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-rw-r--r--buch/papers/ellfilter/python/F_N_elliptic.pgf847
-rw-r--r--buch/papers/ellfilter/python/elliptic.pgf1219
-rw-r--r--buch/papers/ellfilter/python/elliptic.py10
-rw-r--r--buch/papers/ellfilter/python/elliptic2.py87
-rw-r--r--buch/papers/ellfilter/python/k.pgf90
5 files changed, 1069 insertions, 1184 deletions
diff --git a/buch/papers/ellfilter/python/F_N_elliptic.pgf b/buch/papers/ellfilter/python/F_N_elliptic.pgf
deleted file mode 100644
index 03084c6..0000000
--- a/buch/papers/ellfilter/python/F_N_elliptic.pgf
+++ /dev/null
@@ -1,847 +0,0 @@
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-\end{pgfscope}%
-\begin{pgfscope}%
-\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
-\pgfsetstrokecolor{textcolor}%
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-\pgftext[x=1.247420in,y=2.079733in,left,base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle N=5, k=0.1\)}%
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diff --git a/buch/papers/ellfilter/python/elliptic.pgf b/buch/papers/ellfilter/python/elliptic.pgf
index 31b77d4..32485c1 100644
--- a/buch/papers/ellfilter/python/elliptic.pgf
+++ b/buch/papers/ellfilter/python/elliptic.pgf
@@ -23,7 +23,7 @@
\begingroup%
\makeatletter%
\begin{pgfpicture}%
-\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{4.000000in}{2.500000in}}%
+\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{5.000000in}{3.000000in}}%
\pgfusepath{use as bounding box, clip}%
\begin{pgfscope}%
\pgfsetbuttcap%
@@ -34,9 +34,9 @@
\pgfsetstrokeopacity{0.000000}%
\pgfsetdash{}{0pt}%
\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}%
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-\pgfpathlineto{\pgfqpoint{4.000000in}{2.500000in}}%
-\pgfpathlineto{\pgfqpoint{0.000000in}{2.500000in}}%
+\pgfpathlineto{\pgfqpoint{5.000000in}{0.000000in}}%
+\pgfpathlineto{\pgfqpoint{5.000000in}{3.000000in}}%
+\pgfpathlineto{\pgfqpoint{0.000000in}{3.000000in}}%
\pgfpathlineto{\pgfqpoint{0.000000in}{0.000000in}}%
\pgfpathclose%
\pgfusepath{}%
@@ -51,16 +51,16 @@
\pgfsetstrokecolor{currentstroke}%
\pgfsetstrokeopacity{0.000000}%
\pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{0.617954in}{0.548769in}}%
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-\pgfpathlineto{\pgfqpoint{0.617954in}{0.548769in}}%
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+\pgfpathlineto{\pgfqpoint{0.733531in}{2.850000in}}%
+\pgfpathlineto{\pgfqpoint{0.733531in}{1.746607in}}%
\pgfpathclose%
\pgfusepath{fill}%
\end{pgfscope}%
\begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.617954in}{0.548769in}}{\pgfqpoint{3.143642in}{1.753186in}}%
+\pgfpathrectangle{\pgfqpoint{0.733531in}{1.746607in}}{\pgfqpoint{3.993473in}{1.103393in}}%
\pgfusepath{clip}%
\pgfsetbuttcap%
\pgfsetmiterjoin%
@@ -72,16 +72,16 @@
\pgfsetstrokecolor{currentstroke}%
\pgfsetstrokeopacity{0.200000}%
\pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{0.617954in}{1.788459in}}%
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-\pgfpathlineto{\pgfqpoint{0.617954in}{1.788459in}}%
+\pgfpathmoveto{\pgfqpoint{0.733531in}{-108.151374in}}%
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+\pgfpathlineto{\pgfqpoint{0.733531in}{2.187964in}}%
+\pgfpathlineto{\pgfqpoint{0.733531in}{-108.151374in}}%
\pgfpathclose%
\pgfusepath{fill}%
\end{pgfscope}%
\begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.617954in}{0.548769in}}{\pgfqpoint{3.143642in}{1.753186in}}%
+\pgfpathrectangle{\pgfqpoint{0.733531in}{1.746607in}}{\pgfqpoint{3.993473in}{1.103393in}}%
\pgfusepath{clip}%
\pgfsetbuttcap%
\pgfsetmiterjoin%
@@ -93,16 +93,16 @@
\pgfsetstrokecolor{currentstroke}%
\pgfsetstrokeopacity{0.200000}%
\pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{2.189776in}{0.724087in}}%
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-\pgfpathlineto{\pgfqpoint{2.189776in}{0.724087in}}%
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+\pgfpathlineto{\pgfqpoint{2.730268in}{2.408643in}}%
