OO/𖣠⚪∣❁∣ᙁᑐᑕ∣옷⚪𔗢⚪🞋⚪𔗢⚪옷∣ᑐᑕᙁ∣❁∣⚪𖣠/⚪ᕤᕦ⚪ИN⚪ꖴ⚪✤⚪ᑎ⚪ߦ⚪ᙏ⚪Ⓞ⚪ᑐᑕ⚪◌⚪◌⚪◌.../⚪ᗱᗴ⚪ᴥ⚪ᗩ⚪ᗯ⚪✤⚪ꗳ⚪Ⓞ⚪ᔓᔕ⚪◌⚪◌⚪◌⚪◌⚪.../⚪ᙏ⚪ᗩ⚪ᴥ⚪ꗳ⚪ᙁ⚪Ⓞ⚪ᗯ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪.../⚪ᗩ⚪ᑐᑕ⚪ꖴ⚪✤⚪ᗩ⚪ᙏ⚪ᗱᗴ⚪옷⚪✤⚪ᗩ⚪ᙏ⚪◌⚪.../⚪ИN⚪Ⓞ⚪ꖴ⚪✤⚪ᑐᑕ⚪ИN⚪ᑎ⚪ꗳ⚪◯⚪ᔓᔕ⚪ᑎ⚪.../BИ.⚪ᔓᔕ⚪✤⚪Ⓞ⚪ᙁ⚪ߦ⚪◯⚪ᗱᗴ⚪ᴥ⚪ᑎ⚪✤⚪ᗩ...

2881 lines
155 KiB
Mathematica

(* 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[ 155769, 2872]
NotebookOptionsPosition[ 154180, 2838]
NotebookOutlinePosition[ 154610, 2855]
CellTagsIndexPosition[ 154567, 2852]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
Notebook[{
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"}], "}"}], ",", "\n", " ",
RowBox[{
RowBox[{"sol", " ", "=", " ",
RowBox[{"NDSolve", "[",
RowBox[{
RowBox[{"{", "\n", " ",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"\[Theta]", "'"}], "[", "t", "]"}], " ", "==", " ", "f"}],
",", "\n", " ",
RowBox[{
RowBox[{
RowBox[{"x", "'"}], "[", "t", "]"}], " ", "==", " ",
RowBox[{"Cos", "[",
RowBox[{"\[Theta]", "[", "t", "]"}], "]"}]}], ",", "\n", " ",
RowBox[{
RowBox[{
RowBox[{"y", "'"}], "[", "t", "]"}], " ", "==", " ",
RowBox[{"Sin", "[",
RowBox[{"\[Theta]", "[", "t", "]"}], "]"}]}], ",", "\n", " ",
RowBox[{
RowBox[{"\[Theta]", "[", "tmin", "]"}], " ", "==", " ",
"\[Theta]0"}], ",", "\n", " ",
RowBox[{
RowBox[{"x", "[", "tmin", "]"}], " ", "==", " ", "x0"}], ",", "\n",
" ",
RowBox[{
RowBox[{"y", "[", "tmin", "]"}], " ", "==", " ", "y0"}]}], "\n",
" ", "}"}], ",", " ",
RowBox[{"{",
RowBox[{"x", ",", " ", "y"}], "}"}], ",", " ",
RowBox[{"{",
RowBox[{"t", ",", " ", "tmin", ",", " ", "tmax"}], "}"}], ",", " ",
"opts"}], "]"}]}], ";", "\n", " ",
RowBox[{"if", " ", "=", " ",
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"x", "[", "#", "]"}], ",", " ",
RowBox[{"y", "[", "#", "]"}]}], "}"}], " ", "&"}], " ", "/.", " ",
RowBox[{"First", "[", "sol", "]"}]}]}], ";", "\n", " ", "if"}]}],
"\n", " ", "]"}]}], "\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"}],
"}"}], ",", "\n", " ",
RowBox[{
RowBox[{"rlsplot", " ", "=", " ",
RowBox[{"FilterRules", "[",
RowBox[{
RowBox[{"{", "opts", "}"}], ",", " ",
RowBox[{"Options", "[", "ParametricPlot", "]"}]}], "]"}]}], ";", "\n",
" ",
RowBox[{"rlsndsolve", " ", "=", " ",
RowBox[{"FilterRules", "[",
RowBox[{
RowBox[{"{", "opts", "}"}], ",", " ",
RowBox[{"Options", "[", "NDSolve", "]"}]}], "]"}]}], ";", "\n", " ",
RowBox[{"If", "[",
RowBox[{
RowBox[{
RowBox[{"Head", "[", "f", "]"}], " ", "===", " ", "List"}], ",", "\n",
" ",
RowBox[{
RowBox[{"ifs", " ", "=", " ",
RowBox[{
RowBox[{
RowBox[{"iCurvaturePlotHelper", "[",
RowBox[{"#", ",", " ",
RowBox[{"{",
RowBox[{"t", ",", " ", "tmin", ",", " ", "tmax"}], "}"}], ",",
" ", "p", ",", " ",
RowBox[{"Evaluate", "@",
RowBox[{"(",
RowBox[{"Sequence", " ", "@@", " ", "rlsndsolve"}], ")"}]}]}],
"]"}], " ", "&"}], " ", "/@", " ", "f"}]}], ";", "\n", " ",
RowBox[{"ParametricPlot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{
RowBox[{
RowBox[{"#", "[", "tplot", "]"}], " ", "&"}], " ", "/@", " ",
"ifs"}], "]"}], ",", " ",
RowBox[{"{",
RowBox[{"tplot", ",", " ", "tmin", ",", " ", "tmax"}], "}"}], ",",
" ",
RowBox[{"Evaluate", "@",
RowBox[{"(",
RowBox[{"Sequence", " ", "@@", " ", "rlsplot"}], ")"}]}]}],
"]"}]}], "\n", " ", ",", "\n", " ",
RowBox[{
RowBox[{"if", " ", "=", " ",
RowBox[{"iCurvaturePlotHelper", "[",
RowBox[{"f", ",", " ",
RowBox[{"{",
