From f189359801279428d5d42a05782648d64929cef3 Mon Sep 17 00:00:00 2001 From: RobinB27 Date: Fri, 27 Mar 2026 13:26:02 +0100 Subject: [PATCH] [PS] restructure --- semester4/ps/ps-rb/main.pdf | Bin 280795 -> 283444 bytes semester4/ps/ps-rb/main.tex | 9 ++++++--- semester4/ps/ps-rb/parts/00_prereq.tex | 7 +++++++ .../parts/{00_intro.tex => 01_basics.tex} | 4 ++++ .../{01_variables.tex => 02_variables.tex} | 0 ...{02_expectation.tex => 03_expectation.tex} | 0 semester6/iml/main.pdf | Bin 269375 -> 269375 bytes 7 files changed, 17 insertions(+), 3 deletions(-) create mode 100644 semester4/ps/ps-rb/parts/00_prereq.tex rename semester4/ps/ps-rb/parts/{00_intro.tex => 01_basics.tex} (98%) rename semester4/ps/ps-rb/parts/{01_variables.tex => 02_variables.tex} (100%) rename semester4/ps/ps-rb/parts/{02_expectation.tex => 03_expectation.tex} (100%) diff --git a/semester4/ps/ps-rb/main.pdf b/semester4/ps/ps-rb/main.pdf index 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zhA_m1g4qU>Cgs7e8T~l-%ifjw{Wn#>DfLt96zg}PrB!MR6+((zWF~HXgXH=@CRs1> z*;IxLG@KSItL~9yA6Y0d136t@>f0{clem$mj^cjQVgp@XQst`IUghu*B5hvEnZW84 zV2tcNr-_wNL2feeEa-XBNj7j7PLMtuU2xvmO6uM6;FRWOubMs^Q_yK`7U#wxN0*oG zvp>iej_8Y4)#Kpq&+S1QtB>r<(jGY@P^IY4z=zC&dhu&jf_GVwFWoPFnUAp9XC*6- z(uNaF%u?-4j}p^gb1hyXRhOpIYmQY??v#6^a}0N6Yw3;+NC 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 032a0af33ed1e5852e7afe439acbb8eb2214d6ee..90bd2dc152ef928a792cf96a9bf51710d96a7f0c 100644 GIT binary patch delta 117 zcmdnLLty_7frb{w7N!>FEi4)$?B<3B#%4yQ)AdDIWMG`_K_V=ctWIXeZpJ1i2Bt11 mrY_FLZcfI=u8u~QMviV~hE9gŠWHUyMxKP$;n!~_7#F&t$8 delta 117 zcmdnLLty_7frb{w7N!>FEi4)$>}H0>My3V^)AdDIWMG`_K_V=ctWGADF6QQ@W=_T~ mPG&9!ZZ77|hAvKyhHh@=rmk)V<}P*$HUyMxKP$;n!~_7|v>g8c