From 77f3af0246f421a8649e024f4f0198d833644431 Mon Sep 17 00:00:00 2001 From: Janis Hutz Date: Wed, 25 Feb 2026 19:46:07 +0100 Subject: [PATCH] [PS] Almost caught up --- .../dmdb/data-modelling-databases-summary.tex | 8 ++++++-- .../01_random-variables/00_definition.tex | 7 +++++++ .../probability-and-statistics-cheatsheet.pdf | Bin 279920 -> 283188 bytes 3 files changed, 13 insertions(+), 2 deletions(-) diff --git a/semester4/dmdb/data-modelling-databases-summary.tex b/semester4/dmdb/data-modelling-databases-summary.tex index e426f83..e46a528 100644 --- a/semester4/dmdb/data-modelling-databases-summary.tex +++ b/semester4/dmdb/data-modelling-databases-summary.tex @@ -19,10 +19,10 @@ \vspace{2cm} \begin{center} \begin{Large} - \quote{A funny quote by a professor} + \quote{A curry can be written in many different ways} \end{Large} - \hspace{3cm} - Prof. Dr. Professor Name, YEAR + \hspace{3cm} - Prof. Dr. Gustavo Alonso, 2026 \end{center} \vspace{1.5cm} @@ -39,6 +39,10 @@ \printtoc{Aquamarine} +\section{Introduction} +A note on the quote on the title page: He did not \textit{actually} mean ``curry'', but of course ``query'', but he just pronounced it that way. + + diff --git a/semester4/ps/ps-jh/parts/01_random-variables/00_definition.tex b/semester4/ps/ps-jh/parts/01_random-variables/00_definition.tex index 2ce76c4..2b27d5f 100644 --- a/semester4/ps/ps-jh/parts/01_random-variables/00_definition.tex +++ b/semester4/ps/ps-jh/parts/01_random-variables/00_definition.tex @@ -1 +1,8 @@ \subsection{Abstrakte Definition} +\shortdefinition[Zufallsvariable] kurz Z.V, ist $\cX : \Omega \rightarrow \R$, sodass $\forall a \in \R$ gilt: +$f = \{ \omega \in \Omega \divider \cX(\omega) \leq a \} \in \cF$ (notwendinge Bedingung für Wohldefiniertheit von $\P[f]$) + +\inlinenotation Ohne $\omega$: $\{ X \leq a \} = \{ \omega \in \Omega \divider X(\omega) \leq a \}$, etc + +\subsection{Verteilungsfunktion} +\shortdefinition $F_\cX : \R \rightarrow [0, 1]$, def: $\forall a 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