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\pgfpathclose%
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\end{pgfscope}%
\begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.617954in}{0.548769in}}{\pgfqpoint{3.143642in}{1.753186in}}%
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\pgfusepath{clip}%
\pgfsetbuttcap%
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@@ -114,16 +114,16 @@
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\pgfpathclose%
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\end{pgfscope}%
\begin{pgfscope}%
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@@ -131,8 +131,8 @@
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-\pgfpathmoveto{\pgfqpoint{0.617954in}{0.548769in}}%
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\pgfusepath{stroke}%
\end{pgfscope}%
\begin{pgfscope}%
@@ -150,7 +150,295 @@
\pgfusepath{stroke,fill}%
}%
\begin{pgfscope}%
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+}%
+\begin{pgfscope}%
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@@ -158,10 +446,10 @@
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@@ -169,8 +457,483 @@
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+\pgfsetdash{}{0pt}%
+\pgfpathmoveto{\pgfqpoint{0.733531in}{1.150435in}}%
+\pgfpathlineto{\pgfqpoint{2.730268in}{1.150435in}}%
+\pgfpathlineto{\pgfqpoint{2.730268in}{2.253828in}}%
+\pgfpathlineto{\pgfqpoint{0.733531in}{2.253828in}}%
+\pgfpathlineto{\pgfqpoint{0.733531in}{1.150435in}}%
+\pgfpathclose%
+\pgfusepath{fill}%
+\end{pgfscope}%
+\begin{pgfscope}%
+\pgfpathrectangle{\pgfqpoint{0.733531in}{0.370218in}}{\pgfqpoint{3.993473in}{1.103393in}}%
+\pgfusepath{clip}%
+\pgfsetbuttcap%
+\pgfsetmiterjoin%
+\definecolor{currentfill}{rgb}{1.000000,0.647059,0.000000}%
+\pgfsetfillcolor{currentfill}%
+\pgfsetfillopacity{0.200000}%
+\pgfsetlinewidth{0.000000pt}%
+\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}%
+\pgfsetstrokecolor{currentstroke}%
+\pgfsetstrokeopacity{0.200000}%
+\pgfsetdash{}{0pt}%
+\pgfpathmoveto{\pgfqpoint{2.730268in}{0.480557in}}%
+\pgfpathlineto{\pgfqpoint{2.750075in}{0.480557in}}%
+\pgfpathlineto{\pgfqpoint{2.750075in}{1.150435in}}%
+\pgfpathlineto{\pgfqpoint{2.730268in}{1.150435in}}%
+\pgfpathlineto{\pgfqpoint{2.730268in}{0.480557in}}%
+\pgfpathclose%
+\pgfusepath{fill}%
+\end{pgfscope}%
+\begin{pgfscope}%
+\pgfpathrectangle{\pgfqpoint{0.733531in}{0.370218in}}{\pgfqpoint{3.993473in}{1.103393in}}%
+\pgfusepath{clip}%
+\pgfsetbuttcap%
+\pgfsetmiterjoin%
+\definecolor{currentfill}{rgb}{1.000000,0.000000,0.000000}%
+\pgfsetfillcolor{currentfill}%
+\pgfsetfillopacity{0.200000}%
+\pgfsetlinewidth{0.000000pt}%
+\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}%
+\pgfsetstrokecolor{currentstroke}%
+\pgfsetstrokeopacity{0.200000}%
+\pgfsetdash{}{0pt}%
+\pgfpathmoveto{\pgfqpoint{2.750075in}{0.370218in}}%
+\pgfpathlineto{\pgfqpoint{4.746812in}{0.370218in}}%
+\pgfpathlineto{\pgfqpoint{4.746812in}{0.480557in}}%
+\pgfpathlineto{\pgfqpoint{2.750075in}{0.480557in}}%
+\pgfpathlineto{\pgfqpoint{2.750075in}{0.370218in}}%
+\pgfpathclose%
+\pgfusepath{fill}%
+\end{pgfscope}%
+\begin{pgfscope}%
+\pgfpathrectangle{\pgfqpoint{0.733531in}{0.370218in}}{\pgfqpoint{3.993473in}{1.103393in}}%
+\pgfusepath{clip}%
+\pgfsetrectcap%
+\pgfsetroundjoin%
+\pgfsetlinewidth{0.803000pt}%
+\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
+\pgfsetstrokecolor{currentstroke}%
+\pgfsetdash{}{0pt}%
+\pgfpathmoveto{\pgfqpoint{0.733531in}{0.370218in}}%
+\pgfpathlineto{\pgfqpoint{0.733531in}{1.473611in}}%
+\pgfusepath{stroke}%
+\end{pgfscope}%
+\begin{pgfscope}%
+\pgfsetbuttcap%
+\pgfsetroundjoin%
+\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}%
+\pgfsetfillcolor{currentfill}%
+\pgfsetlinewidth{0.803000pt}%
+\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}%
+\pgfsetstrokecolor{currentstroke}%
+\pgfsetdash{}{0pt}%
+\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.048611in}}{\pgfqpoint{0.000000in}{0.000000in}}{%
