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% Packages
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\usepackage{multicol}           % Allows multicols in tables
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\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{Mario (mariofreitas)}
\pdfinfo{
  /Title (python-basics-math.pdf)
  /Creator (Cheatography)
  /Author (Mario (mariofreitas))
  /Subject (Python Basics - Math Cheat Sheet)
}

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% This two commands together give roughly
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% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
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% Header and Footer
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\fancyhead{} % Set header to blank
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\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{Python Basics - Math Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{Mario (mariofreitas)} via \textcolor{DarkBackground}{\uline{cheatography.com/42813/cs/13208/}}}
\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}Mario (mariofreitas) \\
  \uline{cheatography.com/mariofreitas} \\
        \uline{\seqsplit{github}.com/MarioRaul/}
  \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 22nd October, 2017.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
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  \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*}{2}

\begin{tabularx}{8.4cm}{x{1.36 cm} x{6.64 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Math Operations}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{`a = 3`} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{2}{x{8.4cm}}{`b = 4`} \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
`a + b` & Sum {\emph{a}} and {\emph{b}} (7) \tn 
% Row Count 4 (+ 2)
% Row 3
\SetRowColor{white}
`a - b` & Subtract {\emph{b}} from {\emph{a}} (-1) \tn 
% Row Count 6 (+ 2)
% Row 4
\SetRowColor{LightBackground}
`a * b` & {\emph{a}} times {\emph{b}} (12) \tn 
% Row Count 8 (+ 2)
% Row 5
\SetRowColor{white}
`a / b` & {\emph{a}} divided by {\emph{b}} (0.75) \tn 
% Row Count 10 (+ 2)
% Row 6
\SetRowColor{LightBackground}
`a // b` & Integer part  of {\emph{a}} divided by {\emph{b}} (0) \tn 
% Row Count 12 (+ 2)
% Row 7
\SetRowColor{white}
`a \% b` & Rest of {\emph{a}} divided by {\emph{b}} (3) \tn 
% Row Count 14 (+ 2)
% Row 8
\SetRowColor{LightBackground}
`a ** b` & {\emph{a}} to the power of {\emph{b}} (81) \tn 
% Row Count 16 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{1.6 cm} x{6.4 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Logic Tests}}  \tn
% Row 0
\SetRowColor{LightBackground}
`5 \textgreater{} 3` & Tests if 5 is greater than 3 (True) \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
`5 \textgreater{}= 3` & Tests if 5 is greater than or equal to 3 (True) \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
`5 == 3` & Tests if 5 is equal to 3 (False) \tn 
% Row Count 5 (+ 1)
% Row 3
\SetRowColor{white}
`5 != 3` & Tests if 5 is different than 3 (True) \tn 
% Row Count 7 (+ 2)
% Row 4
\SetRowColor{LightBackground}
`5 \textless{}= 3` & Tests if 5 is lower than or equal to 3 (False) \tn 
% Row Count 9 (+ 2)
% Row 5
\SetRowColor{white}
`5 \textless{} 3` & Tests if 5 is lower than 3 (False) \tn 
% Row Count 11 (+ 2)
% Row 6
\SetRowColor{LightBackground}
`not True` & Opposite of True (False) \tn 
% Row Count 13 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{3.52 cm} x{4.48 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Math Module}}  \tn
% Row 0
\SetRowColor{LightBackground}
`import math` & Imports module {\emph{math}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
`math.ceil(x)` & Rounds {\emph{x}} up \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
