData[{ Cell[106516, 3250, 923, 26, 70, "Subsection",ExpressionUUID->"1b641254-4e9b-4648-a624-8883b30061da", CellTags->{"Links", "TemplateCellGroup"}, CellID->571756773], Cell[107442, 3278, 505, 8, 70, "Item",ExpressionUUID->"40fa7f81-eee0-4bea-bdfa-075970ef79c5", CellTags->{"DefaultContent", "TabNext"}, CellID->132505746] }, Open ]], Cell[CellGroupData[{ Cell[107984, 3291, 1874, 45, 70, "Subsection",ExpressionUUID->"44775639-54d2-413d-987b-3510cd2cc664", CellTags->{"TemplateCellGroup", "Tests", "VerificationTests"}, CellID->561308448], Cell[CellGroupData[{ Cell[109883, 3340, 158, 5, 70, "Input",ExpressionUUID->"71002374-bab7-434a-b277-35fba59e7272", CellTags->"DefaultContent", CellID->946203791], Cell[110044, 3347, 122, 4, 70, "Output",ExpressionUUID->"fbd7801e-8f03-4bc6-89fc-3e7670cac0f5", CellTags->"DefaultContent", CellID->168370258] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[110215, 3357, 955, 25, 70, "Subsection",ExpressionUUID->"1fe733b1-bb17-46f7-a8c6-90d704fff31e", CellTags->{"Compatibility", "TemplateCellGroup"}, CellID->559974822], Cell[CellGroupData[{ Cell[111195, 3386, 1174, 31, 70, "Subsubsection",ExpressionUUID->"5ae50f7c-f392-4ec3-81e3-44806dd6bab7", CellTags->{"CompatibilityWolframLanguageVersionRequired", "TemplateCellGroup", "Wolfram Language Version"}, CellID->901090016], Cell[112372, 3419, 89, 2, 70, "Text",ExpressionUUID->"4d3bf6fb-ea39-47a6-a13d-9fa1123afd3d", CellTags->{"DefaultContent", "ScrapeDefault"}, CellID->913148768] }, Open ]], Cell[CellGroupData[{ Cell[112498, 3426, 1113, 29, 70, "Subsubsection",ExpressionUUID->"0a1ca717-f739-4525-afee-94c7d0c588e3", CellTags->{"CompatibilityOperatingSystem", "Operating System", "TemplateCellGroup"}, CellID->499582406], Cell[113614, 3457, 1321, 40, 70, "Output",ExpressionUUID->"365b8563-6867-4559-a4cf-77c136d134d2", CellTags->{"CheckboxCell", "CompatibilityOperatingSystem", "CompatibilityOperatingSystem-Checkboxes"}, CellID->40078524] }, Closed]], Cell[CellGroupData[{ Cell[114972, 3502, 1280, 33, 70, "Subsubsection",ExpressionUUID->"c5511beb-03eb-4676-864e-ed7fef083f2e", CellTags->{"CompatibilityFeatures", "Required Features", "TemplateCellGroup"}, CellID->989275156], Cell[116255, 3537, 1365, 41, 70, "Output",ExpressionUUID->"16bba285-54c1-48bd-87a0-e0c7c45368e1", CellTags->{"CheckboxCell", "CompatibilityFeatures", "CompatibilityFeatures-Checkboxes"}, CellID->396992059] }, Closed]], Cell[CellGroupData[{ Cell[117657, 3583, 1913, 46, 70, "Subsubsection",ExpressionUUID->"b3743f77-5caa-45a1-8929-2c1aec419886", CellTags->{"CompatibilityEvaluationEnvironment", "Environments", "TemplateCellGroup"}, CellID->605308563], Cell[119573, 3631, 2896, 83, 70, "Output",ExpressionUUID->"4de534e1-8081-4d4f-b1b1-eb75deccba0a", CellTags->{"CheckboxCell", "CompatibilityEvaluationEnvironment", "CompatibilityEvaluationEnvironment-Checkboxes"}, CellID->62394308] }, Closed]], Cell[CellGroupData[{ Cell[122506, 3719, 1071, 27, 70, "Subsubsection",ExpressionUUID->"5109dfe8-4cef-45d3-8404-02bd3c02f9b1", CellTags->{"Cloud Support", "CompatibilityCloudSupport", "TemplateCellGroup"}, CellID->129998371], Cell[123580, 3748, 938, 28, 70, "Output",ExpressionUUID->"b088e831-5132-47a4-a079-9092bc76e4f2", CellTags->{"CheckboxCell", "CompatibilityCloudSupport", "CompatibilityCloudSupport-Checkboxes"}, CellID->454919203] }, Closed]] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[124579, 3783, 1155, 28, 70, "Section",ExpressionUUID->"0c7dde67-98bb-46e2-89c7-65461d44cb30", CellTags->{"Author Notes", "TemplateCellGroup"}, CellID->681870591], Cell[125737, 3813, 529, 8, 70, "Text",ExpressionUUID->"1905faf6-b286-4dd2-8d0a-b6b10245229d", CellTags->{"DefaultContent", "TabNext"}, CellID->958952487] }, Open ]], Cell[CellGroupData[{ Cell[126303, 3826, 1033, 26, 70, "Section",ExpressionUUID->"cac44e6a-a4d8-47c2-be6c-d777bf57d6e1", CellTags->{"Submission Notes", "TemplateCellGroup"}, CellID->916799765], Cell[127339, 3854, 515, 8, 70, "Text",ExpressionUUID->"ff1a370d-8aaa-4a9b-bc50-669cc719c15c", CellTags->{"DefaultContent", "TabNext"}, CellID->604291542] }, Open ]] }, Open ]] } ] *) (* End of internal cache information *)