+\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}%
+\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}%
+\pgfusepath{stroke,fill}%
+}%
+\begin{pgfscope}%
+\pgfsys@transformshift{0.733531in}{0.370218in}%
+\pgfsys@useobject{currentmarker}{}%
+\end{pgfscope}%
+\end{pgfscope}%
+\begin{pgfscope}%
+\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
+\pgfsetstrokecolor{textcolor}%
+\pgfsetfillcolor{textcolor}%
+\pgftext[x=0.733531in,y=0.272996in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {0.00}\)}%
+\end{pgfscope}%
+\begin{pgfscope}%
+\pgfpathrectangle{\pgfqpoint{0.733531in}{0.370218in}}{\pgfqpoint{3.993473in}{1.103393in}}%
+\pgfusepath{clip}%
+\pgfsetrectcap%
+\pgfsetroundjoin%
+\pgfsetlinewidth{0.803000pt}%
+\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
+\pgfsetstrokecolor{currentstroke}%
+\pgfsetdash{}{0pt}%
+\pgfpathmoveto{\pgfqpoint{1.232715in}{0.370218in}}%
+\pgfpathlineto{\pgfqpoint{1.232715in}{1.473611in}}%
\pgfusepath{stroke}%
\end{pgfscope}%
\begin{pgfscope}%
@@ -188,7 +951,7 @@
\pgfusepath{stroke,fill}%
}%
\begin{pgfscope}%
-\pgfsys@transformshift{1.403865in}{0.548769in}%
+\pgfsys@transformshift{1.232715in}{0.370218in}%
\pgfsys@useobject{currentmarker}{}%
\end{pgfscope}%
\end{pgfscope}%
@@ -196,10 +959,10 @@
\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
\pgfsetstrokecolor{textcolor}%
\pgfsetfillcolor{textcolor}%
-\pgftext[x=1.403865in,y=0.451547in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {0.5}\)}%
+\pgftext[x=1.232715in,y=0.272996in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {0.25}\)}%
\end{pgfscope}%
\begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.617954in}{0.548769in}}{\pgfqpoint{3.143642in}{1.753186in}}%
+\pgfpathrectangle{\pgfqpoint{0.733531in}{0.370218in}}{\pgfqpoint{3.993473in}{1.103393in}}%
\pgfusepath{clip}%
\pgfsetrectcap%
\pgfsetroundjoin%
@@ -207,8 +970,8 @@
\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
\pgfsetstrokecolor{currentstroke}%
\pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{2.189776in}{0.548769in}}%
-\pgfpathlineto{\pgfqpoint{2.189776in}{2.301955in}}%
+\pgfpathmoveto{\pgfqpoint{1.731899in}{0.370218in}}%
+\pgfpathlineto{\pgfqpoint{1.731899in}{1.473611in}}%
\pgfusepath{stroke}%
\end{pgfscope}%
\begin{pgfscope}%
@@ -226,7 +989,7 @@
\pgfusepath{stroke,fill}%
}%
\begin{pgfscope}%
-\pgfsys@transformshift{2.189776in}{0.548769in}%
+\pgfsys@transformshift{1.731899in}{0.370218in}%
\pgfsys@useobject{currentmarker}{}%
\end{pgfscope}%
\end{pgfscope}%
@@ -234,10 +997,10 @@
\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
\pgfsetstrokecolor{textcolor}%
\pgfsetfillcolor{textcolor}%
-\pgftext[x=2.189776in,y=0.451547in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {1.0}\)}%
+\pgftext[x=1.731899in,y=0.272996in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {0.50}\)}%
\end{pgfscope}%
\begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.617954in}{0.548769in}}{\pgfqpoint{3.143642in}{1.753186in}}%
+\pgfpathrectangle{\pgfqpoint{0.733531in}{0.370218in}}{\pgfqpoint{3.993473in}{1.103393in}}%
\pgfusepath{clip}%
\pgfsetrectcap%
\pgfsetroundjoin%
@@ -245,8 +1008,8 @@
\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
\pgfsetstrokecolor{currentstroke}%
\pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{2.975686in}{0.548769in}}%
-\pgfpathlineto{\pgfqpoint{2.975686in}{2.301955in}}%
+\pgfpathmoveto{\pgfqpoint{2.231083in}{0.370218in}}%
+\pgfpathlineto{\pgfqpoint{2.231083in}{1.473611in}}%
\pgfusepath{stroke}%
\end{pgfscope}%
\begin{pgfscope}%
@@ -264,7 +1027,7 @@
\pgfusepath{stroke,fill}%
}%
\begin{pgfscope}%
-\pgfsys@transformshift{2.975686in}{0.548769in}%
+\pgfsys@transformshift{2.231083in}{0.370218in}%
\pgfsys@useobject{currentmarker}{}%
\end{pgfscope}%
\end{pgfscope}%
@@ -272,10 +1035,10 @@
\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
\pgfsetstrokecolor{textcolor}%
\pgfsetfillcolor{textcolor}%
-\pgftext[x=2.975686in,y=0.451547in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {1.5}\)}%
