Интеграция с Wolfram|Alpha

Списки и матрицы 

In[1]:=

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Out[1]//MatrixForm=

In[2]:=

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"computabledata,formatteddata,numberdata"}]}]}], pod8$$ = XMLElement[ "pod", {"title" -> "Inverse", "scanner" -> "RandomLookup", "id" -> "Inverse", "position" -> "800", "error" -> "false", "numsubpods" -> "1"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement[ "minput", {}, { "Inverse[{{0.21723029498080781, 0.3192198291417565, \ 0.12510412267996918, 0.11419106379574107, 0.212967324403891}, \ {0.064866078192797, 0.36283678384160334, 0.20885724950313267, \ 0.3486990513346304, 0.6377208881104905}, {0.5567909827242434, \ 0.6887723071757315, 0.7692519135310318, 0.12813805169984693, \ 0.3905008402850012}, {0.8760816939214733, 0.6834533783612793, \ 0.860838432137973, 0.5978226986551036, 0.2774968085024099}, \ {0.1452109823855825, 0.23461363502258203, 0.7125507968476714, \ 0.7710422434774173, 0.9394937400207461}}]"}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ RowBox[{"(", "", GridBox[{{"26.831578984549825`", RowBox[{"-", 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False, {False}}, aux4$$ = {True, False, {False}}, aux5$$ = { True, False, {False}}, aux6$$ = {True, False, {False}}, aux7$$ = { True, False, {False}}, aux8$$ = {True, False, {False}}, Typeset`asyncpods$$ = {}, Typeset`nonpods$$ = {}, Typeset`initdone$$ = True, Typeset`queryinfo$$ = { "success" -> "true", "error" -> "false", "numpods" -> "8", "datatypes" -> "RandomNumber", "timedout" -> "", "timing" -> "0.451", "parsetiming" -> "0.199", "parsetimedout" -> "false", "recalculate" -> "", "version" -> "1.1"}, Typeset`sessioninfo$$ = { "TimeZone" -> -5., "Date" -> {2010, 11, 4, 21, 3, 6.2808185`8.550591216352109}, "Line" -> 92, "SessionID" -> 22923772711736059799}, Typeset`showpods$$ = {1, 2, 3, 4, 5, 6, 7, 8}, Typeset`failedpods$$ = {}, Typeset`chosen$$ = { "Result", "Result", 1, 1, "Output", "{{0.21723029498080781, 0.3192198291417565, 0.12510412267996918, \ 0.11419106379574107, 0.212967324403891}, {0.064866078192797, \ 0.36283678384160334, 0.20885724950313267, 0.3486990513346304, \ 0.6377208881104905}, {0.5567909827242434, 0.6887723071757315, \ 0.7692519135310318, 0.12813805169984693, 0.3905008402850012}, \ {0.8760816939214733, 0.6834533783612793, 0.860838432137973, \ 0.5978226986551036, 0.2774968085024099}, {0.1452109823855825, \ 0.23461363502258203, 0.7125507968476714, 0.7710422434774173, \ 0.9394937400207461}}"}, Typeset`open$$ = False, Typeset`newq$$ = "random matrix 5"}, DynamicBox[ToBoxes[ AlphaIntegration`FormatAlphaResults[ Dynamic[{1, { pod1$$, pod2$$, pod3$$, pod4$$, pod5$$, pod6$$, pod7$$, pod8$$}, { aux1$$, aux2$$, aux3$$, aux4$$, aux5$$, aux6$$, aux7$$, aux8$$}, Typeset`chosen$$, Typeset`open$$, Typeset`elements$$, Typeset`q$$, Typeset`opts$$, Typeset`nonpods$$, Typeset`queryinfo$$, Typeset`sessioninfo$$, Typeset`showpods$$, Typeset`failedpods$$, Typeset`newq$$}]], StandardForm], ImageSizeCache->{384., {132., 18.}}, TrackedSymbols:>{Typeset`showpods$$, Typeset`failedpods$$}], DynamicModuleValues:>{}, Initialization:>If[ Not[Typeset`initdone$$], WolframAlphaClient`Private`doAsyncUpdates[ Hold[{pod1$$, pod2$$, pod3$$, pod4$$, pod5$$, pod6$$, pod7$$, pod8$$}], Typeset`asyncpods$$, Dynamic[Typeset`failedpods$$]]; Typeset`asyncpods$$ = {}; Typeset`\ initdone$$ = True], SynchronousInitialization->False], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)

Out[2]=

Обращение к предыдущему результату с помощью Out (%).

