Add rule of thumb, analyse integrand, correct mistake in integration SLP<->LP

author: Patrik Müller <patrik.mueller@ost.ch> 2022-05-31 16:31:25 +0200
committer: Patrik Müller <patrik.mueller@ost.ch> 2022-05-31 16:31:25 +0200
commit: 6149839224755c21225d2decddeae12207c2cbab (patch)
tree: 3b7a2f02ad8e388c68eb6b5f3ea4144a50c5ad56 /buch/papers/laguerre/images
parent: Merge branch 'AndreasFMueller:master' into master (diff)
download: SeminarSpezielleFunktionen-6149839224755c21225d2decddeae12207c2cbab.tar.gz
SeminarSpezielleFunktionen-6149839224755c21225d2decddeae12207c2cbab.zip
7 files changed, 8485 insertions, 1440 deletions
diff --git a/buch/papers/laguerre/images/integrands.pgf b/buch/papers/laguerre/images/integrands.pgf
index 20b668e..c48ff96 100644
--- a/buch/papers/laguerre/images/integrands.pgf
+++ b/buch/papers/laguerre/images/integrands.pgf
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-\pgfpathlineto{\pgfqpoint{1.311169in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{1.160654in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{1.160654in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -550,12 +550,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{1.311169in}{0.463273in}%
+\pgfsys@transformshift{1.160654in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{5.352140in}{3.442295in}}%
+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
 \pgfusepath{clip}%
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@@ -563,8 +563,8 @@
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-\pgfpathmoveto{\pgfqpoint{1.356798in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{1.356798in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{1.197757in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{1.197757in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -582,12 +582,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{1.356798in}{0.463273in}%
+\pgfsys@transformshift{1.197757in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
 \pgfusepath{clip}%
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@@ -595,8 +595,8 @@
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-\pgfpathmoveto{\pgfqpoint{1.666140in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{1.666140in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{1.449302in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{1.449302in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -614,12 +614,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{1.666140in}{0.463273in}%
+\pgfsys@transformshift{1.449302in}{0.463273in}%
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 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -627,8 +627,8 @@
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-\pgfpathlineto{\pgfqpoint{1.823218in}{3.905568in}}%
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 \pgfusepath{stroke}%
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 \begin{pgfscope}%
@@ -646,12 +646,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{1.823218in}{0.463273in}%
+\pgfsys@transformshift{1.577031in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
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 \end{pgfscope}%
 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -659,8 +659,8 @@
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-\pgfpathlineto{\pgfqpoint{1.934666in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{1.667656in}{0.463273in}}%
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 \pgfusepath{stroke}%
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 \begin{pgfscope}%
@@ -678,12 +678,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{1.934666in}{0.463273in}%
+\pgfsys@transformshift{1.667656in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -691,8 +691,8 @@
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-\pgfpathlineto{\pgfqpoint{2.021112in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -710,12 +710,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{2.021112in}{0.463273in}%
+\pgfsys@transformshift{1.737951in}{0.463273in}%
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 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -723,8 +723,8 @@
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-\pgfpathlineto{\pgfqpoint{2.091744in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -742,12 +742,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{2.091744in}{0.463273in}%
+\pgfsys@transformshift{1.795385in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
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 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -755,8 +755,8 @@
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-\pgfpathlineto{\pgfqpoint{2.151462in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{1.843946in}{0.463273in}}%
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 \begin{pgfscope}%
@@ -774,12 +774,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{2.151462in}{0.463273in}%
+\pgfsys@transformshift{1.843946in}{0.463273in}%
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@@ -787,8 +787,8 @@
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-\pgfpathlineto{\pgfqpoint{2.203192in}{3.905568in}}%
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 \pgfusepath{stroke}%
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 \begin{pgfscope}%
@@ -806,12 +806,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{2.203192in}{0.463273in}%
+\pgfsys@transformshift{1.886010in}{0.463273in}%
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 \begin{pgfscope}%
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@@ -819,8 +819,8 @@