+\pgftext[x=2.231083in,y=0.272996in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {0.75}\)}%
\end{pgfscope}%
\begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.617954in}{0.548769in}}{\pgfqpoint{3.143642in}{1.753186in}}%
+\pgfpathrectangle{\pgfqpoint{0.733531in}{0.370218in}}{\pgfqpoint{3.993473in}{1.103393in}}%
\pgfusepath{clip}%
\pgfsetrectcap%
\pgfsetroundjoin%
@@ -283,8 +1046,8 @@
\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
\pgfsetstrokecolor{currentstroke}%
\pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{3.761597in}{0.548769in}}%
-\pgfpathlineto{\pgfqpoint{3.761597in}{2.301955in}}%
+\pgfpathmoveto{\pgfqpoint{2.730268in}{0.370218in}}%
+\pgfpathlineto{\pgfqpoint{2.730268in}{1.473611in}}%
\pgfusepath{stroke}%
\end{pgfscope}%
\begin{pgfscope}%
@@ -302,7 +1065,7 @@
\pgfusepath{stroke,fill}%
}%
\begin{pgfscope}%
-\pgfsys@transformshift{3.761597in}{0.548769in}%
+\pgfsys@transformshift{2.730268in}{0.370218in}%
\pgfsys@useobject{currentmarker}{}%
\end{pgfscope}%
\end{pgfscope}%
@@ -310,16 +1073,48 @@
\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
\pgfsetstrokecolor{textcolor}%
\pgfsetfillcolor{textcolor}%
-\pgftext[x=3.761597in,y=0.451547in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {2.0}\)}%
+\pgftext[x=2.730268in,y=0.272996in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {1.00}\)}%
+\end{pgfscope}%
+\begin{pgfscope}%
+\pgfpathrectangle{\pgfqpoint{0.733531in}{0.370218in}}{\pgfqpoint{3.993473in}{1.103393in}}%
+\pgfusepath{clip}%
+\pgfsetrectcap%
+\pgfsetroundjoin%
+\pgfsetlinewidth{0.803000pt}%
+\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
+\pgfsetstrokecolor{currentstroke}%
+\pgfsetdash{}{0pt}%
+\pgfpathmoveto{\pgfqpoint{3.229452in}{0.370218in}}%
+\pgfpathlineto{\pgfqpoint{3.229452in}{1.473611in}}%
+\pgfusepath{stroke}%
+\end{pgfscope}%
+\begin{pgfscope}%
+\pgfsetbuttcap%
+\pgfsetroundjoin%
+\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}%
+\pgfsetfillcolor{currentfill}%
+\pgfsetlinewidth{0.803000pt}%
+\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}%
+\pgfsetstrokecolor{currentstroke}%
+\pgfsetdash{}{0pt}%
+\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.048611in}}{\pgfqpoint{0.000000in}{0.000000in}}{%
+\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}%
+\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}%
+\pgfusepath{stroke,fill}%
+}%
+\begin{pgfscope}%
+\pgfsys@transformshift{3.229452in}{0.370218in}%
+\pgfsys@useobject{currentmarker}{}%
+\end{pgfscope}%
\end{pgfscope}%
\begin{pgfscope}%
\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
\pgfsetstrokecolor{textcolor}%
\pgfsetfillcolor{textcolor}%
-\pgftext[x=2.189776in,y=0.272534in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle w\)}%
+\pgftext[x=3.229452in,y=0.272996in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {1.25}\)}%
\end{pgfscope}%
\begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.617954in}{0.548769in}}{\pgfqpoint{3.143642in}{1.753186in}}%
+\pgfpathrectangle{\pgfqpoint{0.733531in}{0.370218in}}{\pgfqpoint{3.993473in}{1.103393in}}%
\pgfusepath{clip}%
\pgfsetrectcap%
\pgfsetroundjoin%
@@ -327,8 +1122,8 @@
\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
\pgfsetstrokecolor{currentstroke}%
\pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{0.617954in}{0.548769in}}%
-\pgfpathlineto{\pgfqpoint{3.761597in}{0.548769in}}%
+\pgfpathmoveto{\pgfqpoint{3.728636in}{0.370218in}}%
+\pgfpathlineto{\pgfqpoint{3.728636in}{1.473611in}}%
\pgfusepath{stroke}%
\end{pgfscope}%
\begin{pgfscope}%
@@ -340,13 +1135,13 @@
\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}%
\pgfsetstrokecolor{currentstroke}%
\pgfsetdash{}{0pt}%
-\pgfsys@defobject{currentmarker}{\pgfqpoint{-0.048611in}{0.000000in}}{\pgfqpoint{-0.000000in}{0.000000in}}{%
-\pgfpathmoveto{\pgfqpoint{-0.000000in}{0.000000in}}%
-\pgfpathlineto{\pgfqpoint{-0.048611in}{0.000000in}}%
+\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.048611in}}{\pgfqpoint{0.000000in}{0.000000in}}{%
