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authorenezerdem <105669082+enezerdem@users.noreply.github.com>2022-06-01 14:34:01 +0200
committerGitHub <noreply@github.com>2022-06-01 14:34:01 +0200
commit50030d5cc2bb12208ad64dd4f4730d2d71edf3a3 (patch)
treeaeffdfd06e1eec43070a58cee09b7e436792ee28 /buch/chapters
parentMerge pull request #7 from AndreasFMueller/master (diff)
parentfix participant lists (diff)
downloadSeminarSpezielleFunktionen-50030d5cc2bb12208ad64dd4f4730d2d71edf3a3.tar.gz
SeminarSpezielleFunktionen-50030d5cc2bb12208ad64dd4f4730d2d71edf3a3.zip
Merge pull request #8 from AndreasFMueller/master
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Diffstat (limited to '')
-rw-r--r--buch/chapters/040-rekursion/betaverteilung.tex2
-rw-r--r--buch/chapters/040-rekursion/images/order.pdfbin32692 -> 32688 bytes
-rw-r--r--buch/chapters/040-rekursion/images/order.tex2
-rw-r--r--buch/chapters/050-differential/images/besselgrid.pdfbin28324 -> 28306 bytes
-rw-r--r--buch/chapters/050-differential/images/besselgrid.tex3
5 files changed, 4 insertions, 3 deletions
diff --git a/buch/chapters/040-rekursion/betaverteilung.tex b/buch/chapters/040-rekursion/betaverteilung.tex
index 979d04c..77715ca 100644
--- a/buch/chapters/040-rekursion/betaverteilung.tex
+++ b/buch/chapters/040-rekursion/betaverteilung.tex
@@ -280,7 +280,7 @@ folgt jetzt
\begin{align*}
\varphi_{X_{k:n}}(x)
&=
-\varphi_X(x)k\binom{n}{k} F_X(x)^{k-1}(1-F_X(x))^{n-k}(x).
+\varphi_X(x)k\binom{n}{k} F_X(x)^{k-1}(1-F_X(x))^{n-k}.
\intertext{Im Speziellen für gleichverteilte Zufallsvariablen $X_i$ ist
}
\varphi_{X_{k:n}}(x)
diff --git a/buch/chapters/040-rekursion/images/order.pdf b/buch/chapters/040-rekursion/images/order.pdf
index cc175a9..88b2b08 100644
--- a/buch/chapters/040-rekursion/images/order.pdf
+++ b/buch/chapters/040-rekursion/images/order.pdf
Binary files differ
diff --git a/buch/chapters/040-rekursion/images/order.tex b/buch/chapters/040-rekursion/images/order.tex
index 9a2511c..0284735 100644
--- a/buch/chapters/040-rekursion/images/order.tex
+++ b/buch/chapters/040-rekursion/images/order.tex
@@ -65,7 +65,7 @@
\node at ({-0.1/\skala},{\y*\dy}) [left] {$\y$};
}
-\node[color=darkgreen] at (0.65,{0.5*\dy}) [above,rotate=55] {$k=7$};
+\node[color=darkgreen] at ({0.64*\dx},{0.56*\dy}) [rotate=42] {$k=7$};
\begin{scope}[yshift=-0.7cm]
\def\dy{0.125}
diff --git a/buch/chapters/050-differential/images/besselgrid.pdf b/buch/chapters/050-differential/images/besselgrid.pdf
index 6c551f4..a0fa332 100644
--- a/buch/chapters/050-differential/images/besselgrid.pdf
+++ b/buch/chapters/050-differential/images/besselgrid.pdf
Binary files differ
diff --git a/buch/chapters/050-differential/images/besselgrid.tex b/buch/chapters/050-differential/images/besselgrid.tex
index 01021e3..1c19363 100644
--- a/buch/chapters/050-differential/images/besselgrid.tex
+++ b/buch/chapters/050-differential/images/besselgrid.tex
@@ -65,7 +65,6 @@
}
\end{scope}
- \node at (-4.5,1.5) {$\Gamma(n+k+1)=\infty$};
}
\begin{tikzpicture}[>=latex,thick,scale=\skala]
@@ -75,6 +74,7 @@
\punkte
\nachse{black}
\kachse
+ \node at (-4.5,1.5) {$\Gamma(n+k+1)=\infty$};
\end{scope}
\begin{scope}[yshift=-7.8cm]
@@ -83,6 +83,7 @@
\punkte
\draw[->] (0.3,-0.3) -- (-6.4,6.4) coordinate[label={above right:$k$}];
\draw[->] (-3.3,3) -- (6.6,3) coordinate[label={right:$m$}];
+ \node at (-4.5,1.5) {$\Gamma(m+1)=\infty$};
\end{scope}
\end{tikzpicture}