diff --git a/slides/sections/1.md b/slides/sections/1.md index b6bb369..2d85cc5 100644 --- a/slides/sections/1.md +++ b/slides/sections/1.md @@ -1,10 +1,68 @@ +--- +title: Randomness tests of a non-uniform distribution +date: \today +author: + - Giulia Marcer + - Michele Guerini Rocco +institute: + - Università di Milano-Bicocca + +theme: metropolis +themeoptions: + - titleformat=allcaps +aspectratio: 169 + +fontsize: 12pt +mainfont: Fira Sans +mainfontoptions: + - BoldFont=Fira Sans + +mathfont: FiraMath-Regular + +header-includes: | + ```{=latex} + %% Colors + \definecolor{mDarkTeal} {HTML}{020202} + \definecolor{mLightBrown}{HTML}{C49D4A} + \definecolor{mDarkRed} {HTML}{92182B} + + \definecolor{green} {HTML}{60AC39} + \definecolor{red} {HTML}{D73737} + \definecolor{blue} {HTML}{6684E1} + \definecolor{yellow}{HTML}{CFB017} + + \setbeamercolor{frametitle}{bg=mDarkRed} + + % center images + \LetLtxMacro{\oldIncludegraphics}{\includegraphics} + \renewcommand{\includegraphics}[2][]{ + \centering + \oldIncludegraphics[#1]{#2} + } + + %% customer macros + \DeclareMathOperator{\with}{% + \hspace{30pt} \text{with} \hspace{30pt} + } + + % "thus" in formulas + \DeclareMathOperator{\thus}{% + \hspace{30pt} \Longrightarrow \hspace{30pt} + } + + % "et" in formulas + \DeclareMathOperator{\et}{% + \hspace{30pt} \wedge \hspace{30pt} + } + ``` +... # Goal ## Goal - + What? - Generate a sample of points from a Moyal PDF @@ -44,7 +102,6 @@ the approximation of the Landau Distribution. L(x) = \frac{1}{\pi} \int \limits_{0}^{+ \infty} dt \, e^{-t \ln(t) -xt} \sin (\pi t) $$ - \end{center} ::: ::: {.column width=50%} \begin{center} @@ -53,7 +110,6 @@ the approximation of the Landau Distribution. M(x) = \frac{1}{\sqrt{2 \pi}} \exp \left[ - \frac{1}{2} \left( x + e^{- x} \right) \right] $$ - \end{center} ::: ::::