\documentclass{beamer}
\usepackage[style=authoryear,backend=biber]{biblatex}
\usepackage{hyperref}

\setbeamertemplate{bibliography item}{
  \ifboolexpr{ test {\ifentrytype{book}} or test {\ifentrytype{mvbook}}
    or test {\ifentrytype{collection}} or test {\ifentrytype{mvcollection}}
    or test {\ifentrytype{reference}} or test {\ifentrytype{mvreference}} }
    {\setbeamertemplate{bibliography item}[book]}
    {\ifentrytype{online}
       {\setbeamertemplate{bibliography item}[online]}
       {\setbeamertemplate{bibliography item}[article]}}%
  \usebeamertemplate{bibliography item}}

\defbibenvironment{bibliography}
  {\list{}
     {\settowidth{\labelwidth}{\usebeamertemplate{bibliography item}}%
      \setlength{\leftmargin}{\labelwidth}%
      \setlength{\labelsep}{\biblabelsep}%
      \addtolength{\leftmargin}{\labelsep}%
      \setlength{\itemsep}{\bibitemsep}%
      \setlength{\parsep}{\bibparsep}}}
  {\endlist}
  {\item}

\addbibresource{biblatex-examples.bib}

\nocite{glashow,markey,knuth:ct:a,knuth:ct:b,companion,bertram,ctan}
\begin{frame}[noframenumbering,plain,allowframebreaks]{References}
\printbibliography
\end{frame}

\newcommand\AtPagemyUpperLeft[1]{\AtPageLowerLeft{
\put(\LenToUnit{0.88\paperwidth},\LenToUnit{0.92\paperheight}){#1}}}
\AddToShipoutPictureFG{
	\AtPagemyUpperLeft{
	{
		\includegraphics[width=1.5cm,keepaspectratio]{fig/logo.jpg}
	}
	}
}%

\setbeamertemplate{frametitle}
{
    \begin{beamercolorbox}[rounded=true,sep=0.3cm,ht=1.7em,wd=\paperwidth]{frametitle}
        \insertframetitle
        \hfill
        \raisebox{-0.8mm}{\includegraphics[width=1cm]{fig/logo.png}}
    \end{beamercolorbox}
}

\AtBeginSection[]
{
\begin{frame}
\frametitle{Outline}
\tableofcontents[currentsection]
\end{frame}
}
\AtBeginSubsection[]
{
\begin{frame}
\frametitle{Outline}
\tableofcontents[currentsection,
		 currentsubsection,
		 hideothersubsections,
		 sectionstyle=show/shaded,
		 subsectionstyle=show/shaded,]
\end{frame}
}

\usepackage[most]{tcolorbox}
% Highlight Oval Box
\newtcbox{\xmybox}[1][red]{on line,
arc=7pt,colback=#1!10!white,colframe=#1!50!black,
before upper={\rule[-3pt]{0pt}{10pt}},boxrule=1pt,
boxsep=0pt,left=6pt,right=6pt,top=2pt,bottom=2pt}
%% Usage: \xmybox[green]{<some content>}
% Box for stating problems
\newtcolorbox{defbox}[1]{
    enhanced,
    attach boxed title to top   left={xshift=2mm,yshift=-3mm,yshifttext=-1mm},
    colback=blue!5!white,
    colframe=blue!75!black,
    coltitle=blue!80!black,
    left=1mm,right=1mm,top=2mm,bottom=0mm,
    title={#1},
    fonttitle=\bfseries,
    boxed title style={size=small,colback=blue!5!white,colframe=blue!75!black}
}%
%% Usage \begin{defbox}{<title>} <some content> \end{defbox}
% Box for announcement
\newtcolorbox{infobox}[1]{
    enhanced,
    attach boxed title to top   left={xshift=2mm,yshift=-3mm,yshifttext=-1mm},
    colback=green!5!white,
    colframe=green!75!black,
    coltitle=green!80!black,
    left=1mm,right=1mm,top=2mm,bottom=0mm,
    title={#1},
    fonttitle=\bfseries,
    boxed title style={size=small,colback=green!5!white,colframe=green!75!black}
}%
%% Usage \begin{infobox}{<title>} <some content> \end{infobox}
% Theorem Box
\newtcbtheorem[number within=section]{thrm}%
  {Theorem}{theorem style=plain,
    enhanced jigsaw,
    top=0mm,bottom=0mm,
     fonttitle=\bfseries\upshape,fontupper=\slshape,
     colframe=blue!75!black,colback=blue!5!white,coltitle=blue!50!blue!75!black}{thrm}%
%% Usage \begin{thrm}{<title>}{<label>} <some content> \end{thrm}
%% For citation, use ref{thrm:<label>}
%% If you don't want to use numbering: \begin{thrm*}{<title>}{<label>} <some content> \end{thrm*}