RowBox[{"t", ",", " ", "tmin", ",", " ", "tmax"}], "}"}], ",",
" ", "p", ",", " ",
RowBox[{"Evaluate", "@",
RowBox[{"(",
RowBox[{"Sequence", " ", "@@", " ", "rlsndsolve"}], ")"}]}]}],
"]"}]}], ";", "\n", " ",
RowBox[{"ParametricPlot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{"if", "[", "tplot", "]"}], "]"}], ",", " ",
RowBox[{"{",
RowBox[{"tplot", ",", " ", "tmin", ",", " ", "tmax"}], "}"}], ",",
" ",
RowBox[{"Evaluate", "@",
RowBox[{"(",
RowBox[{"Sequence", " ", "@@", " ", "rlsplot"}], ")"}]}]}],
"]"}]}]}], "\n", " ", "]"}]}]}], "\n", " ", "]"}]}]}], "Input",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->
"In[2698]:=",ExpressionUUID->"296ee68d-611b-4f39-8505-8dc995c0ca11"],
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"}], ")"}]}]}]}],
";"}]}], "Input",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->"In[2702]:=",
CellID->161896613,ExpressionUUID->"0d96d3fd-dac5-4a15-921c-c113c196ee35"],
Cell[BoxData[
RowBox[{
RowBox[{"iFabiusF", "[", "x_", "]"}], " ", ":=", " ",
RowBox[{"Module", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"prec", " ", "=", " ",
RowBox[{"Precision", "[", "x", "]"}]}], ",", " ", "n", ",", " ", "p",
",", " ", "q", ",", " ", "s", ",", " ", "tol", ",", " ", "w", ",", " ",
"y", ",", " ", "z"}], "}"}], ",", "\n", " ",
RowBox[{
RowBox[{"If", "[",
RowBox[{
RowBox[{"x", " ", "<", " ", "0"}], ",", " ",
RowBox[{"Return", "[",
RowBox[{"0", ",", " ", "Module"}], "]"}]}], "]"}], ";", " ",
RowBox[{"tol", " ", "=", " ",
RowBox[{"10", "^",
RowBox[{"(",
RowBox[{"-", "prec"}], ")"}]}]}], ";", "\n", " ", "\n", " ",
RowBox[{"z", " ", "=", " ",
RowBox[{"SetPrecision", "[",
RowBox[{"x", ",", " ", "Infinity"}], "]"}]}], ";", " ",
RowBox[{"s", " ", "=", " ", "1"}], ";", " ",
RowBox[{"y", " ", "=", " ", "0"}], ";", "\n", " ",
RowBox[{"z", " ", "=", " ",
RowBox[{"If", "[",
RowBox[{
RowBox[{"0", " ", "<=", " ", "z", " ", "<=", " ", "2"}], ",", " ",
RowBox[{"1", " ", "-", " ",
RowBox[{"Abs", "[",
RowBox[{"1", " ", "-", " ", "z"}], "]"}]}], ",", "\n", " ",
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", " ",
"\n", " ",
RowBox[{"While", "[",
RowBox[{
RowBox[{"z", " ", ">", " ", "0"}], ",", "\n", " ",
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", " ",
"\n", " ",
RowBox[{"SetPrecision", "[",
RowBox[{
RowBox[{"s", " ",
RowBox[{"Abs", "[", "y", "]"}]}], ",", " ", "prec"}], "]"}]}]}],
"]"}]}]], "Input",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->"In[2704]:=",
CellID->288026693,ExpressionUUID->"808ad9a4-8f83-44db-9ee6-29ceb0e33063"],
Cell[BoxData[
RowBox[{
RowBox[{
RowBox[{"FabiusF", "[", "Infinity", "]"}], " ", "=", " ",
RowBox[{"Interval", "[",
RowBox[{"{",
RowBox[{
RowBox[{"-", "1"}], ",", " ", "1"}], "}"}], "]"}]}], ";"}]], "Input",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->"In[2705]:=",
CellID->412195738,ExpressionUUID->"b9e1d387-fb4b-453f-929f-cb28417041a5"],
Cell[BoxData[
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", "]"}]}]], "Input",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->"In[2706]:=",
CellID->8579704,ExpressionUUID->"0fe3361d-c73c-4e58-8d48-3fdedf7f5bc7"],
Cell[BoxData[
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"}], " ", "#"}], "]"}]}], " ", "&"}]}]], "Input",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->"In[2707]:=",