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-\pgfpathlineto{\pgfqpoint{2.248821in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -838,12 +838,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{2.248821in}{0.463273in}%
+\pgfsys@transformshift{1.923114in}{0.463273in}%
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@@ -851,8 +851,8 @@
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-\pgfpathlineto{\pgfqpoint{2.558164in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -870,12 +870,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
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+\pgfsys@transformshift{2.174659in}{0.463273in}%
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@@ -883,8 +883,8 @@
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-\pgfpathlineto{\pgfqpoint{2.715241in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -902,12 +902,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
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+\pgfsys@transformshift{2.302388in}{0.463273in}%
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@@ -915,8 +915,8 @@
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-\pgfpathlineto{\pgfqpoint{2.826690in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -934,12 +934,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
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+\pgfsys@transformshift{2.393013in}{0.463273in}%
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 \begin{pgfscope}%
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@@ -947,8 +947,8 @@
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-\pgfpathlineto{\pgfqpoint{2.913136in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -966,12 +966,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{2.913136in}{0.463273in}%
+\pgfsys@transformshift{2.463307in}{0.463273in}%
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 \begin{pgfscope}%
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@@ -979,8 +979,8 @@
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-\pgfpathlineto{\pgfqpoint{2.983767in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -998,12 +998,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
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+\pgfsys@transformshift{2.520742in}{0.463273in}%
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@@ -1011,8 +1011,8 @@
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-\pgfpathlineto{\pgfqpoint{3.043485in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -1030,12 +1030,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
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+\pgfsys@transformshift{2.569302in}{0.463273in}%
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@@ -1043,8 +1043,8 @@
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-\pgfpathlineto{\pgfqpoint{3.095215in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -1062,12 +1062,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
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+\pgfsys@transformshift{2.611367in}{0.463273in}%
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@@ -1075,8 +1075,8 @@
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-\pgfpathlineto{\pgfqpoint{3.140845in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -1094,12 +1094,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{3.140845in}{0.463273in}%
+\pgfsys@transformshift{2.648471in}{0.463273in}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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 \pgfsetrectcap%
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@@ -1107,8 +1107,8 @@
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-\pgfpathlineto{\pgfqpoint{3.450187in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{2.900016in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{2.900016in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -1126,12 +1126,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{3.450187in}{0.463273in}%
+\pgfsys@transformshift{2.900016in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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 \pgfsetrectcap%
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@@ -1139,8 +1139,8 @@
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-\pgfpathmoveto{\pgfqpoint{3.607265in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{3.607265in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{3.027745in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{3.027745in}{2.905568in}}%
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 \begin{pgfscope}%
@@ -1158,12 +1158,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{3.607265in}{0.463273in}%
+\pgfsys@transformshift{3.027745in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
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 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -1171,8 +1171,8 @@
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-\pgfpathlineto{\pgfqpoint{3.718713in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{3.118370in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{3.118370in}{2.905568in}}%
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 \begin{pgfscope}%
@@ -1190,12 +1190,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{3.718713in}{0.463273in}%
+\pgfsys@transformshift{3.118370in}{0.463273in}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -1203,8 +1203,8 @@
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-\pgfpathlineto{\pgfqpoint{3.805159in}{3.905568in}}%
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+\pgfpathlineto{\pgfqpoint{3.188664in}{2.905568in}}%
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 \begin{pgfscope}%
@@ -1222,12 +1222,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{3.805159in}{0.463273in}%