%% Boxes with tcolorbox
%%% Highlight Oval Box
\newtcbox{\xmybox}[1][red]{on line,
	arc=7pt,colback=#1!10!white,colframe=#1!50!black,
	before upper={\rule[-3pt]{0pt}{10pt}},boxrule=1pt,
	boxsep=0pt,left=6pt,right=6pt,top=2pt,bottom=2pt}
%%% Box for stating problems
%%%%%%%%
%Usage: (similar for infobox)
%	\begin{defbox}{title}
%		contents
%	\end{defbox}
%%%%%%%%
\newtcolorbox{defbox}[1]{%
	enhanced,
	attach boxed title to top 	left={xshift=2mm,yshift=-3mm,yshifttext=-1mm},
	colback=cyan!5!white,
	colframe=cyan!75!black,
	coltitle=cyan!80!black,
	left=0mm,right=0mm,top=2mm,bottom=0mm,
	title={#1},
	fonttitle=\bfseries,
	boxed title style={size=small,colback=cyan!5!white,colframe=cyan!75!black}
}%
%%% Box for announcement
\newtcolorbox{infobox}[1]{%
	enhanced,
	attach boxed title to top 	left={xshift=2mm,yshift=-3mm,yshifttext=-1mm},
	colback=yellow,
	colframe=red!75!black,
	coltitle=red!75!black,
	left=0mm,right=0mm,top=2mm,bottom=0mm,
	title={#1},
	fonttitle=\bfseries,
	boxed title style={size=small,colback=yellow,colframe=red!75!black}
}%
%%% Theorem Box
%%%%%%%%
%Usage: (similar for conjecture, lemma, etc.)
%	\begin{thm}{title}{nameref}
%		contents
%	\end{thm}
% Use \ref{thm:nameref} to refer to the theorem
%%%%%%%%
%%%% Use \newtcbtheorem[number within=section]{thm} to number within each section
\newtcbtheorem[]{thm}%
{Theorem}{attach boxed title to top 	left={xshift=2mm,yshift=-3mm,yshifttext=-1mm},
	enhanced jigsaw,
	top=2mm,bottom=0mm,left=0mm,right=0mm,
	fonttitle=\bfseries,fontupper=\itshape,
	colframe=green!75!black,colback=green!5!white,coltitle=green!50!green!75!black,
	boxed title style={size=small,colback=green!5!white,coltitle=green!50!green!75!black}}{thm}%
%%% Proposition Box
\newtcbtheorem[use counter from=thm]{prop}%
{Proposition}{attach boxed title to top 	left={xshift=2mm,yshift=-3mm,yshifttext=-1mm},
	enhanced jigsaw,
	top=2mm,bottom=0mm,left=0mm,right=0mm,
	fonttitle=\bfseries,fontupper=\itshape,
	colframe=gray!75!black,colback=gray!5!white,coltitle=gray!50!gray!75!black,
	boxed title style={size=small,colback=gray!5!white,coltitle=gray!50!gray!75!black}}{prop}%
%%% Conjecture Box
\newtcbtheorem[use counter from=thm]{conj}%
{Conjecture}{attach boxed title to top 	left={xshift=2mm,yshift=-3mm,yshifttext=-1mm},
	enhanced jigsaw,
	top=2mm,bottom=0mm,left=0mm,right=0mm,
	fonttitle=\bfseries,fontupper=\slshape,
	colframe=orange!75!black,colback=orange!5!white,coltitle=orange!50!orange!75!black,
	boxed title style={size=small,colback=orange!5!white,coltitle=orange!50!orange!75!black}}{conj}%
%%% Lemma Box
\newtcbtheorem[use counter from=thm]{lem}%
{Lemma}{attach boxed title to top 	left={xshift=2mm,yshift=-3mm,yshifttext=-1mm},
	enhanced jigsaw,
	top=2mm,bottom=0mm,left=0mm,right=0mm,
	fonttitle=\bfseries,fontupper=\itshape,
	colframe=blue!75!black,colback=blue!5!white,coltitle=blue!50!blue!75!black,
	boxed title style={size=small,colback=blue!5!white,coltitle=blue!50!blue!75!black}}{lem}%
%%% Claim Box
\newtcbtheorem[use counter from=thm]{clm}%
{Claim}{attach boxed title to top 	left={xshift=2mm,yshift=-3mm,yshifttext=-1mm},
	enhanced jigsaw,
	top=2mm,bottom=0mm,left=0mm,right=0mm,
	fonttitle=\bfseries,fontupper=\itshape,
	colframe=pink!75!black,colback=pink!5!white,coltitle=pink!50!pink!75!black,
	boxed title style={size=small,colback=pink!5!white,coltitle=pink!50!pink!75!black}}{clm}%