`math.floor(x)` & Rounds {\emph{x}} down \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
`round(x)\textasciicircum{}1\textasciicircum{}` & Rounds {\emph{x}} with 0 decimal places \tn 
% Row Count 5 (+ 2)
% Row 4
\SetRowColor{LightBackground}
`round(x, 2)` & Rounds {\emph{x}} with 2 decimal places \tn 
% Row Count 7 (+ 2)
% Row 5
\SetRowColor{white}
`math.sqrt(x)` & Square root of {\emph{x}} \tn 
% Row Count 8 (+ 1)
% Row 6
\SetRowColor{LightBackground}
\seqsplit{`math.sin(angle)`} & Sine of {\emph{angle}} \tn 
% Row Count 9 (+ 1)
% Row 7
\SetRowColor{white}
\seqsplit{`math.cos(angle)`} & Cosine of {\emph{angle}} \tn 
% Row Count 10 (+ 1)
% Row 8
\SetRowColor{LightBackground}
\seqsplit{`math.tan(angle)`} & Tangent of {\emph{angle}} \tn 
% Row Count 11 (+ 1)
% Row 9
\SetRowColor{white}
`math.sinh(x)` & Hiperbolic sine of {\emph{x}} \tn 
% Row Count 12 (+ 1)
% Row 10
\SetRowColor{LightBackground}
`math.cosh(x)` & Hiperbolic cosine of {\emph{x}} \tn 
% Row Count 14 (+ 2)
% Row 11
\SetRowColor{white}
`math.tanh(x)` & Hiperbolic tangent of {\emph{x}} \tn 
% Row Count 16 (+ 2)
% Row 12
\SetRowColor{LightBackground}
\seqsplit{`math.asin(angle)`} & Arc sine of {\emph{angle}} \tn 
% Row Count 18 (+ 2)
% Row 13
\SetRowColor{white}
\seqsplit{`math.acos(angle)`} & Arc cosine of {\emph{angle}} \tn 
% Row Count 20 (+ 2)
% Row 14
\SetRowColor{LightBackground}
\seqsplit{`math.atan(angle)`} & Arc tangent of {\emph{angle}} \tn 
% Row Count 22 (+ 2)
% Row 15
\SetRowColor{white}
`math.asinh(x)` & Inverse hiperbolic sine of {\emph{x}} \tn 
% Row Count 24 (+ 2)
% Row 16
\SetRowColor{LightBackground}
`math.acosh(x)` & Inverse hiperbolic cosine of {\emph{x}} \tn 
% Row Count 26 (+ 2)
% Row 17
\SetRowColor{white}
`math.atanh(x)` & Inverse hiperbolic tangent of {\emph{x}} \tn 
% Row Count 28 (+ 2)
% Row 18
\SetRowColor{LightBackground}
`math.degrees(angle)`\{\{nobreak\}\} & Covert {\emph{rad\_angle}} from radians to degrees \tn 
% Row Count 30 (+ 2)
\end{tabularx}
\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{8.4cm}{x{3.52 cm} x{4.48 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Math Module (cont)}}  \tn
% Row 19
\SetRowColor{LightBackground}
\seqsplit{`math.radians(angle)`} & Covert {\emph{rad\_angle}} from degrees to radians \tn 
% Row Count 2 (+ 2)
% Row 20
\SetRowColor{white}
\seqsplit{`math.factorial(x)`} & Factorial of {\emph{x}} \tn 
% Row Count 4 (+ 2)
% Row 21
\SetRowColor{LightBackground}
`math.gamma(x)` & Gamma function of {\emph{x}} \tn 
% Row Count 5 (+ 1)
% Row 22
\SetRowColor{white}
`math.exp(x)` & {\emph{e}} to the power of {\emph{x}} \tn 
% Row Count 7 (+ 2)
% Row 23
\SetRowColor{LightBackground}
`math.log(x)` & Natural logarithm of {\emph{x}} \tn 
% Row Count 9 (+ 2)
% Row 24
\SetRowColor{white}
`math.log(x, 2)` & Base 2 logarithm of {\emph{x}} \tn 
% Row Count 11 (+ 2)
% Row 25
\SetRowColor{LightBackground}
`math.e` & Constant {\emph{e}} \tn 
% Row Count 12 (+ 1)
% Row 26
\SetRowColor{white}
`math.pi` & Constant {\emph{pi}} \tn 
% Row Count 13 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{\textasciicircum{}1\textasciicircum{} round is not part of the {\emph{math}} module \newline \textasciicircum{}2\textasciicircum{} the python standard is to work with angles in radians}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Second Degree Equation Roots}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{\# This script solves ax\textasciicircum{}2 + bx + c = 0 \newline import math \newline  \newline a = 1 \newline b = -1 \newline c = -6 \newline  \newline delta = b{\emph{*2 - 4}}a{\emph{c \newline r1 = (-b + math.sqrt(delta))/(2}}a) \newline r2 = (-b - math.sqrt(delta))/(2*a) \newline  \newline print(f"r1 = \{r1\}") \newline print(f"r2 = \{r2\}")} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{r1 = 3.0 \newline r2 = -2.0}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}