0/∣❁∣◇⯏∣⑄∣⯏.../Ⱉ𑽇ⵙ✢𐫱🝊✸Ⓞ.../ꖅ⦻⛋🟏✢𖥠Ⓞ𖧷.../✸⛋⦻𖥠◇Ⓞ🟏Ⓞ�.../⛋⯏ⵙ✢⛋✸ꖅ⊞✢.../ᗺИ.⚪ᗝ⚪ꖴ⚪Ⓞ⚪...

(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 12.2' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[     54075,       1310]
NotebookOptionsPosition[     52452,       1276]
NotebookOutlinePosition[     53270,       1300]
CellTagsIndexPosition[     53227,       1297]
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[{
 RowBox[{
  RowBox[{
   RowBox[{"ariasD", "[", "0", "]"}], " ", "=", " ", "1"}], ";"}], "\n", 
 RowBox[{
  RowBox[{
   RowBox[{"ariasD", "[", 
    RowBox[{"n_Integer", "?", "Positive"}], "]"}], " ", ":=", " ", 
   RowBox[{
    RowBox[{"ariasD", "[", "n", "]"}], " ", "=", " ", 
    RowBox[{
     RowBox[{"Sum", "[", 
      RowBox[{
       RowBox[{
        RowBox[{"2", "^", 
         RowBox[{"(", 
          RowBox[{
           RowBox[{"(", 
            RowBox[{
             RowBox[{"k", " ", 
              RowBox[{"(", 
               RowBox[{"k", " ", "-", " ", "1"}], ")"}]}], " ", "-", " ", 
             RowBox[{"n", " ", 
              RowBox[{"(", 
               RowBox[{"n", " ", "-", " ", "1"}], ")"}]}]}], ")"}], "/", 
           "2"}], ")"}]}], " ", 
        RowBox[{
         RowBox[{"ariasD", "[", "k", "]"}], "/", 
         RowBox[{
          RowBox[{"(", 
           RowBox[{"n", " ", "-", " ", "k", " ", "+", " ", "1"}], ")"}], 
          "!"}]}]}], ",", " ", 
       RowBox[{"{", 
        RowBox[{"k", ",", " ", "0", ",", " ", 
         RowBox[{"n", " ", "-", " ", "1"}]}], "}"}]}], "]"}], "/", 
     RowBox[{"(", 
      RowBox[{
       RowBox[{"2", "^", "n"}], " ", "-", " ", "1"}], ")"}]}]}]}], 
  ";"}], "\n", 
 RowBox[{
  RowBox[{
   RowBox[{"iFabiusF", "[", "x_", "]"}], ":=", 
   RowBox[{"Module", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       RowBox[{"prec", "=", 
        RowBox[{"Precision", "[", "x", "]"}]}], ",", "n", ",", "p", ",", "q", 
       ",", "s", ",", "tol", ",", "w", ",", "y", ",", "z"}], "}"}], ",", 
     RowBox[{
      RowBox[{"If", "[", 
       RowBox[{
        RowBox[{"x", "<", "0"}], ",", 
        RowBox[{"Return", "[", 
         RowBox[{"0", ",", "Module"}], "]"}]}], "]"}], ";", 
      RowBox[{"tol", "=", 
       RowBox[{"10", "^", 
        RowBox[{"(", 
         RowBox[{"-", "prec"}], ")"}]}]}], ";", "\n", 
      RowBox[{"z", "=", 
       RowBox[{"SetPrecision", "[", 
        RowBox[{"x", ",", "Infinity"}], "]"}]}], ";", 
      RowBox[{"s", "=", "1"}], ";", 
      RowBox[{"y", "=", "0"}], ";", "\n", 
      RowBox[{"z", "=", 
       RowBox[{"If", "[", 
        RowBox[{
         RowBox[{"0", "\[LessEqual]", "z", "\[LessEqual]", "2"}], ",", 
         RowBox[{"1", "-", 
          RowBox[{"Abs", "[", 
           RowBox[{"1", "-", "z"}], "]"}]}], ",", 
         RowBox[{
          RowBox[{"q", "=", 
           RowBox[{"Quotient", "[", 
            RowBox[{"z", ",", "2"}], "]"}]}], ";", "\n", 
          RowBox[{"If", "[", 
           RowBox[{
            RowBox[{
             RowBox[{"ThueMorse", "[", "q", "]"}], "==", "1"}], ",", 
            RowBox[{"s", "=", 
             RowBox[{"-", "1"}]}]}], "]"}], ";", "\n", 
          RowBox[{"1", "-", 
           RowBox[{"Abs", "[", 
            RowBox[{"1", "-", "z", "+", 
             RowBox[{"2", " ", "q"}]}], "]"}]}]}]}], "]"}]}], ";", "\n", 
      RowBox[{"While", "[", 
       RowBox[{
        RowBox[{"z", ">", "0"}], ",", 
        RowBox[{
         RowBox[{"n", "=", 
          RowBox[{"-", 
           RowBox[{"Floor", "[", 
            RowBox[{"RealExponent", "[", 
             RowBox[{"z", ",", "2"}], "]"}], "]"}]}]}], ";", 
         RowBox[{"p", "=", 
          RowBox[{"2", "^", "n"}]}], ";", "\n", 
         RowBox[{"z", "-=", 
          RowBox[{"1", "/", "p"}]}], ";", 
         RowBox[{"w", "=", "1"}], ";", "\n", 
         RowBox[{"Do", "[", 
          RowBox[{
           RowBox[{
            RowBox[{"w", "=", 
             RowBox[{
              RowBox[{"ariasD", "[", "m", "]"}], "+", 