In[3]:=

X \!\(\* NamespaceBox["WolframAlphaQueryParseResults", DynamicModuleBox[{Typeset`q$$ = "eigenvalues %2", Typeset`newq$$ = "eigenvalues %2", Typeset`chosen$$ = "Eigenvalues[Out[2]]"}, PaneSelectorBox[{False-> DynamicModuleBox[{WolframAlphaClient`Private`show$$ = False, WolframAlphaClient`Private`assumptionsQ$$ = True}, TagBox[ FrameBox[ TagBox[GridBox[{ { InputFieldBox[Dynamic[Typeset`newq$$], String, Appearance->None, BaseStyle->{"CalculateInput"}, ContinuousAction->True, Enabled->True, FieldSize->{{1, 40}, {1, DirectedInfinity[1]}}], ButtonBox[ TagBox[ TooltipBox[ StyleBox["\<\"»\"\>", StripOnInput->False, LineColor->RGBColor[1, 0.5, 0], FrontFaceColor->RGBColor[1, 0.5, 0], BackFaceColor->RGBColor[1, 0.5, 0], GraphicsColor->RGBColor[1, 0.5, 0], FontColor->RGBColor[1, 0.5, 0]], DynamicBox[ ToBoxes[ FEPrivate`FrontEndResource["WAStrings", "InterpretationAssumptions"], StandardForm]]], Annotation[#, Dynamic[ FEPrivate`FrontEndResource["WAStrings", "InterpretationAssumptions"]], "Tooltip"]& ], Appearance->None, BaselinePosition->Baseline, ButtonFunction:>( WolframAlphaClient`Private`open$\ 1209 = True; WolframAlphaClient`Private`extrudeFromFastParse[ "eigenvalues %2", Defer[ Eigenvalues[ Out[2]]], "Fast parse"]; WolframAlphaClient`Private`open$1209 = False), ContentPadding->False, Evaluator->Automatic, Method->"Queued"], 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$$], ImageSize->All], Appearance->None, ButtonFunction:>If[ Or[ CurrentValue["OptionKey"], CurrentValue["AltKey"]], SelectionMove[ ButtonNotebook[], All, ButtonCell, AutoScroll -> False]; NotebookWrite[ ButtonNotebook[], Cell[Typeset`newq$$, "WolframAlphaShort", FormatType -> "TextForm"], All], WolframAlphaClient`Private`open$\ 1209 = True; WolframAlphaClient`Private`extrudeFromFastParse[ "eigenvalues %2", Defer[ Eigenvalues[ Out[2]]], "Fast parse"]; WolframAlphaClient`Private`open$1209 = False], Evaluator->Automatic, Method->"Queued"], Alignment->Right, StripOnInput->False]}, { PaneBox[ TagBox[ TooltipBox[ ButtonBox[ PaneSelectorBox[{False-> StyleBox[ RowBox[{"Eigenvalues", "[", "%2", "]"}], StripOnInput->False, NumberMarks->False], True-> StyleBox[ RowBox[{"Eigenvalues", "[", "%2", "]"}], 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[{"Eigenvalues", "[", "%2", "]"}]], "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]", "\[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$$ = True}, TagBox[ FrameBox[ TagBox[GridBox[{ { InputFieldBox[Dynamic[Typeset`newq$$], String, Appearance->None, BaseStyle->{"CalculateInput"}, ContinuousAction->True, Enabled->True, FieldSize->{{1, 40}, {1, DirectedInfinity[1]}}], ButtonBox[ TagBox[ TooltipBox[ StyleBox["\<\"»\"\>", StripOnInput->False, LineColor->RGBColor[1, 0.5, 0], FrontFaceColor->RGBColor[1, 0.5, 0], BackFaceColor->RGBColor[1, 0.5, 0], GraphicsColor->RGBColor[1, 0.5, 0], FontColor->RGBColor[1, 0.5, 0]], DynamicBox[ ToBoxes[ FEPrivate`FrontEndResource["WAStrings", "InterpretationAssumptions"], StandardForm]]], Annotation[#, Dynamic[ FEPrivate`FrontEndResource["WAStrings", "InterpretationAssumptions"]], "Tooltip"]& ], Appearance->None, BaselinePosition->Baseline, ButtonFunction:>( WolframAlphaClient`Private`open$\ 1209 = True; WolframAlphaClient`Private`extrudeFromFastParse[ "eigenvalues %2", Defer[ Eigenvalues[ Out[2]]], "Fast parse"]; WolframAlphaClient`Private`open$1209 = False), ContentPadding->False, Evaluator->Automatic, Method->"Queued"], 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$$], ImageSize->All], Appearance->None, ButtonFunction:>If[ Or[ CurrentValue["OptionKey"], CurrentValue["AltKey"]], SelectionMove[ ButtonNotebook[], All, ButtonCell, AutoScroll -> False]; NotebookWrite[ ButtonNotebook[], Cell[Typeset`newq$$, "WolframAlphaShort", FormatType -> "TextForm"], All], WolframAlphaClient`Private`open$\ 1209 = True; WolframAlphaClient`Private`extrudeFromFastParse[ "eigenvalues %2", Defer[ Eigenvalues[ Out[2]]], "Fast parse"]; WolframAlphaClient`Private`open$1209 = False], Evaluator->Automatic, Method->"Queued"], Alignment->Right, StripOnInput->False]}, { PaneBox[ TagBox[ TooltipBox[ ButtonBox[ PaneSelectorBox[{False-> StyleBox[ RowBox[{"Eigenvalues", "[", "%2", "]"}], StripOnInput->False, NumberMarks->False], True-> StyleBox[ RowBox[{"Eigenvalues", "[", "%2", "]"}], 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[{"Eigenvalues", "[", "%2", "]"}]], "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]", "\[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$1209], BaseStyle->{Deployed -> True}, ImageSize->Automatic], DynamicModuleValues:>{}], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)