CellID->620112967,ExpressionUUID->"d3d813ec-9e27-49ce-b883-acab5a92b5e4"],
Cell[BoxData[
RowBox[{
RowBox[{"SetAttributes", "[",
RowBox[{"FabiusF", ",", " ",
RowBox[{"{",
RowBox[{"NumericFunction", ",", " ", "Listable"}], "}"}]}], "]"}],
";"}]], "Input",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->"In[2708]:=",
CellID->500210099,ExpressionUUID->"fa6e2770-2a4b-4b75-9bbd-0f3cbde94c34"],
Cell[BoxData[
RowBox[{"OO", " ", "=", " ",
RowBox[{
RowBox[{"ArcCos", "[",
RowBox[{"Cos", "[", " ",
RowBox[{"2", "*", "X"}], "]"}], "]"}], "/", "Pi"}]}]], "Input",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->
"In[2709]:=",ExpressionUUID->"1aae1426-b766-4f8b-92e1-3d50595c1240"],
Cell[BoxData[
RowBox[{"OOOO", " ", "=", " ",
RowBox[{
RowBox[{"(",
RowBox[{"1", " ", "-", " ",
RowBox[{"Cos", "[",
RowBox[{"2", " ", "X"}], "]"}]}], ")"}], "/", "2"}]}]], "Input",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->
"In[2710]:=",ExpressionUUID->"1145cd7d-bab9-4945-935e-1326c4f7cc11"],
Cell[BoxData[
RowBox[{"OOOOOOOO", " ", "=", " ",
RowBox[{"Abs", "[",
RowBox[{"FabiusF", "[",
RowBox[{
RowBox[{"X", "/", "Pi"}], "*", "2"}], "]"}], "]"}]}]], "Input",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->
"In[2726]:=",ExpressionUUID->"c6f9a9ae-5215-4e9e-bfaa-f3a0c80e2cbc"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"GraphicsGrid", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"Plot", "[",
RowBox[{"OO", ",", " ",
RowBox[{"{",
RowBox[{"X", ",", " ", "0", ",", " ",
RowBox[{"3", " ", "\[Pi]"}]}], "}"}], ",", " ",
RowBox[{"Axes", " ", "->", " ", "True"}], ",", " ",
RowBox[{"AspectRatio", " ", "->", " ",
RowBox[{".5", "/", "Pi"}]}]}], "]"}], ",", " ",
RowBox[{"CurvaturePlot", "[",
RowBox[{"OO", ",", " ",
RowBox[{"{",
RowBox[{"X", ",", " ", "0", ",", " ",
RowBox[{"3", " ", "\[Pi]"}]}], "}"}], ",", " ",
RowBox[{"Axes", " ", "->", " ", "True"}]}], "]"}]}], "}"}], ",", " ",
RowBox[{"{",
RowBox[{
RowBox[{"Plot", "[",
RowBox[{"OOOO", ",", " ",
RowBox[{"{",
RowBox[{"X", ",", " ", "0", ",", " ",
RowBox[{"3", " ", "\[Pi]"}]}], "}"}], ",", " ",
RowBox[{"Axes", " ", "->", " ", "True"}], ",", " ",
RowBox[{"AspectRatio", " ", "->", " ",
RowBox[{".5", "/", "Pi"}]}]}], "]"}], ",", " ",
RowBox[{"CurvaturePlot", "[",
RowBox[{"OOOO", ",", " ",
RowBox[{"{",
RowBox[{"X", ",", " ", "0", ",", " ",
RowBox[{"3", " ", "\[Pi]"}]}], "}"}], ",", " ",
RowBox[{"Axes", " ", "->", " ", "True"}]}], "]"}]}], "}"}], ",", " ",
RowBox[{"{",
RowBox[{
RowBox[{"Plot", "[",
RowBox[{"OOOOOOOO", ",", " ",
RowBox[{"{",
RowBox[{"X", ",", " ", "0", ",", " ",
RowBox[{"3", "*", "Pi"}]}], "}"}], ",", " ",
RowBox[{"Axes", " ", "->", " ", "True"}], ",", " ",
RowBox[{"AspectRatio", " ", "->", " ",
RowBox[{".5", "/", "Pi"}]}]}], "]"}], ",", " ",
RowBox[{"CurvaturePlot", "[",
RowBox[{"OOOOOOOO", ",", " ",
RowBox[{"{",
RowBox[{"X", ",", " ", "0", ",", " ",
RowBox[{"3", "*", "Pi"}]}], "}"}], ",", " ",
RowBox[{"Axes", " ", "->", " ", "True"}]}], "]"}]}], "}"}]}], "}"}],
",", " ",
RowBox[{"ImageSize", " ", "->", " ", "956"}]}], "]"}]], "Input",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->
"In[2731]:=",ExpressionUUID->"4595675b-1d8e-4e30-87ca-c0a64e9b5107"],
Cell[BoxData[
GraphicsBox[{{}, {{InsetBox[
GraphicsBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJw1mHc81f/7/0XGSdYxj3EOJyNpCMWn4bqk8q4kIUpllIyS1RAJ70IUMlJW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"]]},