+\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}%
+\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}%
\pgfusepath{stroke,fill}%
}%
\begin{pgfscope}%
-\pgfsys@transformshift{0.617954in}{0.548769in}%
+\pgfsys@transformshift{3.728636in}{0.370218in}%
\pgfsys@useobject{currentmarker}{}%
\end{pgfscope}%
\end{pgfscope}%
@@ -354,10 +1149,10 @@
\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
\pgfsetstrokecolor{textcolor}%
\pgfsetfillcolor{textcolor}%
-\pgftext[x=0.343262in, y=0.500544in, left, base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {0.0}\)}%
+\pgftext[x=3.728636in,y=0.272996in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {1.50}\)}%
\end{pgfscope}%
\begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.617954in}{0.548769in}}{\pgfqpoint{3.143642in}{1.753186in}}%
+\pgfpathrectangle{\pgfqpoint{0.733531in}{0.370218in}}{\pgfqpoint{3.993473in}{1.103393in}}%
\pgfusepath{clip}%
\pgfsetrectcap%
\pgfsetroundjoin%
@@ -365,8 +1160,8 @@
\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
\pgfsetstrokecolor{currentstroke}%
\pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{0.617954in}{0.899406in}}%
-\pgfpathlineto{\pgfqpoint{3.761597in}{0.899406in}}%
+\pgfpathmoveto{\pgfqpoint{4.227820in}{0.370218in}}%
+\pgfpathlineto{\pgfqpoint{4.227820in}{1.473611in}}%
\pgfusepath{stroke}%
\end{pgfscope}%
\begin{pgfscope}%
@@ -378,13 +1173,13 @@
\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}%
\pgfsetstrokecolor{currentstroke}%
\pgfsetdash{}{0pt}%
-\pgfsys@defobject{currentmarker}{\pgfqpoint{-0.048611in}{0.000000in}}{\pgfqpoint{-0.000000in}{0.000000in}}{%
-\pgfpathmoveto{\pgfqpoint{-0.000000in}{0.000000in}}%
-\pgfpathlineto{\pgfqpoint{-0.048611in}{0.000000in}}%
+\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.048611in}}{\pgfqpoint{0.000000in}{0.000000in}}{%
+\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}%
+\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}%
\pgfusepath{stroke,fill}%
}%
\begin{pgfscope}%
-\pgfsys@transformshift{0.617954in}{0.899406in}%
+\pgfsys@transformshift{4.227820in}{0.370218in}%
\pgfsys@useobject{currentmarker}{}%
\end{pgfscope}%
\end{pgfscope}%
@@ -392,10 +1187,10 @@
\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
\pgfsetstrokecolor{textcolor}%
\pgfsetfillcolor{textcolor}%
-\pgftext[x=0.343262in, y=0.851181in, left, base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {0.2}\)}%
+\pgftext[x=4.227820in,y=0.272996in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {1.75}\)}%
\end{pgfscope}%
\begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.617954in}{0.548769in}}{\pgfqpoint{3.143642in}{1.753186in}}%
+\pgfpathrectangle{\pgfqpoint{0.733531in}{0.370218in}}{\pgfqpoint{3.993473in}{1.103393in}}%
\pgfusepath{clip}%
\pgfsetrectcap%
\pgfsetroundjoin%
@@ -403,8 +1198,8 @@
\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
\pgfsetstrokecolor{currentstroke}%
\pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{0.617954in}{1.250043in}}%
-\pgfpathlineto{\pgfqpoint{3.761597in}{1.250043in}}%
+\pgfpathmoveto{\pgfqpoint{4.727004in}{0.370218in}}%
+\pgfpathlineto{\pgfqpoint{4.727004in}{1.473611in}}%
\pgfusepath{stroke}%
\end{pgfscope}%
\begin{pgfscope}%
@@ -416,13 +1211,13 @@
\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}%
\pgfsetstrokecolor{currentstroke}%
\pgfsetdash{}{0pt}%
-\pgfsys@defobject{currentmarker}{\pgfqpoint{-0.048611in}{0.000000in}}{\pgfqpoint{-0.000000in}{0.000000in}}{%
-\pgfpathmoveto{\pgfqpoint{-0.000000in}{0.000000in}}%
-\pgfpathlineto{\pgfqpoint{-0.048611in}{0.000000in}}%
+\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.048611in}}{\pgfqpoint{0.000000in}{0.000000in}}{%
+\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}%
+\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}%
\pgfusepath{stroke,fill}%
}%
\begin{pgfscope}%
-\pgfsys@transformshift{0.617954in}{1.250043in}%
+\pgfsys@transformshift{4.727004in}{0.370218in}%
\pgfsys@useobject{currentmarker}{}%
\end{pgfscope}%
\end{pgfscope}%
