diff --git a/semester6/iml/main.pdf b/semester6/iml/main.pdf new file mode 100644 index 0000000..08082e2 Binary files /dev/null and b/semester6/iml/main.pdf differ diff --git a/semester6/iml/main.tex b/semester6/iml/main.tex new file mode 100644 index 0000000..a87848c --- /dev/null +++ b/semester6/iml/main.tex @@ -0,0 +1,15 @@ +\documentclass[a4paper,10pt]{article} +\usepackage[landscape, left=0.75cm, top=1cm, right=0.75cm, bottom=1.5cm, footskip=15pt]{geometry} +\input{util/setup.tex} +\input{util/helpers.tex} + +\title{Probability \& Statistics} +\author{Robin Bacher} +\date{HS 2026} + +\begin{document} + +\section{Intro} +\input{parts/00_intro.tex} + +\end{document} diff --git a/semester6/iml/parts/00_intro.tex b/semester6/iml/parts/00_intro.tex new file mode 100644 index 0000000..8715867 --- /dev/null +++ b/semester6/iml/parts/00_intro.tex @@ -0,0 +1 @@ +\textbf{placeholder} \ No newline at end of file diff --git a/semester6/iml/util/helpers.tex b/semester6/iml/util/helpers.tex new file mode 100644 index 0000000..60dac48 --- /dev/null +++ b/semester6/iml/util/helpers.tex @@ -0,0 +1,84 @@ +% TC boxes +\tcbset { + base/.style={ + boxrule=0mm, + left=1.75mm, + arc=2mm, + colbacktitle=black!10!white, + coltitle=black, + fonttitle=\bfseries, + toptitle=0.75mm, + bottomtitle=0.25mm, + title={#1} + } +} +\newtcolorbox{subbox}[1]{ + colframe=black!20!white, + base={#1} +} + +% Math helpers, General +\def\limxo{\lim_{x\to 0}} +\def\limxi{\lim_{x\to\infty}} +\def\limxn{\lim_{x\to-\infty}} +\def\sumk{\sum_{k=1}^\infty} +\def\sumn{\sum_{n=0}^\infty} +\def\dx{\text{ d}x} + +\def\R{\mathbb{R}} +\def\Q{\mathbb{Q}} +\def\N{\mathbb{N}} +\def\C{\mathbb{C}} +\def\Z{\mathbb{Z}} + +\def\S{\mathcal{S}} + +\def\Def{\overset{\text{def.}}{\iff}} + +\def \cgeq{\succcurlyeq} +\def \cleq{\preccurlyeq} + +% Math helpers, Analysis +\def \limn{\lim\limits_{n \to \infty}} +\def \limi{\liminf\limits_{n \to \infty}} +\def \lims{\limsup\limits_{n \to \infty}} + +\def \ord{\text{ord}} +\def \tr{\text{Tr}} +\def \sep{\ |\ } + +\def \iffdef{\overset{\text{def}}{\iff}} + +\def \dfd#1{\frac{\partial f}{\partial x_#1}} +\def \sdfd#1{\partial_{x_#1}f} +\def \ssdfd#1{\partial_#1f} +\def \dd#1#2{\frac{\partial_#1}{\partial x_#2}} % to replace f + +% Math helpers, Probability +\def \comp{\text{C}} + +\def \P{\mathbb{P}} +\def \F{\mathcal{F}} + +% Titles +\def \definition{\colorbox{lightgray}{Def} } +\def \notation{\colorbox{lightgray}{Notation} } +\def \remark{\colorbox{lightgray}{Remark} } +\def \theorem{\colorbox{lightgray}{Th.} } +\def \lemma{\colorbox{lightgray}{Lem.} } +\def \method{\colorbox{lightgray}{Method} } + + +% For intuiton and less important notes +\def \subtext#1{ + \color{gray}\footnotesize + #1 + \color{black}\normalsize +} + +% inside tc boxes +\def \smalltext#1{ + \footnotesize + #1 + \normalsize +} diff --git a/semester6/iml/util/setup.tex b/semester6/iml/util/setup.tex new file mode 100644 index 0000000..290f538 --- /dev/null +++ b/semester6/iml/util/setup.tex @@ -0,0 +1,41 @@ +\usepackage{flowfram} +\ffvadjustfalse +\setlength{\columnsep}{1cm} +\Ncolumn{3} + +% TCB boxes for important stuff +\usepackage[many]{tcolorbox} + +% Mathematical typesetting & symbols +\usepackage{amsthm, mathtools, amssymb} +\usepackage{marvosym, wasysym} +\allowdisplaybreaks + +% Tables +\usepackage{tabularx, multirow} +\usepackage{booktabs} +\renewcommand*{\arraystretch}{2} + +% Make enumerations more compact +\usepackage{enumitem} +\setitemize{itemsep=0.5pt} +\setenumerate{itemsep=0.75pt} + +% To include sketches & PDFs +\usepackage{graphicx} + +% For hyperlinks +\usepackage{hyperref} +\hypersetup{ colorlinks=true } + +% Fomatting +\usepackage{multicol} +\usepackage{parskip} % Disables new paragraph indent + +% Custom resets +\renewcommand{\arraystretch}{1.3} % Decrease row height +\renewcommand{\familydefault}{\sfdefault} + +% Flexible graphs / visualisations inside latex +\usepackage{tikz} +\usetikzlibrary{positioning, arrows.meta, calc, matrix} \ No newline at end of file