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-rw-r--r--caselle_compare.nb580
-rw-r--r--new_schofield.nb42383
-rw-r--r--schofield.wl24
3 files changed, 23616 insertions, 19371 deletions
diff --git a/caselle_compare.nb b/caselle_compare.nb
index 7932af0..a64a48c 100644
--- a/caselle_compare.nb
+++ b/caselle_compare.nb
@@ -10,10 +10,10 @@
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diff --git a/new_schofield.nb b/new_schofield.nb
index e54bca2..1c49fd2 100644
--- a/new_schofield.nb
+++ b/new_schofield.nb
@@ -10,10 +10,10 @@
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+ DisplayFunction -> Identity, DisplayFunction -> Identity, AspectRatio ->
+ NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True},
+ AxesLabel -> {
+ FormBox["m", TraditionalForm],
+ FormBox[
+ "\"|\\!\\(\\*SuperscriptBox[SubscriptBox[\\(\[ScriptCapitalF]\\), \\(-\
+\\)], \\((m)\\)]\\)| / [(\\!\\(\\*SubscriptBox[\\(A\\), \\(0\\)]\\) / \[Pi]) \
+\\!\\(\\*SuperscriptBox[\\(b\\), \\(m\\\\ - \\\\ 1\\)]\\) \[CapitalGamma](m \
+- 1)]\"", TraditionalForm]}, AxesOrigin -> {0., 0.6}, DisplayFunction :>
+ Identity, Frame -> {{False, False}, {False, False}},
+ FrameLabel -> {{None, None}, {None, None}},
+ FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}},
+ GridLines -> {None, None}, GridLinesStyle -> Directive[
+ GrayLevel[0.5, 0.4]],
+ Method -> {
+ "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
+ "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+ Identity[
+ Part[#, 1]],
+ Identity[
+ Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+ Identity[
+ Part[#, 1]],
+ Identity[
+ Part[#, 2]]}& )}}, PlotRange -> {{0., 14.}, {0.6, 2}},
+ PlotRangeClipping -> True, PlotRangePadding -> {{
+ Scaled[0.02],
+ Scaled[0.02]}, {0, 0}}, Ticks -> {Automatic, Automatic}}],
+ FormBox[
+ FormBox[
+ TemplateBox[{
+ "1", "\"Numeric\"", "\"n = 2\"", "\"n = 3\"", "\"n = 4\"", "\"n = 5\"",
+ "\"n = 6\""}, "PointLegend", DisplayFunction -> (FormBox[
+ StyleBox[
+ StyleBox[
+ PaneBox[
+ TagBox[
+ GridBox[{{
+ TagBox[
+ GridBox[{{
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}, {
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #4}, {
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.528488, 0.470624, 0.701351],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.528488, 0.470624, 0.701351],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #5}, {
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.772079, 0.431554, 0.102387],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.772079, 0.431554, 0.102387],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #6}, {
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.363898, 0.618501, 0.782349],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.363898, 0.618501, 0.782349],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #7}},
+ GridBoxAlignment -> {
+ "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}},
+ AutoDelete -> False,
+ GridBoxDividers -> {
+ "Columns" -> {{False}}, "Rows" -> {{False}}},
+ GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}},
+ GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}},
+ AutoDelete -> False,
+ GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}],
+ "Grid"], Alignment -> Left, AppearanceElements -> None,
+ ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction ->
+ "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
