Funes el memorioso

# main document
#SRC=doc
SRC=temp
# latex compilier
LATEX=pdflatex
# bibliography generator
BIBTEX=bibtex
# pdf viewer
PDFVIEW=evince

COLOR="\\033[32m"
NORMAL_COLOR="\\033[0m"

OPT="-e"

UNAME := $(shell uname)

ifeq ($(UNAME), Darwin)
PDFVIEW=open
LATEX=xelatex
OPT=""
endif

pdf:$(SRC).pdf
@echo $(OPT) "$(COLOR)===> Viewing PDF… $(NORMAL_COLOR)"
$(PDFVIEW) $(SRC).pdf &

$(SRC).pdf:$(SRC).tex $(SRC).bbl
@echo $(OPT) "$(COLOR)===> Running LaTeX… $(NORMAL_COLOR)"
$(LATEX) $(SRC)
@echo $(OPT) "$(COLOR)===> Running LaTeX once more… $(NORMAL_COLOR)"
$(LATEX) $(SRC)

$(SRC).bbl:$(SRC).aux $(SRC).tex
@echo $(OPT) "$(COLOR)===> Running BibTeX… $(NORMAL_COLOR)"
$(BIBTEX) $(SRC)

$(SRC).aux:$(SRC).tex
@echo $(OPT) "$(COLOR)===> Running LaTeX for BibTeX… $(NORMAL_COLOR)"
$(LATEX) $(SRC)

clean:
@echo $(OPT) "$(COLOR)===> Tidy up!… $(NORMAL_COLOR)"
rm -f *~
find . -maxdepth 1 -type f -name "$(SRC).*" ! -name "$(SRC).tex" -exec rm -f {} \;
# remove AucTeX-related files.
rm -rf _region_* $(DOC).prv prv_$(DOC).log

pdfnup doc.pdf --frame true --scale 0.9 --nup 1x2 --delta "0.2cm 0.3cm" 

\documentclass{minimal}
\usepackage[papersize={2.8in, 1.5in}, text={2.8in, 1.5in}]{geometry}
\usepackage{amsmath}
\usepackage{fourier}

\begin{document}
\begin{alignat*}{3}
  \text{maximize}\qquad  & \sum_{(u,v)\in E} x_{(u,v)} &  \\
  \text{subject to}\qquad & \sum_{v\in V} x_{(u,v)} \leq 1
  & \quad\text{for all $u\in U$}; \\
  & \sum_{u\in U} x_{(u,v)}\leq 1
  & \quad\text{for all $v\in V$}; \\
  & x_{(u,v)} \geq 0
  & \quad\text{for all $(u,v)\in E.$}
\end{alignat*}
\end{document}

\documentclass{article}
\usepackage[papersize={45mm, 45mm}, text={40mm, 40mm}]{geometry}
\usepackage{tikz}
\usetikzlibrary{arrows}

\usepackage{chessboard} % chessboard drawing

\begin{document}

\begin{figure}[h]
  \centering
  \chessboard[tinyboard,vlabelformat=\arabic{filelabel},
  setwhite={Rd5},showmover=false,
  color=red,
  padding=-0.2em,
  pgfstyle=circle,
  markfields={d1,d2,d3,d4,d6,d7,d8,a5,b5,c5,e5,f5,g5,h5}]
\end{figure}
  
\end{document}

\documentclass{article}
\usepackage[papersize={45mm, 45mm}, text={40mm, 40mm}]{geometry}
\usepackage{tikz}
\usetikzlibrary{arrows}

\usepackage{chessboard} % chessboard drawing

\begin{document}

\begin{figure}[h]
  \centering
  \chessboard[tinyboard,vlabelformat=\arabic{filelabel},
  setwhite={Bd5},showmover=false,
  color=red,
  padding=-0.2em,
  pgfstyle=circle,
  markfields={e4,f3,g2,h1,e6,f7,g8,c4,b3,a2,c6,b7,a8}]
\end{figure}
  
\end{document}

\documentclass{article}
\usepackage[papersize={45mm, 30mm}, text={40mm, 35mm}]{geometry}
\usepackage{tikz}
\usetikzlibrary{arrows}

\begin{document}

\begin{figure}
  \centering
  \begin{tikzpicture}[node distance=1cm,>=stealth',elem/.style={circle,draw,fill=orange!40}]
    \node [elem] (b2) {2};
    \node [elem] (b4) [below of=b2, xshift=-10mm] {4} edge [->] (b2);
    \node [elem] (b3) [below of=b2, xshift=  8mm] {3} edge [->] (b2);
    \node [elem] (b1) [below of=b4, xshift= -8mm] {1} edge [->] (b4);
    \node [elem] (b0) [below of=b4, xshift=  8mm] {0} edge [->] (b4);
    \node [elem] (b5) [below of=b3, xshift=  4mm] {5} edge [->] (b3);
  \end{tikzpicture}
\end{figure}