%% Reset counter on overlays
\resetcounteronoverlays{tcb@cnt@thm}

\documentclass[handout]{beamer}
\usepackage{pgfpages}
\pgfpagesuselayout{4 on 1}[a4paper,landscape=true]

\documentclass{beamer}
\mode<beamer>{
   % add what you need for presentation mode
}
\mode<handout>{
   %	\usepackage{pgfpages}
	%	\pgfpagesuselayout{4 on 1}[a4paper,landscape=true]
	\usepackage{pgfmorepages}
	\pgfmorepagesloadextralayouts
	\pgfpagesuselayout{1 on 1}[a4paper,landscape=true]
   % add more stuff you need for handout mode
}

\mode<beamer|second|trans|article>{
\setbeamercolor{background canvas}{bg=}
% insert stuffs used in the presentation slide only
}

\mode<handout>{
\setbeamercolor{background canvas}{bg=}
% insert stuffs used in the handout only
}

\author[shortname]{author1 \inst{1} \and author2 \inst{2}}
\institute[shortinst]{\inst{1} affiliation for author1 \and %
                      \inst{2} affiliation for author2}

{
\setbeamertemplate{footline}{}  % Remove footer in the title page
 
}
\addtocounter{framenumber}{-1} % Do not count the title page in frame numbering

\documentclass{beamer}
\defbeamertemplate*{title page}{customized}[1][]
{
  \usebeamerfont{title}\inserttitle\par
  \usebeamerfont{subtitle}\usebeamercolor[fg]{subtitle}\insertsubtitle\par
  
  \usebeamerfont{author}\insertauthor\par
  \usebeamerfont{institute}\insertinstitute\par
  \usebeamerfont{date}\insertdate\par
  \usebeamercolor[fg]{titlegraphic}\inserttitlegraphic
}
\title{A customized title page}
\subtitle{for demonstration}
\author{Stefan Kottwitz}
\date{\today}

% The first \vspace* moves the frametitle, and the second one moves the text coming after the frame title
\addtobeamertemplate{frametitle}{\vspace*{0cm}}{\vspace*{-0.5cm}}

\setlength\abovecaptionskip{-5pt}

\documentclass{beamer}
\setbeamertemplate{caption}{\insertcaption}

\begin{document}
\begin{frame}
    \begin{figure}
      \begin{columns}
        \column{.6\linewidth}
        \includegraphics[width=\textwidth]{example-image}
        \column{.3\linewidth}
        \caption{Example image}
        \label{fig:example right}
      \end{columns}
    \end{figure}
\end{frame}

\begin{frame}
    \begin{figure}
      \begin{columns}
        \column{.3\linewidth}
        \caption{Example image}
        \label{fig:example left}
        \column{.6\linewidth}
        \includegraphics[width=\textwidth]{example-image}
      \end{columns}
    \end{figure}
\end{frame}
\end{document}

\documentclass{beamer}

%\setbeameroption{hide notes} % Only slides
%\setbeameroption{show only notes} % Only notes
\setbeameroption{show notes on second screen=right} % Both

\title{Speaker notes within Beamer}
\author{}\date{}

\begin{document}

\begin{frame}
  \titlepage
  \note[item]{Welcome to the talk!}
  \note[item]{As you can see, this slidedeck is a work in progress.}
\end{frame}

\end{document}

\draw[
  help lines,
  line width=0.1pt,
  blue,
  shift={($(1, 1) - (0, 0)$)},
] (-11, -11) grid[step={($(5, 5) - (0, 0)$)}] (9, 9);

...
\begin{tikzpicture}[scale=0.5, every node/.style={transform shape}]
	% draw your picture here
\end{tikzpicture}
...

