\documentclass[10pt,a4paper]{article} % Packages \usepackage{fancyhdr} % For header and footer \usepackage{multicol} % Allows multicols in tables \usepackage{tabularx} % Intelligent column widths \usepackage{tabulary} % Used in header and footer \usepackage{hhline} % Border under tables \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \usepackage{colortbl} % For coloured tables \usepackage{setspace} % For line height \usepackage{lastpage} % Needed for total page number \usepackage{seqsplit} % Splits long words. %\usepackage{opensans} % Can't make this work so far. Shame. Would be lovely. \usepackage[normalem]{ulem} % For underlining links % Most of the following are not required for the majority % of cheat sheets but are needed for some symbol support. \usepackage{amsmath} % Symbols \usepackage{MnSymbol} % Symbols \usepackage{wasysym} % Symbols %\usepackage[english,german,french,spanish,italian]{babel} % Languages % Document Info \author{s.sutherland697} \pdfinfo{ /Title (math1901-final-cs.pdf) /Creator (Cheatography) /Author (s.sutherland697) /Subject (MATH1901\_Final\_CS Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \onehalfspacing % Commands \newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour \newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{A3A3A3} \definecolor{LightBackground}{HTML}{F3F3F3} \renewcommand{\familydefault}{\sfdefault} \color{TextColor} % Header and Footer \pagestyle{fancy} \fancyhead{} % Set header to blank \fancyfoot{} % Set footer to blank \fancyhead[L]{ \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{C} \SetRowColor{DarkBackground} \vspace{-7pt} {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}} } \end{tabulary} \columnbreak \begin{tabulary}{11cm}{L} \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{MATH1901\_Final\_CS Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{s.sutherland697} via \textcolor{DarkBackground}{\uline{cheatography.com/50365/cs/13907/}}} \end{tabulary} \end{multicols}} \fancyfoot[L]{ \footnotesize \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{LL} \SetRowColor{FootBackground} \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}} \\ \vspace{-2pt}s.sutherland697 \\ \uline{cheatography.com/s-sutherland697} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Not Yet Published.\\ Updated 11th December, 2017.\\ Page {\thepage} of \pageref{LastPage}. \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}} \\ \SetRowColor{white} \vspace{-5pt} %\includegraphics[width=48px,height=48px]{dave.jpeg} Measure your website readability!\\ www.readability-score.com \end{tabulary} \end{multicols}} \begin{document} \raggedright \raggedcolumns % Set font size to small. Switch to any value % from this page to resize cheat sheet text: % www.emerson.emory.edu/services/latex/latex_169.html \footnotesize % Small font. \begin{multicols*}{3} \begin{tabularx}{5.377cm}{x{1.4931 cm} x{3.4839 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Sets}} \tn % Row 0 \SetRowColor{LightBackground} ∈ & "Is an element of..." \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} ∪ & Union \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} ∩ & Intersection \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} ⊄ & "Is NOT a subset of... \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} ⊂ & "Is proper subset of..." (some or all) \tn % Row Count 6 (+ 2) % Row 5 \SetRowColor{white} ⊆ & "Is a subset of..." (some) \tn % Row Count 7 (+ 1) % Row 6 \SetRowColor{LightBackground} ∅ & Empty Set \tn % Row Count 8 (+ 1) % Row 7 \SetRowColor{white} A̅ & Complement \tn % Row Count 9 (+ 1) % Row 8 \SetRowColor{LightBackground} Set Builder Not. & \{formula for elements| restrictions\} \tn % Row Count 11 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{0.64701 cm} x{4.32999 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Logic}} \tn % Row 0 \SetRowColor{LightBackground} ∧ & Conjunction (AND) \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} ∨ & Disjunction (OR) \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \textasciitilde{} & Negation (NOT) \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} → & "If x, THEN y" \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} ↔ & True with same value \tn % Row Count 5 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.84149 cm} x{3.13551 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Probability/Statistics}} \tn % Row 0 \SetRowColor{LightBackground} Permutations & P(n,r) = n!/((n−r)!) \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Combinations & C(n,r) = n!/(n−r)!r! \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} Sample Space & Set of all possible outcomes \tn % Row Count 4 (+ 2) % Row 3 \SetRowColor{white} μ (Mean) & Sum of set divided by length of set \tn % Row Count 6 (+ 2) % Row 4 \SetRowColor{LightBackground} σ$^{\textrm{2}}$ (Variance) & Calculate the mean For each number, subtract the mean and square the result Calculate the average of the squared differences, or sum up the squared differences and divide by N, the number of values. \tn % Row Count 14 (+ 8) % Row 5 \SetRowColor{white} σ (Standard Deviation) & Square Root of Variance (σ$^{\textrm{2}}$) \tn % Row Count 16 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{1.34379 cm} x{3.63321 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Boolean Algebra}} \tn % Row 0 \SetRowColor{LightBackground} + & = ∨ \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} · & = ∧ \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} T & = 1 \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} F & = 0 \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} (A+B) & Parallel Circuit \tn % Row Count 5 (+ 1) % Row 5 \SetRowColor{white} (A·B) & Series Circuit \tn % Row Count 6 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.84149 cm} x{3.13551 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Probability/Statistics}} \tn % Row 0 \SetRowColor{LightBackground} b= Binomial Probability & b(x; n, P) = nCx {\emph{ Px }} (1 - P)\textasciicircum{}(n - x)\textasciicircum{} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{n= number of trials} \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{x= number of successes} \tn % Row Count 4 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{P= probability of success} \tn % Row Count 5 (+ 1) % Row 4 \SetRowColor{LightBackground} Binomial Distribution & μ = n·P \tn % Row Count 7 (+ 2) % Row 5 \SetRowColor{white} (cont'd) & σ$^{\textrm{2}}$ = n · P · (1-P) \tn % Row Count 8 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}