+\pgfsys@transformshift{3.188664in}{0.463273in}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -1235,8 +1235,8 @@
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-\pgfpathlineto{\pgfqpoint{3.875791in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -1254,12 +1254,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{3.875791in}{0.463273in}%
+\pgfsys@transformshift{3.246099in}{0.463273in}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -1267,8 +1267,8 @@
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-\pgfpathlineto{\pgfqpoint{3.935509in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{3.294659in}{0.463273in}}%
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 \begin{pgfscope}%
@@ -1286,12 +1286,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{3.935509in}{0.463273in}%
+\pgfsys@transformshift{3.294659in}{0.463273in}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -1299,8 +1299,8 @@
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-\pgfpathlineto{\pgfqpoint{3.987239in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -1318,12 +1318,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{3.987239in}{0.463273in}%
+\pgfsys@transformshift{3.336724in}{0.463273in}%
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 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -1331,8 +1331,8 @@
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-\pgfpathlineto{\pgfqpoint{4.032868in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -1350,12 +1350,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{4.032868in}{0.463273in}%
+\pgfsys@transformshift{3.373828in}{0.463273in}%
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@@ -1363,8 +1363,8 @@
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-\pgfpathlineto{\pgfqpoint{4.342211in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -1382,12 +1382,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{4.342211in}{0.463273in}%
+\pgfsys@transformshift{3.625372in}{0.463273in}%
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@@ -1395,8 +1395,8 @@
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-\pgfpathlineto{\pgfqpoint{4.499288in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -1414,12 +1414,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
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+\pgfsys@transformshift{3.753101in}{0.463273in}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -1427,8 +1427,8 @@
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-\pgfpathlineto{\pgfqpoint{4.610736in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -1446,12 +1446,12 @@
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 }%
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+\pgfsys@transformshift{3.843726in}{0.463273in}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -1459,8 +1459,8 @@
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-\pgfpathlineto{\pgfqpoint{4.697182in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -1478,12 +1478,12 @@
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 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{4.697182in}{0.463273in}%
+\pgfsys@transformshift{3.914021in}{0.463273in}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -1491,8 +1491,8 @@
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-\pgfpathlineto{\pgfqpoint{4.767814in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -1510,12 +1510,12 @@
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 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{4.767814in}{0.463273in}%
+\pgfsys@transformshift{3.971455in}{0.463273in}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -1523,8 +1523,8 @@
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-\pgfpathlineto{\pgfqpoint{4.827532in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -1542,12 +1542,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
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+\pgfsys@transformshift{4.020016in}{0.463273in}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -1555,8 +1555,8 @@
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-\pgfpathlineto{\pgfqpoint{4.879262in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -1574,12 +1574,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
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+\pgfsys@transformshift{4.062081in}{0.463273in}%
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@@ -1587,8 +1587,8 @@
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-\pgfpathlineto{\pgfqpoint{4.924892in}{3.905568in}}%
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 \begin{pgfscope}%
@@ -1606,12 +1606,12 @@
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 \begin{pgfscope}%
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+\pgfsys@transformshift{4.099184in}{0.463273in}%
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@@ -1619,8 +1619,8 @@
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 \begin{pgfscope}%
@@ -1638,12 +1638,12 @@
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 \begin{pgfscope}%
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@@ -1651,8 +1651,8 @@
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 \begin{pgfscope}%
@@ -1670,12 +1670,12 @@
 \pgfusepath{stroke,fill}%
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+\pgfsys@transformshift{4.478458in}{0.463273in}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -1683,8 +1683,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
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-\pgfpathmoveto{\pgfqpoint{5.502760in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{5.502760in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{4.569083in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{4.569083in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -1702,12 +1702,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{5.502760in}{0.463273in}%