...
\usetikzlibrary{shapes}
...
A rectangle looks like \tikz [anchor=base, baseline, inner sep=0] \node[draw, rectangle, minimum height=2mm] {};
...

...
\tikzset{
	rec1/.pic={
		% draw your rec1 picture here
	}, 
	rec2/.pic={
		% draw your rec2 picture here
	}
	% and so on
}
...
% now we can reuse pictures 
\begin{tikzpicture}
	\pic[color=red]{rec1};
\end{tikzpicture}
...

% A simple Tree
% Author: Stefan Kottwitz
% https://www.packtpub.com/hardware-and-creative/latex-cookbook
\documentclass[border=10pt]{standalone}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[sibling distance=10em,
  every node/.style = {shape=rectangle, rounded corners,
    draw, align=center,
    top color=white, bottom color=blue!20}]]
  \node {Formulas}
    child { node {single-line} }
    child { node {multi-line}
      child { node {aligned at}
        child { node {relation sign} }
        child { node {several places} }
        child { node {center} } }
      child { node {first left,\\centered,\\last right} } };
\end{tikzpicture}
\end{document}

...
node[text width=1cm,align=center] {0,1,2\\3,4,5};
...

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{matrix}
\begin{document}
\begin{tikzpicture}
\matrix [matrix of nodes, ampersand replacement=\&, row sep=-\pgflinewidth,column 2/.style={nodes={rectangle,draw,minimum width=3em}}]
{
	0   \& 6 \\   1   \& 3 \\   
};
\end{tikzpicture}
\end{document}

\documentclass{beamer}
\usepackage{tikz}
\usetikzlibrary{positioning}

\setbeamertemplate{background}{\tikz[overlay, remember picture, help lines]{
    \foreach \x in {0,...,12} \path (current page.south west) +(\x,9.25) node {\small$\x$};
    \foreach \y in {0,...,9} \path (current page.south west) +(12.5,\y) node {\small$\y$};
    \foreach \x in {0,0.5,...,12.5} \draw (current page.south west) ++(\x,0) -- +(0,9.6);
    \foreach \y in {0,0.5,...,9.5} \draw (current page.south west) ++(0,\y) -- +(12.8,0);
  }
}

\begin{document}
\begin{frame}
\begin{tikzpicture}[remember picture, overlay]
    \draw[on grid,solid,red,line width= 1.5pt,-stealth] (current page.south west) -- +(2,2);
\end{tikzpicture}
\end{frame}
\end{document}

\usetikzlibrary{decorations.markings}

\begin{scope}[very thick,decoration={
    markings,
    mark=at position 0.5 with {\arrow{>}}}
    ] 
    \draw[postaction={decorate}] (-4,0)--(4,0);
    \draw[postaction={decorate}] (4,0)--(4,2);
    \draw[postaction={decorate}] (4,2)--(-4,2);
    \draw[postaction={decorate}] (-4,2)--(-4,0);
\end{scope}

documentclass{article}
\usepackage{tikz}
\usetikzlibrary{backgrounds}

\begin{document}
  \begin{tikzpicture}
    \node [fill=gray!30] (foo) at (0,0) { foo };
    \node [fill=gray!30] (bar) at (2,0) { bar };
    \node [fill=gray!30] (baz) at (4,0) { baz };

    \begin{scope}[on background layer]
        \draw (foo) -- (baz);
    \end{scope}
  \end{tikzpicture}
\end{document}

% Include PDF
\usepackage{pdfpages}

\includepdf[pages=-]{file.pdf}

\documentclass{article}
\usepackage{bookmark,pdfpages}
\begin{document}

\includepdf[link]{1.pdf}

\includepdf[link]{2.pdf}

\bookmark[dest={1.pdf.1}]{file 1.pdf title}
\bookmark[dest={2.pdf.1}]{file 2.pdf title}