\end{document}

\documentclass{report}

\usepackage{amsthm,amsmath,amssymb}
\newtheorem{theorem}{Theorem}[chapter]
\newtheorem{claim}[theorem]{Claim}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{proposition}[theorem]{Proposition}

\begin{document}
\tableofcontents
\chapter{first}
\begin{claim}
Mountain dew rocks.
\end{claim}
\section{1}

\section*{Proof}

\begin{lemma}[Dr. Strangelove's last line.]
Mein F\"uhrer, I can walk!
\end{lemma}

\begin{appendix}
  \chapter{First Appendix}
  \begin{theorem}
    Halo!
  \end{theorem}
  \begin{lemma}
    world!
  \end{lemma}
\end{appendix}
\end{document}

beamer_guide (pdf)

pdf

\documentclass[12pt]{beamer}

\usepackage{color}

\usepackage{fontspec}
\defaultfontfeatures{Scale=MatchLowercase, Mapping=tex-text} 
\setmainfont{Cambria}
\setsansfont[Scale=0.95]{Candara}
\setmonofont{Consolas}

\title{Overlay Examples}
\subtitle{Overlay}
\author{Kilgore Trout}
\institute[Tralfamadore] {Tralfamadore Institute of Technology}
\usetheme{Madrid}

\begin{document}
\begin{frame}[fragile]
  \frametitle{Overlay Examples}
  \begin{itemize}
  \item Successive \color{red}\verb|\only<n>{..}|\\
    \color{gray}\verb|\only<1>{Abra}\only<2>{Cada}\only<3>{Bra}|
    \color{black}$\Rightarrow$
    \only<1>{Abra}\only<2>{Cada}\only<3>{Bra}
    \onslide<4->
  \item \color{red}\verb|\uncover<n>{..}| \color{black}shows at given n. \\
    \color{gray}\verb|\uncover<5>{I am 5}|
    \color{black}$\Rightarrow$ \uncover<5>{I am 5}
    \onslide<6->
  \item \color{red}\verb|\invisible<n>{..}| \color{black}hides at given n.\\
    \color{gray}\verb|\invisible<8>{Invisible at 8}|
    \color{black}$\Rightarrow$ \invisible<8>{Invisible at 8}
    \onslide<10->
  \item \color{red}\verb|\alt<n>{at n}{not at n}|
    \color{black}for two alternatives. \\
    \color{gray}\verb|\alt<11>{I am 11}{I am not 11}|
    \color{black}$\Rightarrow$ \alt<11>{I am 11}{I am not 11}
    \onslide<13->
  \item\color{red}\verb|\temporal<n>{before}{at n}{after}|
    \color{black}for three alternatives. \\
    \color{gray}\verb|\temporal<14>{I am 13}{I am 14}{I am 15}|
    \color{black}$\Rightarrow$ \temporal<14>{I am 13}{I am 14}{I am 15}
  \end{itemize}
  \onslide<15->
  \onslide<1->
  \begin{center}
    \Large Slide \texttt{\thepage}
  \end{center}
\end{frame}
\end{document}

\documentclass{article}

\usepackage[papersize={85mm, 25mm}, text={75mm, 20mm}]{geometry}

\usepackage{pgf, tikz}
\usetikzlibrary{arrows,automata}

\begin{document}
\begin{figure}[h]
  \footnotesize
  \centering
  \begin{tikzpicture}[
    % type of arrow head
    >=stealth',
    % keep arrow head from touching the surface
    shorten >= 1pt,
    % automatic node positioning
    auto,
    % 
    node distance=1.5cm,
    % line thickness
    semithick,
    % text for the initial state arrow. I left it as blank
    initial text=]
    \tikzstyle{every state}=[draw=blue!50, thick, fill=blue!20,
    minimum size=4mm]
    
    \node[state] (v1) {$v_1$};
    \node[state] (v2) [right of=v1] {$v_2$};
    \node[state] (v3) [right of=v2] {$v_3$};
    \node[state] (v4) [right of=v3] {$v_4$};
    \node[state] (v5) [right of=v4] {$v_5$};
    
    \path[->] (v1) edge (v2);
    \path[->] (v3) edge (v4);
    \path[->] (v4) edge (v5);

    \path[->, bend right, bend angle = 5] (v2) edge (v5);
    \path[->, bend left, bend angle = 25] (v1) edge (v3);
  \end{tikzpicture}
\end{figure}
\end{document}

\documentclass{article}

% For fancy drawing
\usepackage{tikz, subfigure}

\usepackage[papersize={140mm, 100mm}, text={130mm, 90mm}]{geometry}

% order: \order[st]{1}, \order{k}
\newcommand{\order}[2][th]{\ensuremath{{#2}^{\mathrm{#1}}}}

\begin{document}
\pagestyle{empty}
\begin {figure}[h]
  \centering
  \subfigure[staying inside the folding]{
    \begin{tikzpicture}
      [
      line/.style = {draw, thick},
      arrow/.style = {draw, semithick, -latex},
      dot/.style = {draw, fill=black},
      ]
      