+\pgfsys@transformshift{4.569083in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -1715,8 +1715,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
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-\pgfpathmoveto{\pgfqpoint{5.589206in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{5.589206in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{4.639378in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{4.639378in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -1734,12 +1734,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{5.589206in}{0.463273in}%
+\pgfsys@transformshift{4.639378in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
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 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -1747,8 +1747,8 @@
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-\pgfpathmoveto{\pgfqpoint{5.659837in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{5.659837in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{4.696812in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{4.696812in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -1766,12 +1766,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{5.659837in}{0.463273in}%
+\pgfsys@transformshift{4.696812in}{0.463273in}%
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 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -1779,8 +1779,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
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-\pgfpathmoveto{\pgfqpoint{5.719555in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{5.719555in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{4.745372in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{4.745372in}{2.905568in}}%
 \pgfusepath{stroke}%
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 \begin{pgfscope}%
@@ -1798,12 +1798,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{5.719555in}{0.463273in}%
+\pgfsys@transformshift{4.745372in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
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 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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@@ -1811,8 +1811,8 @@
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-\pgfpathmoveto{\pgfqpoint{5.771286in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{5.771286in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{4.787437in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{4.787437in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -1830,12 +1830,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{5.771286in}{0.463273in}%
+\pgfsys@transformshift{4.787437in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
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 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -1843,8 +1843,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
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-\pgfpathmoveto{\pgfqpoint{5.816915in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{5.816915in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{4.824541in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{4.824541in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -1862,7 +1862,7 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{5.816915in}{0.463273in}%
+\pgfsys@transformshift{4.824541in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
@@ -1870,10 +1870,10 @@
 \definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
 \pgfsetstrokecolor{textcolor}%
 \pgfsetfillcolor{textcolor}%
-\pgftext[x=3.181661in,y=0.176083in,,top]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle t\)}%
+\pgftext[x=2.681661in,y=0.176083in,,top]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle x\)}%
 \end{pgfscope}%
 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -1881,8 +1881,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
 \pgfsetstrokecolor{currentstroke}%
 \pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{0.505591in}{0.893485in}}%
-\pgfpathlineto{\pgfqpoint{5.857732in}{0.893485in}}%
+\pgfpathmoveto{\pgfqpoint{0.505591in}{0.768507in}}%
+\pgfpathlineto{\pgfqpoint{4.857732in}{0.768507in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -1900,7 +1900,7 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{0.505591in}{0.893485in}%
+\pgfsys@transformshift{0.505591in}{0.768507in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
@@ -1908,10 +1908,10 @@
 \definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
 \pgfsetstrokecolor{textcolor}%
 \pgfsetfillcolor{textcolor}%
-\pgftext[x=0.320004in, y=0.840723in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 5}%
+\pgftext[x=0.320004in, y=0.715745in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 5}%
 \end{pgfscope}%
 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -1919,8 +1919,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
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-\pgfpathmoveto{\pgfqpoint{0.505591in}{1.323783in}}%
-\pgfpathlineto{\pgfqpoint{5.857732in}{1.323783in}}%
+\pgfpathmoveto{\pgfqpoint{0.505591in}{1.073801in}}%
+\pgfpathlineto{\pgfqpoint{4.857732in}{1.073801in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -1938,7 +1938,7 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{0.505591in}{1.323783in}%
+\pgfsys@transformshift{0.505591in}{1.073801in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
@@ -1946,10 +1946,10 @@
 \definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
 \pgfsetstrokecolor{textcolor}%
 \pgfsetfillcolor{textcolor}%
-\pgftext[x=0.231638in, y=1.271021in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 10}%
