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0.}}, {{1.2566370614359172`, 0.}}, {{ 1.8849555921538759`, 0.}}, {{2.5132741228718345`, 0.}}, {{ 3.141592653589793, 0.}}, {{3.7699111843077517`, 0.}}, {{ 4.39822971502571, 0.}}, {{5.026548245743669, 0.}}, {{5.654866776461628, 0.}}, {{6.283185307179586, 0.}}}]}, { {RGBColor[1, 0, 0], PointSize[0.012833333333333334`], AbsoluteThickness[ 1.6]}, {}}, { {RGBColor[1, 0, 0], PointSize[0.012833333333333334`], AbsoluteThickness[ 1.6]}, {}}}, {{}, {}}}}, AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], Axes->{True, True}, AxesLabel->{None, None}, AxesOrigin->{Automatic, 0}, DisplayFunction->Identity, Frame->{{False, False}, {False, False}}, FrameLabel->{{None, None}, {None, None}}, FrameTicks->{{Automatic, Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, Charting`ScaledFrameTicks[{Identity, Identity}]}}, GridLines->{None, None}, GridLinesStyle->Directive[ GrayLevel[0.5, 0.4]], ImagePadding->All, ImageSize->Large, Method->{ "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> { "Version" -> 1.2, "TrackMousePosition" -> {True, False}, "Effects" -> { "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, "Droplines" -> { "freeformCursorMode" -> True, "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ (Identity[#]& )[ Part[#, 1]], (Identity[#]& )[ Part[#, 2]]}& ), "CopiedValueFunction" -> ({ (Identity[#]& )[ Part[#, 1]], (Identity[#]& )[ Part[#, 2]]}& )}}, PlotRange->{All, All}, PlotRangeClipping->True, PlotRangePadding->{{ Scaled[0.02], Scaled[0.02]}, { Scaled[0.05], Scaled[0.05]}}, Ticks->{Automatic, Automatic}]], "Output", CellChangeTimes->{{3.76456287388422*^9, 3.764562881547727*^9}, 3.764562932530139*^9, 3.764562981529163*^9}, CellLabel->"Out[38]=",ExpressionUUID->"66c96ffe-6c76-4900-8672-080a253bf775"] }, Open ]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["", "SlideShowNavigationBar", CellTags-> "SlideShowHeader",ExpressionUUID->"ced35eef-05a9-4c5b-beeb-93fbec39c1d7"], Cell[CellGroupData[{ Cell["Runge Phenomenon", "Section", CellChangeTimes->{{3.7645630223709583`*^9, 3.7645630237789793`*^9}, { 3.7645637902066517`*^9, 3.7645637930981417`*^9}},ExpressionUUID->"0827e0f6-3063-41ef-99a7-\ bf91ae511d9d"], Cell["\<\ The example above is misleading. Let us consider another example. (Notice \ that it is misleading in its own way!) 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