Annotation[#, "Charting`Private`Tag$192390#1"]& ]}, {}},
AspectRatio->0.15915494309189535`,
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
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]],
ImagePadding->{{102.88775510204081`, 2.4263553649323057`}, {
14.965902385483687`, 4.482818022708141}},
Method->{
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}},
"DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" ->
None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& )}},
PlotRange->
NCache[{{0, 3 Pi}, {0., 0.9995382111225833}}, {{
0, 9.42477796076938}, {0., 0.9995382111225833}}],
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}], {192., -112.1482384626371},
ImageScaled[{0.5, 0.5}], {360., 208.64788551188298}], InsetBox[
GraphicsBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJxd2nc8lt//B/DbnjcyEm0VGhoaHxreJ4RIVkmkQiGSrSEkopKyS0Yioqys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"]]},
Annotation[#, "Charting`Private`Tag$192475#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->{{102.88775510204081`, 2.4263553649323057`}, {
14.965902385483687`, 4.482818022708141}},
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->{{-1.8700956716021604`, 1.870095744347212}, {0.,
3.7401913626672356`}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.05],
Scaled[0.05]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}], {576., -112.1482384626371},
ImageScaled[{0.5, 0.5}], {360., 208.64788551188298}]}, {InsetBox[
GraphicsBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJwl23c81d8bAHAVQua1hXuphCRFiHiOQoqsjEhIoiEhOyErycoKyd5bComy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"]]},
Annotation[#, "Charting`Private`Tag$192508#1"]& ]}, {}},
AspectRatio->0.15915494309189535`,
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
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]],
ImagePadding->{{102.88775510204081`, 2.4263553649323057`}, {
14.965902385483687`, 4.482818022708141}},
Method->{
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}},
"DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" ->
None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& )}},
PlotRange->
NCache[{{0, 3 Pi}, {0., 0.9999994738293557}}, {{
0, 9.42477796076938}, {0., 0.9999994738293557}}],
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}], {192., -336.4447153879113},
ImageScaled[{0.5, 0.5}], {360., 208.64788551188295}], InsetBox[
GraphicsBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJxc13c81d//AHB7XpFVRFlJSqU0CK9jZoQQioyMlCJllkRKQ0t2Q0QqkoQU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"]]},
Annotation[#, "Charting`Private`Tag$192569#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->{{102.88775510204081`, 2.4263553649323057`}, {
14.965902385483687`, 4.482818022708141}},
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->{{-1.8359753348694927`, 1.8359753505432619`}, {0.,
3.6719504150996216`}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.05],
Scaled[0.05]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}], {576., -336.4447153879113},
ImageScaled[{0.5, 0.5}], {360., 208.64788551188295}]}, {InsetBox[
GraphicsBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJwk2nc81d8bAHCVvd1r3CskFQ0lo5S4z1GRIiIpDSSRUUQh2XuTkJnsLSsr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"]]},