+\pgftext[x=0.231638in, y=1.021040in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 10}%
 \end{pgfscope}%
 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -1957,8 +1957,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
 \pgfsetstrokecolor{currentstroke}%
 \pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{0.505591in}{1.754080in}}%
-\pgfpathlineto{\pgfqpoint{5.857732in}{1.754080in}}%
+\pgfpathmoveto{\pgfqpoint{0.505591in}{1.379096in}}%
+\pgfpathlineto{\pgfqpoint{4.857732in}{1.379096in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -1976,7 +1976,7 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{0.505591in}{1.754080in}%
+\pgfsys@transformshift{0.505591in}{1.379096in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
@@ -1984,10 +1984,10 @@
 \definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
 \pgfsetstrokecolor{textcolor}%
 \pgfsetfillcolor{textcolor}%
-\pgftext[x=0.231638in, y=1.701319in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 15}%
+\pgftext[x=0.231638in, y=1.326334in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 15}%
 \end{pgfscope}%
 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -1995,8 +1995,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
 \pgfsetstrokecolor{currentstroke}%
 \pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{0.505591in}{2.184378in}}%
-\pgfpathlineto{\pgfqpoint{5.857732in}{2.184378in}}%
+\pgfpathmoveto{\pgfqpoint{0.505591in}{1.684390in}}%
+\pgfpathlineto{\pgfqpoint{4.857732in}{1.684390in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -2014,7 +2014,7 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{0.505591in}{2.184378in}%
+\pgfsys@transformshift{0.505591in}{1.684390in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
@@ -2022,10 +2022,10 @@
 \definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
 \pgfsetstrokecolor{textcolor}%
 \pgfsetfillcolor{textcolor}%
-\pgftext[x=0.231638in, y=2.131616in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 20}%
+\pgftext[x=0.231638in, y=1.631629in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 20}%
 \end{pgfscope}%
 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
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@@ -2033,8 +2033,8 @@
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-\pgfpathmoveto{\pgfqpoint{0.505591in}{2.614676in}}%
-\pgfpathlineto{\pgfqpoint{5.857732in}{2.614676in}}%
+\pgfpathmoveto{\pgfqpoint{0.505591in}{1.989685in}}%
+\pgfpathlineto{\pgfqpoint{4.857732in}{1.989685in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -2052,7 +2052,7 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{0.505591in}{2.614676in}%
+\pgfsys@transformshift{0.505591in}{1.989685in}%
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 \end{pgfscope}%
 \end{pgfscope}%
@@ -2060,10 +2060,10 @@
 \definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
 \pgfsetstrokecolor{textcolor}%
 \pgfsetfillcolor{textcolor}%
-\pgftext[x=0.231638in, y=2.561914in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 25}%
+\pgftext[x=0.231638in, y=1.936923in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 25}%
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 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
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 \pgfsetrectcap%
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@@ -2071,8 +2071,8 @@
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-\pgfpathmoveto{\pgfqpoint{0.505591in}{3.044973in}}%
-\pgfpathlineto{\pgfqpoint{5.857732in}{3.044973in}}%
+\pgfpathmoveto{\pgfqpoint{0.505591in}{2.294979in}}%
+\pgfpathlineto{\pgfqpoint{4.857732in}{2.294979in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -2090,7 +2090,7 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{0.505591in}{3.044973in}%
+\pgfsys@transformshift{0.505591in}{2.294979in}%
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 \end{pgfscope}%
 \end{pgfscope}%
@@ -2098,10 +2098,10 @@
 \definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
 \pgfsetstrokecolor{textcolor}%
 \pgfsetfillcolor{textcolor}%
-\pgftext[x=0.231638in, y=2.992212in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 30}%
+\pgftext[x=0.231638in, y=2.242218in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 30}%
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 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
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@@ -2109,8 +2109,8 @@
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-\pgfpathmoveto{\pgfqpoint{0.505591in}{3.475271in}}%
-\pgfpathlineto{\pgfqpoint{5.857732in}{3.475271in}}%
+\pgfpathmoveto{\pgfqpoint{0.505591in}{2.600274in}}%
+\pgfpathlineto{\pgfqpoint{4.857732in}{2.600274in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -2128,7 +2128,7 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{0.505591in}{3.475271in}%
+\pgfsys@transformshift{0.505591in}{2.600274in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
@@ -2136,10 +2136,10 @@
 \definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
 \pgfsetstrokecolor{textcolor}%
 \pgfsetfillcolor{textcolor}%
-\pgftext[x=0.231638in, y=3.422509in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 35}%
+\pgftext[x=0.231638in, y=2.547512in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 35}%
 \end{pgfscope}%
 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.352140in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -2147,8 +2147,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
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-\pgfpathmoveto{\pgfqpoint{0.505591in}{3.905568in}}%
-\pgfpathlineto{\pgfqpoint{5.857732in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{0.505591in}{2.905568in}}%