      \coordinate (O) at (3cm, 0cm);
      \coordinate (J) at (1cm, 0cm);
      \coordinate (L) at (2cm, 0cm);
      \coordinate (K) at (4cm, 0cm);
      
      \coordinate (A) at (0cm, 0cm);
      \coordinate (B) at (5cm, 0cm);
      \node at (A) {};
      \node at (B) {};

      \path [arrow] ([yshift=2mm]L) -- node [above] {$\ell_{i+1}$} ([yshift=2mm]O);
      \path [line] (J) -- (K);
      
      \fill [dot] (J) circle (.3mm);
      \fill [dot] (L) circle (.3mm);
      \fill [dot] (K) circle (.3mm);
      
      \node [below] at (L) {$k'$};
      \node [below] at (K) {$j$};
      \node [below] at (J) {$0$};
      \node [below] at (O) {$k$};
   \end{tikzpicture}
  }
  \qquad\qquad
  \subfigure[stretching beyond the folding]{
    \begin{tikzpicture}
      [
      line/.style = {draw, thick},
      arrow/.style = {draw, semithick, -latex},
      dot/.style = {draw, fill=black},
      ]
      
      \coordinate (O) at (3cm, 0cm);
      \coordinate (J) at (0cm, 0cm);
      \coordinate (L) at (1cm, 0cm);
      \coordinate (K) at (2cm, 0cm);
      
      \coordinate (A) at (-1cm, 0cm);
      \coordinate (B) at (4cm, 0cm);
      \node at (A) {};
      \node at (B) {};

      \path [arrow] ([yshift=2mm]L) -- node [above] {$\ell_{i+1}$} ([yshift=2mm]O);
      \path [line] (J) -- (K);
      
      \fill [dot] (J) circle (.3mm);
      \fill [dot] (L) circle (.3mm);
      \fill [dot] (K) circle (.3mm);
      
      \node [below] at (L) {$k'$};
      \node [below] at (K) {$j'$};
      \node [below] at (O) {$j$};      
      \node [below] at (J) {0};
    \end{tikzpicture}
  }
 \caption{The $\order{(i+1)}$ segment folded to the right}
\end{figure}

\begin {figure}[h]
  \centering
  \subfigure[staying inside the folding]{
    \begin{tikzpicture}
      [
      line/.style = {draw, thick},
      arrow/.style = {draw, semithick, -latex},
      dot/.style = {draw, fill=gray!50},
      ]
      
      \coordinate (O) at (2cm, 0cm);
      \coordinate (J) at (1cm, 0cm);
      \coordinate (L) at (3cm, 0cm);
      \coordinate (K) at (4cm, 0cm);
      
      \coordinate (A) at (0cm, 0cm);
      \coordinate (B) at (5cm, 0cm);
      \node at (A) {};
      \node at (B) {};

      \path [arrow] ([yshift=2mm]L) -- node [above] {$\ell_{i+1}$} ([yshift=2mm]O);
      \path [line] (J) -- (K);
      
      \fill [dot] (J) circle (.3mm);
      \fill [dot] (L) circle (.3mm);
      \fill [dot] (K) circle (.3mm);
      
      \node [below] at (L) {$k'$};
      \node [below] at (K) {$j$};
      \node [below] at (J) {$0$};
      \node [below] at (O) {$k$};
    \end{tikzpicture}
  }
  \qquad\qquad
  \subfigure[stretching beyond the folding]{
    \begin{tikzpicture}
      [
      border/.style = {draw=gray!90, thick},
      line/.style = {draw, thick},
      arrow/.style = {draw, semithick, -latex},
      dot/.style = {draw, fill=gray!50},
      ]
      
      \coordinate (O) at (0cm, 0cm);
      \coordinate (J) at (1cm, 0cm);
      \coordinate (L) at (2cm, 0cm);
      \coordinate (K) at (3cm, 0cm);
      
      \path [arrow] ([yshift=2mm]L) -- node [above] {$\ell_{i+1}$} ([yshift=2mm]O);
      \path [line] (J) -- (K);
      
      \fill [dot] (J) circle (.3mm);
      \fill [dot] (L) circle (.3mm);
      \fill [dot] (K) circle (.3mm);
      
      \node [below] at (J) {$0$};
      \node [below] at (L) {$k'$};
      \node [below] at (K) {$j'$};
      \node [below] at (O) {$k'-\ell_{i+1}$};
      
      \path [border] (O) -- ([yshift=3mm]O);
    \end{tikzpicture}
  }
  \caption{The $\order{(i+1)}$ segment folded to the left}
\end{figure}
\end{document}