              RowBox[{"p", " ", "z", " ", 
               RowBox[{"w", "/", 
                RowBox[{"(", 
                 RowBox[{"n", "-", "m", "+", "1"}], ")"}]}]}]}]}], ";", 
            RowBox[{"p", "/=", "2"}]}], ",", 
           RowBox[{"{", 
            RowBox[{"m", ",", "n"}], "}"}]}], "]"}], ";", "\n", 
         RowBox[{"y", "=", 
          RowBox[{"w", "-", "y"}]}], ";", "\n", 
         RowBox[{"If", "[", 
          RowBox[{
           RowBox[{
            RowBox[{"Abs", "[", "w", "]"}], "<", 
            RowBox[{
             RowBox[{"Abs", "[", "y", "]"}], " ", "tol"}]}], ",", 
           RowBox[{"Break", "[", "]"}]}], "]"}]}]}], "]"}], ";", "\n", 
      RowBox[{"SetPrecision", "[", 
       RowBox[{
        RowBox[{"s", " ", 
         RowBox[{"Abs", "[", "y", "]"}]}], ",", "prec"}], "]"}]}]}], "]"}]}], 
  ";"}], "\n", 
 RowBox[{
  RowBox[{
   RowBox[{"FabiusF", "[", "Infinity", "]"}], " ", "=", " ", 
   RowBox[{"Interval", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"-", "1"}], ",", " ", "1"}], "}"}], "]"}]}], ";"}], "\n", 
 RowBox[{
  RowBox[{
   RowBox[{
    RowBox[{"FabiusF", "[", 
     RowBox[{"x_", "?", "NumberQ"}], "]"}], " ", "/;", " ", 
    RowBox[{"If", "[", 
     RowBox[{
      RowBox[{
       RowBox[{"Im", "[", "x", "]"}], " ", "==", " ", "0"}], ",", " ", 
      RowBox[{"TrueQ", "[", 
       RowBox[{
        RowBox[{
         RowBox[{"Composition", "[", 
          RowBox[{
           RowBox[{
            RowBox[{"BitAnd", "[", 
             RowBox[{"#", ",", " ", 
              RowBox[{"#", " ", "-", " ", "1"}]}], "]"}], " ", "&"}], ",", 
           " ", "Denominator"}], "]"}], "[", "x", "]"}], " ", "==", " ", 
        "0"}], "]"}], ",", " ", "False"}], "]"}]}], " ", ":=", " ", 
   RowBox[{"iFabiusF", "[", "x", "]"}]}], ";"}], "\n", 
 RowBox[{
  RowBox[{
   RowBox[{
    RowBox[{"Derivative", "[", "n_Integer", "]"}], "[", "FabiusF", "]"}], " ",
    ":=", " ", 
   RowBox[{
    RowBox[{
     RowBox[{"2", "^", 
      RowBox[{"(", 
       RowBox[{"n", " ", 
        RowBox[{
         RowBox[{"(", 
          RowBox[{"n", " ", "+", " ", "1"}], ")"}], "/", "2"}]}], ")"}]}], 
     " ", 
     RowBox[{"FabiusF", "[", 
      RowBox[{
       RowBox[{"2", "^", "n"}], " ", "#"}], "]"}]}], " ", "&"}]}], 
  ";"}], "\n", 
 RowBox[{
  RowBox[{
   RowBox[{
    RowBox[{
     RowBox[{"SetAttributes", "[", 
      RowBox[{"FabiusF", ",", " ", 
       RowBox[{"{", 
        RowBox[{"NumericFunction", ",", " ", "Listable"}], "}"}]}], "]"}], 
     ";"}], "//", "Timing"}], "//", "AbsoluteTiming"}], ";"}]}], "Input",
 CellFrame->0,
 CellDingbat->None,
 TextAlignment->Center,
 FontFamily->"Segoe UI Emoji",
 FontSize->12,
 FontWeight->"Plain",
 CellLabel->
  "11/28/23 03:35:17 \
In[41]:=",ExpressionUUID->"49e27e26-aae4-40b5-bafd-eccd5a46860c"],

Cell[BoxData[{
 RowBox[{"ClearAll", "[", 
  RowBox[{"iCurvaturePlotHelper", ",", "CurvaturePlot"}], "]"}], "\n", 
 RowBox[{
  RowBox[{"iCurvaturePlotHelper", "[", 
   RowBox[{
    RowBox[{"f_", "?", 
     RowBox[{"(", 
      RowBox[{
       RowBox[{
        RowBox[{"Head", "[", "#", "]"}], "=!=", "List"}], "&"}], ")"}]}], ",", 
    RowBox[{"{", 
     RowBox[{"t_", ",", "tmin_", ",", "tmax_"}], "}"}], ",", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"x0_", ",", "y0_"}], "}"}], ",", "\[Theta]0_"}], "}"}], ",", 
    RowBox[{"opts", ":", 
     RowBox[{"OptionsPattern", "[", "]"}]}]}], "]"}], ":=", 
  RowBox[{"Module", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{"sol", ",", "\[Theta]", ",", "x", ",", "y", ",", "if"}], "}"}], 
    ",", 
    RowBox[{
     RowBox[{"sol", "=", 
      RowBox[{"NDSolve", "[", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{
          RowBox[{
           RowBox[{
            RowBox[{"\[Theta]", "'"}], "[", "t", "]"}], "\[Equal]", "f"}], 
          ",", 
          RowBox[{
           RowBox[{
            RowBox[{"x", "'"}], "[", "t", "]"}], "\[Equal]", 
           RowBox[{"Cos", "[", 
