diff options
Diffstat (limited to '')
-rw-r--r-- | buch/chapters/040-rekursion/betaverteilung.tex | 2 | ||||
-rw-r--r-- | buch/chapters/040-rekursion/images/order.pdf | bin | 32692 -> 32688 bytes | |||
-rw-r--r-- | buch/chapters/040-rekursion/images/order.tex | 2 | ||||
-rw-r--r-- | buch/chapters/050-differential/images/besselgrid.pdf | bin | 28324 -> 28306 bytes | |||
-rw-r--r-- | buch/chapters/050-differential/images/besselgrid.tex | 3 | ||||
-rw-r--r-- | buch/papers/nav/beispiel.txt | 4 |
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 Binary files differindex cc175a9..88b2b08 100644 --- a/buch/chapters/040-rekursion/images/order.pdf +++ b/buch/chapters/040-rekursion/images/order.pdf 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 Binary files differindex 6c551f4..a0fa332 100644 --- a/buch/chapters/050-differential/images/besselgrid.pdf +++ b/buch/chapters/050-differential/images/besselgrid.pdf 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 |