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-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
-rw-r--r--buch/papers/nav/beispiel.txt4
6 files changed, 6 insertions, 5 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}
diff --git a/buch/papers/nav/beispiel.txt b/buch/papers/nav/beispiel.txt
index 853ae4e..70e3ce2 100644
--- a/buch/papers/nav/beispiel.txt
+++ b/buch/papers/nav/beispiel.txt
@@ -1,10 +1,10 @@
Datum: 28. 5. 2022
Zeit: 15:29:49 UTC
-Sternzeit: 7h 54m 26.593s
+Sternzeit: 7h 54m 26.593s 7.90738694h
Deneb
-RA 20h 42m 12.14s 10.703372h
+RA 20h 42m 12.14s 20.703372h
DEC 45 21' 40.3" 45.361194
H 50g 15' 17.1" 50.254750h