+\pgfpathlineto{\pgfqpoint{4.857732in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -2166,7 +2166,7 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{0.505591in}{3.905568in}%
+\pgfsys@transformshift{0.505591in}{2.905568in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
@@ -2174,16 +2174,16 @@
 \definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
 \pgfsetstrokecolor{textcolor}%
 \pgfsetfillcolor{textcolor}%
-\pgftext[x=0.231638in, y=3.852807in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 40}%
+\pgftext[x=0.231638in, y=2.852807in, left, base]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 40}%
 \end{pgfscope}%
 \begin{pgfscope}%
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 \pgfsetstrokecolor{textcolor}%
 \pgfsetfillcolor{textcolor}%
-\pgftext[x=0.176083in,y=2.184421in,,bottom,rotate=90.000000]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle t^z\)}%
+\pgftext[x=0.176083in,y=1.684421in,,bottom,rotate=90.000000]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle x^z\)}%
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diff --git a/buch/papers/laguerre/images/integrands_exp.pgf b/buch/papers/laguerre/images/integrands_exp.pgf
index 897fc4a..de5078f 100644
--- a/buch/papers/laguerre/images/integrands_exp.pgf
+++ b/buch/papers/laguerre/images/integrands_exp.pgf
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+\pgfpathlineto{\pgfqpoint{1.149177in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -276,12 +276,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{1.293714in}{0.463273in}%
+\pgfsys@transformshift{1.149177in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{5.452739in}{3.442295in}}%
+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -289,8 +289,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
 \pgfsetstrokecolor{currentstroke}%
 \pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{1.500092in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{1.500092in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{1.317706in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{1.317706in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -308,12 +308,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{1.500092in}{0.463273in}%
+\pgfsys@transformshift{1.317706in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{5.452739in}{3.442295in}}%
+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -321,8 +321,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
 \pgfsetstrokecolor{currentstroke}%
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-\pgfpathmoveto{\pgfqpoint{1.660171in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{1.660171in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{1.448428in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{1.448428in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -340,12 +340,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{1.660171in}{0.463273in}%
+\pgfsys@transformshift{1.448428in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{5.452739in}{3.442295in}}%
+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -353,8 +353,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
 \pgfsetstrokecolor{currentstroke}%
 \pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{1.790964in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{1.790964in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{1.555235in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{1.555235in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -372,12 +372,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{1.790964in}{0.463273in}%
+\pgfsys@transformshift{1.555235in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{5.452739in}{3.442295in}}%
+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -385,8 +385,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
 \pgfsetstrokecolor{currentstroke}%
 \pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{1.901549in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{1.901549in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{1.645539in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{1.645539in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -404,12 +404,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{1.901549in}{0.463273in}%
+\pgfsys@transformshift{1.645539in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{5.452739in}{3.442295in}}%
+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -417,8 +417,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
 \pgfsetstrokecolor{currentstroke}%
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-\pgfpathmoveto{\pgfqpoint{1.997342in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{1.997342in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{1.723764in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{1.723764in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -436,12 +436,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{1.997342in}{0.463273in}%
+\pgfsys@transformshift{1.723764in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{5.452739in}{3.442295in}}%
+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -449,8 +449,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
 \pgfsetstrokecolor{currentstroke}%
 \pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{2.081837in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{2.081837in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{1.792763in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{1.792763in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -468,12 +468,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{2.081837in}{0.463273in}%
+\pgfsys@transformshift{1.792763in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{5.452739in}{3.442295in}}%
