From 9b07f9bbf6e70f703d1b164094076250f9ae4e0c Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Mon, 3 Feb 2020 13:16:58 -0500 Subject: mathematica notebooks updated with cpp code and new notebook added for analyzing the pt tuning --- tempering_analysis.nb | 11593 +++++++++++++++++++++++++++++------------------- tuning_pt.nb | 660 +++ 2 files changed, 7651 insertions(+), 4602 deletions(-) create mode 100644 tuning_pt.nb diff --git a/tempering_analysis.nb b/tempering_analysis.nb index 03f0f5d..d550ff2 100644 --- a/tempering_analysis.nb +++ b/tempering_analysis.nb @@ -10,199 +10,83 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 2857979, 65052] -NotebookOptionsPosition[ 2853790, 64983] -NotebookOutlinePosition[ 2854124, 64998] -CellTagsIndexPosition[ 2854081, 64995] +NotebookDataLength[ 3028029, 67441] +NotebookOptionsPosition[ 3020376, 67313] +NotebookOutlinePosition[ 3020710, 67328] +CellTagsIndexPosition[ 3020667, 67325] 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AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, - ImageSize -> {20, 10}, PlotRangePadding -> None, + AbsoluteThickness[1.6]], + PointBox[ + NCache[{ + Scaled[{ + Rational[1, 2], + Rational[1, 2]}]}, { + Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full, + ImageSize -> {10, 10}, PlotRangePadding -> None, ImagePadding -> Automatic, BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}, { - GraphicsBox[{{ + GraphicsBox[{{}, { Directive[ EdgeForm[ Directive[ @@ -762,7 +1930,6 @@ J4O8+mdHmly0h4Cgdf1zcSH9Xwgo+PqFkj76/1CIiIqdG5ykPRR8h6bKT/Pp PointSize[0.5], RGBColor[0.922526, 0.385626, 0.209179], AbsoluteThickness[1.6]], { - LineBox[{{0, 10}, {20, 10}}]}}, { Directive[ EdgeForm[ Directive[ @@ -770,10 +1937,120 @@ J4O8+mdHmly0h4Cgdf1zcSH9Xwgo+PqFkj76/1CIiIqdG5ykPRR8h6bKT/Pp GrayLevel[0]]], PointSize[0.5], RGBColor[0.922526, 0.385626, 0.209179], - AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, - ImageSize -> {20, 10}, PlotRangePadding -> None, + AbsoluteThickness[1.6]], + PointBox[ + NCache[{ + Scaled[{ + Rational[1, 2], + Rational[1, 2]}]}, { + Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full, + ImageSize -> {10, 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]], { + Directive[ + EdgeForm[ + Directive[ + Opacity[0.3], + GrayLevel[0]]], + PointSize[0.5], + RGBColor[0.528488, 0.470624, 0.701351], + AbsoluteThickness[1.6]], + PointBox[ + NCache[{ + Scaled[{ + Rational[1, 2], + Rational[1, 2]}]}, { + Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full, + ImageSize -> {10, 10}, PlotRangePadding -> None, ImagePadding -> Automatic, - BaselinePosition -> (Scaled[0.1] -> Baseline)], #4}}, + 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]], { + Directive[ + EdgeForm[ + Directive[ + Opacity[0.3], + GrayLevel[0]]], + PointSize[0.5], + RGBColor[0.772079, 0.431554, 0.102387], + AbsoluteThickness[1.6]], + PointBox[ + NCache[{ + Scaled[{ + Rational[1, 2], + Rational[1, 2]}]}, { + Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full, + ImageSize -> {10, 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]], { + Directive[ + EdgeForm[ + Directive[ + Opacity[0.3], + GrayLevel[0]]], + PointSize[0.5], + RGBColor[0.363898, 0.618501, 0.782349], + AbsoluteThickness[1.6]], + PointBox[ + NCache[{ + Scaled[{ + Rational[1, 2], + Rational[1, 2]}]}, { + Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full, + ImageSize -> {10, 10}, PlotRangePadding -> None, + ImagePadding -> Automatic, + BaselinePosition -> (Scaled[0.1] -> Baseline)], #7}, { + GraphicsBox[{{}, { + Directive[ + EdgeForm[ + Directive[ + Opacity[0.3], + GrayLevel[0]]], + PointSize[0.5], + RGBColor[1, 0.75, 0], + AbsoluteThickness[1.6]], { + Directive[ + EdgeForm[ + Directive[ + Opacity[0.3], + GrayLevel[0]]], + PointSize[0.5], + RGBColor[1, 0.75, 0], + AbsoluteThickness[1.6]], + PointBox[ + NCache[{ + Scaled[{ + Rational[1, 2], + Rational[1, 2]}]}, { + Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full, + ImageSize -> {10, 10}, PlotRangePadding -> None, + ImagePadding -> Automatic, + BaselinePosition -> (Scaled[0.1] -> Baseline)], #8}}, GridBoxAlignment -> { "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, AutoDelete -> False, @@ -798,7 +2075,7 @@ J4O8+mdHmly0h4Cgdf1zcSH9Xwgo+PqFkj76/1CIiIqdG5ykPRR8h6bKT/Pp RowBox[{ RowBox[{"Directive", "[", RowBox[{ - RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], + RowBox[{"PointSize", "[", 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-> "Preemptive"], RGBColor[0.922526, 0.385626, 0.209179], Editable -> False, Selectable -> False], ",", + RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], + ",", + RowBox[{"Directive", "[", + RowBox[{ + RowBox[{"PointSize", "[", "0.004583333333333334`", "]"}], + ",", + 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$, + FrontEndResource["RGBColorValueSelector"], { + 0, {Left, Bottom}}, {Left, Top}, + "ClosingActions" -> { + "SelectionDeparture", "ParentChanged", + "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> + Automatic, Method -> "Preemptive"], + RGBColor[0.528488, 0.470624, 0.701351], Editable -> False, + Selectable -> False], ",", + RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], + ",", + RowBox[{"Directive", "[", + RowBox[{ + RowBox[{"PointSize", "[", "0.004583333333333334`", "]"}], + ",", + 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+ FrontEnd`Private`$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", "[", "0.004583333333333334`", "]"}], + ",", + 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$, + FrontEndResource["RGBColorValueSelector"], { + 0, {Left, Bottom}}, {Left, Top}, + "ClosingActions" -> { + "SelectionDeparture", "ParentChanged", + "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> + Automatic, Method -> "Preemptive"], + RGBColor[0.363898, 0.618501, 0.782349], Editable -> False, + Selectable -> False], ",", + RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], + ",", + RowBox[{"Directive", "[", + RowBox[{ + RowBox[{"PointSize", "[", "0.004583333333333334`", "]"}], + ",", + InterpretationBox[ + ButtonBox[ + TooltipBox[ + GraphicsBox[{{ + GrayLevel[0], + RectangleBox[{0, 0}]}, { + GrayLevel[0], + RectangleBox[{1, -1}]}, { + RGBColor[1, 0.75, 0], + RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> + "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, + FrameStyle -> RGBColor[0.6666666666666666, 0.5, 0.], + FrameTicks -> None, PlotRangePadding -> None, ImageSize -> + Dynamic[{ + Automatic, 1.35 CurrentValue["FontCapHeight"]/ + AbsoluteCurrentValue[Magnification]}]], + StyleBox[ + RowBox[{"RGBColor", "[", + RowBox[{"1", ",", "0.75`", ",", "0"}], "]"}], NumberMarks -> + False]], Appearance -> None, BaseStyle -> {}, + BaselinePosition -> Baseline, DefaultBaseStyle -> {}, + ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, + If[ + Not[ + AbsoluteCurrentValue["Deployed"]], + SelectionMove[Typeset`box$, All, Expression]; + FrontEnd`Private`$ColorSelectorInitialAlpha = 1; + FrontEnd`Private`$ColorSelectorInitialColor = + RGBColor[1, 0.75, 0]; + FrontEnd`Private`$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[1, 0.75, 0], Editable -> False, Selectable -> + False], ",", RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}], "}"}], ",", RowBox[{"{", - RowBox[{#, ",", #2, ",", #3, ",", #4}], "}"}], ",", + + RowBox[{#, ",", #2, ",", 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AspectRatio -> NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, AxesLabel -> { FormBox["\[Beta]", TraditionalForm], @@ -3271,7 +6129,7 @@ BLNqTzlXre9OULriqlo/1t/yF706X6Y= RowBox[{ RowBox[{"s", "(", "\[Beta]", ")"}], "-", RowBox[{"s", "(", "0", ")"}]}], TraditionalForm]}, - AxesOrigin -> {0.026041666666666668`, 0}, DisplayFunction :> Identity, + AxesOrigin -> {0, 0}, DisplayFunction :> Identity, Frame -> {{False, False}, {False, False}}, FrameLabel -> {{None, None}, {None, None}}, FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}}, @@ -3288,15 +6146,16 @@ BLNqTzlXre9OULriqlo/1t/yF706X6Y= Part[#, 1]], (Identity[#]& )[ Part[#, 2]]}& )}}, - PlotRange -> {{0.026041666666666668`, 7.9375}, {-0.529069798431, 0}}, - PlotRangeClipping -> True, PlotRangePadding -> {{ + PlotRange -> {{0, 24.9606}, {0, 0.7034135370374288}}, PlotRangeClipping -> + True, PlotRangePadding -> {{ Scaled[0.02], Scaled[0.02]}, { - Scaled[0.05], - Scaled[0.02]}}, Ticks -> {Automatic, Automatic}}],FormBox[ + Scaled[0.02], + Scaled[0.05]}}, Ticks -> {Automatic, Automatic}}],FormBox[ FormBox[ - TemplateBox[{"\"4\"", "\"8\"", "\"16\"", "\"32\""}, "PointLegend", - DisplayFunction -> (FormBox[ + TemplateBox[{ + "\"4\"", "\"4\"", "\"4\"", "\"8\"", "\"8\"", "\"16\"", "\"16\""}, + "PointLegend", DisplayFunction -> (FormBox[ StyleBox[ StyleBox[ PaneBox[ @@ -3387,7 +6246,70 @@ BLNqTzlXre9OULriqlo/1t/yF706X6Y= AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, ImageSize -> {20, 10}, PlotRangePadding -> None, ImagePadding -> Automatic, - BaselinePosition -> (Scaled[0.1] -> Baseline)], #4}}, + 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, @@ -3412,7 +6334,7 @@ BLNqTzlXre9OULriqlo/1t/yF706X6Y= RowBox[{ RowBox[{"Directive", "[", RowBox[{ - RowBox[{"PointSize", "[", "0.004583333333333334`", "]"}], + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], ",", InterpretationBox[ ButtonBox[ @@ -3462,7 +6384,7 @@ BLNqTzlXre9OULriqlo/1t/yF706X6Y= ",", RowBox[{"Directive", "[", RowBox[{ - RowBox[{"PointSize", "[", "0.004583333333333334`", "]"}], + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], ",", InterpretationBox[ ButtonBox[ @@ -3511,7 +6433,7 @@ BLNqTzlXre9OULriqlo/1t/yF706X6Y= ",", RowBox[{"Directive", "[", RowBox[{ - RowBox[{"PointSize", "[", "0.004583333333333334`", "]"}], + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], ",", InterpretationBox[ ButtonBox[ @@ -3560,7 +6482,7 @@ BLNqTzlXre9OULriqlo/1t/yF706X6Y= ",", RowBox[{"Directive", "[", RowBox[{ - RowBox[{"PointSize", "[", "0.004583333333333334`", "]"}], + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], ",", InterpretationBox[ ButtonBox[ @@ -3606,13 +6528,169 @@ BLNqTzlXre9OULriqlo/1t/yF706X6Y= Automatic, Method -> "Preemptive"], RGBColor[0.922526, 0.385626, 0.209179], Editable -> False, Selectable -> False], ",", + RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], + ",", + RowBox[{"Directive", "[", + RowBox[{ + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], + ",", + 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$, + FrontEndResource["RGBColorValueSelector"], { + 0, {Left, Bottom}}, {Left, Top}, + "ClosingActions" -> { + "SelectionDeparture", "ParentChanged", + "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> + Automatic, Method -> "Preemptive"], + RGBColor[0.528488, 0.470624, 0.701351], Editable -> False, + Selectable -> False], ",", + RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], + ",", + RowBox[{"Directive", "[", + RowBox[{ + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], + ",", + InterpretationBox[ + ButtonBox[ + TooltipBox[ + GraphicsBox[{{ + GrayLevel[0], + RectangleBox[{0, 0}]}, { + GrayLevel[0], + RectangleBox[{1, -1}]}, { + RGBColor[0.772079, 0.431554, 0.102387], + RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> + "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, + FrameStyle -> + RGBColor[ + 0.5147193333333333, 0.28770266666666666`, + 0.06825800000000001], FrameTicks -> None, + PlotRangePadding -> None, ImageSize -> + Dynamic[{ + Automatic, 1.35 CurrentValue["FontCapHeight"]/ + AbsoluteCurrentValue[Magnification]}]], + StyleBox[ + RowBox[{"RGBColor", "[", + RowBox[{"0.772079`", ",", "0.431554`", ",", "0.102387`"}], + "]"}], NumberMarks -> False]], Appearance -> None, + BaseStyle -> {}, BaselinePosition -> Baseline, + DefaultBaseStyle -> {}, ButtonFunction :> + With[{Typeset`box$ = 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$, + FrontEndResource["RGBColorValueSelector"], { + 0, {Left, Bottom}}, {Left, Top}, + "ClosingActions" -> { + "SelectionDeparture", "ParentChanged", + "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> + Automatic, Method -> "Preemptive"], + RGBColor[0.772079, 0.431554, 0.102387], Editable -> False, + Selectable -> False], ",", + RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], + ",", + RowBox[{"Directive", "[", + RowBox[{ + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], + ",", + InterpretationBox[ + ButtonBox[ + TooltipBox[ + GraphicsBox[{{ + GrayLevel[0], + RectangleBox[{0, 0}]}, { + GrayLevel[0], + RectangleBox[{1, -1}]}, { + RGBColor[0.363898, 0.618501, 