Novos Recursos do
Mathematica
8: Entradas Linguísticas de Forma Livre
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Integração com o Wolfram|Alpha
Gráficos
Basta digitar o nome dos objetos para produzir gráficos 3D interativos.
X
\!\(\* NamespaceBox["WolframAlphaQueryResults", DynamicModuleBox[{Typeset`q$$ = "show pink sphere and orange cube and blue cone", Typeset`opts$$ = { AppearanceElements -> { "Extrusion", "Warnings", "Assumptions", "Pods"}, Asynchronous -> All, Method -> {"ExtrusionChosen" -> { "Result", "Result", 1, 1, "Input", "Graphics3D[{{Pink, Sphere[]}, {Orange, Translate[Cuboid[], \ {0, 2, 0}]}, {Blue, Translate[Cone[], {0, 4, 0}]}}]"}, "Formats" -> { "cell", "minput", "moutput", "msound", "dataformats"}}}, Typeset`elements$$ = { "Extrusion", "Warnings", "Assumptions", "Pods"}, pod1$$ = XMLElement[ "pod", {"title" -> "Input interpretation", "scanner" -> "MInput", "id" -> "Input", "position" -> "100", "error" -> "false", "numsubpods" -> "1"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement[ "minput", {}, { "Graphics3D[{{Pink, Sphere[]}, {Orange, Translate[Cuboid[], \ {0, 2, 0}]}, {Blue, Translate[Cone[], {0, 4, 0}]}}]"}], XMLElement["cell", {"compressed" -> True, "string" -> False}, { Cell[ BoxData[ FormBox[ TagBox[ StyleBox[ RowBox[{"Graphics3D", "[", RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{ StyleBox[ FormBox[ TagBox[ FormBox[ FormBox[ TemplateBox[{"\"pink\"", StyleBox[ RowBox[{"\"(\"", "", "\"color\"", "", "\")\""}], LinebreakAdjustments -> {1, 100, 1, 0, 100}, LineIndent -> 0, GrayLevel[0.6], StripOnInput -> False]}, "Row", DisplayFunction -> (RowBox[{#, " ", #2}]& ), InterpretationFunction -> (RowBox[{ StyleBox["Row", FontFamily -> "Bitstream Vera Sans", FontSize -> -1 + Inherited], "[", RowBox[{ RowBox[{"{", RowBox[{#, ",", #2}], "}"}], ",", "\" \""}], "]"}]& )], TraditionalForm], TraditionalForm], Format[#, TraditionalForm]& ], TraditionalForm], ShowStringCharacters -> False, StripOnInput -> False], ",", StyleBox[ TagBox[ GridBox[{{ StyleBox[ TagBox[ GridBox[{{ StyleBox[ StyleBox["\"sphere\"", ShowStringCharacters -> False, StripOnInput -> False], { LineIndent -> 0, LineSpacing -> {0.9, 0, 1.5}}]}}, GridBoxBackground -> {"Columns" -> { GrayLevel[0.949]}, "Rows" -> {{None}}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxDividers -> {"Columns" -> { GrayLevel[0.84], GrayLevel[0.84]}, "Rows" -> {{ GrayLevel[0.84]}}, "RowsIndexed" -> { 1 -> GrayLevel[0.84], -1 -> GrayLevel[0.84]}}, GridBoxSpacings -> { "Columns" -> {2, 2}, "Rows" -> {{1}}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Baseline}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " | "]], LineSpacing -> {1, 0, 1.5}, LineIndent -> 0]}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxSpacings -> {"Columns" -> {{ AbsoluteThickness[-1]}}, "Rows" -> {{0}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " | "]], ShowStringCharacters -> False, StripOnInput -> False]}], "}"}], ",", RowBox[{"{", RowBox[{ StyleBox[ FormBox[ TagBox[ FormBox[ FormBox[ TemplateBox[{"\"orange\"", StyleBox[ RowBox[{"\"(\"", "", "\"color\"", "", "\")\""}], LinebreakAdjustments -> {1, 100, 1, 0, 100}, LineIndent -> 0, GrayLevel[0.6], StripOnInput -> False]}, "Row", DisplayFunction -> (RowBox[{#, " ", #2}]& ), InterpretationFunction -> (RowBox[{ StyleBox["Row", FontFamily -> "Bitstream Vera Sans", FontSize -> -1 + Inherited], "[", RowBox[{ RowBox[{"{", RowBox[{#, ",", #2}], "}"}], ",", "\" \""}], "]"}]& )], TraditionalForm], TraditionalForm], Format[#, TraditionalForm]& ], TraditionalForm], ShowStringCharacters -> False, StripOnInput -> False], ",", StyleBox[ TagBox[ GridBox[{{ StyleBox[ TagBox[ GridBox[{{ StyleBox[ StyleBox["\"cuboid\"", ShowStringCharacters -> False, StripOnInput -> False], { LineIndent -> 0, LineSpacing -> {0.9, 0, 1.5}}]}}, GridBoxBackground -> {"Columns" -> { GrayLevel[0.949]}, "Rows" -> {{None}}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxDividers -> {"Columns" -> { GrayLevel[0.84], GrayLevel[0.84]}, "Rows" -> {{ GrayLevel[0.84]}}, "RowsIndexed" -> { 1 -> GrayLevel[0.84], -1 -> GrayLevel[0.84]}}, GridBoxSpacings -> { "Columns" -> {2, 2}, "Rows" -> {{1}}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Baseline}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " | "]], LineSpacing -> {1, 0, 1.5}, LineIndent -> 0]}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxSpacings -> {"Columns" -> {{ AbsoluteThickness[-1]}}, "Rows" -> {{0}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " | "]], ShowStringCharacters -> False, StripOnInput -> False]}], "}"}], ",", RowBox[{"{", RowBox[{ StyleBox[ FormBox[ TagBox[ FormBox[ FormBox[ TemplateBox[{"\"blue\"", StyleBox[ RowBox[{"\"(\"", "", "\"color\"", "", "\")\""}], LinebreakAdjustments -> {1, 100, 1, 0, 100}, LineIndent -> 0, GrayLevel[0.6], StripOnInput -> False]}, "Row", DisplayFunction -> (RowBox[{#, " ", #2}]& ), InterpretationFunction -> (RowBox[{ StyleBox["Row", FontFamily -> "Bitstream Vera Sans", FontSize -> -1 + Inherited], "[", RowBox[{ RowBox[{"{", RowBox[{#, ",", #2}], "}"}], ",", "\" \""}], "]"}]& )], TraditionalForm], TraditionalForm], Format[#, TraditionalForm]& ], TraditionalForm], ShowStringCharacters -> False, StripOnInput -> False], ",", StyleBox[ TagBox[ GridBox[{{ StyleBox[ TagBox[ GridBox[{{ StyleBox[ StyleBox["\"cone\"", ShowStringCharacters -> False, StripOnInput -> False], { LineIndent -> 0, LineSpacing -> {0.9, 0, 1.5}}]}}, GridBoxBackground -> {"Columns" -> { GrayLevel[0.949]}, "Rows" -> {{None}}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxDividers -> {"Columns" -> { GrayLevel[0.84], GrayLevel[0.84]}, "Rows" -> {{ GrayLevel[0.84]}}, "RowsIndexed" -> { 1 -> GrayLevel[0.84], -1 -> GrayLevel[0.84]}}, GridBoxSpacings -> { "Columns" -> {2, 2}, "Rows" -> {{1}}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Baseline}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " | "]], LineSpacing -> {1, 0, 1.5}, LineIndent -> 0]}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxSpacings -> {"Columns" -> {{ AbsoluteThickness[-1]}}, "Rows" -> {{0}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " | "]], ShowStringCharacters -> False, StripOnInput -> False]}], "}"}]}], "}"}], "]"}], ShowStringCharacters -> True, SpanMaxSize -> 1], Graphics3D[{{Pink, Sphere[]}, {Orange, Translate[ Cuboid[], {0, 2, 0}]}, {Blue, Translate[ Cone[], {0, 4, 0}]}}]& , Editable -> False, Selectable -> False], TraditionalForm]], "Output"]}], XMLElement[ "dataformats", {}, { "computabledata,formatteddata,formuladata"}]}], XMLElement["infos", {"count" -> "1"}, { XMLElement["info", {}, { XMLElement[ "link", { "url" -> "http://reference.wolfram.com/mathematica/ref/\ Graphics3D.html", "text" -> "Mathematica definition of Graphics3D"}, \ {}]}]}]}], pod2$$ = XMLElement[ "pod", {"title" -> "Result", "scanner" -> "MInput", "id" -> "Result", "position" -> "200", "error" -> "false", "numsubpods" -> "1", "primary" -> "true"}, { XMLElement["subpod", {"title" -> "", "primary" -> "true"}, { XMLElement[ "minput", {}, { "Graphics3D[{{Pink, Sphere[]}, {Orange, Translate[Cuboid[], \ {0, 2, 0}]}, {Blue, Translate[Cone[], {0, 4, 0}]}}]"}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ StyleBox[ StyleBox[ Graphics3DBox[{{ RGBColor[1, 0.5, 0.5], SphereBox[{0, 0, 0}]}, { RGBColor[1, 0.5, 0], GeometricTransformation3DBox[ CuboidBox[{0, 0, 0}], {0, 2, 0}]}, { RGBColor[0, 0, 1], GeometricTransformation3DBox[ ConeBox[{{0, 0, -1}, {0, 0, 1}}], {0, 4, 0}]}}], ShowStringCharacters -> True], Graphics3DBoxOptions -> {Boxed -> False}, StripOnInput -> False], TraditionalForm]], "Output"]}], XMLElement[ "dataformats", {}, { "computabledata,formatteddata,formuladata"}]}]}], aux1$$ = { True, False, {False}}, aux2$$ = {True, False, {False}}, Typeset`asyncpods$$ = {}, Typeset`nonpods$$ = { XMLElement["assumptions", {"count" -> "3"}, { XMLElement[ "assumption", { "type" -> "SubCategory", "word" -> "pink", "count" -> "2"}, { XMLElement[ "value", { "name" -> "{Mathematica, Pink}", "desc" -> "basic pink", "input" -> "*DPClash.ColorE.pink-_**Mathematica.Pink--"}, \ {}], XMLElement[ "value", { "name" -> "{HTML, Pink}", "desc" -> "HTML pink", "input" -> "*DPClash.ColorE.pink-_**HTML.Pink--"}, {}]}], XMLElement[ "assumption", { "type" -> "SubCategory", "word" -> "orange", "count" -> "2"}, { XMLElement[ "value", { "name" -> "{Mathematica, Orange}", "desc" -> "basic orange", "input" -> "*DPClash.ColorE.orange-_**Mathematica.Orange--\ "}, {}], XMLElement[ "value", { "name" -> "{HTML, Orange}", "desc" -> "HTML orange", "input" -> "*DPClash.ColorE.orange-_**HTML.Orange--"}, \ {}]}], XMLElement[ "assumption", { "type" -> "SubCategory", "word" -> "blue", "count" -> "2"}, { XMLElement[ "value", { "name" -> "{Mathematica, Blue}", "desc" -> "basic blue", "input" -> "*DPClash.ColorE.blue-_**Mathematica.Blue--"}, \ {}], XMLElement[ "value", { "name" -> "{HTML, Blue}", "desc" -> "HTML blue", "input" -> "*DPClash.ColorE.blue-_**HTML.Blue--"}, \ {}]}]}]}, Typeset`initdone$$ = True, Typeset`queryinfo$$ = { "success" -> "true", "error" -> "false", "numpods" -> "2", "datatypes" -> "", "timedout" -> "", "timing" -> "1.577", "parsetiming" -> "1.203", "parsetimedout" -> "false", "recalculate" -> "", "version" -> "1.1"}, Typeset`sessioninfo$$ = { "TimeZone" -> -6., "Date" -> {2010, 11, 15, 21, 20, 20.344982`9.061032244561552}, "Line" -> 2, "SessionID" -> 22930018109175690685}, Typeset`showpods$$ = {1, 2}, Typeset`failedpods$$ = {}, Typeset`chosen$$ = { "Result", "Result", 1, 1, "Input", "Graphics3D[{{Pink, Sphere[]}, {Orange, Translate[Cuboid[], {0, \ 2, 0}]}, {Blue, Translate[Cone[], {0, 4, 0}]}}]"}, Typeset`open$$ = False, Typeset`newq$$ = "show pink sphere and orange cube and blue cone"}, DynamicBox[ToBoxes[ AlphaIntegration`FormatAlphaResults[ Dynamic[{1, {pod1$$, pod2$$}, {aux1$$, aux2$$}, Typeset`chosen$$, Typeset`open$$, Typeset`elements$$, Typeset`q$$, Typeset`opts$$, Typeset`nonpods$$, Typeset`queryinfo$$, Typeset`sessioninfo$$, Typeset`showpods$$, Typeset`failedpods$$, Typeset`newq$$}]], StandardForm], ImageSizeCache->{345., {88., 18.}}, TrackedSymbols:>{Typeset`showpods$$, Typeset`failedpods$$}], DynamicModuleValues:>{}, Initialization:>If[ Not[Typeset`initdone$$], WolframAlphaClient`Private`doAsyncUpdates[ Hold[{pod1$$, pod2$$}], Typeset`asyncpods$$, Dynamic[Typeset`failedpods$$]]; Typeset`asyncpods$$ = {}; Typeset`\ initdone$$ = True], SynchronousInitialization->False], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)
Plote diversas funções simultaneamente.
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\!\(\* NamespaceBox["WolframAlphaQueryParseResults", DynamicModuleBox[{Typeset`q$$ = "plot x^2, x^3, sinx, cos x from -1 to 1", Typeset`newq$$ = "plot x^2, x^3, sinx, cos x from -1 to 1", Typeset`chosen$$ = "Plot[{x^2, x^3, Sin[x], Cos[x]}, {x, -1, 1}]"}, PaneSelectorBox[{False-> DynamicModuleBox[{WolframAlphaClient`Private`show$$ = False, WolframAlphaClient`Private`assumptionsQ$$ = False}, TagBox[ FrameBox[ TagBox[GridBox[{ { InputFieldBox[Dynamic[Typeset`newq$$], String, Appearance->None, BaseStyle->{"CalculateInput"}, ContinuousAction->True, Enabled->True, FieldSize->{{1, 40}, {1, DirectedInfinity[1]}}], ItemBox[ ButtonBox[ PaneSelectorBox[{True-> TagBox[ TooltipBox[ DynamicBox[FEPrivate`FrontEndResource["WABitmaps", "OrangeSquarePlus"], ImageSizeCache->{10., {3., 8.}}], DynamicBox[ ToBoxes[ FEPrivate`FrontEndResource["WAStrings", "ShowAllResults"], StandardForm]]], Annotation[#, Dynamic[ FEPrivate`FrontEndResource["WAStrings", "ShowAllResults"]], "Tooltip"]& ], False-> TagBox[ TooltipBox[ DynamicBox[FEPrivate`FrontEndResource["WABitmaps", "GraySquarePlus"], ImageSizeCache->{10., {3., 8.}}], DynamicBox[ ToBoxes[ FEPrivate`FrontEndResource["WAStrings", "ShowAllResults"], StandardForm]]], Annotation[#, Dynamic[ FEPrivate`FrontEndResource["WAStrings", "ShowAllResults"]], "Tooltip"]& ]}, Dynamic[ WolframAlphaClient`Private`show$$], ImageSize->All], Appearance->None, ButtonFunction:>(Quiet[ WolframAlpha[]]; If[ Or[ CurrentValue["OptionKey"], CurrentValue["AltKey"]], SelectionMove[ ButtonNotebook[], All, ButtonCell, AutoScroll -> False]; NotebookWrite[ ButtonNotebook[], Cell[Typeset`newq$$, "WolframAlphaShort", FormatType -> "TextForm"], All], WolframAlphaClient`Private`open$\ 1402 = True; WolframAlphaClient`Private`extrudeFromFastParse[ "plot x^2, x^3, sinx, cos x from -1 to 1", Defer[ Plot[{x^2, x^3, Sin[x], Cos[x]}, {x, -1, 1}]], "Fast parse"]; WolframAlphaClient`Private`open$\ 1402 = False]), Evaluator->Automatic, Method->"Queued"], Alignment->Right, StripOnInput->False]}, { PaneBox[ TagBox[ TooltipBox[ ButtonBox[ PaneSelectorBox[{False-> StyleBox[ RowBox[{"Plot", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"x", "^", "2"}], ",", " ", RowBox[{"x", "^", "3"}], ",", " ", RowBox[{"Sin", "[", "x", "]"}], ",", " ", RowBox[{"Cos", "[", "x", "]"}]}], "}"}], ",", " ", RowBox[{"{", RowBox[{"x", ",", " ", RowBox[{"-", "1"}], ",", " ", "1"}], "}"}]}], "]"}], StripOnInput->False, NumberMarks->False], True-> StyleBox[ RowBox[{"Plot", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"x", "^", "2"}], ",", " ", RowBox[{"x", "^", "3"}], ",", " ", RowBox[{"Sin", "[", "x", "]"}], ",", " ", RowBox[{"Cos", "[", "x", "]"}]}], "}"}], ",", " ", RowBox[{"{", RowBox[{"x", ",", " ", RowBox[{"-", "1"}], ",", " ", "1"}], "}"}]}], "]"}], StripOnInput->False, ShowSyntaxStyles->False, NumberMarks->False, FontColor->RGBColor[1, 0.5, 0]]}, Dynamic[ CurrentValue["MouseOver"]], BaseStyle->{ShowStringCharacters -> True}, FrameMargins->0, ImageSize->Automatic], Alignment->Left, Appearance->None, BaseStyle->{}, ButtonFunction:>(SelectionMove[ ButtonNotebook[], All, ButtonCell]; NotebookWrite[ ButtonNotebook[], Cell[ BoxData[ RowBox[{"Plot", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"x", "^", "2"}], ",", " ", RowBox[{"x", "^", "3"}], ",", " ", RowBox[{"Sin", "[", "x", "]"}], ",", " ", RowBox[{"Cos", "[", "x", "]"}]}], "}"}], ",", " ", RowBox[{"{", RowBox[{"x", ",", " ", RowBox[{"-", "1"}], ",", " ", "1"}], "}"}]}], "]"}]], "Input"], All]; SelectionMove[ ButtonNotebook[], After, CellContents]), Evaluator->Automatic, ImageSize->Automatic, Method->"Preemptive"], DynamicBox[ ToBoxes[ FEPrivate`FrontEndResource["WAStrings", "RemoveResults"], StandardForm]]], Annotation[#, Dynamic[ FEPrivate`FrontEndResource["WAStrings", "RemoveResults"]], "Tooltip"]& ], AppearanceElements->{}, BaseStyle->{ ShowStringCharacters -> True, "StandardForm", 12, ScriptLevel -> 0}, ImageSize->{Automatic, {1, 100}}, Scrollbars->{False, Automatic}], "\[SpanFromLeft]"} }, AutoDelete->False, BaselinePosition->{1, 1}, FrameStyle->GrayLevel[0.85], GridBoxAlignment->{"Columns" -> {{Left}}}, GridBoxDividers->{ "Columns" -> {{False}}, "Rows" -> {False, {True}, False}}, GridBoxItemSize->{ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Grid"], Alignment->Top, Background->Dynamic[ FEPrivate`If[ FEPrivate`And[ FEPrivate`SameQ[ FEPrivate`Head[Typeset`newq$$], String], FEPrivate`UnsameQ[Typeset`q$$, Typeset`newq$$]], RGBColor[1., 0.975, 0.95], GrayLevel[1]]], BaselinePosition->Baseline, FrameStyle->GrayLevel[0.85], ImageSize->Automatic, RoundingRadius->5, StripOnInput->False], EventHandlerTag[{ "MouseEntered" :> FEPrivate`Set[ WolframAlphaClient`Private`show$$, True], "MouseExited" :> FEPrivate`Set[ WolframAlphaClient`Private`show$$, False], PassEventsDown -> Automatic, PassEventsUp -> True}]], DynamicModuleValues:>{}], True-> TagBox[GridBox[{ { DynamicModuleBox[{WolframAlphaClient`Private`show$$ = False, WolframAlphaClient`Private`assumptionsQ$$ = False}, TagBox[ FrameBox[ TagBox[GridBox[{ { InputFieldBox[Dynamic[Typeset`newq$$], String, Appearance->None, BaseStyle->{"CalculateInput"}, ContinuousAction->True, Enabled->True, FieldSize->{{1, 40}, {1, DirectedInfinity[1]}}], ItemBox[ ButtonBox[ PaneSelectorBox[{True-> TagBox[ TooltipBox[ DynamicBox[FEPrivate`FrontEndResource[ "WABitmaps", "OrangeSquarePlus"]], DynamicBox[ ToBoxes[ FEPrivate`FrontEndResource["WAStrings", "ShowAllResults"], StandardForm]]], Annotation[#, Dynamic[ FEPrivate`FrontEndResource["WAStrings", "ShowAllResults"]], "Tooltip"]& ], False-> TagBox[ TooltipBox[ DynamicBox[FEPrivate`FrontEndResource["WABitmaps", "GraySquarePlus"]], DynamicBox[ ToBoxes[ FEPrivate`FrontEndResource["WAStrings", "ShowAllResults"], StandardForm]]], Annotation[#, Dynamic[ FEPrivate`FrontEndResource["WAStrings", "ShowAllResults"]], "Tooltip"]& ]}, Dynamic[ WolframAlphaClient`Private`show$$], ImageSize->All], Appearance->None, ButtonFunction:>(Quiet[ WolframAlpha[]]; If[ Or[ CurrentValue["OptionKey"], CurrentValue["AltKey"]], SelectionMove[ ButtonNotebook[], All, ButtonCell, AutoScroll -> False]; NotebookWrite[ ButtonNotebook[], Cell[Typeset`newq$$, "WolframAlphaShort", FormatType -> "TextForm"], All], WolframAlphaClient`Private`open$\ 1402 = True; WolframAlphaClient`Private`extrudeFromFastParse[ "plot x^2, x^3, sinx, cos x from -1 to 1", Defer[ Plot[{x^2, x^3, Sin[x], Cos[x]}, {x, -1, 1}]], "Fast parse"]; WolframAlphaClient`Private`open$\ 1402 = False]), Evaluator->Automatic, Method->"Queued"], Alignment->Right, StripOnInput->False]}, { PaneBox[ TagBox[ TooltipBox[ ButtonBox[ PaneSelectorBox[{False-> StyleBox[ RowBox[{"Plot", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"x", "^", "2"}], ",", " ", RowBox[{"x", "^", "3"}], ",", " ", RowBox[{"Sin", "[", "x", "]"}], ",", " ", RowBox[{"Cos", "[", "x", "]"}]}], "}"}], ",", " ", RowBox[{"{", RowBox[{"x", ",", " ", RowBox[{"-", "1"}], ",", " ", "1"}], "}"}]}], "]"}], StripOnInput->False, NumberMarks->False], True-> StyleBox[ RowBox[{"Plot", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"x", "^", "2"}], ",", " ", RowBox[{"x", "^", "3"}], ",", " ", RowBox[{"Sin", "[", "x", "]"}], ",", " ", RowBox[{"Cos", "[", "x", "]"}]}], "}"}], ",", " ", RowBox[{"{", RowBox[{"x", ",", " ", RowBox[{"-", "1"}], ",", " ", "1"}], "}"}]}], "]"}], StripOnInput->False, ShowSyntaxStyles->False, NumberMarks->False, FontColor->RGBColor[1, 0.5, 0]]}, Dynamic[ CurrentValue["MouseOver"]], BaseStyle->{ShowStringCharacters -> True}, FrameMargins->0, ImageSize->Automatic], Alignment->Left, Appearance->None, BaseStyle->{}, ButtonFunction:>(SelectionMove[ ButtonNotebook[], All, ButtonCell]; NotebookWrite[ ButtonNotebook[], Cell[ BoxData[ RowBox[{"Plot", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"x", "^", "2"}], ",", " ", RowBox[{"x", "^", "3"}], ",", " ", RowBox[{"Sin", "[", "x", "]"}], ",", " ", RowBox[{"Cos", "[", "x", "]"}]}], "}"}], ",", " ", RowBox[{"{", RowBox[{"x", ",", " ", RowBox[{"-", "1"}], ",", " ", "1"}], "}"}]}], "]"}]], "Input"], All]; SelectionMove[ ButtonNotebook[], After, CellContents]), Evaluator->Automatic, ImageSize->Automatic, Method->"Preemptive"], DynamicBox[ ToBoxes[ FEPrivate`FrontEndResource["WAStrings", "RemoveResults"], StandardForm]]], Annotation[#, Dynamic[ FEPrivate`FrontEndResource["WAStrings", "RemoveResults"]], "Tooltip"]& ], AppearanceElements->{}, BaseStyle->{ ShowStringCharacters -> True, "StandardForm", 12, ScriptLevel -> 0}, ImageSize->{Automatic, {1, 100}}, Scrollbars->{False, Automatic}], "\[SpanFromLeft]"} }, AutoDelete->False, BaselinePosition->{1, 1}, FrameStyle->GrayLevel[0.85], GridBoxAlignment->{"Columns" -> {{Left}}}, GridBoxDividers->{ "Columns" -> {{False}}, "Rows" -> {False, {True}, False}}, GridBoxItemSize->{ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Grid"], Alignment->Top, Background->Dynamic[ FEPrivate`If[ FEPrivate`And[ FEPrivate`SameQ[ FEPrivate`Head[Typeset`newq$$], String], FEPrivate`UnsameQ[Typeset`q$$, Typeset`newq$$]], RGBColor[1., 0.975, 0.95], GrayLevel[1]]], BaselinePosition->Baseline, FrameStyle->GrayLevel[0.85], ImageSize->Automatic, RoundingRadius->5, StripOnInput->False], EventHandlerTag[{ "MouseEntered" :> FEPrivate`Set[ WolframAlphaClient`Private`show$$, True], "MouseExited" :> FEPrivate`Set[ WolframAlphaClient`Private`show$$, False], PassEventsDown -> Automatic, PassEventsUp -> True}]], DynamicModuleValues:>{}]}, { InterpretationBox[ StyleBox[ DynamicBox[FEPrivate`FrontEndResource[ "FEExpressions", "NecklaceAnimator"][20]], AnimatorBoxOptions->{ImageSize->20}], Animator[Appearance -> "Necklace", ImageSize -> 20], BaseStyle->{Deployed -> True}]} }, BaselinePosition->{1, 1}, GridBoxAlignment->{"Columns" -> {{Left}}}, GridBoxItemSize->{ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Column"]}, Dynamic[WolframAlphaClient`Private`open$1402], BaseStyle->{Deployed -> True}, ImageSize->Automatic], DynamicModuleValues:>{}], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)
O
Mathematica
gera gráficos 2D e 3D baseado no número de variáveis.
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X
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RowBox[{"sin", "(", RowBox[{"x", " ", "y"}], ")"}]}}, GridBoxBackground -> {"Columns" -> { GrayLevel[0.949], None}, "Rows" -> {{None}}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxDividers -> {"Columns" -> { GrayLevel[0.84], GrayLevel[0.84], GrayLevel[0.84]}, "Rows" -> {{ GrayLevel[0.84]}}, "RowsIndexed" -> { 1 -> GrayLevel[0.84], -1 -> GrayLevel[0.84]}}, GridBoxSpacings -> { "Columns" -> {2, 2, 2}, "Rows" -> {{1}}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Baseline}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " | "]], LineSpacing -> {1, 0, 1.5}, LineIndent -> 0]}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxSpacings -> {"Columns" -> {{ AbsoluteThickness[-1]}}, "Rows" -> {{0}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " | "]], PolynomialForm[#, TraditionalOrder -> 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XMLElement[ "dataformats", {}, { "computabledata,formatteddata,formuladata"}]}]}], aux1$$ = { True, False, {False}}, aux2$$ = {True, False, {False}}, Typeset`asyncpods$$ = {}, Typeset`nonpods$$ = {}, Typeset`initdone$$ = True, Typeset`queryinfo$$ = { "success" -> "true", "error" -> "false", "numpods" -> "2", "datatypes" -> "", "timedout" -> "", "timing" -> "2.442", "parsetiming" -> "1.964", "parsetimedout" -> "false", "recalculate" -> "", "version" -> "1.1"}, Typeset`sessioninfo$$ = { "TimeZone" -> -6., "Date" -> {2010, 11, 7, 22, 58, 51.1447448`9.461375865980715}, "Line" -> 34, "SessionID" -> 22925532104442001849}, Typeset`showpods$$ = {1, 2}, Typeset`failedpods$$ = {}, Typeset`chosen$$ = { "Result", "Result", 1, 1, "Input", "Show[RegionPlot[x^2 + y^2 < 2 && x^3 < 1 + y^3, {x, -2.2, 2.2}, \ {y, -2.3, 2.1}, {GridLines -> Automatic, GridLinesStyle -> \ Dashed}]]"}, Typeset`open$$ = False, Typeset`newq$$ = "plot x^2+y^2<2 and x^3-y^3<1 with dashed grid lines"}, DynamicBox[ToBoxes[ 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Misture cores livremente para obter um tom único.