\end{document}

\def\blankpage{%
      \clearpage%
      \thispagestyle{empty}%
      \addtocounter{page}{-1}%
      \null%
      \clearpage}

%\title{LaTeX Table spacing example}  
% Example by John Hammersley

\documentclass{article}
\usepackage[usenames,dvipsnames]{xcolor}
\begin{document}

\section*{Table with default spacings}

% A table with the default row and column spacings
\begin{tabular}{ c c c }
First Row & -6 & -5 \\
Second Row & 4 & 10\\
Third Row & 20 & 30\\
Fourth Row & 100 & -30\\
\end{tabular}

\section*{Table with adjusted spacings}

% A table with adjusted row and column spacings
% \setlength sets the horizontal (column) spacing
% \arraystretch sets the vertical (row) spacing
\begingroup
\setlength{\tabcolsep}{10pt} % Default value: 6pt
\renewcommand{\arraystretch}{1.5} % Default value: 1
\begin{tabular}{ c c c }
First Row & -6 & -5 \\
Second Row & 4 & 10\\
Third Row & 20 & 30\\
Fourth Row & 100 & -30\\
\end{tabular}
\endgroup
% The \begingroup ... \endgroup pair ensures the separation
% parameters only affect this particular table, and not any
% sebsequent ones in the document.

\end{document}

...
\renewcommand{\contentsname}{New TOC title} % default is "Contents"
....
\begin{document}
...
\tableofcontents
...
\end{document}

%% Adjust paper size and margins
\usepackage{geometry}
\geometry{
	a4paper,
	left=0.98in,
	right=0.98in,
	top=0.79in,
	bottom=0.79in
}

\usepackage{newtxtext,newtxmath}

\usepackage{caption} 
\captionsetup[figure]{skip=3pt} % figure
\captionsetup[table]{skip=3pt} % table

\newcommand{\fakesection}[1]{%
	\par\refstepcounter{section}% Increase section counter
	\sectionmark{#1}% Add section mark (header)
	\addcontentsline{toc}{section}{\protect\numberline{\thesection}#1}% Add section to ToC
	% Add more content here, if needed.
}

\usepackage[backend=biber]{biblatex}

\AtBeginBibliography{
	\renewcommand*{\mkbibnamegiven}[1]{%
		\ifitemannotation{highlight}
		{\textbf{#1}}
		{#1}%
	}
	
	\renewcommand*{\mkbibnamefamily}[1]{%
		\ifitemannotation{highlight}
		{\textbf{#1}}
		{#1}%
	}
}

\documentclass{article}
\begin{document}
\begin{tabular}{cccc}
  One & Two & Three & Four \\
  Een & Twee & Drie & Vier \\
  One & Two & 
    \begin{tabular}{@{}c@{}}Three \\ Drie\end{tabular}
  & Four
\end{tabular}
\end{document}

\usepackage{xcolor}
\usepackage[firstpage=true, color=blue, position={current page.north}, placement=top, scale=1, opacity=1, vshift=-10mm]{background}
\SetBgContents{
	\tt 
	\begin{tabular}{@{}c@{}}
		This is an e-print version of this article. \\
		Last Updated: \today.
	\end{tabular}
}      % copyright

\usepackage{tikz,xcolor,hyperref}

% Make Orcid icon
\definecolor{lime}{HTML}{A6CE39}
\DeclareRobustCommand{\orcidicon}{%
    \begin{tikzpicture}
    \draw[lime, fill=lime] (0,0) 
    circle [radius=0.16] 
    node[white] {{\fontfamily{qag}\selectfont \tiny ID}};
    \draw[white, fill=white] (-0.0625,0.095) 
    circle [radius=0.007];
    \end{tikzpicture}
    \hspace{-2mm}
}

% Make commands for any number of authors here.
\newcommand{\orcidJonDoe}{\href{https://orcid.org/0000-0000-0000-0000}{\orcidicon}}
\newcommand{\orcidJaneDoe}{\href{https://orcid.org/0000-0000-0000-0001}{\orcidicon}}

\usepackage[appendix=append]{apxproof} % 3 modes: append (proofs moved to appendix), inline (no appendix), and strip (cutting off proofs instead of moving to appendix)
\newtheoremrep{theorem}{Theorem}
\newtheoremrep{lemma}{Lemma}
\newtheoremrep{proposition}{Proposition}