diff --git a/semester4/ps/ps-rb/main.pdf b/semester4/ps/ps-rb/main.pdf index 583031b..be1ce27 100644 Binary files a/semester4/ps/ps-rb/main.pdf and b/semester4/ps/ps-rb/main.pdf differ diff --git a/semester4/ps/ps-rb/main.tex b/semester4/ps/ps-rb/main.tex index e099109..32bf772 100644 --- a/semester4/ps/ps-rb/main.tex +++ b/semester4/ps/ps-rb/main.tex @@ -9,15 +9,18 @@ \begin{document} \subtext{Basiert auf dem Skript von V. Tassion} +\input{parts/00_prereq.tex} + +\newpage \section{Wahrscheinlichkeitsräume} -\input{parts/00_intro.tex} +\input{parts/01_basics.tex} \newpage \section{Zufallsvariablen} -\input{parts/01_variables.tex} +\input{parts/02_variables.tex} \newpage \section{Erwartungswert} -\input{parts/02_expectation.tex} +\input{parts/03_expectation.tex} \end{document} diff --git a/semester4/ps/ps-rb/parts/00_prereq.tex b/semester4/ps/ps-rb/parts/00_prereq.tex new file mode 100644 index 0000000..7821ad9 --- /dev/null +++ b/semester4/ps/ps-rb/parts/00_prereq.tex @@ -0,0 +1,7 @@ +\section*{Vorwissen} + +\definition \textbf{Geometrische Reihe} +$$ + s_n = a_1 \cdot \frac{1-q^n}{1-q} \qquad \underset{n\to\infty}{\lim} s_n = \frac{a_1}{1-q} +$$ +\subtext{Wobei $a_i = a_1 \cdot q^{i-1}$} \ No newline at end of file diff --git a/semester4/ps/ps-rb/parts/00_intro.tex b/semester4/ps/ps-rb/parts/01_basics.tex similarity index 98% rename from semester4/ps/ps-rb/parts/00_intro.tex rename to semester4/ps/ps-rb/parts/01_basics.tex index 298fa38..a67c666 100644 --- a/semester4/ps/ps-rb/parts/00_intro.tex +++ b/semester4/ps/ps-rb/parts/01_basics.tex @@ -112,6 +112,10 @@ $$ A, B \text{ unabhängig } \iffdef \P[A \cap B] = \P[A] \cdot \P[B] $$ +{\scriptsize + \notation $A\ \bot\ B \iffdef A,B$ unabhängig +} + \lemma \textbf{Äquivalente Aussagen zur Unabhängigkeit} \begin{tabular}{lll} diff --git a/semester4/ps/ps-rb/parts/01_variables.tex b/semester4/ps/ps-rb/parts/02_variables.tex similarity index 100% rename from semester4/ps/ps-rb/parts/01_variables.tex rename to semester4/ps/ps-rb/parts/02_variables.tex diff --git a/semester4/ps/ps-rb/parts/02_expectation.tex b/semester4/ps/ps-rb/parts/03_expectation.tex similarity index 100% rename from semester4/ps/ps-rb/parts/02_expectation.tex rename to semester4/ps/ps-rb/parts/03_expectation.tex diff --git a/semester6/iml/main.pdf b/semester6/iml/main.pdf index 032a0af..90bd2dc 100644 Binary files a/semester6/iml/main.pdf and b/semester6/iml/main.pdf differ