X
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X
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XMLElement[ "link", { "url" -> "http://reference.wolfram.com/mathematica/ref/\ Graphics.html", "text" -> "Mathematica definition of Graphics"}, \ {}]}]}]}], pod2$$ = XMLElement[ "pod", {"title" -> "Result", "scanner" -> "MInput", "id" -> "Result", "position" -> "200", "error" -> "false", "numsubpods" -> "1", "primary" -> "true"}, { XMLElement["subpod", {"title" -> "", "primary" -> "true"}, { XMLElement[ "minput", {}, { "Graphics[{RGBColor[0.6470588235294118, 0, \ 0.2549019607843137], Disk[]}]"}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ StyleBox[ StyleBox[ GraphicsBox[{ RGBColor[0.6470588235294118, 0, 0.2549019607843137], DiskBox[{0, 0}]}], ShowStringCharacters -> True], Graphics3DBoxOptions -> {Boxed -> False}, StripOnInput -> False], TraditionalForm]], "Output"]}], XMLElement[ "dataformats", {}, { "computabledata,formatteddata,formuladata"}]}]}], aux1$$ = { True, False, {False}}, aux2$$ = {True, False, {False}}, Typeset`asyncpods$$ = {}, Typeset`nonpods$$ = { XMLElement["assumptions", {"count" -> "1"}, { XMLElement[ "assumption", { "type" -> "SubCategory", "word" -> "red", "count" -> "2"}, { XMLElement[ "value", { "name" -> "{Mathematica, Red}", "desc" -> "basic red", "input" -> "*DPClash.ColorE.red-_**Mathematica.Red--"}, \ {}], XMLElement[ "value", { "name" -> "{HTML, Red}", "desc" -> "HTML red", "input" -> "*DPClash.ColorE.red-_**HTML.Red--"}, {}]}]}]}, Typeset`initdone$$ = True, Typeset`queryinfo$$ = { "success" -> "true", "error" -> "false", "numpods" -> "2", "datatypes" -> "", "timedout" -> "", "timing" -> "0.695", "parsetiming" -> "0.522", "parsetimedout" -> "false", "recalculate" -> "", "version" -> "1.1"}, Typeset`sessioninfo$$ = { "TimeZone" -> -6., "Date" -> {2010, 11, 10, 23, 12, 48.2447943`9.436025317291353}, "Line" -> 74, "SessionID" -> 22927196902227628400}, Typeset`showpods$$ = {1, 2}, Typeset`failedpods$$ = {}, Typeset`chosen$$ = { "Result", "Result", 1, 1, "Input", "Graphics[{RGBColor[0.6470588235294118, 0, 0.2549019607843137], \ Disk[]}]"}, Typeset`open$$ = False, Typeset`newq$$ = "show disk with red+indigo"}, DynamicBox[ToBoxes[ AlphaIntegration`FormatAlphaResults[ Dynamic[{1, {pod1$$, pod2$$}, {aux1$$, aux2$$}, Typeset`chosen$$, Typeset`open$$, Typeset`elements$$, Typeset`q$$, Typeset`opts$$, Typeset`nonpods$$, Typeset`queryinfo$$, Typeset`sessioninfo$$, Typeset`showpods$$, Typeset`failedpods$$, Typeset`newq$$}]], StandardForm], ImageSizeCache->{407., {88., 18.}}, TrackedSymbols:>{Typeset`showpods$$, Typeset`failedpods$$}], DynamicModuleValues:>{}, Initialization:>If[ Not[Typeset`initdone$$], WolframAlphaClient`Private`doAsyncUpdates[ Hold[{pod1$$, pod2$$}], Typeset`asyncpods$$, Dynamic[Typeset`failedpods$$]]; Typeset`asyncpods$$ = {}; Typeset`\ initdone$$ = True], SynchronousInitialization->False], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)
Com apenas algumas palavras, produza estruturas complexas e veja o código exato do
Mathematica
.