Annotation[#, "Charting`Private`Tag$192603#1"]& ]}, {}},
AspectRatio->0.15915494309189535`,
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
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]],
ImagePadding->{{102.88775510204081`, 2.4263553649323057`}, {
14.965902385483687`, 4.482818022708141}},
Method->{
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}},
"DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" ->
None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& )}},
PlotRange->
NCache[{{0, 3 Pi}, {0., 1.}}, {{0, 9.42477796076938}, {0., 1.}}],
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}], {192., -560.7411923131855},
ImageScaled[{0.5, 0.5}], {360., 208.64788551188298}], InsetBox[
GraphicsBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJxc2Hc81t/7OPDbXreRkJn0TqW0JCW6r4NkFClRRpIyy0hGkWwaokFSmRUK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"]]},
Annotation[#, "Charting`Private`Tag$194950#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->{{102.88775510204081`, 2.4263553649323057`}, {
14.965902385483687`, 4.482818022708141}},
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->{{-1.8161859789757164`, 1.816186063320808}, {0.,
3.6323721044725805`}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.05],
Scaled[0.05]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}], {576., -560.7411923131855},
ImageScaled[{0.5, 0.5}], {360., 208.64788551188298}]}}, {}},
ImageSize->956,
PlotRangePadding->{6, 5}]], "Output",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->
"Out[2731]=",ExpressionUUID->"2ecc2a74-6c7c-4daf-b845-c2adbe6d2022"]
}, Open ]]
},
WindowToolbars->"EditBar",
WindowSize->{1680, 984},
WindowMargins->{{-4, Automatic}, {Automatic, -4}},
FrontEndVersion->"12.2 for Microsoft Windows (64-bit) (December 12, 2020)",
StyleDefinitions->"Default.nb",
ExpressionUUID->"b65d3ac2-1d8d-4640-8a14-2632a7a97184"
]
(* End of Notebook Content *)
(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[558, 20, 6701, 177, 386, "Input",ExpressionUUID->"296ee68d-611b-4f39-8505-8dc995c0ca11"],
Cell[7262, 199, 1451, 44, 41, "Input",ExpressionUUID->"0d96d3fd-dac5-4a15-921c-c113c196ee35",
CellID->161896613],
Cell[8716, 245, 3865, 97, 266, "Input",ExpressionUUID->"808ad9a4-8f83-44db-9ee6-29ceb0e33063",
CellID->288026693],
Cell[12584, 344, 432, 13, 25, "Input",ExpressionUUID->"b9e1d387-fb4b-453f-929f-cb28417041a5",
CellID->412195738],
Cell[13019, 359, 910, 26, 25, "Input",ExpressionUUID->"0fe3361d-c73c-4e58-8d48-3fdedf7f5bc7",
CellID->8579704],
Cell[13932, 387, 653, 21, 25, "Input",ExpressionUUID->"d3d813ec-9e27-49ce-b883-acab5a92b5e4",
CellID->620112967],
Cell[14588, 410, 398, 12, 25, "Input",ExpressionUUID->"fa6e2770-2a4b-4b75-9bbd-0f3cbde94c34",
CellID->500210099],
Cell[14989, 424, 363, 11, 25, "Input",ExpressionUUID->"1aae1426-b766-4f8b-92e1-3d50595c1240"],
Cell[15355, 437, 386, 12, 25, "Input",ExpressionUUID->"1145cd7d-bab9-4945-935e-1326c4f7cc11"],
Cell[15744, 451, 365, 11, 25, "Input",ExpressionUUID->"c6f9a9ae-5215-4e9e-bfaa-f3a0c80e2cbc"],
Cell[CellGroupData[{
Cell[16134, 466, 2401, 60, 41, "Input",ExpressionUUID->"4595675b-1d8e-4e30-87ca-c0a64e9b5107"],
Cell[18538, 528, 135626, 2307, 862, "Output",ExpressionUUID->"2ecc2a74-6c7c-4daf-b845-c2adbe6d2022"]
}, Open ]]
}
]
*)