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X Column[Eigenvalues[Table[\!\(\* NamespaceBox["LinguisticAssistant", DynamicModuleBox[{WolframAlphaClient`Private`query$$ = "5 random numbers", WolframAlphaClient`Private`boxes$$ = RowBox[{"RandomReal", "[", RowBox[{ RowBox[{"{", "}"}], ",", " ", "5"}], "]"}], WolframAlphaClient`Private`allassumptions$$ = {{ "type" -> "Function", "word" -> "random number", "count" -> "2", "Values" -> {{ "name" -> "RandomReal", "desc" -> "RandomReal", "input" -> "*FunClash.random+number-_*RandomReal.\ RandomInteger-"}, { "name" -> "RandomInteger", "desc" -> "RandomInteger", "input" -> "*FunClash.random+number-_*RandomInteger.\ RandomReal-"}}}}, WolframAlphaClient`Private`assumptions$$ = {}, WolframAlphaClient`Private`open$$ = {1}}, DynamicBox[ToBoxes[ AlphaIntegration`LinguisticAssistantBoxes["", 1, Dynamic[WolframAlphaClient`Private`query$$], Dynamic[WolframAlphaClient`Private`boxes$$], Dynamic[WolframAlphaClient`Private`allassumptions$$], Dynamic[WolframAlphaClient`Private`assumptions$$], Dynamic[WolframAlphaClient`Private`open$$]], StandardForm], ImageSizeCache->{159., {11., 17.}}], DynamicModuleValues:>{}], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\), {k, 5}]]]