X
\!\(\* NamespaceBox["WolframAlphaQueryResults", DynamicModuleBox[{Typeset`q$$ = "dini's surface", Typeset`opts$$ = { AppearanceElements -> { "Extrusion", "Warnings", "Assumptions", "Pods"}, Asynchronous -> All, Method -> {"ExtrusionChosen" -> { "PlotPod:Surface", "Example plot", 1, 1, "Input", "ParametricPlot3D[{Cos[u] Sin[v], Sin[u] Sin[v], 0.2 u + \ Cos[v] + Log[Tan[0.5 v]]}, {u, 0, 4 Pi}, {v, 0.001, 2}, {PlotPoints \ -> 10, MaxRecursion -> Automatic}, PlotLabel -> \ TextCell[Style[Row[{Row[{Style[\"a\", Italic] == 1, \", \"}], \ Row[{Style[\"b\", Italic] == 0.2}]}], GrayLevel[0.5]], PageWidth -> \ 129, TextAlignment -> Center], PlotStyle -> Opacity[0.6], \ ColorFunction -> (Blend[{RGBColor[0.6274509803921569, \ 0.2345159075303273, 0.2401159685664149], RGBColor[1., \ 0.6866712443732357, 0.35887693598840315], \ RGBColor[0.9940794995040818, 1., 0.5573968108644236], GrayLevel[1]}, \ #1] & ), Boxed -> False, Axes -> None, Mesh -> Automatic]"}, "Formats" -> { "cell", "minput", "moutput", "msound", "dataformats"}}}, Typeset`elements$$ = { "Extrusion", "Warnings", "Assumptions", "Pods"}, pod1$$ = XMLElement[ "pod", {"title" -> "Input interpretation", "scanner" -> "Identity", "id" -> "Input", "position" -> "100", "error" -> "false", "numsubpods" -> "1"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement["minput", {}, {}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ TagBox[ FormBox[ TagBox[ FormBox[ FormBox[ StyleBox[ TemplateBox[{ TagBox[ TagBox["\"Dini's surface\"", TagBoxWrapper["Entity" -> {"Surface", "DinisSurface"}]], Identity], StyleBox[ RowBox[{"\"(\"", "", "\"surface\"", "", "\")\""}], LinebreakAdjustments -> {1, 100, 1, 0, 100}, LineIndent -> 0, GrayLevel[0.6], StripOnInput -> False]}, "Row", DisplayFunction -> (RowBox[{#, " ", #2}]& ), InterpretationFunction -> (RowBox[{ StyleBox["Row", FontFamily -> "Bitstream Vera Sans", FontSize -> -1 + Inherited], "[", RowBox[{ RowBox[{"{", RowBox[{#, ",", #2}], "}"}], ",", "\" \""}], "]"}]& )], LinebreakAdjustments -> {1, 100, 1, 0, 100}, LineIndent -> 0, StripOnInput -> False], TraditionalForm], TraditionalForm], Format[#, TraditionalForm]& ], TraditionalForm], PolynomialForm[#, TraditionalOrder -> False]& ], TraditionalForm]], "Output"]}], XMLElement["dataformats", {}, {}]}]}], pod2$$ = XMLElement[ "pod", {"title" -> "Example plot", "scanner" -> "Data", "id" -> "PlotPod:Surface", "position" -> "200", "error" -> "false", "numsubpods" -> "1"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement[ "minput", {}, { "ParametricPlot3D[{Cos[u] Sin[v], Sin[u] Sin[v], 0.2 u + \ Cos[v] + Log[Tan[0.5 v]]}, {u, 0, 4 Pi}, {v, 0.001, 2}, {PlotPoints \ -> 10, MaxRecursion -> Automatic}, PlotLabel -> \ TextCell[Style[Row[{Row[{Style[\"a\", Italic] == 1, \", \"}], \ Row[{Style[\"b\", Italic] == 0.2}]}], GrayLevel[0.5]], PageWidth -> \ 129, TextAlignment -> Center], PlotStyle -> Opacity[0.6], \ ColorFunction -> (Blend[{RGBColor[0.6274509803921569, \ 0.2345159075303273, 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"computabledata,formatteddata,formuladata"}]}]}], pod7$$ = XMLElement[ "pod", {"title" -> "Properties", "scanner" -> "Data", "id" -> "PropertiesPod:Surface", "position" -> "700", "error" -> "false", "numsubpods" -> "1"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ StyleBox[ RowBox[{ StyleBox["\"constant (Gaussian) curvature surface\"", LinebreakAdjustments -> {1, 100, 1, 0, 100}, LineIndent -> 0, StripOnInput -> False], "", StyleBox["\" | \"", GrayLevel[0.6], StripOnInput -> False], StyleBox["\"surface of revolution\"", LinebreakAdjustments -> {1, 100, 1, 0, 100}, LineIndent -> 0, StripOnInput -> False]}], LinebreakAdjustments -> {1, 10, 10000, 0, 100}, LineIndent -> 0], TraditionalForm]], "Output"]}], XMLElement["dataformats", {}, {"computabledata,formatteddata"}]}]}], aux1$$ = {True, False, {False}}, aux2$$ = {True, False, {False}}, aux3$$ = {True, False, {False}}, aux4$$ = {True, False, {False}}, aux5$$ = {True, False, {False}}, aux6$$ = {True, False, {False}}, aux7$$ = {True, False, {False}}, Typeset`asyncpods$$ = {}, Typeset`nonpods$$ = { XMLElement["sources", {"count" -> "1"}, { XMLElement[ "source", { "url" -> "http://www.wolframalpha.com/sources/\ SurfaceSourceInformationNotes.html", "text" -> "Surface"}, {}]}]}, Typeset`initdone$$ = True, Typeset`queryinfo$$ = { "success" -> "true", "error" -> "false", "numpods" -> "7", "datatypes" -> "Surface", "timedout" -> "", "timing" -> "0.636", "parsetiming" -> "0.045", "parsetimedout" -> "false", "recalculate" -> "", "version" -> "1.1"}, Typeset`sessioninfo$$ = { "TimeZone" -> -6., "Date" -> {2010, 11, 8, 13, 6, 31.0908569`9.245207596473245}, "Line" -> 115, "SessionID" -> 22925844959973191216}, Typeset`showpods$$ = {1, 2, 3, 4, 5, 6, 7}, Typeset`failedpods$$ = {}, Typeset`chosen$$ = { "PlotPod:Surface", "Example plot", 1, 1, "Input", "ParametricPlot3D[{Cos[v] Sech[u], Sech[u] Sin[v], u - 1. \ Tanh[u]}, {u, -3.5, 3.5}, {v, 0, 2 Pi}, PlotStyle -> Opacity[0.6], \ ColorFunction -> (Blend[{RGBColor[0.6274509803921569, \ 0.2345159075303273, 0.2401159685664149], RGBColor[1., \ 0.6866712443732357, 0.35887693598840315], \ RGBColor[0.9940794995040818, 1., 0.5573968108644236], GrayLevel[1]}, \ #1] & ), Boxed -> False, Axes -> None, Mesh -> Automatic, ImageSize \ -> {Automatic, 220}, Method -> {\"ShrinkWrap\" -> True}]"}, Typeset`open$$ = False, Typeset`newq$$ = "pseudosphere"}, DynamicBox[ToBoxes[ AlphaIntegration`FormatAlphaResults[ Dynamic[{1, { pod1$$, pod2$$, pod3$$, pod4$$, pod5$$, pod6$$, pod7$$}, { aux1$$, aux2$$, aux3$$, aux4$$, aux5$$, aux6$$, aux7$$}, Typeset`chosen$$, Typeset`open$$, Typeset`elements$$, Typeset`q$$, Typeset`opts$$, Typeset`nonpods$$, Typeset`queryinfo$$, Typeset`sessioninfo$$, Typeset`showpods$$, Typeset`failedpods$$, Typeset`newq$$}]], StandardForm], ImageSizeCache->{415., {132., 18.}}, TrackedSymbols:>{Typeset`showpods$$, Typeset`failedpods$$}], DynamicModuleValues:>{}, Initialization:>If[ Not[Typeset`initdone$$], WolframAlphaClient`Private`doAsyncUpdates[ Hold[{pod1$$, pod2$$, pod3$$, pod4$$, pod5$$, pod6$$, pod7$$}], Typeset`asyncpods$$, Dynamic[Typeset`failedpods$$]]; Typeset`asyncpods$$ = {}; Typeset`\ initdone$$ = True], SynchronousInitialization->False], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)
Use
(
no começo da célula de entrada) para adicionar barras deslizantes quando plotando funções com duas variáveis.