            RowBox[{"\[Theta]", "[", "t", "]"}], "]"}]}], ",", 
          RowBox[{
           RowBox[{
            RowBox[{"y", "'"}], "[", "t", "]"}], "\[Equal]", 
           RowBox[{"Sin", "[", 
            RowBox[{"\[Theta]", "[", "t", "]"}], "]"}]}], ",", 
          RowBox[{
           RowBox[{"\[Theta]", "[", "tmin", "]"}], "\[Equal]", "\[Theta]0"}], 
          ",", 
          RowBox[{
           RowBox[{"x", "[", "tmin", "]"}], "\[Equal]", "x0"}], ",", 
          RowBox[{
           RowBox[{"y", "[", "tmin", "]"}], "\[Equal]", "y0"}]}], "}"}], ",", 
        RowBox[{"{", 
         RowBox[{"x", ",", "y"}], "}"}], ",", 
        RowBox[{"{", 
         RowBox[{"t", ",", "tmin", ",", "tmax"}], "}"}], ",", "opts"}], 
       "]"}]}], ";", "\[IndentingNewLine]", 
     RowBox[{"if", "=", 
      RowBox[{
       RowBox[{
        RowBox[{"{", 
         RowBox[{
          RowBox[{"x", "[", "#", "]"}], ",", 
          RowBox[{"y", "[", "#", "]"}]}], "}"}], "&"}], "/.", 
       RowBox[{"First", "[", "sol", "]"}]}]}], ";", "\[IndentingNewLine]", 
     "if"}]}], "]"}]}], "\n", 
 RowBox[{
  RowBox[{"CurvaturePlot", "[", 
   RowBox[{"f_", ",", 
    RowBox[{"{", 
     RowBox[{"t_", ",", "tmin_", ",", "tmax_"}], "}"}], ",", 
    RowBox[{"opts", ":", 
     RowBox[{"OptionsPattern", "[", "]"}]}]}], "]"}], ":=", 
  RowBox[{"CurvaturePlot", "[", 
   RowBox[{"f", ",", 
    RowBox[{"{", 
     RowBox[{"t", ",", "tmin", ",", "tmax"}], "}"}], ",", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"0", ",", "0"}], "}"}], ",", "0"}], "}"}], ",", "opts"}], 
   "]"}]}], "\n", 
 RowBox[{
  RowBox[{"CurvaturePlot", "[", 
   RowBox[{"f_", ",", 
    RowBox[{"{", 
     RowBox[{"t_", ",", "tmin_", ",", "tmax_"}], "}"}], ",", 
    RowBox[{"p", ":", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{"x0_", ",", "y0_"}], "}"}], ",", "\[Theta]0_"}], "}"}]}], ",", 
    RowBox[{"opts", ":", 
     RowBox[{"OptionsPattern", "[", "]"}]}]}], "]"}], ":=", 
  RowBox[{"Module", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{
     "\[Theta]", ",", "x", ",", "y", ",", "sol", ",", "rlsplot", ",", 
      "rlsndsolve", ",", "if", ",", "ifs"}], "}"}], ",", 
    RowBox[{
     RowBox[{"rlsplot", "=", 
      RowBox[{"FilterRules", "[", 
       RowBox[{
        RowBox[{"{", "opts", "}"}], ",", 
        RowBox[{"Options", "[", "ParametricPlot", "]"}]}], "]"}]}], ";", 
     "\[IndentingNewLine]", 
     RowBox[{"rlsndsolve", "=", 
      RowBox[{"FilterRules", "[", 
       RowBox[{
        RowBox[{"{", "opts", "}"}], ",", 
        RowBox[{"Options", "[", "NDSolve", "]"}]}], "]"}]}], ";", 
     "\[IndentingNewLine]", 
     RowBox[{"If", "[", 
      RowBox[{
       RowBox[{
        RowBox[{"Head", "[", "f", "]"}], "===", "List"}], ",", 
       RowBox[{
        RowBox[{"ifs", "=", 
         RowBox[{
          RowBox[{
           RowBox[{"iCurvaturePlotHelper", "[", 
            RowBox[{"#", ",", 
             RowBox[{"{", 
              RowBox[{"t", ",", "tmin", ",", "tmax"}], "}"}], ",", "p", ",", 
             RowBox[{"Evaluate", "@", 
              RowBox[{"(", 
               RowBox[{"Sequence", "@@", "rlsndsolve"}], ")"}]}]}], "]"}], 
           "&"}], "/@", "f"}]}], ";", "\[IndentingNewLine]", 
        RowBox[{"ParametricPlot", "[", 
         RowBox[{
          RowBox[{"Evaluate", "[", 
           RowBox[{
            RowBox[{
             RowBox[{"#", "[", "tplot", "]"}], "&"}], "/@", "ifs"}], "]"}], 
          ",", 
          RowBox[{"{", 
           RowBox[{"tplot", ",", "tmin", ",", "tmax"}], "}"}], ",", 
          RowBox[{"Evaluate", "@", 
           RowBox[{"(", 
            RowBox[{"Sequence", "@@", "rlsplot"}], ")"}]}]}], "]"}]}], ",", 
       RowBox[{
        RowBox[{"if", "=", 
         RowBox[{"iCurvaturePlotHelper", "[", 
          RowBox[{"f", ",", 
           RowBox[{"{", 
            RowBox[{"t", ",", "tmin", ",", "tmax"}], "}"}], ",", "p", ",", 
           RowBox[{"Evaluate", "@", 
            RowBox[{"(", 