+ FontFamily -> "Arial"}, Background -> Automatic, StripOnInput ->
+ False], TraditionalForm]& ),
+ InterpretationFunction :> (RowBox[{"PointLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.011000000000000001`", "]"}],
+ ",",
+ InterpretationBox[
+ ButtonBox[
+ TooltipBox[
+ GraphicsBox[{{
+ GrayLevel[0],
+ RectangleBox[{0, 0}]}, {
+ GrayLevel[0],
+ RectangleBox[{1, -1}]}, {
+ RGBColor[0.368417, 0.506779, 0.709798],
+ RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle ->
+ "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True,
+ FrameStyle ->
+ RGBColor[
+ 0.24561133333333335`, 0.3378526666666667,
+ 0.4731986666666667], FrameTicks -> None, PlotRangePadding ->
+ None, ImageSize ->
+ Dynamic[{
+ Automatic,
+ 1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+ Magnification])}]],
+ StyleBox[
+ RowBox[{"RGBColor", "[",
+ RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
+ "]"}], NumberMarks -> False]], Appearance -> None,
+ BaseStyle -> {}, BaselinePosition -> Baseline,
+ DefaultBaseStyle -> {}, ButtonFunction :>
+ With[{Typeset`box$ = EvaluationBox[]},
+ If[
+ Not[
+ AbsoluteCurrentValue["Deployed"]],
+ SelectionMove[Typeset`box$, All, Expression];
+ FrontEnd`Private`$ColorSelectorInitialAlpha = 1;
+ FrontEnd`Private`$ColorSelectorInitialColor =
+ RGBColor[0.368417, 0.506779, 0.709798];
+ FrontEnd`Private`$ColorSelectorUseMakeBoxes = True;
+ MathLink`CallFrontEnd[
+ FrontEnd`AttachCell[Typeset`box$,
+ FrontEndResource["RGBColorValueSelector"], {
+ 0, {Left, Bottom}}, {Left, Top},
+ "ClosingActions" -> {
+ "SelectionDeparture", "ParentChanged",
+ "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator ->
+ Automatic, Method -> "Preemptive"],
+ RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+ Selectable -> False], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.011000000000000001`", "]"}],
+ ",",
+ InterpretationBox[
+ ButtonBox[
+ TooltipBox[
+ GraphicsBox[{{
+ GrayLevel[0],
+ RectangleBox[{0, 0}]}, {
+ GrayLevel[0],
+ RectangleBox[{1, -1}]}, {
+ RGBColor[0.880722, 0.611041, 0.142051],
+ RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle ->
+ "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True,
+ FrameStyle ->
+ RGBColor[
+ 0.587148, 0.40736066666666665`, 0.09470066666666668],
+ FrameTicks -> None, PlotRangePadding -> None, ImageSize ->
+ Dynamic[{
+ Automatic,
+ 1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+ Magnification])}]],
+ StyleBox[
+ RowBox[{"RGBColor", "[",
+ RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+ "]"}], NumberMarks -> False]], Appearance -> None,
+ BaseStyle -> {}, BaselinePosition -> Baseline,
+ DefaultBaseStyle -> {}, ButtonFunction :>
+ With[{Typeset`box$ = EvaluationBox[]},
+ If[
+ Not[
+ AbsoluteCurrentValue["Deployed"]],
+ SelectionMove[Typeset`box$, All, Expression];
+ FrontEnd`Private`$ColorSelectorInitialAlpha = 1;
+ FrontEnd`Private`$ColorSelectorInitialColor =
+ RGBColor[0.880722, 0.611041, 0.142051];
+ FrontEnd`Private`$ColorSelectorUseMakeBoxes = True;
+ MathLink`CallFrontEnd[
+ FrontEnd`AttachCell[Typeset`box$,
+ FrontEndResource["RGBColorValueSelector"], {
+ 0, {Left, Bottom}}, {Left, Top},
+ "ClosingActions" -> {
+ "SelectionDeparture", "ParentChanged",
+ "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator ->
+ Automatic, Method -> "Preemptive"],
+ RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+ Selectable -> False], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.011000000000000001`", "]"}],
+ ",",
+ InterpretationBox[
+ ButtonBox[
+ TooltipBox[
+ GraphicsBox[{{
+ GrayLevel[0],
+ RectangleBox[{0, 0}]}, {
+ GrayLevel[0],
+ RectangleBox[{1, -1}]}, {
+ RGBColor[0.560181, 0.691569, 0.194885],
+ RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle ->
+ "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True,
+ FrameStyle ->
+ RGBColor[
+ 0.37345400000000006`, 0.461046, 0.12992333333333334`],
+ FrameTicks -> None, PlotRangePadding -> None, ImageSize ->
+ Dynamic[{
+ Automatic,
+ 1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+ Magnification])}]],
+ StyleBox[
+ RowBox[{"RGBColor", "[",
+ RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+ "]"}], NumberMarks -> False]], Appearance -> None,
+ BaseStyle -> {}, BaselinePosition -> Baseline,
+ DefaultBaseStyle -> {}, ButtonFunction :>
+ With[{Typeset`box$ = EvaluationBox[]},
+ If[
+ Not[
+ AbsoluteCurrentValue["Deployed"]],
+ SelectionMove[Typeset`box$, All, Expression];
+ FrontEnd`Private`$ColorSelectorInitialAlpha = 1;
+ FrontEnd`Private`$ColorSelectorInitialColor =
+ RGBColor[0.560181, 0.691569, 0.194885];
+ FrontEnd`Private`$ColorSelectorUseMakeBoxes = True;
+ MathLink`CallFrontEnd[
+ FrontEnd`AttachCell[Typeset`box$,
+ FrontEndResource["RGBColorValueSelector"], {
+ 0, {Left, Bottom}}, {Left, Top},
+ "ClosingActions" -> {
+ "SelectionDeparture", "ParentChanged",
+ "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator ->
+ Automatic, Method -> "Preemptive"],
+ RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+ Selectable -> False], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.011000000000000001`", "]"}],
+ ",",
+ InterpretationBox[
+ ButtonBox[
+ TooltipBox[
+ GraphicsBox[{{
+ GrayLevel[0],
+ RectangleBox[{0, 0}]}, {
+ GrayLevel[0],
+ RectangleBox[{1, -1}]}, {
+ RGBColor[0.922526, 0.385626, 0.209179],
+ RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle ->
+ "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True,
+ FrameStyle ->
+ RGBColor[
+ 0.6150173333333333, 0.25708400000000003`,
+ 0.13945266666666667`], FrameTicks -> None,
+ PlotRangePadding -> None, ImageSize ->
+ Dynamic[{
+ Automatic,
+ 1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+ Magnification])}]],
+ StyleBox[
+ RowBox[{"RGBColor", "[",
+ RowBox[{"0.922526`", ",", "0.385626`", ",", "0.209179`"}],
+ "]"}], NumberMarks -> False]], Appearance -> None,
+ BaseStyle -> {}, BaselinePosition -> Baseline,
+ DefaultBaseStyle -> {}, ButtonFunction :>
+ With[{Typeset`box$ = EvaluationBox[]},
+ If[
+ Not[
+ AbsoluteCurrentValue["Deployed"]],
+ SelectionMove[Typeset`box$, All, Expression];
+ FrontEnd`Private`$ColorSelectorInitialAlpha = 1;
+ FrontEnd`Private`$ColorSelectorInitialColor =
+ RGBColor[0.922526, 0.385626, 0.209179];
+ FrontEnd`Private`$ColorSelectorUseMakeBoxes = True;
+ MathLink`CallFrontEnd[
+ FrontEnd`AttachCell[Typeset`box$,
+ FrontEndResource["RGBColorValueSelector"], {
+ 0, {Left, Bottom}}, {Left, Top},
+ "ClosingActions" -> {
+ "SelectionDeparture", "ParentChanged",
+ "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator ->
+ Automatic, Method -> "Preemptive"],
+ RGBColor[0.922526, 0.385626, 0.209179], Editable -> False,
+ Selectable -> False], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.011000000000000001`", "]"}],