@@ -430,10 +1225,10 @@
\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
\pgfsetstrokecolor{textcolor}%
\pgfsetfillcolor{textcolor}%
-\pgftext[x=0.343262in, y=1.201818in, left, base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {0.4}\)}%
+\pgftext[x=4.727004in,y=0.272996in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {2.00}\)}%
\end{pgfscope}%
\begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.617954in}{0.548769in}}{\pgfqpoint{3.143642in}{1.753186in}}%
+\pgfpathrectangle{\pgfqpoint{0.733531in}{0.370218in}}{\pgfqpoint{3.993473in}{1.103393in}}%
\pgfusepath{clip}%
\pgfsetrectcap%
\pgfsetroundjoin%
@@ -441,8 +1236,8 @@
\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
\pgfsetstrokecolor{currentstroke}%
\pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{0.617954in}{1.600680in}}%
-\pgfpathlineto{\pgfqpoint{3.761597in}{1.600680in}}%
+\pgfpathmoveto{\pgfqpoint{0.733531in}{0.370218in}}%
+\pgfpathlineto{\pgfqpoint{4.727004in}{0.370218in}}%
\pgfusepath{stroke}%
\end{pgfscope}%
\begin{pgfscope}%
@@ -460,7 +1255,7 @@
\pgfusepath{stroke,fill}%
}%
\begin{pgfscope}%
-\pgfsys@transformshift{0.617954in}{1.600680in}%
+\pgfsys@transformshift{0.733531in}{0.370218in}%
\pgfsys@useobject{currentmarker}{}%
\end{pgfscope}%
\end{pgfscope}%
@@ -468,10 +1263,10 @@
\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
\pgfsetstrokecolor{textcolor}%
\pgfsetfillcolor{textcolor}%
-\pgftext[x=0.343262in, y=1.552455in, left, base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {0.6}\)}%
+\pgftext[x=0.458839in, y=0.321992in, left, base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle {0.0}\)}%
\end{pgfscope}%
\begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.617954in}{0.548769in}}{\pgfqpoint{3.143642in}{1.753186in}}%
+\pgfpathrectangle{\pgfqpoint{0.733531in}{0.370218in}}{\pgfqpoint{3.993473in}{1.103393in}}%
\pgfusepath{clip}%
\pgfsetrectcap%
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@@ -479,8 +1274,8 @@
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\end{pgfscope}%
\end{pgfpicture}%
diff --git a/buch/papers/ellfilter/python/elliptic.py b/buch/papers/ellfilter/python/elliptic.py
index b3336a1..6e0fd12 100644
--- a/buch/papers/ellfilter/python/elliptic.py
+++ b/buch/papers/ellfilter/python/elliptic.py
@@ -324,9 +324,9 @@ K_prime = ell_int(np.sqrt(1-k**2))
f, axs = plt.subplots(1,2, figsize=(5,2.5))
-axs[0].plot(k, K, linewidth=0.1)
+axs[0].plot(k, K, linewidth=1)
axs[0].text(k[30], K[30]+0.1, f"$K$")
-axs[0].plot(k, K_prime, linewidth=0.1)
+axs[0].plot(k, K_prime, linewidth=1)
axs[0].text(k[30], K_prime[30]+0.1, f"$K^\prime$")
axs[0].set_xlim([0,1])
axs[0].set_ylim([0,4])
@@ -342,9 +342,9 @@ k = np.array([0.1,0.2,0.4,0.6,0.9,0.99])
K = ell_int(k)
K_prime = ell_int(np.sqrt(1-k**2))
-axs[1].plot(K, K_prime, '.', color=last_color(), markersize=2)
-for x, y, n in zip(K, K_prime, k):
- axs[1].text(x+0.1, y+0.1, f"$k={n:.2f}$", rotation_mode="anchor")
+# axs[1].plot(K, K_prime, '.', color=last_color(), markersize=2)
+# for x, y, n in zip(K, K_prime, k):
+# axs[1].text(x+0.1, y+0.1, f"$k={n:.2f}$", rotation_mode="anchor")
axs[1].set_ylabel("$K^\prime$")
axs[1].set_xlabel("$K$")
axs[1].set_xlim([0,6])
diff --git a/buch/papers/ellfilter/python/elliptic2.py b/buch/papers/ellfilter/python/elliptic2.py
index 29c6f47..20a7428 100644
--- a/buch/papers/ellfilter/python/elliptic2.py
+++ b/buch/papers/ellfilter/python/elliptic2.py
@@ -1,5 +1,6 @@
# %%
+import enum
import matplotlib.pyplot as plt
import scipy.signal
import numpy as np
@@ -8,7 +9,9 @@ from matplotlib.patches import Rectangle
import plot_params
-def ellip_filter(N):
+N=5
+
+def ellip_filter(N, mode=-1):
order = N
passband_ripple_db = 3
@@ -26,7 +29,16 @@ def ellip_filter(N):
fs=None
)
- w, mag_db, phase = scipy.signal.bode((a, b), w=np.linspace(0*omega_c,2*omega_c, 4000))
+ if mode == 0:
+ w = np.linspace(0*omega_c,omega_c, 2000)
+ elif mode == 1:
+ w = np.linspace(omega_c,1.00992*omega_c, 2000)
+ elif mode == 2:
+ w = np.linspace(1.00992*omega_c,2*omega_c, 2000)
+ else:
+ w = np.linspace(0*omega_c,2*omega_c, 4000)
+
+ w, mag_db, phase = scipy.signal.bode((a, b), w=w)
mag = 10**(mag_db/20)
@@ -38,105 +50,96 @@ def ellip_filter(N):
return w/omega_c, FN2 / epsilon2, mag, a, b
-plt.figure(figsize=(4,2.5))
+f, axs = plt.subplots(2, 1, figsize=(5,3), sharex=True)
-for N in [5]:
- w, FN2, mag, a, b = ellip_filter(N)
- plt.semilogy(w, FN2, label=f"$N={N}, k=0.1$", linewidth=1)
+for mode, c in enumerate(["green", "orange", "red"]):
+ w, FN2, mag, a, b = ellip_filter(N, mode=mode)
+ axs[0].semilogy(w, FN2, label=f"$N={N}, k=0.1$", linewidth=1, color=c)
-plt.gca().add_patch(Rectangle(
+axs[0].add_patch(Rectangle(
(0, 0),
1, 1,
fc ='green',
alpha=0.2,
lw = 10,
))
-plt.gca().add_patch(Rectangle(
+axs[0].add_patch(Rectangle(
(1, 1),
- 0.01, 1e2-1,
+ 0.00992, 1e2-1,
fc ='orange',
alpha=0.2,
lw = 10,
))
-plt.gca().add_patch(Rectangle(
- (1.01, 100),
+axs[0].add_patch(Rectangle(
+ (1.00992, 100),
1, 1e6,
fc ='red',
alpha=0.2,
lw = 10,
))
-zeros = [0,0.87,1]
+zeros = [0,0.87,0.995]
poles = [1.01,1.155]
import matplotlib.transforms
-plt.plot( # mark errors as vertical bars
+axs[0].plot( # mark errors as vertical bars
zeros,
np.zeros_like(zeros),
"o",
mfc='none',
color='black',
transform=matplotlib.transforms.blended_transform_factory(
- plt.gca().transData,
- plt.gca().transAxes,
+ axs[0].transData,
+ axs[0].transAxes,
),
)
-plt.plot( # mark errors as vertical bars
+axs[0].plot( # mark errors as vertical bars
poles,
np.ones_like(poles),
"x",
mfc='none',
color='black',
transform=matplotlib.transforms.blended_transform_factory(
- plt.gca().transData,
- plt.gca().transAxes,
+ axs[0].transData,
+ axs[0].transAxes,
),
)
-plt.xlim([0,2])
-plt.ylim([1e-4,1e6])
-plt.grid()
-plt.xlabel("$w$")
-plt.ylabel("$F^2_N(w)$")
-plt.legend()
-plt.tight_layout()
-plt.savefig("F_N_elliptic.pgf")
-plt.show()
-
-
-
-plt.figure(figsize=(4,2.5))
-plt.plot(w, mag, linewidth=1)
+for mode, c in enumerate(["green", "orange", "red"]):
+ w, FN2, mag, a, b = ellip_filter(N, mode=mode)
+ axs[1].plot(w, mag, linewidth=1, color=c)
-plt.gca().add_patch(Rectangle(
+axs[1].add_patch(Rectangle(
(0, np.sqrt(2)/2),
1, 1,
fc ='green',
alpha=0.2,
lw = 10,
))
-plt.gca().add_patch(Rectangle(
+axs[1].add_patch(Rectangle(
(1, 0.1),
- 0.01, np.sqrt(2)/2 - 0.1,
+ 0.00992, np.sqrt(2)/2 - 0.1,
fc ='orange',
alpha=0.2,
lw = 10,
))
-plt.gca().add_patch(Rectangle(
- (1.01, 0),
+axs[1].add_patch(Rectangle(
+ (1.00992, 0),
1, 0.1,
fc ='red',
alpha=0.2,
lw = 10,
))
-plt.grid()
-plt.xlim([0,2])
-plt.ylim([0,1])
-plt.xlabel("$w$")
-plt.ylabel("$|H(w)|$")
+axs[0].set_xlim([0,2])
+axs[0].set_ylim([1e-4,1e6])
+axs[0].grid()
+axs[0].set_ylabel("$F^2_N(w)$")
+axs[1].grid()
+axs[1].set_ylim([0,1])
+axs[1].set_ylabel("$|H(w)|$")
plt.tight_layout()
plt.savefig("elliptic.pgf")
plt.show()
diff --git a/buch/papers/ellfilter/python/k.pgf b/buch/papers/ellfilter/python/k.pgf
index 95d61d4..bbb823a 100644
--- a/buch/papers/ellfilter/python/k.pgf
+++ b/buch/papers/ellfilter/python/k.pgf
@@ -320,7 +320,7 @@
\pgfusepath{clip}%
\pgfsetrectcap%
\pgfsetroundjoin%
-\pgfsetlinewidth{0.100375pt}%
+\pgfsetlinewidth{1.003750pt}%
\definecolor{currentstroke}{rgb}{0.121569,0.466667,0.705882}%
\pgfsetstrokecolor{currentstroke}%
\pgfsetdash{}{0pt}%
@@ -434,7 +434,7 @@
\pgfusepath{clip}%
\pgfsetrectcap%
\pgfsetroundjoin%
-\pgfsetlinewidth{0.100375pt}%
+\pgfsetlinewidth{1.003750pt}%
\definecolor{currentstroke}{rgb}{1.000000,0.498039,0.054902}%
\pgfsetstrokecolor{currentstroke}%
\pgfsetdash{}{0pt}%
@@ -1011,56 +1011,6 @@
\pgfusepath{stroke}%
\end{pgfscope}%
\begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{2.874885in}{0.548769in}}{\pgfqpoint{1.940523in}{1.753186in}}%
-\pgfusepath{clip}%
-\pgfsetbuttcap%
-\pgfsetroundjoin%
-\definecolor{currentfill}{rgb}{0.121569,0.466667,0.705882}%
-\pgfsetfillcolor{currentfill}%
-\pgfsetlinewidth{1.003750pt}%
-\definecolor{currentstroke}{rgb}{0.121569,0.466667,0.705882}%
-\pgfsetstrokecolor{currentstroke}%