             RowBox[{"Sequence", "@@", "rlsndsolve"}], ")"}]}]}], "]"}]}], 
        ";", "\[IndentingNewLine]", 
        RowBox[{"ParametricPlot", "[", 
         RowBox[{
          RowBox[{"Evaluate", "[", 
           RowBox[{"if", "[", "tplot", "]"}], "]"}], ",", 
          RowBox[{"{", 
           RowBox[{"tplot", ",", "tmin", ",", "tmax"}], "}"}], ",", 
          RowBox[{"Evaluate", "@", 
           RowBox[{"(", 
            RowBox[{"Sequence", "@@", "rlsplot"}], ")"}]}]}], "]"}]}]}], 
      "]"}]}]}], "]"}]}]}], "Input",
 FontFamily->"Segoe UI Emoji",
 FontSize->12,
 FontWeight->"Plain",
 CellLabel->
  "11/28/23 03:35:17 \
In[48]:=",ExpressionUUID->"9b9d9fed-f6b7-4b00-b1f1-f2b74b7eebba"],

Cell[BoxData[
 RowBox[{"(*", 
  RowBox[{
   RowBox[{"\:1513\:1515", "=", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"MaxRecursion", "\[Rule]", "0"}], ",", 
      RowBox[{"PlotPoints", "\[Rule]", 
       RowBox[{"1", "+", 
        RowBox[{"2", "^", "8"}]}]}], ",", 
      RowBox[{"Ticks", "\[Rule]", 
       RowBox[{"{", 
        RowBox[{"Automatic", ",", "Automatic"}], "}"}]}], ",", 
      RowBox[{"ImageSize", "\[Rule]", "Full"}], ",", 
      RowBox[{"PlotRange", "\[Rule]", "Full"}]}], "}"}]}], ";", 
   "\[IndentingNewLine]", 
   RowBox[{"Show", "[", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{"CurvaturePlot", "[", 
      RowBox[{
       RowBox[{"Cos", "[", "X", "]"}], ",", 
       RowBox[{"{", 
        RowBox[{"X", ",", "0", ",", 
         RowBox[{"4", " ", "\[Pi]"}]}], "}"}], ",", 
       RowBox[{"Evaluate", "[", "\:1513\:1515", "]"}]}], "]"}], 
     "\[IndentingNewLine]", ",", "\[IndentingNewLine]", 
     RowBox[{"Plot", "[", 
      RowBox[{
       RowBox[{
        RowBox[{"(", 
         RowBox[{
          RowBox[{
           RowBox[{"-", 
            RowBox[{"Cos", "[", 
             RowBox[{"X", "*", 
              RowBox[{"Pi", "/", "2.4039598877241946"}]}], "]"}]}], "/", 
           "2"}], "+", ".5"}], ")"}], "*", "1.7867179537183144"}], ",", 
       RowBox[{"{", 
        RowBox[{"X", ",", "0", ",", 
         RowBox[{"4", "*", 
          RowBox[{"\[Pi]", "/", "Pi"}], "*", "2.4039598877241946"}]}], "}"}], 
       ",", 
       RowBox[{"Evaluate", "[", "\:1513\:1515", "]"}]}], "]"}], 
     "\[IndentingNewLine]", ",", "\[IndentingNewLine]", 
     RowBox[{"Evaluate", "[", "\:1513\:1515", "]"}]}], "\[IndentingNewLine]", 
    "]"}]}], "*)"}]], "Input",
 FontFamily->"Segoe UI Emoji",
 FontSize->12,
 FontWeight->"Plain",
 CellLabel->
  "11/28/23 03:35:17 \
In[52]:=",ExpressionUUID->"1d82449f-143c-48c0-b41d-e1be57059f1b"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"\:146b\:146d", "=", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"MaxRecursion", "\[Rule]", "0"}], ",", 
     RowBox[{"PlotPoints", "\[Rule]", 
      RowBox[{"1", "+", 
       RowBox[{"2", "^", "0"}]}]}]}], "}"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"\:1513\:1515", "=", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"MaxRecursion", "\[Rule]", "0"}], ",", 
     RowBox[{"PlotPoints", "\[Rule]", 
      RowBox[{"1", "+", 
       RowBox[{"2", "^", "8"}]}]}], ",", 
     RowBox[{"Ticks", "\[Rule]", 
      RowBox[{"{", 
       RowBox[{"Automatic", ",", "Automatic"}], "}"}]}], ",", 
     RowBox[{"ImageSize", "\[Rule]", "512"}], ",", 
     RowBox[{"PlotRange", "\[Rule]", "Full"}], ",", 
     RowBox[{"AspectRatio", "\[Rule]", "1"}]}], "}"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"\:1586\:1587", "=", 
   RowBox[{"4", "*", 
    RowBox[{"ArcTan", "[", "1", "]"}], "*", "1"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"\:15e9", "=", 
    RowBox[{"{", 
     RowBox[{"X", ",", "0", ",", "Pi"}], "}"}]}], ";"}], 
  "\[IndentingNewLine]", 
  RowBox[{"(*", 
   RowBox[{
    RowBox[{"\:a5f3", "=", 
     RowBox[{
      RowBox[{"-", 
       RowBox[{"TriangleWave", "[", 
        RowBox[{
         RowBox[{
          RowBox[{"X", "/", "\:1586\:1587"}], "*", ".5"}], "-", ".25"}], 