+ ",",
+ InterpretationBox[
+ ButtonBox[
+ TooltipBox[
+ GraphicsBox[{{
+ GrayLevel[0],
+ RectangleBox[{0, 0}]}, {
+ GrayLevel[0],
+ RectangleBox[{1, -1}]}, {
+ RGBColor[0.528488, 0.470624, 0.701351],
+ RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle ->
+ "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True,
+ FrameStyle ->
+ RGBColor[
+ 0.3523253333333333, 0.3137493333333333,
+ 0.46756733333333333`], FrameTicks -> None,
+ PlotRangePadding -> None, ImageSize ->
+ Dynamic[{
+ Automatic,
+ 1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+ Magnification])}]],
+ StyleBox[
+ RowBox[{"RGBColor", "[",
+ RowBox[{"0.528488`", ",", "0.470624`", ",", "0.701351`"}],
+ "]"}], NumberMarks -> False]], Appearance -> None,
+ BaseStyle -> {}, BaselinePosition -> Baseline,
+ DefaultBaseStyle -> {}, ButtonFunction :>
+ With[{Typeset`box$ = EvaluationBox[]},
+ If[
+ Not[
+ AbsoluteCurrentValue["Deployed"]],
+ SelectionMove[Typeset`box$, All, Expression];
+ FrontEnd`Private`$ColorSelectorInitialAlpha = 1;
+ FrontEnd`Private`$ColorSelectorInitialColor =
+ RGBColor[0.528488, 0.470624, 0.701351];
+ FrontEnd`Private`$ColorSelectorUseMakeBoxes = True;
+ MathLink`CallFrontEnd[
+ FrontEnd`AttachCell[Typeset`box$,
+ FrontEndResource["RGBColorValueSelector"], {
+ 0, {Left, Bottom}}, {Left, Top},
+ "ClosingActions" -> {
+ "SelectionDeparture", "ParentChanged",
+ "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator ->
+ Automatic, Method -> "Preemptive"],
+ RGBColor[0.528488, 0.470624, 0.701351], Editable -> False,
+ Selectable -> False], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.011000000000000001`", "]"}],
+ ",",
+ InterpretationBox[
+ ButtonBox[
+ TooltipBox[
+ GraphicsBox[{{
+ GrayLevel[0],
+ RectangleBox[{0, 0}]}, {
+ GrayLevel[0],
+ RectangleBox[{1, -1}]}, {
+ RGBColor[0.772079, 0.431554, 0.102387],
+ RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle ->
+ "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True,
+ FrameStyle ->
+ RGBColor[
+ 0.5147193333333333, 0.28770266666666666`,
+ 0.06825800000000001], FrameTicks -> None,
+ PlotRangePadding -> None, ImageSize ->
+ Dynamic[{
+ Automatic,
+ 1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+ Magnification])}]],
+ StyleBox[
+ RowBox[{"RGBColor", "[",
+ RowBox[{"0.772079`", ",", "0.431554`", ",", "0.102387`"}],
+ "]"}], NumberMarks -> False]], Appearance -> None,
+ BaseStyle -> {}, BaselinePosition -> Baseline,
+ DefaultBaseStyle -> {}, ButtonFunction :>
+ With[{Typeset`box$ = EvaluationBox[]},
+ If[
+ Not[
+ AbsoluteCurrentValue["Deployed"]],
+ SelectionMove[Typeset`box$, All, Expression];
+ FrontEnd`Private`$ColorSelectorInitialAlpha = 1;
+ FrontEnd`Private`$ColorSelectorInitialColor =
+ RGBColor[0.772079, 0.431554, 0.102387];
+ FrontEnd`Private`$ColorSelectorUseMakeBoxes = True;
+ MathLink`CallFrontEnd[
+ FrontEnd`AttachCell[Typeset`box$,
+ FrontEndResource["RGBColorValueSelector"], {
+ 0, {Left, Bottom}}, {Left, Top},
+ "ClosingActions" -> {
+ "SelectionDeparture", "ParentChanged",
+ "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator ->
+ Automatic, Method -> "Preemptive"],
+ RGBColor[0.772079, 0.431554, 0.102387], Editable -> False,
+ Selectable -> False], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.011000000000000001`", "]"}],
+ ",",
+ InterpretationBox[
+ ButtonBox[
+ TooltipBox[
+ GraphicsBox[{{
+ GrayLevel[0],