+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -481,8 +481,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
 \pgfsetstrokecolor{currentstroke}%
 \pgfsetdash{}{0pt}%
-\pgfpathmoveto{\pgfqpoint{2.654671in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{2.654671in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{2.260542in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{2.260542in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -500,12 +500,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{2.654671in}{0.463273in}%
+\pgfsys@transformshift{2.260542in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{5.452739in}{3.442295in}}%
+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -513,8 +513,8 @@
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-\pgfpathmoveto{\pgfqpoint{2.945544in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{2.945544in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{2.498071in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{2.498071in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -532,12 +532,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{2.945544in}{0.463273in}%
+\pgfsys@transformshift{2.498071in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{5.452739in}{3.442295in}}%
+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -545,8 +545,8 @@
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-\pgfpathmoveto{\pgfqpoint{3.151921in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{3.151921in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{2.666600in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{2.666600in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -564,12 +564,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{3.151921in}{0.463273in}%
+\pgfsys@transformshift{2.666600in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{5.452739in}{3.442295in}}%
+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -577,8 +577,8 @@
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-\pgfpathmoveto{\pgfqpoint{3.312000in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{3.312000in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{2.797321in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{2.797321in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -596,12 +596,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{3.312000in}{0.463273in}%
+\pgfsys@transformshift{2.797321in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
-\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{5.452739in}{3.442295in}}%
+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -609,8 +609,8 @@
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-\pgfpathmoveto{\pgfqpoint{3.442794in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{3.442794in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{2.904128in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{2.904128in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -628,12 +628,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{3.442794in}{0.463273in}%
+\pgfsys@transformshift{2.904128in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -641,8 +641,8 @@
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-\pgfpathmoveto{\pgfqpoint{3.553379in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{3.553379in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{2.994432in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{2.994432in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -660,12 +660,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{3.553379in}{0.463273in}%
+\pgfsys@transformshift{2.994432in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
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 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -673,8 +673,8 @@
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-\pgfpathmoveto{\pgfqpoint{3.649171in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{3.649171in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{3.072657in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{3.072657in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -692,12 +692,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{3.649171in}{0.463273in}%
+\pgfsys@transformshift{3.072657in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -705,8 +705,8 @@
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-\pgfpathmoveto{\pgfqpoint{3.733667in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{3.733667in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{3.141657in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{3.141657in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -724,12 +724,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{3.733667in}{0.463273in}%
+\pgfsys@transformshift{3.141657in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
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@@ -737,8 +737,8 @@
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-\pgfpathmoveto{\pgfqpoint{4.306500in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{4.306500in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{3.609436in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{3.609436in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -756,12 +756,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{4.306500in}{0.463273in}%
+\pgfsys@transformshift{3.609436in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
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 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
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@@ -769,8 +769,8 @@