        "]"}]}], "/", "1"}]}], ";"}], "*)"}]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"\:a5f3", "=", 
   RowBox[{
    RowBox[{"-", 
     RowBox[{"(", 
      RowBox[{"X", "-", 
       RowBox[{"(", 
        RowBox[{"Pi", "/", "2"}], ")"}]}], ")"}]}], "/", 
    RowBox[{"(", 
     RowBox[{"Pi", "/", "2"}], ")"}]}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"Show", "[", "\[IndentingNewLine]", 
  RowBox[{
   RowBox[{"CurvaturePlot", "[", 
    RowBox[{
     RowBox[{"Evaluate", "[", "\:a5f3", "]"}], ",", 
     RowBox[{"Evaluate", "[", "\:15e9", "]"}], ",", 
     RowBox[{"Evaluate", "[", "\:1513\:1515", "]"}]}], "]"}], 
   "\[IndentingNewLine]", ",", "\[IndentingNewLine]", 
   RowBox[{"Plot", "[", 
    RowBox[{
     RowBox[{"Evaluate", "[", "\:a5f3", "]"}], ",", 
     RowBox[{"Evaluate", "[", "\:15e9", "]"}], ",", 
     RowBox[{"Evaluate", "[", "\:1513\:1515", "]"}]}], "]"}], 
   "\[IndentingNewLine]", ",", "\[IndentingNewLine]", 
   RowBox[{"Evaluate", "[", "\:1513\:1515", "]"}]}], "\[IndentingNewLine]", 
  "]"}], "\[IndentingNewLine]", 
 RowBox[{"DecimalForm", "[", 
  RowBox[{
   RowBox[{"N", "[", 
    RowBox[{"TableForm", "[", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Flatten", "[", 
        RowBox[{"DecimalForm", "[", 
         RowBox[{
          RowBox[{"N", "[", 
           RowBox[{
            RowBox[{"Cases", "[", 
             RowBox[{
              RowBox[{"Plot", "[", 
               RowBox[{
                RowBox[{"Evaluate", "[", "\:a5f3", "]"}], ",", 
                RowBox[{"Evaluate", "[", "\:15e9", "]"}], ",", 
                RowBox[{"Evaluate", "[", "\:146b\:146d", "]"}]}], "]"}], ",", 
              RowBox[{
               RowBox[{"Line", "[", "X__", "]"}], "\[Rule]", "X"}], ",", 
              "Infinity"}], "]"}], ",", "1"}], "]"}], ",", "256"}], "]"}], 
        "]"}], "\[IndentingNewLine]", ",", "\[IndentingNewLine]", 
       RowBox[{"Flatten", "[", 
        RowBox[{"DecimalForm", "[", 
         RowBox[{
          RowBox[{"N", "[", 
           RowBox[{
            RowBox[{"Cases", "[", 
             RowBox[{
              RowBox[{"CurvaturePlot", "[", 
               RowBox[{
                RowBox[{"Evaluate", "[", "\:a5f3", "]"}], ",", 
                RowBox[{"Evaluate", "[", "\:15e9", "]"}], ",", 
                RowBox[{"Evaluate", "[", "\:146b\:146d", "]"}]}], "]"}], ",", 
              RowBox[{
               RowBox[{"Line", "[", "X__", "]"}], "\[Rule]", "X"}], ",", 
              "Infinity"}], "]"}], ",", "1"}], "]"}], ",", "256"}], "]"}], 
        "]"}]}], "\[IndentingNewLine]", "}"}], "]"}], "]"}], ",", "256"}], 
  "]"}]}], "Input",
 FontFamily->"Segoe UI Emoji",
 FontSize->12,
 FontWeight->"Plain",
 CellLabel->
  "11/28/23 03:52:52 \
In[394]:=",ExpressionUUID->"148f4d9e-62d6-414f-9bd8-79eeac336b4b"],

Cell[BoxData[
 GraphicsBox[{{{{}, {}, 
     TagBox[
      {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
       Opacity[1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJxd1nc41f/7B/BzHCshEcouI0UqKg16vhVNkgaplIgUklChQUmixafSMFpK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        "]]},
      Annotation[#, "Charting`Private`Tag$13624#1"]& ]}, {}}, {{{}, {}, 
     TagBox[
      {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
       Opacity[1.], LineBox[CompressedData["
1:eJwt13k0FO73B/BZ7ENFZSuJtChKSVniPiiaVm0UhXwi0YKUGLKrlGinHVmz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        "]]},
      Annotation[#, "Charting`Private`Tag$13657#1"]& ]}, {}}},
  MaxRecursion -> 0,
  PlotPoints -> 257,
  AspectRatio->1,
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->512,
  Method->{
   "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "ScalingFunctions" -> 
    None},
  PlotRange->Full,
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.05], 
     Scaled[0.05]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 FontSize->12,
 FontWeight->"Plain",
 CellLabel->
  "11/28/23 03:52:52 \