+ RectangleBox[{0, 0}]}, {
+ GrayLevel[0],
+ RectangleBox[{1, -1}]}, {
+ RGBColor[0.363898, 0.618501, 0.782349],
+ RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle ->
+ "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True,
+ FrameStyle ->
+ RGBColor[0.24259866666666668`, 0.412334, 0.521566],
+ FrameTicks -> None, PlotRangePadding -> None, ImageSize ->
+ Dynamic[{
+ Automatic,
+ 1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+ Magnification])}]],
+ StyleBox[
+ RowBox[{"RGBColor", "[",
+ RowBox[{"0.363898`", ",", "0.618501`", ",", "0.782349`"}],
+ "]"}], NumberMarks -> False]], Appearance -> None,
+ BaseStyle -> {}, BaselinePosition -> Baseline,
+ DefaultBaseStyle -> {}, ButtonFunction :>
+ With[{Typeset`box$ = EvaluationBox[]},
+ If[
+ Not[
+ AbsoluteCurrentValue["Deployed"]],
+ SelectionMove[Typeset`box$, All, Expression];
+ FrontEnd`Private`$ColorSelectorInitialAlpha = 1;
+ FrontEnd`Private`$ColorSelectorInitialColor =
+ RGBColor[0.363898, 0.618501, 0.782349];
+ FrontEnd`Private`$ColorSelectorUseMakeBoxes = True;
+ MathLink`CallFrontEnd[
+ FrontEnd`AttachCell[Typeset`box$,
+ FrontEndResource["RGBColorValueSelector"], {
+ 0, {Left, Bottom}}, {Left, Top},
+ "ClosingActions" -> {
+ "SelectionDeparture", "ParentChanged",
+ "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator ->
+ Automatic, Method -> "Preemptive"],
+ RGBColor[0.363898, 0.618501, 0.782349], Editable -> False,
+ Selectable -> False], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
+ "}"}], ",",
+ RowBox[{"{",
+ RowBox[{#, ",", #2, ",", #3, ",", #4, ",", #5, ",", #6,
+ ",", #7}], "}"}], ",",
+ RowBox[{"LegendMarkers", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",",
+ RowBox[{"Joined", "\[Rule]",
+ RowBox[{"{",
+
+ RowBox[{
+ "True", ",", "True", ",", "True", ",", "True", ",", "True",
+ ",", "True", ",", "True"}], "}"}]}], ",",
+ RowBox[{"LabelStyle", "\[Rule]",
+ RowBox[{"{", "}"}]}], ",",
+ RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ),
+ Editable -> True], TraditionalForm], TraditionalForm]},
+ "Legended",
+ DisplayFunction->(GridBox[{{
+ TagBox[
+ ItemBox[
+ PaneBox[
+ TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline},
+ BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"],
+ "SkipImageSizeLevel"],
+ ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}},
+ GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}},
+ AutoDelete -> False, GridBoxItemSize -> Automatic,
+ BaselinePosition -> {1, 1}]& ),
+ Editable->True,
+ InterpretationFunction->(RowBox[{"Legended", "[",
+ RowBox[{#, ",",
+ RowBox[{"Placed", "[",
+ RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
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diff --git a/schofield.wl b/schofield.wl
index ecf61ff..358d5a4 100644
--- a/schofield.wl
+++ b/schofield.wl
@@ -41,8 +41,7 @@ h[n_][θ_] := (1 - (θ/θc)^2) Sum[gC[i] θ^(2*i+1), {i, 0, n}]
fLow[B_, θc_][θ_] := (θc Exp[1/(B θc)] ExpIntegralEi[-1/(B θc)] + (θ - θc) Exp[-1/(B (θ - θc))] ExpIntegralEi[1/(B (θ - θc))]) / π
RFLow[B_, θc_][θ_] := fLow[B, θc][θ] + fLow[B, θc][-θ]
-RFHigh[ξ0_][ξ_] := (ξ^2+ξ0^2)^(5/6) - (ξ0^2)^(5/6)
-
+RFHigh[ξ0_][ξ_] := (-I ξ+ ξ0)^(5/6) + (I ξ+ ξ0)^(5/6) - 2 ξ0^(5/6)
RFReg[n_][θ_] := AL fLow[B, θc][-θ] + AH RFHigh[θ0][θ] + Sum[A[i] θ^(2 i), {i, 1, n}]
RF[n_][θ_] := RFReg[n][θ] + AL fLow[B, θc][θ]