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-\pgfpathmoveto{\pgfqpoint{4.597373in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{4.597373in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{3.846965in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{3.846965in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -788,12 +788,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{4.597373in}{0.463273in}%
+\pgfsys@transformshift{3.846965in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
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 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -801,8 +801,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
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-\pgfpathmoveto{\pgfqpoint{4.803751in}{0.463273in}}%
-\pgfpathlineto{\pgfqpoint{4.803751in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{4.015494in}{0.463273in}}%
+\pgfpathlineto{\pgfqpoint{4.015494in}{2.905568in}}%
 \pgfusepath{stroke}%
 \end{pgfscope}%
 \begin{pgfscope}%
@@ -820,12 +820,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{4.803751in}{0.463273in}%
+\pgfsys@transformshift{4.015494in}{0.463273in}%
 \pgfsys@useobject{currentmarker}{}%
 \end{pgfscope}%
 \end{pgfscope}%
 \begin{pgfscope}%
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+\pgfpathrectangle{\pgfqpoint{0.505591in}{0.463273in}}{\pgfqpoint{4.452739in}{2.442295in}}%
 \pgfusepath{clip}%
 \pgfsetrectcap%
 \pgfsetroundjoin%
@@ -833,8 +833,8 @@
 \definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
 \pgfsetstrokecolor{currentstroke}%
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-\pgfpathlineto{\pgfqpoint{4.963830in}{3.905568in}}%
+\pgfpathmoveto{\pgfqpoint{4.146215in}{0.463273in}}%
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 \begin{pgfscope}%
@@ -852,12 +852,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
-\pgfsys@transformshift{4.963830in}{0.463273in}%
+\pgfsys@transformshift{4.146215in}{0.463273in}%
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 \begin{pgfscope}%
@@ -884,12 +884,12 @@
 \pgfusepath{stroke,fill}%
 }%
 \begin{pgfscope}%
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+\pgfsys@transformshift{4.253022in}{0.463273in}%
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@@ -897,8 +897,8 @@
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@@ -916,12 +916,12 @@
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 }%
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@@ -948,12 +948,12 @@
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 }%
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@@ -980,12 +980,12 @@
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 }%
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@@ -1012,7 +1012,7 @@
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 }%
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@@ -1050,7 +1050,7 @@
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diff --git a/buch/papers/laguerre/images/rel_error_mirror.pgf b/buch/papers/laguerre/images/rel_error_mirror.pgf
new file mode 100644
index 0000000..de1cd53
--- /dev/null
+++ b/buch/papers/laguerre/images/rel_error_mirror.pgf
@@ -0,0 +1,3054 @@
+%% Creator: Matplotlib, PGF backend
+%%
+%% To include the figure in your LaTeX document, write
+%%   \input{<filename>.pgf}
+%%
+%% Make sure the required packages are loaded in your preamble
+%%   \usepackage{pgf}
+%%
+%% Also ensure that all the required font packages are loaded; for instance,
+%% the lmodern package is sometimes necessary when using math font.
+%%   \usepackage{lmodern}
+%%
+%% Figures using additional raster images can only be included by \input if
+%% they are in the same directory as the main LaTeX file. For loading figures
+%% from other directories you can use the `import` package
+%%   \usepackage{import}
+%%
+%% and then include the figures with
+%%   \import{<path to file>}{<filename>.pgf}
+%%
+%% Matplotlib used the following preamble
+%%   \usepackage{fontspec}
+%%   \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/home/mup/.local/lib/python3.8/site-packages/matplotlib/mpl-data/fonts/ttf/}]
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+%%   \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/home/mup/.local/lib/python3.8/site-packages/matplotlib/mpl-data/fonts/ttf/}]
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diff --git a/buch/papers/laguerre/images/rel_error_simple.pgf b/buch/papers/laguerre/images/rel_error_simple.pgf
new file mode 100644
index 0000000..9368616
--- /dev/null
+++ b/buch/papers/laguerre/images/rel_error_simple.pgf
@@ -0,0 +1,2940 @@
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diff --git a/buch/papers/laguerre/images/rel_error_simple.png b/buch/papers/laguerre/images/rel_error_simple.png
new file mode 100644
index 0000000..8bcd8e0
--- /dev/null
+++ b/buch/papers/laguerre/images/rel_error_simple.png
diff --git a/buch/papers/laguerre/images/schaetzung.pgf b/buch/papers/laguerre/images/schaetzung.pgf
new file mode 100644
index 0000000..873a10c
--- /dev/null
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@@ -0,0 +1,1160 @@
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diff --git a/buch/papers/laguerre/images/targets.pdf b/buch/papers/laguerre/images/targets.pdf
new file mode 100644
index 0000000..22c2c5a
--- /dev/null
+++ b/buch/papers/laguerre/images/targets.pdf
author	Patrik Müller <patrik.mueller@ost.ch>	2022-05-31 16:31:25 +0200
committer	Patrik Müller <patrik.mueller@ost.ch>	2022-05-31 16:31:25 +0200
commit	6149839224755c21225d2decddeae12207c2cbab (patch)
tree	3b7a2f02ad8e388c68eb6b5f3ea4144a50c5ad56 /buch/papers/laguerre/images
parent	Merge branch 'AndreasFMueller:master' into master (diff)
download	SeminarSpezielleFunktionen-6149839224755c21225d2decddeae12207c2cbab.tar.gz SeminarSpezielleFunktionen-6149839224755c21225d2decddeae12207c2cbab.zip