0.782349], + RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> + "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, + FrameStyle -> + RGBColor[0.24259866666666668`, 0.412334, 0.521566], + FrameTicks -> None, PlotRangePadding -> None, ImageSize -> + Dynamic[{ + Automatic, 1.35 CurrentValue["FontCapHeight"]/ + AbsoluteCurrentValue[Magnification]}]], + StyleBox[ + RowBox[{"RGBColor", "[", + RowBox[{"0.363898`", ",", "0.618501`", ",", "0.782349`"}], + "]"}], NumberMarks -> False]], Appearance -> None, + BaseStyle -> {}, BaselinePosition -> Baseline, + DefaultBaseStyle -> {}, ButtonFunction :> + With[{Typeset`box$ = 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}], "}"}], ",", + + 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[{"{", @@ -3623,8 +6701,10 @@ BLNqTzlXre9OULriqlo/1t/yF706X6Y= RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",", RowBox[{"Joined", "\[Rule]", RowBox[{"{", - RowBox[{"True", ",", "True", ",", "True", ",", "True"}], - "}"}]}], ",", + + RowBox[{ + "True", ",", "True", ",", "True", ",", "True", ",", "True", + ",", "True", ",", "True"}], "}"}]}], ",", RowBox[{"LabelStyle", "\[Rule]", RowBox[{"{", "}"}]}], ",", RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), @@ -3680,17 +6760,24 @@ BLNqTzlXre9OULriqlo/1t/yF706X6Y= 3.7850571121514072`*^9}, 3.785057232043537*^9, 3.7850646228613367`*^9, 3.785074738524434*^9, 3.785096356452805*^9, 3.785096596537345*^9, 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3.785939955913644*^9, + 3.785939961436084*^9}},ExpressionUUID->"7f3ff092-2669-46e9-9ae8-\ +b9a7bd7e553f"], Cell[CellGroupData[{ @@ -3698,13 +6785,7 @@ Cell[BoxData[ RowBox[{"plotE", "=", RowBox[{"ListPlot", "[", RowBox[{ - RowBox[{ - RowBox[{ - RowBox[{"Select", "[", - RowBox[{ - RowBox[{ - RowBox[{"Length", "[", "#rs", "]"}], "\[Equal]", "1"}], "&"}], "]"}], - "[", "d", "]"}], "[", + RowBox[{"d", "[", RowBox[{ RowBox[{"SortBy", "[", "\"\\"", "]"}], ",", RowBox[{ @@ -3717,13 +6798,7 @@ Cell[BoxData[ RowBox[{"Joined", "\[Rule]", "True"}], ",", RowBox[{"PlotLegends", "\[Rule]", RowBox[{"Normal", "@", - RowBox[{ - RowBox[{ - RowBox[{"Select", "[", - RowBox[{ - RowBox[{ - RowBox[{"Length", "[", "#rs", "]"}], "\[Equal]", "1"}], "&"}], - "]"}], "[", "d", "]"}], "[", + RowBox[{"d", "[", RowBox[{ RowBox[{"SortBy", "[", "\"\\"", "]"}], ",", RowBox[{ @@ -3736,154 +6811,447 @@ Cell[BoxData[ 3.784992888545384*^9}, {3.785000865060989*^9, 3.785000867504056*^9}, { 3.7850571228045*^9, 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PointSize[0.0055000000000000005`], RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[1.6]]}, { Directive[ - PointSize[0.007333333333333334], + PointSize[0.0055000000000000005`], RGBColor[0.922526, 0.385626, 0.209179], + AbsoluteThickness[1.6]]}, { + Directive[ + PointSize[0.0055000000000000005`], + RGBColor[0.528488, 0.470624, 0.701351], + AbsoluteThickness[1.6]]}, { + Directive[ + PointSize[0.0055000000000000005`], + RGBColor[0.772079, 0.431554, 0.102387], + AbsoluteThickness[1.6]]}, { + Directive[ + PointSize[0.0055000000000000005`], + RGBColor[0.363898, 0.618501, 0.782349], AbsoluteThickness[1.6]]}}, {{ Directive[ - PointSize[0.007333333333333334], + PointSize[0.0055000000000000005`], RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6]]}, { Directive[ - PointSize[0.007333333333333334], + PointSize[0.0055000000000000005`], RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6]]}, { Directive[ - PointSize[0.007333333333333334], + PointSize[0.0055000000000000005`], RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[1.6]]}, { Directive[ - PointSize[0.007333333333333334], + PointSize[0.0055000000000000005`], RGBColor[0.922526, 0.385626, 0.209179], + AbsoluteThickness[1.6]]}, { + Directive[ + PointSize[0.0055000000000000005`], + RGBColor[0.528488, 0.470624, 0.701351], + AbsoluteThickness[1.6]]}, { + Directive[ + PointSize[0.0055000000000000005`], + RGBColor[0.772079, 0.431554, 0.102387], + AbsoluteThickness[1.6]]}, { + Directive[ + PointSize[0.0055000000000000005`], + RGBColor[0.363898, 0.618501, 0.782349], AbsoluteThickness[ - 1.6]]}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, {{ + 1.6]]}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, \ +{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, \ +{}, {}, {}, {}, {}, {}, {}, {}, {}}, {{ Directive[ - PointSize[0.007333333333333334], + PointSize[0.0055000000000000005`], RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6]]}, { Directive[ - PointSize[0.007333333333333334], + PointSize[0.0055000000000000005`], RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6]]}, { Directive[ - PointSize[0.007333333333333334], + PointSize[0.0055000000000000005`], RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[1.6]]}, { Directive[ - PointSize[0.007333333333333334], + PointSize[0.0055000000000000005`], RGBColor[0.922526, 0.385626, 0.209179], + AbsoluteThickness[1.6]]}, { + Directive[ + PointSize[0.0055000000000000005`], + RGBColor[0.528488, 0.470624, 0.701351], + AbsoluteThickness[1.6]]}, { + Directive[ + PointSize[0.0055000000000000005`], + RGBColor[0.772079, 0.431554, 0.102387], + AbsoluteThickness[1.6]]}, { + Directive[ + PointSize[0.0055000000000000005`], + RGBColor[0.363898, 0.618501, 0.782349], AbsoluteThickness[ - 1.6]]}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}}, {{}, \ -{}}}, {DisplayFunction -> Identity, DisplayFunction -> Identity, AspectRatio -> + 1.6]]}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, \ +{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, \ +{}, {}, {}, {}, {}, {}, {}, {}, {}}}, {{}, {}}}, { + DisplayFunction -> Identity, DisplayFunction -> Identity, AspectRatio -> NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, AxesLabel -> { FormBox["\[Beta]", TraditionalForm], - FormBox["e", TraditionalForm]}, AxesOrigin -> {0, -0.8003713900531357}, + FormBox["e", TraditionalForm]}, AxesOrigin -> {0, -0.8111707148437503}, DisplayFunction :> Identity, Frame -> {{False, False}, {False, False}}, FrameLabel -> {{None, None}, {None, None}}, FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}}, @@ -3900,15 +7268,16 @@ PXy5YAK7EBiZJfXZFuxCkL1p+FJqxR4AnEpl0PUF7AGgUSWliO3YA0FC7Gee Part[#, 1]], (Identity[#]& )[ Part[#, 2]]}& )}}, - PlotRange -> {{0, 8.}, {-0.9763121523561187, -0.809631430174345}}, + PlotRange -> {{0, 25.}, {-0.9924915, -0.8207139140625}}, PlotRangeClipping -> True, PlotRangePadding -> {{ Scaled[0.02], Scaled[0.02]}, { Scaled[0.05], Scaled[0.05]}}, Ticks -> {Automatic, Automatic}}],FormBox[ FormBox[ - TemplateBox[{"\"4\"", "\"8\"", "\"16\"", "\"32\""}, "PointLegend", - DisplayFunction -> (FormBox[ + TemplateBox[{ + "\"4\"", "\"4\"", "\"4\"", "\"8\"", "\"8\"", "\"16\"", "\"16\""}, + "PointLegend", DisplayFunction -> (FormBox[ StyleBox[ StyleBox[ PaneBox[ @@ -3999,7 +7368,70 @@ PXy5YAK7EBiZJfXZFuxCkL1p+FJqxR4AnEpl0PUF7AGgUSWliO3YA0FC7Gee AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, ImageSize -> {20, 10}, PlotRangePadding -> None, ImagePadding -> Automatic, - BaselinePosition -> (Scaled[0.1] -> Baseline)], #4}}, + 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, @@ -4024,7 +7456,7 @@ PXy5YAK7EBiZJfXZFuxCkL1p+FJqxR4AnEpl0PUF7AGgUSWliO3YA0FC7Gee RowBox[{ RowBox[{"Directive", "[", RowBox[{ - RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], ",", InterpretationBox[ ButtonBox[ @@ -4074,7 +7506,7 @@ PXy5YAK7EBiZJfXZFuxCkL1p+FJqxR4AnEpl0PUF7AGgUSWliO3YA0FC7Gee ",", RowBox[{"Directive", "[", RowBox[{ - RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], ",", InterpretationBox[ ButtonBox[ @@ -4123,7 +7555,7 @@ PXy5YAK7EBiZJfXZFuxCkL1p+FJqxR4AnEpl0PUF7AGgUSWliO3YA0FC7Gee ",", RowBox[{"Directive", "[", RowBox[{ - RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], ",", InterpretationBox[ ButtonBox[ @@ -4172,7 +7604,7 @@ PXy5YAK7EBiZJfXZFuxCkL1p+FJqxR4AnEpl0PUF7AGgUSWliO3YA0FC7Gee ",", RowBox[{"Directive", "[", RowBox[{ - RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], ",", InterpretationBox[ ButtonBox[ @@ -4218,13 +7650,169 @@ PXy5YAK7EBiZJfXZFuxCkL1p+FJqxR4AnEpl0PUF7AGgUSWliO3YA0FC7Gee Automatic, Method -> "Preemptive"], RGBColor[0.922526, 0.385626, 0.209179], Editable -> False, Selectable -> False], ",", + RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], + ",", + RowBox[{"Directive", "[", + RowBox[{ + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], + ",", + 