dfLow[AL_, B_][m_] := Piecewise[{{AL m! Gamma[m - 1] B^(m - 1) / π, m > 1}, {AL θc Exp[1/(B θc)] ExpIntegralEi[-1/(B θc)] / π, m == 0}, {0, True}}]
@@ -97,7 +96,7 @@ dΦdηList[n_, h_, params_:{}][m_, θp_] := Module[
ruleB[g_] := B -> (2 * os / π) * (- g'[θc] / t[θc]^Δ[2])
ξYL[g_] := g[I θ0]/(-t[I θ0])^Δ[2]/I
-AYL[g_] := AH / ((g[I θ0]/ I)^(2 / Δ[2]) * (-η[g]'[I θ0] / (2 θ0 I))^(5/6))
+AYL[g_] := AH / ((g[I θ0]/ I)^(2 / Δ[2]) * (-η[g]'[I θ0] / (I))^(5/6))
ruleθ0[g_] := ξYL[g] - Around[0.18930, 0.00005]
ruleAL[g_] := AL -> Exp[Δ[2] t[θc]^(Δ[2] - 1) t'[θc] / (2 os / π g'[θc]) - t[θc]^Δ[2] g''[θc] / (4 os / π g'[θc]^2)] t[θc]^(1/8) os / (2 π) * g'[θc]
ruleAH[g_] := AYL[g] + Around[1.37, 0.02]
@@ -137,12 +136,12 @@ eqMid[F_, h_][m_] := D[
]],
*)
Around[0.110886196683, 2.0 10^-12],
- Around[0.01642689465, 1.0 10^-11],
+ Around[0.01642689465, 2.0 10^-11],
Around[-2.639978 10^-4, 1.0 10^-10],
Around[-5.140526 10^-4, 1.0 10^-10],
Around[2.08865 10^-4, 1.0 10^-9],
Around[-4.4819 10^-5, 1.0 10^-9],
- Around[3.194 10^-7, 1.0 10^-9],
+ Around[3.16 10^-7, 1.0 10^-9],
Around[4.31 10^-6, 0.01 10^-6],
Around[-1.99 10^-6, 0.01 10^-6]
}
@@ -153,15 +152,15 @@ Gls = {
−1.000960328725262189480934955172097320572505951770117 Sqrt[2]/((2 )^(-7/8) (2^(3/16)/os)^2)/2/(12 \[Pi]),
Around[ 0.038863932, 3.0 10^(-9)],
Around[−0.068362119, 2.0 10^(-9)],
- Around[ 0.18388371, 1.0 10^(-8)],
- Around[-0.659170, 1.0 10^(-6)],
+ Around[ 0.18388370, 1.0 10^(-8)],
+ Around[-0.6591714, 1.0 10^(-7)],
Around[ 2.937665, 3.0 10^(-6)],
Around[-15.61, 1.0 10^(-2)],
Around[ 96.76, 1.0 10^(-2)],
Around[-6.79 10^2, 1.0],
- Around[5.34 10^3, 10.],
+ Around[ 5.34 10^3, 10.],
Around[-4.66 10^4, 0.01 10^4],
- Around[4.46 10^5, 0.01 10^5],
+ Around[ 4.46 10^5, 0.01 10^5],
Around[-4.66 10^6, 0.01 10^6]
}
@@ -172,7 +171,7 @@ Ghs = {
0,
Around[ 8.333711750, 5.0 10^(-9)],
0,
- Around[-95.16897, 3.0 10^(-5)],
+ Around[-95.16896, 1.0 10^(-5)],
0,
Around[1457.62, 3.0 10^(-2)],
0,
@@ -189,7 +188,7 @@ dRule[sym_][f_, i_] := Derivative[i[[1]] - 1][sym][0] -> f (i[[1]] - 1)!
GlRules = MapIndexed[dRule[Gl], Gls];
GhRules = MapIndexed[dRule[Gh], Ghs];
-rules[g_] := Join[ΦRules, GlRules, GhRules, {ruleAL[g], ruleB[g], gC[0] -> 1}]
+rules[g_] := Join[ΦRules, GlRules, GhRules, {ruleAL[g], ruleB[g]}]
eqAround[n_, g_][m_, p_, q_] := Flatten[Join[{ruleAH[g], ruleθ0[g]}, eqLow[n, g][#] & /@ Range[0, m],eqMid[RF[n], g][#] & /@ Range[0, p], eqHigh[n, g] /@ Range[2, q, 2]]] //. rules[g]
@@ -206,6 +205,7 @@ resMid[n_, g_, δ_][m_] := formResiduals[Φs[[;;m+1]], dΦdηList[n, g][m, 1], Î
res[F_, g_, δ_][m_] := Join[resLow[F, g, δ][m], resHigh[F, g, δ][m]] //. rules[g]
chiSquared[F_, g_, δ_][m_] := Total[res[F, g, δ][m]^2]
resAll[F_, g_, δ_][m_] := Join[resLow[F, g, δ][m], resHigh[F, g, δ][m], (*resMid[F, g, δ][m],*) {ruleθ0[g] / 0.00005, ruleAH[g] / 0.02} /. Around[x_, _] :> x] //. rules[g]
+resHighAll[F_, g_, δ_][m_] := Join[resLow[F, g, δ][m][[{1}]], resHigh[F, g, δ][m], (*resMid[F, g, δ][m],*) {ruleθ0[g] / 0.00005, ruleAH[g] / 0.02} /. Around[x_, _] :> x] //. rules[g]
newSol[eqs_, oldSol_, newVars_, δ_:0, γ_:0, opts___] := FindRoot[
eqs,
@@ -296,7 +296,7 @@ levenbergMarquardtHelper[Δ_, rf_, Jf_, β0_, λ0_ : 1, ν_ : 1.5, ε_ : 10^-15]
{newC, β}
]
-annealFit[r_, β0_, γ_ : 0, λ0_ : 1, ν_ : 2, μ_ : 3, ε_: 10^-14, h_ : 0.1, α_ : 0.1] :=
+annealFit[r_, β0_, γ_ : 0, λ0_ : 1, ν_ : 2, μ_ : 3, ε_: 10^-15, h_ : 0.1, α_ : 0.1] :=
Module[ {
rf, Jf,
n = Length[β0],