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X \!\(\* NamespaceBox["LinguisticAssistant", DynamicModuleBox[{WolframAlphaClient`Private`query$$ = "5 random numbers", WolframAlphaClient`Private`boxes$$ = RowBox[{"RandomReal", "[", RowBox[{ RowBox[{"{", "}"}], ",", " ", "5"}], "]"}], WolframAlphaClient`Private`allassumptions$$ = {{ "type" -> "Function", "word" -> "random number", "count" -> "2", "Values" -> {{ "name" -> "RandomReal", "desc" -> "RandomReal", "input" -> "*FunClash.random+number-_*RandomReal.\ RandomInteger-"}, { "name" -> "RandomInteger", "desc" -> "RandomInteger", "input" -> "*FunClash.random+number-_*RandomInteger.\ RandomReal-"}}}}, WolframAlphaClient`Private`assumptions$$ = {}, WolframAlphaClient`Private`open$$ = {1}}, DynamicBox[ToBoxes[ AlphaIntegration`LinguisticAssistantBoxes["", 1, Dynamic[WolframAlphaClient`Private`query$$], Dynamic[WolframAlphaClient`Private`boxes$$], Dynamic[WolframAlphaClient`Private`allassumptions$$], Dynamic[WolframAlphaClient`Private`assumptions$$], Dynamic[WolframAlphaClient`Private`open$$]], StandardForm], ImageSizeCache->{159., {11., 17.}}], DynamicModuleValues:>{}], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)/\!\(\* NamespaceBox["LinguisticAssistant", DynamicModuleBox[{WolframAlphaClient`Private`query$$ = "5 random numbers", WolframAlphaClient`Private`boxes$$ = RowBox[{"RandomReal", "[", RowBox[{ RowBox[{"{", "}"}], ",", " ", "5"}], "]"}], WolframAlphaClient`Private`allassumptions$$ = {{ "type" -> "Function", "word" -> "random number", "count" -> "2", "Values" -> {{ "name" -> "RandomReal", "desc" -> "RandomReal", "input" -> "*FunClash.random+number-_*RandomReal.\ RandomInteger-"}, { "name" -> "RandomInteger", "desc" -> "RandomInteger", "input" -> "*FunClash.random+number-_*RandomInteger.\ RandomReal-"}}}}, WolframAlphaClient`Private`assumptions$$ = {}, WolframAlphaClient`Private`open$$ = {1}}, DynamicBox[ToBoxes[ AlphaIntegration`LinguisticAssistantBoxes["", 1, Dynamic[WolframAlphaClient`Private`query$$], Dynamic[WolframAlphaClient`Private`boxes$$], Dynamic[WolframAlphaClient`Private`allassumptions$$], Dynamic[WolframAlphaClient`Private`assumptions$$], Dynamic[WolframAlphaClient`Private`open$$]], StandardForm], ImageSizeCache->{159., {11., 17.}}], DynamicModuleValues:>{}], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\) + \!\(\* NamespaceBox["LinguisticAssistant", DynamicModuleBox[{WolframAlphaClient`Private`query$$ = "5 random numbers", WolframAlphaClient`Private`boxes$$ = RowBox[{"RandomReal", "[", RowBox[{ RowBox[{"{", "}"}], ",", " ", "5"}], "]"}], WolframAlphaClient`Private`allassumptions$$ = {{ "type" -> "Function", "word" -> "random number", "count" -> "2", "Values" -> {{ "name" -> "RandomReal", "desc" -> "RandomReal", "input" -> "*FunClash.random+number-_*RandomReal.\ RandomInteger-"}, { "name" -> "RandomInteger", "desc" -> "RandomInteger", "input" -> "*FunClash.random+number-_*RandomInteger.\ RandomReal-"}}}}, WolframAlphaClient`Private`assumptions$$ = {}, WolframAlphaClient`Private`open$$ = {1}}, DynamicBox[ToBoxes[ AlphaIntegration`LinguisticAssistantBoxes["", 1, Dynamic[WolframAlphaClient`Private`query$$], Dynamic[WolframAlphaClient`Private`boxes$$], Dynamic[WolframAlphaClient`Private`allassumptions$$], Dynamic[WolframAlphaClient`Private`assumptions$$], Dynamic[WolframAlphaClient`Private`open$$]], StandardForm], ImageSizeCache->{159., {11., 17.}}], DynamicModuleValues:>{}], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)

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X ListPlot[\!\(\* NamespaceBox["LinguisticAssistant", DynamicModuleBox[{WolframAlphaClient`Private`query$$ = "60 random numbers", WolframAlphaClient`Private`boxes$$ = RowBox[{"RandomReal", "[", RowBox[{ RowBox[{"{", "}"}], ",", " ", "60"}], "]"}], WolframAlphaClient`Private`allassumptions$$ = {{ "type" -> "Function", "word" -> "random number", "count" -> "2", "Values" -> {{ "name" -> "RandomReal", "desc" -> "RandomReal", "input" -> "*FunClash.random+number-_*RandomReal.\ RandomInteger-"}, { "name" -> "RandomInteger", "desc" -> "RandomInteger", "input" -> "*FunClash.random+number-_*RandomInteger.\ RandomReal-"}}}}, WolframAlphaClient`Private`assumptions$$ = {}, WolframAlphaClient`Private`open$$ = {1, 2}}, DynamicBox[ToBoxes[ AlphaIntegration`LinguisticAssistantBoxes["", 1, Dynamic[WolframAlphaClient`Private`query$$], Dynamic[WolframAlphaClient`Private`boxes$$], Dynamic[WolframAlphaClient`Private`allassumptions$$], Dynamic[WolframAlphaClient`Private`assumptions$$], Dynamic[WolframAlphaClient`Private`open$$]], StandardForm], ImageSizeCache->{166., {25., 30.}}], DynamicModuleValues:>{}], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\), PlotRange -> All, Filling -> Axis]