Out[399]=",ExpressionUUID->"6ad981a0-60d8-4ad7-bc69-c7a1d08db158"],

Cell[BoxData[
 TagBox[
  TagBox[
   TagBox[GridBox[{
      {
       TagBox[
        RowBox[{"{", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{"{", 
            RowBox[{
             InterpretationBox[
              StyleBox["\<\"0.000003141592653589793\"\>",
               ShowStringCharacters->False],
              3.141592653589793*^-6,
              AutoDelete->True], ",", 
             InterpretationBox[
              StyleBox["\<\"0.999998\"\>",
               ShowStringCharacters->False],
              0.999998,
              AutoDelete->True]}], "}"}], ",", 
           RowBox[{"{", 
            RowBox[{
             InterpretationBox[
              StyleBox["\<\"3.14158951199714\"\>",
               ShowStringCharacters->False],
              3.1415895119971395`,
              AutoDelete->True], ",", 
             InterpretationBox[
              StyleBox["\<\"-0.999998\"\>",
               ShowStringCharacters->False],
              -0.999998,
              AutoDelete->True]}], "}"}]}], "}"}], "}"}],
        DecimalForm[#, 256]& ]},
      {
       TagBox[
        RowBox[{"{", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{"{", 
            RowBox[{
             InterpretationBox[
              StyleBox["\<\"0.\"\>",
               ShowStringCharacters->False],
              0.,
              AutoDelete->True], ",", 
             InterpretationBox[
              StyleBox["\<\"0.\"\>",
               ShowStringCharacters->False],
              0.,
              AutoDelete->True]}], "}"}], ",", 
           RowBox[{"{", 
            RowBox[{
             InterpretationBox[
              StyleBox["\<\"2.644715082726751\"\>",
               ShowStringCharacters->False],
              2.644715082726751,
              AutoDelete->True], ",", 
             InterpretationBox[
              StyleBox["\<\"1.531824801015901\"\>",
               ShowStringCharacters->False],
              1.5318248010159012`,
              AutoDelete->True]}], "}"}]}], "}"}], "}"}],
        DecimalForm[#, 256]& ]}
     },
     GridBoxAlignment->{"Columns" -> {{Left}}, "Rows" -> {{Baseline}}},
     GridBoxSpacings->{"Columns" -> {
         Offset[0.27999999999999997`], {
          Offset[0.5599999999999999]}, 
         Offset[0.27999999999999997`]}, "Rows" -> {
         Offset[0.2], {
          Offset[0.4]}, 
         Offset[0.2]}}],
    Column],
   Function[BoxForm`e$, 
    TableForm[BoxForm`e$]]],
  DecimalForm[#, 256]& ]], "Output",
 FontSize->12,
 FontWeight->"Plain",
 CellLabel->
  "11/28/23 03:52:52 \
Out[400]//DecimalForm=",ExpressionUUID->"400fe22f-5fdd-42d7-a1bb-\
2bf2e3b699ed"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"\:146b\:146d", "=", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"MaxRecursion", "\[Rule]", "0"}], ",", 
     RowBox[{"PlotPoints", "\[Rule]", 
      RowBox[{"1", "+", 
       RowBox[{"2", "^", "0"}]}]}]}], "}"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"\:1513\:1515", "=", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"MaxRecursion", "\[Rule]", "0"}], ",", 
     RowBox[{"PlotPoints", "\[Rule]", 
      RowBox[{"1", "+", 
       RowBox[{"2", "^", "8"}]}]}], ",", 
     RowBox[{"Ticks", "\[Rule]", 
      RowBox[{"{", 
       RowBox[{"Automatic", ",", "Automatic"}], "}"}]}], ",", 
     RowBox[{"ImageSize", "\[Rule]", "176"}], ",", 
     RowBox[{"PlotRange", "\[Rule]", "Full"}], ",", 
     RowBox[{"AspectRatio", "\[Rule]", "4"}]}], "}"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"\:1586\:1587", "=", 
   RowBox[{"{", 
    RowBox[{"X", ",", "0", ",", 
     RowBox[{"Pi", "/", 
      RowBox[{"(", "2.088976311546913772239187217936", ")"}]}]}], "}"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"\:a5f3", "=", 
   RowBox[{
    RowBox[{"(", 
     RowBox[{
      RowBox[{
       RowBox[{"(", 
        RowBox[{
         RowBox[{"(", 