X
plot sinxy
Você pode obter gráficos interativos para diversos dados científicos e matemáticos.
X
\!\(\* NamespaceBox["WolframAlphaQueryResults", DynamicModuleBox[{Typeset`q$$ = "figure eight knot and trefoil knot", Typeset`opts$$ = { AppearanceElements -> { "Extrusion", "Warnings", "Assumptions", "Pods"}, Asynchronous -> All, Method -> {"ExtrusionChosen" -> { "Input", "Input interpretation", 1, 1, "Input", "{KnotData[\"FigureEight\"], KnotData[\"Trefoil\"]}"}, "Formats" -> { "cell", "minput", "moutput", "msound", "dataformats"}}}, Typeset`elements$$ = { "Extrusion", "Warnings", "Assumptions", "Pods"}, pod1$$ = XMLElement[ "pod", {"title" -> "Input interpretation", "scanner" -> "Identity", "id" -> "Input", "position" -> "100", "error" -> "false", "numsubpods" -> "1"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement[ "minput", {}, { "{KnotData[\"FigureEight\"], KnotData[\"Trefoil\"]}"}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ TagBox[ StyleBox[ RowBox[{ FormBox[ TagBox[ FormBox[ FormBox[ TagBox[ TagBox["\"figure eight knot\"", 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{"title" -> ""}, { XMLElement["cell", {"compressed" -> True, "string" -> False}, { Cell[ BoxData[ FormBox[ StyleBox[ TagBox[ GridBox[{{ TagBox[ PaneBox["\"\"", BaseStyle -> {{ BaselinePosition -> Baseline, FontColor -> GrayLevel[0.3]}, LineSpacing -> {0.9, 0, 1.5}, LinebreakAdjustments -> {1, 10, 10000, 0, 100}, TextAlignment -> Center}, BaselinePosition -> Baseline], TagBoxWrapper["Label"]], TagBox[ PaneBox[ TagBox[ TagBox["\"figure eight knot\"", TagBoxWrapper["Entity" -> {KnotData, "FigureEight"}]], Identity], BaseStyle -> {{ BaselinePosition -> Baseline, FontColor -> GrayLevel[0.3]}, LineSpacing -> {0.9, 0, 1.5}, LinebreakAdjustments -> {1, 10, 10000, 0, 100}, TextAlignment -> Center}, BaselinePosition -> Baseline], TagBoxWrapper["Label"]], TagBox[ PaneBox[ TagBox[ TagBox["\"trefoil\"", TagBoxWrapper["Entity" -> {KnotData, "Trefoil"}]], Identity], BaseStyle -> {{ BaselinePosition -> Baseline, FontColor -> GrayLevel[0.3]}, LineSpacing -> {0.9, 0, 1.5}, LinebreakAdjustments -> {1, 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TagBoxWrapper["Label"]], RowBox[{ SuperscriptBox["x", "2"], "+", FractionBox["1", SuperscriptBox["x", "2"]], "-", "x", "-", FractionBox["1", "x"], "+", "1"}], RowBox[{ RowBox[{"-", FractionBox["1", SuperscriptBox["x", "4"]]}], "+", FractionBox["1", SuperscriptBox["x", "3"]], "+", FractionBox["1", "x"]}]}, { TagBox[ PaneBox[ TagBox["\"Kauffman polynomial\"", Identity], BaseStyle -> {{ BaselinePosition -> Baseline, FontColor -> GrayLevel[0.3]}, LineSpacing -> {0.9, 0, 1.5}, LinebreakAdjustments -> {1, 10, 10000, 0, 100}, TextAlignment -> Left}, BaselinePosition -> Baseline], TagBoxWrapper["Label"]], RowBox[{ RowBox[{ SuperscriptBox["x", "2"], " ", SuperscriptBox["y", "2"]}], "+", FractionBox[ SuperscriptBox["y", "2"], SuperscriptBox["x", "2"]], "-", SuperscriptBox["x", "2"], "-", FractionBox["1", SuperscriptBox["x", "2"]], "+", RowBox[{"x", " ", SuperscriptBox["y", "3"]}], "+", FractionBox[ SuperscriptBox["y", "3"], "x"], "-", RowBox[{"x", " ", "y"}], "-", FractionBox["y", "x"], "+", 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X
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In[1]:=
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In[2]:=
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In[3]:=
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