-\pgfsetdash{}{0pt}%
-\pgfsys@defobject{currentmarker}{\pgfqpoint{-0.006944in}{-0.006944in}}{\pgfqpoint{0.006944in}{0.006944in}}{%
-\pgfpathmoveto{\pgfqpoint{0.000000in}{-0.006944in}}%
-\pgfpathcurveto{\pgfqpoint{0.001842in}{-0.006944in}}{\pgfqpoint{0.003608in}{-0.006213in}}{\pgfqpoint{0.004910in}{-0.004910in}}%
-\pgfpathcurveto{\pgfqpoint{0.006213in}{-0.003608in}}{\pgfqpoint{0.006944in}{-0.001842in}}{\pgfqpoint{0.006944in}{0.000000in}}%
-\pgfpathcurveto{\pgfqpoint{0.006944in}{0.001842in}}{\pgfqpoint{0.006213in}{0.003608in}}{\pgfqpoint{0.004910in}{0.004910in}}%
-\pgfpathcurveto{\pgfqpoint{0.003608in}{0.006213in}}{\pgfqpoint{0.001842in}{0.006944in}}{\pgfqpoint{0.000000in}{0.006944in}}%
-\pgfpathcurveto{\pgfqpoint{-0.001842in}{0.006944in}}{\pgfqpoint{-0.003608in}{0.006213in}}{\pgfqpoint{-0.004910in}{0.004910in}}%
-\pgfpathcurveto{\pgfqpoint{-0.006213in}{0.003608in}}{\pgfqpoint{-0.006944in}{0.001842in}}{\pgfqpoint{-0.006944in}{0.000000in}}%
-\pgfpathcurveto{\pgfqpoint{-0.006944in}{-0.001842in}}{\pgfqpoint{-0.006213in}{-0.003608in}}{\pgfqpoint{-0.004910in}{-0.004910in}}%
-\pgfpathcurveto{\pgfqpoint{-0.003608in}{-0.006213in}}{\pgfqpoint{-0.001842in}{-0.006944in}}{\pgfqpoint{0.000000in}{-0.006944in}}%
-\pgfpathlineto{\pgfqpoint{0.000000in}{-0.006944in}}%
-\pgfpathclose%
-\pgfusepath{stroke,fill}%
-}%
-\begin{pgfscope}%
-\pgfsys@transformshift{3.384190in}{1.844597in}%
-\pgfsys@useobject{currentmarker}{}%
-\end{pgfscope}%
-\begin{pgfscope}%
-\pgfsys@transformshift{3.388110in}{1.606330in}%
-\pgfsys@useobject{currentmarker}{}%
-\end{pgfscope}%
-\begin{pgfscope}%
-\pgfsys@transformshift{3.405294in}{1.376014in}%
-\pgfsys@useobject{currentmarker}{}%
-\end{pgfscope}%
-\begin{pgfscope}%
-\pgfsys@transformshift{3.441114in}{1.248396in}%
-\pgfsys@useobject{currentmarker}{}%
-\end{pgfscope}%
-\begin{pgfscope}%
-\pgfsys@transformshift{3.612461in}{1.128939in}%
-\pgfsys@useobject{currentmarker}{}%
-\end{pgfscope}%
-\begin{pgfscope}%
-\pgfsys@transformshift{3.960478in}{1.102320in}%
-\pgfsys@useobject{currentmarker}{}%
-\end{pgfscope}%
-\end{pgfscope}%
-\begin{pgfscope}%
\pgfsetrectcap%
\pgfsetmiterjoin%
\pgfsetlinewidth{0.803000pt}%
@@ -1116,42 +1066,6 @@
\pgfsetfillcolor{textcolor}%
\pgftext[x=3.415254in,y=0.583833in,left,base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle \pi/2\)}%
\end{pgfscope}%
-\begin{pgfscope}%
-\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
-\pgfsetstrokecolor{textcolor}%
-\pgfsetfillcolor{textcolor}%
-\pgftext[x=3.416532in,y=1.879661in,left,base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle k=0.10\)}%
-\end{pgfscope}%
-\begin{pgfscope}%
-\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
-\pgfsetstrokecolor{textcolor}%
-\pgfsetfillcolor{textcolor}%
-\pgftext[x=3.420452in,y=1.641394in,left,base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle k=0.20\)}%
-\end{pgfscope}%
-\begin{pgfscope}%
-\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
-\pgfsetstrokecolor{textcolor}%
-\pgfsetfillcolor{textcolor}%
-\pgftext[x=3.437636in,y=1.411078in,left,base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle k=0.40\)}%
-\end{pgfscope}%
-\begin{pgfscope}%
-\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
-\pgfsetstrokecolor{textcolor}%
-\pgfsetfillcolor{textcolor}%
-\pgftext[x=3.473456in,y=1.283460in,left,base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle k=0.60\)}%
-\end{pgfscope}%
-\begin{pgfscope}%
-\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
-\pgfsetstrokecolor{textcolor}%
-\pgfsetfillcolor{textcolor}%
-\pgftext[x=3.644803in,y=1.164003in,left,base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle k=0.90\)}%
-\end{pgfscope}%
-\begin{pgfscope}%
-\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
-\pgfsetstrokecolor{textcolor}%
-\pgfsetfillcolor{textcolor}%
-\pgftext[x=3.992820in,y=1.137383in,left,base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle k=0.99\)}%
-\end{pgfscope}%
\end{pgfpicture}%
\makeatother%
\endgroup%