          RowBox[{"Pi", "/", "2"}], ")"}], "-", 
         RowBox[{"X", "*", 
          RowBox[{"(", "2.088976311546913772239187217936", ")"}]}]}], ")"}], 
       "/", 
       RowBox[{"(", 
        RowBox[{"Pi", "/", "2"}], ")"}]}], "*", "1.4910479522822721"}], ")"}],
     "*", 
    RowBox[{"(", "2.088976311546913772239187217936", ")"}]}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{"Show", "[", "    ", 
  RowBox[{
   RowBox[{"CurvaturePlot", "[", 
    RowBox[{
     RowBox[{"Evaluate", "[", "\:a5f3", "]"}], ",", 
     RowBox[{"Evaluate", "[", "\:1586\:1587", "]"}], ",", 
     RowBox[{"Evaluate", "[", "\:1513\:1515", "]"}]}], "]"}], "    ", ",", 
   "    ", 
   RowBox[{"Plot", "[", 
    RowBox[{
     RowBox[{"Evaluate", "[", "\:a5f3", "]"}], ",", 
     RowBox[{"Evaluate", "[", "\:1586\:1587", "]"}], ",", 
     RowBox[{"Evaluate", "[", "\:1513\:1515", "]"}]}], "]"}], "    ", ",", 
   "    ", 
   RowBox[{"Evaluate", "[", "\:1513\:1515", "]"}]}], "    ", 
  "]"}], "\[IndentingNewLine]", 
 RowBox[{"TableForm", "[", 
  RowBox[{"{", "\[IndentingNewLine]", 
   RowBox[{
    RowBox[{"Flatten", "[", 
     RowBox[{"DecimalForm", "[", 
      RowBox[{
       RowBox[{"N", "[", 
        RowBox[{
         RowBox[{"Cases", "[", 
          RowBox[{
           RowBox[{"Plot", "[", 
            RowBox[{
             RowBox[{"Evaluate", "[", "\:a5f3", "]"}], ",", 
             RowBox[{"Evaluate", "[", "\:1586\:1587", "]"}], ",", 
             RowBox[{"Evaluate", "[", "\:146b\:146d", "]"}]}], "]"}], ",", 
           RowBox[{
            RowBox[{"Line", "[", "X__", "]"}], "\[Rule]", "X"}], ",", 
           "Infinity"}], "]"}], ",", "1"}], "]"}], ",", "256"}], "]"}], "]"}],
     "\[IndentingNewLine]", ",", "\[IndentingNewLine]", 
    RowBox[{"Flatten", "[", 
     RowBox[{"DecimalForm", "[", 
      RowBox[{
       RowBox[{"N", "[", 
        RowBox[{
         RowBox[{"Cases", "[", 
          RowBox[{
           RowBox[{"CurvaturePlot", "[", 
            RowBox[{
             RowBox[{"Evaluate", "[", "\:a5f3", "]"}], ",", 
             RowBox[{"Evaluate", "[", "\:1586\:1587", "]"}], ",", 
             RowBox[{"Evaluate", "[", "\:146b\:146d", "]"}]}], "]"}], ",", 
           RowBox[{
            RowBox[{"Line", "[", "X__", "]"}], "\[Rule]", "X"}], ",", 
           "Infinity"}], "]"}], ",", "1"}], "]"}], ",", "256"}], "]"}], 
     "]"}]}], "\[IndentingNewLine]", "}"}], "]"}]}], "Input",
 FontFamily->"Segoe UI Emoji",
 FontSize->12,
 FontWeight->"Plain",
 CellLabel->
  "11/28/23 06:21:12 \
In[2805]:=",ExpressionUUID->"ac10700d-8814-4f2c-9e28-65b26f1985ed"],

Cell[BoxData[
 GraphicsBox[{{{{}, {}, 
     TagBox[
      {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
       Opacity[1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJxdl2k0FXzU9pHIUBRlrFSi1C1NIsMVDTIkmZKQlAaplNuUWcqQMpQhUoZC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        "]]},
      Annotation[#, "Charting`Private`Tag$123711#1"]& ]}, {}}, {{{}, {}, 
     TagBox[
      {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
       Opacity[1.], LineBox[CompressedData["
1:eJwtV2k01P//HcyMqWxFm+xCZIvkm+31KRSilLRYWlTaUCHt+yJEUkhKUUnR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        "]]},
      Annotation[#, "Charting`Private`Tag$123744#1"]& ]}, {}}},
  MaxRecursion -> 0,
  PlotPoints -> 257,
  AspectRatio->4,
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->176,
  Method->{
   "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "ScalingFunctions" -> 
    None},
  PlotRange->Full,
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.05], 
     Scaled[0.05]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 FontSize->12,
 CellLabel->
  "11/28/23 06:21:12 \
Out[2809]=",ExpressionUUID->"e2e63318-abe3-4707-ab3f-c9e90cd69beb"],

Cell[BoxData[
 TagBox[
  TagBox[GridBox[{
     {
      TagBox[
       RowBox[{"{", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{
            InterpretationBox[