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X ListLinePlot[Abs[\!\(\* NamespaceBox["LinguisticAssistant", DynamicModuleBox[{WolframAlphaClient`Private`query$$ = "Fourier 1,2,1,4,2,3,5,2,3,5,2,3", WolframAlphaClient`Private`boxes$$ = RowBox[{"Fourier", "[", RowBox[{"{", RowBox[{"1", ",", " ", "2", ",", " ", "1", ",", " ", "4", ",", " ", "2", ",", " ", "3", ",", " ", "5", ",", " ", "2", ",", " ", "3", ",", " ", "5", ",", " ", "2", ",", " ", "3"}], "}"}], "]"}], WolframAlphaClient`Private`allassumptions$$ = {}, WolframAlphaClient`Private`assumptions$$ = {}, WolframAlphaClient`Private`open$$ = {1, 2}}, DynamicBox[ToBoxes[ AlphaIntegration`LinguisticAssistantBoxes["", 1, Dynamic[WolframAlphaClient`Private`query$$], Dynamic[WolframAlphaClient`Private`boxes$$], Dynamic[WolframAlphaClient`Private`allassumptions$$], Dynamic[WolframAlphaClient`Private`assumptions$$], Dynamic[WolframAlphaClient`Private`open$$]], StandardForm], ImageSizeCache->{351., {25., 30.}}], DynamicModuleValues:>{}], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)], Mesh -> All, PlotRange -> All]

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X ListLinePlot[Transpose[{\!\(\* NamespaceBox["LinguisticAssistant", DynamicModuleBox[{WolframAlphaClient`Private`query$$ = "1,2,3,4,5,6,7,8,9", WolframAlphaClient`Private`boxes$$ = RowBox[{"{", RowBox[{"1", ",", " ", "2", ",", " ", "3", ",", " ", "4", ",", " ", "5", ",", " ", "6", ",", " ", "7", ",", " ", "8", ",", " ", "9"}], "}"}], WolframAlphaClient`Private`allassumptions$$ = {}, WolframAlphaClient`Private`assumptions$$ = {}, WolframAlphaClient`Private`open$$ = {1, 2}}, DynamicBox[ToBoxes[ AlphaIntegration`LinguisticAssistantBoxes["", 1, Dynamic[WolframAlphaClient`Private`query$$], Dynamic[WolframAlphaClient`Private`boxes$$], Dynamic[WolframAlphaClient`Private`allassumptions$$], Dynamic[WolframAlphaClient`Private`assumptions$$], Dynamic[WolframAlphaClient`Private`open$$]], StandardForm], ImageSizeCache->{224., {25., 30.}}], DynamicModuleValues:>{}], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\), \!\(\* NamespaceBox["LinguisticAssistant", DynamicModuleBox[{WolframAlphaClient`Private`query$$ = "2,4,1,2,4,6,3,5,5", WolframAlphaClient`Private`boxes$$ = RowBox[{"{", RowBox[{"2", ",", " ", "4", ",", " ", "1", ",", " ", "2", ",", " ", "4", ",", " ", "6", ",", " ", "3", ",", " ", "5", ",", " ", "5"}], "}"}], WolframAlphaClient`Private`allassumptions$$ = {}, WolframAlphaClient`Private`assumptions$$ = {}, WolframAlphaClient`Private`open$$ = {1, 2}}, DynamicBox[ToBoxes[ AlphaIntegration`LinguisticAssistantBoxes["", 1, Dynamic[WolframAlphaClient`Private`query$$], Dynamic[WolframAlphaClient`Private`boxes$$], Dynamic[WolframAlphaClient`Private`allassumptions$$], Dynamic[WolframAlphaClient`Private`assumptions$$], Dynamic[WolframAlphaClient`Private`open$$]], StandardForm], ImageSizeCache->{224., {25., 30.}}], DynamicModuleValues:>{}], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)}], Mesh -> All]

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