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$, + FrontEndResource["RGBColorValueSelector"], { + 0, {Left, Bottom}}, {Left, Top}, + "ClosingActions" -> { + "SelectionDeparture", "ParentChanged", + "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> + Automatic, Method -> "Preemptive"], + RGBColor[0.528488, 0.470624, 0.701351], Editable -> False, + Selectable -> False], ",", + RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], + ",", + RowBox[{"Directive", "[", + RowBox[{ + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], + ",", + InterpretationBox[ + ButtonBox[ + TooltipBox[ + GraphicsBox[{{ + GrayLevel[0], + RectangleBox[{0, 0}]}, { + GrayLevel[0], + RectangleBox[{1, -1}]}, { + RGBColor[0.772079, 0.431554, 0.102387], + RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> + "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, + FrameStyle -> + RGBColor[ + 0.5147193333333333, 0.28770266666666666`, + 0.06825800000000001], FrameTicks -> None, + PlotRangePadding -> None, ImageSize -> + Dynamic[{ + Automatic, 1.35 CurrentValue["FontCapHeight"]/ + AbsoluteCurrentValue[Magnification]}]], + StyleBox[ + RowBox[{"RGBColor", "[", + RowBox[{"0.772079`", ",", "0.431554`", ",", "0.102387`"}], + "]"}], NumberMarks -> False]], Appearance -> None, + BaseStyle -> {}, BaselinePosition -> Baseline, + DefaultBaseStyle -> {}, ButtonFunction :> + With[{Typeset`box$ = 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$, + FrontEndResource["RGBColorValueSelector"], { + 0, {Left, Bottom}}, {Left, Top}, + "ClosingActions" -> { + "SelectionDeparture", "ParentChanged", + "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> + Automatic, Method -> "Preemptive"], + RGBColor[0.772079, 0.431554, 0.102387], Editable -> False, + Selectable -> False], ",", + RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], + ",", + RowBox[{"Directive", "[", + RowBox[{ + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], + ",", + InterpretationBox[ + ButtonBox[ + TooltipBox[ + GraphicsBox[{{ + GrayLevel[0], + RectangleBox[{0, 0}]}, { + GrayLevel[0], + RectangleBox[{1, -1}]}, { + RGBColor[0.363898, 0.618501, 0.782349], + RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> + "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, + FrameStyle -> + RGBColor[0.24259866666666668`, 0.412334, 0.521566], + FrameTicks -> None, PlotRangePadding -> None, ImageSize -> + Dynamic[{ + Automatic, 1.35 CurrentValue["FontCapHeight"]/ + AbsoluteCurrentValue[Magnification]}]], + StyleBox[ + RowBox[{"RGBColor", "[", + RowBox[{"0.363898`", ",", "0.618501`", ",", "0.782349`"}], + "]"}], NumberMarks -> False]], Appearance -> None, + BaseStyle -> {}, BaselinePosition -> Baseline, + DefaultBaseStyle -> {}, ButtonFunction :> + With[{Typeset`box$ = 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`", "]"}]}], "]"}]}], 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PointSize[0.0055000000000000005`], RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6]]}, { Directive[ - PointSize[0.004583333333333334], + PointSize[0.0055000000000000005`], RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[1.6]]}, { Directive[ - PointSize[0.004583333333333334], + PointSize[0.0055000000000000005`], RGBColor[0.922526, 0.385626, 0.209179], + AbsoluteThickness[1.6]]}, { + Directive[ + PointSize[0.0055000000000000005`], + RGBColor[0.528488, 0.470624, 0.701351], + AbsoluteThickness[1.6]]}, { + Directive[ + PointSize[0.0055000000000000005`], + RGBColor[0.772079, 0.431554, 0.102387], + AbsoluteThickness[1.6]]}, { + Directive[ + PointSize[0.0055000000000000005`], + RGBColor[0.363898, 0.618501, 0.782349], AbsoluteThickness[ - 1.6]]}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}}, {{}, \ -{}}}, {DisplayFunction -> Identity, GridLines -> {None, None}, - DisplayFunction -> Identity, DisplayFunction -> Identity, - DisplayFunction -> Identity, DisplayFunction -> Identity, AspectRatio -> + 1.6]]}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, \ +{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, \ +{}, {}, {}, {}, {}, {}, {}, {}, {}}}, {{}, {}}}, { + DisplayFunction -> Identity, GridLines -> {None, None}, DisplayFunction -> + Identity, DisplayFunction -> Identity, DisplayFunction -> Identity, + DisplayFunction -> Identity, AspectRatio -> NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, AxesLabel -> { FormBox["\[Beta]", TraditionalForm], FormBox[ SubscriptBox["\[Rho]", "0"], TraditionalForm]}, - AxesOrigin -> {0, -8.25549236615871}, DisplayFunction :> Identity, + AxesOrigin -> {0, -15.595562503347796`}, DisplayFunction :> Identity, Frame -> {{False, False}, {False, False}}, FrameLabel -> {{None, None}, {None, None}}, FrameTicks -> {{ Charting`ScaledTicks[{Log, Exp}], @@ -6235,16 +8333,17 @@ kyATY/eFb5cHrmpeiY1/ASmbLlI= Part[#, 1]], (Exp[#]& )[ Part[#, 2]]}& )}}, - PlotRange -> {{0, 8.}, {-8.25549236615871, -0.9930845931806697}}, - PlotRangeClipping -> True, PlotRangePadding -> {{ + PlotRange -> {{0, 17.5179}, {-15.595562503347796`, -0.9462894502005301}}, + PlotRangeClipping -> True, PlotRangePadding -> {{ Scaled[0.02], Scaled[0.02]}, { Scaled[0.02], Scaled[0.05]}}, Ticks -> {Automatic, Charting`ScaledTicks[{Log, Exp}]}}],FormBox[ FormBox[ - TemplateBox[{"\"4\"", "\"8\"", "\"16\"", "\"32\""}, "PointLegend", - DisplayFunction -> (FormBox[ + TemplateBox[{ + "\"4\"", "\"4\"", "\"4\"", "\"8\"", "\"8\"", "\"16\"", "\"16\""}, + "PointLegend", DisplayFunction -> (FormBox[ StyleBox[ StyleBox[ PaneBox[ @@ -6335,7 +8434,70 @@ kyATY/eFb5cHrmpeiY1/ASmbLlI= AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, ImageSize -> {20, 10}, PlotRangePadding -> None, ImagePadding -> Automatic, - BaselinePosition -> (Scaled[0.1] -> Baseline)], #4}}, + 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, @@ -6360,7 +8522,7 @@ kyATY/eFb5cHrmpeiY1/ASmbLlI= RowBox[{ RowBox[{"Directive", "[", RowBox[{ - RowBox[{"PointSize", "[", "0.004583333333333334`", "]"}], + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], ",", InterpretationBox[ ButtonBox[ @@ -6410,7 +8572,7 @@ kyATY/eFb5cHrmpeiY1/ASmbLlI= ",", RowBox[{"Directive", "[", RowBox[{ - RowBox[{"PointSize", "[", "0.004583333333333334`", "]"}], + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], ",", InterpretationBox[ ButtonBox[ @@ -6459,7 +8621,7 @@ kyATY/eFb5cHrmpeiY1/ASmbLlI= ",", RowBox[{"Directive", "[", RowBox[{ - RowBox[{"PointSize", "[", "0.004583333333333334`", "]"}], + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], ",", InterpretationBox[ ButtonBox[ @@ -6508,7 +8670,7 @@ kyATY/eFb5cHrmpeiY1/ASmbLlI= ",", RowBox[{"Directive", "[", RowBox[{ - RowBox[{"PointSize", "[", "0.004583333333333334`", "]"}], + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], ",", InterpretationBox[ ButtonBox[ @@ -6554,13 +8716,169 @@ kyATY/eFb5cHrmpeiY1/ASmbLlI= Automatic, Method -> "Preemptive"], RGBColor[0.922526, 0.385626, 0.209179], Editable -> False, Selectable -> False], ",", + RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], + ",", + RowBox[{"Directive", "[", + RowBox[{ + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], + ",", + 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$, + FrontEndResource["RGBColorValueSelector"], { + 0, {Left, Bottom}}, {Left, Top}, + "ClosingActions" -> { + "SelectionDeparture", "ParentChanged", + "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> + Automatic, Method -> "Preemptive"], + RGBColor[0.528488, 0.470624, 0.701351], Editable -> False, + Selectable -> False], ",", + RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], + ",", + RowBox[{"Directive", "[", + RowBox[{ + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], + ",", + InterpretationBox[ + ButtonBox[ + TooltipBox[ + GraphicsBox[{{ + GrayLevel[0], + RectangleBox[{0, 0}]}, { + GrayLevel[0], + RectangleBox[{1, -1}]}, { + RGBColor[0.772079, 0.431554, 0.102387], + RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> + "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, + FrameStyle -> + RGBColor[ + 0.5147193333333333, 0.28770266666666666`, + 0.06825800000000001], FrameTicks -> None, + PlotRangePadding -> None, ImageSize -> + Dynamic[{ + Automatic, 1.35 CurrentValue["FontCapHeight"]/ + AbsoluteCurrentValue[Magnification]}]], + StyleBox[ + RowBox[{"RGBColor", "[", + RowBox[{"0.772079`", ",", "0.431554`", ",", "0.102387`"}], + "]"}], NumberMarks -> False]], Appearance -> None, + BaseStyle -> {}, BaselinePosition -> Baseline, + DefaultBaseStyle -> {}, ButtonFunction :> + With[{Typeset`box$ = 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$, + FrontEndResource["RGBColorValueSelector"], { + 0, {Left, Bottom}}, {Left, Top}, + "ClosingActions" -> { + "SelectionDeparture", "ParentChanged", + "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> + Automatic, Method -> "Preemptive"], + RGBColor[0.772079, 0.431554, 0.102387], Editable -> False, + Selectable -> False], ",", + RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], + ",", + RowBox[{"Directive", "[", + RowBox[{ + RowBox[{"PointSize", "[", "0.0055000000000000005`", "]"}], + ",", + InterpretationBox[ + ButtonBox[ + TooltipBox[ + GraphicsBox[{{ + GrayLevel[0], + RectangleBox[{0, 0}]}, { + GrayLevel[0], + RectangleBox[{1, -1}]}, { + RGBColor[0.363898, 0.618501, 0.782349], + RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> + "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, + FrameStyle -> + RGBColor[0.24259866666666668`, 0.412334, 0.521566], + FrameTicks -> None, PlotRangePadding -> None, ImageSize -> + Dynamic[{ + Automatic, 1.35 CurrentValue["FontCapHeight"]/ + AbsoluteCurrentValue[Magnification]}]], + StyleBox[ + RowBox[{"RGBColor", "[", + RowBox[{"0.363898`", ",", "0.618501`", ",", "0.782349`"}], + "]"}], NumberMarks -> False]], Appearance -> None, + BaseStyle -> {}, BaselinePosition -> Baseline, + DefaultBaseStyle -> {}, ButtonFunction :> + With[{Typeset`box$ = 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}], "}"}], ",", + + 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[{"{", @@ -6571,8 +8889,10 @@ kyATY/eFb5cHrmpeiY1/ASmbLlI= RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",", RowBox[{"Joined", "\[Rule]", RowBox[{"{", - RowBox[{"True", ",", "True", ",", "True", ",", "True"}], - "}"}]}], ",", + + RowBox[{ + "True", ",", "True", ",", "True", ",", "True", ",", "True", + ",", "True", ",", "True"}], "}"}]}], ",", RowBox[{"LabelStyle", "\[Rule]", RowBox[{"{", "}"}]}], ",", RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), @@ 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"]"}], "[", "d", "]"}], "[", RowBox[{ RowBox[{"SortBy", "[", "\"\\"", "]"}], ",", RowBox[{ @@ -6640,7 +8964,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"#1", ",", RowBox[{"#2", "/", "L"}]}], "}"}], "&"}], "@@@", - RowBox[{"Ss", "[", "#", "]"}]}]}], "]"}], "&"}]}], "]"}], ",", + RowBox[{"Cs", "[", "#", "]"}]}]}], "]"}], "&"}]}], "]"}], ",", RowBox[{"Joined", "\[Rule]", "True"}], ",", RowBox[{"PlotRange", "\[Rule]", "All"}], ",", RowBox[{"PlotLegends", "\[Rule]", @@ -6649,13 +8973,15 @@ Cell[BoxData[ RowBox[{ RowBox[{"Select", "[", RowBox[{ - RowBox[{ - RowBox[{"Length", "[", "#rs", "]"}], "\[Equal]", "1"}], "&"}], - "]"}], "[", "d", "]"}], "[", + RowBox[{"#n", "\[Equal]", "16"}], "&"}], "]"}], "[", "d", "]"}], "[", RowBox[{ - RowBox[{"SortBy", "[", "\"\\"", "]"}], ",", + RowBox[{"SortBy", "[", + RowBox[{ + RowBox[{"Length", "[", "#rs", "]"}], "&"}], "]"}], ",", RowBox[{ - RowBox[{"ToString", "[", "#n", "]"}], "&"}]}], "]"}]}]}], ",", + RowBox[{"ToString", "[", + RowBox[{"Length", "[", "#rs", "]"}], "]"}], "&"}]}], "]"}]}]}], ",", + RowBox[{"AxesLabel", "\[Rule]", RowBox[{"{", RowBox[{"\[Beta]", ",", "c"}], "}"}]}], ",", @@ -6674,9 +9000,12 @@ Cell[BoxData[ 3.785091820841757*^9, {3.7850923521075983`*^9, 3.7850923574959993`*^9}, { 3.78509690891121*^9, 3.785096936358189*^9}, 3.78509697729675*^9, { 3.7850970146406317`*^9, 3.7850971026251087`*^9}, {3.785097982441205*^9, - 3.7850979925704117`*^9}, {3.785100271030403*^9, 3.785100300887092*^9}}, - CellLabel-> - "In[106]:=",ExpressionUUID->"48490c56-8291-40ec-833e-a1b130930caa"], + 3.7850979925704117`*^9}, {3.785100271030403*^9, 3.785100300887092*^9}, { + 3.785106684556616*^9, 3.785106752945895*^9}, {3.785106794946257*^9, + 3.7851067994120827`*^9}, {3.785107139974049*^9, 3.7851071403405867`*^9}, { + 3.785107270878482*^9, 3.78510727946705*^9}, {3.785108391939354*^9, + 3.7851084062349777`*^9}, 3.7859373802534227`*^9}, + CellLabel->"In[20]:=",ExpressionUUID->"48490c56-8291-40ec-833e-a1b130930caa"], Cell[BoxData[ 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