             StyleBox["\<\"0.00000150389099015843\"\>",
              ShowStringCharacters->False],
             1.50389099015843*^-6,
             AutoDelete->True], ",", 
            InterpretationBox[
             StyleBox["\<\"3.114757622170496\"\>",
              ShowStringCharacters->False],
             3.1147576221704965`,
             AutoDelete->True]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{
            InterpretationBox[
             StyleBox["\<\"1.50388948626744\"\>",
              ShowStringCharacters->False],
             1.50388948626744,
             AutoDelete->True], ",", 
            InterpretationBox[
             StyleBox["\<\"-3.114757622170496\"\>",
              ShowStringCharacters->False],
             -3.1147576221704965`,
             AutoDelete->True]}], "}"}]}], "}"}], "}"}],
       DecimalForm[#, 256]& ]},
     {
      TagBox[
       RowBox[{"{", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{
            InterpretationBox[
             StyleBox["\<\"0.\"\>",
              ShowStringCharacters->False],
             0.,
             AutoDelete->True], ",", 
            InterpretationBox[
             StyleBox["\<\"0.\"\>",
              ShowStringCharacters->False],
             0.,
             AutoDelete->True]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{
            InterpretationBox[
             StyleBox["\<\"1.00000000000001\"\>",
              ShowStringCharacters->False],
             1.00000000000001,
             AutoDelete->True], ",", 
            InterpretationBox[
             StyleBox["\<\"1.000000000000003\"\>",
              ShowStringCharacters->False],
             1.000000000000003,
             AutoDelete->True]}], "}"}]}], "}"}], "}"}],
       DecimalForm[#, 256]& ]}
    },
    GridBoxAlignment->{"Columns" -> {{Left}}, "Rows" -> {{Baseline}}},
    GridBoxSpacings->{"Columns" -> {
        Offset[0.27999999999999997`], {
         Offset[0.5599999999999999]}, 
        Offset[0.27999999999999997`]}, "Rows" -> {
        Offset[0.2], {
         Offset[0.4]}, 
        Offset[0.2]}}],
   Column],
  Function[BoxForm`e$, 
   TableForm[BoxForm`e$]]]], "Output",
 FontSize->12,
 CellLabel->
  "11/28/23 06:21:12 \
Out[2810]//TableForm=",ExpressionUUID->"c9202dfa-1aff-4a2a-9312-e9e6c0e1c6a8"]
}, Open  ]]
},
WindowSize->{1680, 984},
WindowMargins->{{-4, Automatic}, {Automatic, -4}},
FrontEndVersion->"12.2 for Microsoft Windows (64-bit) (December 12, 2020)",
StyleDefinitions->Notebook[{
   Cell[
    StyleData[All], TextAlignment -> Center, FontFamily -> "Segoe UI Emoji", 
    FontSize -> 12, FontWeight -> "Normal", FontSlant -> "Plain", 
    FontTracking -> "Plain", 
    FontVariations -> {"StrikeThrough" -> False, "Underline" -> False}]}, 
  Visible -> False, FrontEndVersion -> 
  "12.2 for Microsoft Windows (64-bit) (December 12, 2020)", StyleDefinitions -> 
  "PrivateStylesheetFormatting.nb"],
ExpressionUUID->"76429be3-0840-4e9e-952e-ad7486bc4b7c"
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[558, 20, 6342, 189, 355, "Input",ExpressionUUID->"49e27e26-aae4-40b5-bafd-eccd5a46860c"],
Cell[6903, 211, 5839, 165, 214, "Input",ExpressionUUID->"9b9d9fed-f6b7-4b00-b1f1-f2b74b7eebba"],
Cell[12745, 378, 1858, 51, 179, "Input",ExpressionUUID->"1d82449f-143c-48c0-b41d-e1be57059f1b"],
Cell[CellGroupData[{
Cell[14628, 433, 4152, 115, 349, "Input",ExpressionUUID->"148f4d9e-62d6-414f-9bd8-79eeac336b4b"],
Cell[18783, 550, 12353, 224, 543, "Output",ExpressionUUID->"6ad981a0-60d8-4ad7-bc69-c7a1d08db158"],
Cell[31139, 776, 2642, 82, 62, "Output",ExpressionUUID->"400fe22f-5fdd-42d7-a1bb-2bf2e3b699ed"]
}, Open  ]],
Cell[CellGroupData[{
Cell[33818, 863, 3779, 105, 216, "Input",ExpressionUUID->"ac10700d-8814-4f2c-9e28-65b26f1985ed"],
Cell[37600, 970, 12294, 223, 700, "Output",ExpressionUUID->"e2e63318-abe3-4707-ab3f-c9e90cd69beb"],
Cell[49897, 1195, 2539, 78, 62, "Output",ExpressionUUID->"c9202dfa-1aff-4a2a-9312-e9e6c0e1c6a8"]
}, Open  ]]
}
]
*)