From 5cdb3631030b37f0a3b66e2d88925f6e60dfe624 Mon Sep 17 00:00:00 2001 From: Martin Thoma Date: Tue, 26 Nov 2013 23:02:06 +0100 Subject: [PATCH] misc --- documents/math-fonts/Makefile | 7 +++ documents/math-fonts/math-fonts.tex | 55 ++++++++++++++++++ .../topology-continuous-mapping.png | Bin 11427 -> 12202 bytes .../topology-continuous-mapping.tex | 7 ++- .../topology-kartenwechsel.png | Bin 37006 -> 32624 bytes .../topology-kartenwechsel.tex | 4 ++ 6 files changed, 71 insertions(+), 2 deletions(-) create mode 100644 documents/math-fonts/Makefile create mode 100644 documents/math-fonts/math-fonts.tex diff --git a/documents/math-fonts/Makefile b/documents/math-fonts/Makefile new file mode 100644 index 0000000..63f0ba9 --- /dev/null +++ b/documents/math-fonts/Makefile @@ -0,0 +1,7 @@ +SOURCE = math-fonts +make: + pdflatex $(SOURCE).tex -output-format=pdf + make clean + +clean: + rm -rf $(TARGET) *.class *.html *.log *.aux *.out diff --git a/documents/math-fonts/math-fonts.tex b/documents/math-fonts/math-fonts.tex new file mode 100644 index 0000000..78b04fa --- /dev/null +++ b/documents/math-fonts/math-fonts.tex @@ -0,0 +1,55 @@ +\documentclass{scrartcl} +\usepackage{amssymb, amsmath} % needed for math +\usepackage[utf8]{inputenc} % this is needed for umlauts +\usepackage[ngerman]{babel} % this is needed for umlauts +\usepackage[T1]{fontenc} % this is needed for correct output of umlauts in pdf +\usepackage[margin=2.5cm]{geometry} %layout +\usepackage{hyperref} % links im text +\usepackage{parskip} +\usepackage{multicol} + +\title{Minimal distance to a cubic function} +\author{Martin Thoma} + +\hypersetup{ + pdfauthor = {Martin Thoma}, + pdfkeywords = {}, + pdftitle = {} +} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Begin document % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{document} +\section{mathcal} +\begin{multicols}{3} +\begin{itemize} + \item $\mathcal{A}$ + \item $\mathcal{B}$ + \item $\mathcal{C}$ + \item $\mathcal{D}$ + \item $\mathcal{E}$ + \item $\mathcal{F}$ + \item $\mathcal{G}$ + \item $\mathcal{H}$ + \item $\mathcal{I}$ + \item $\mathcal{J}$ + \item $\mathcal{K}$ + \item $\mathcal{L}$ + \item $\mathcal{M}$ + \item $\mathcal{N}$ + \item $\mathcal{O}$ + \item $\mathcal{P}$ + \item $\mathcal{Q}$ + \item $\mathcal{R}$ + \item $\mathcal{S}$ + \item $\mathcal{T}$ + \item $\mathcal{U}$ + \item $\mathcal{V}$ + \item $\mathcal{W}$ + \item $\mathcal{X}$ + \item $\mathcal{Y}$ + \item $\mathcal{Z}$ +\end{itemize} +\end{multicols} +\end{document} diff --git a/tikz/topology-continuous-mapping/topology-continuous-mapping.png b/tikz/topology-continuous-mapping/topology-continuous-mapping.png index a10304c6b04779d9c20de0fabd01a1cc1de5e19c..b8ecd632cecf2448e49616a90110a7b20404c8d5 100644 GIT binary patch literal 12202 zcmXY12|UyP|Nm@rpG7G5G2}kxz9VIX61lH1WLUXFMve;6oO7nu;XYO(*CI;hNUjwk zSD5?Az5jfFe~$;B**@F*z32P+e!ZUW*YoxGy2VviCSE2009fHBm#qK*OnnHvXP~40 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a/tikz/topology-continuous-mapping/topology-continuous-mapping.tex +++ b/tikz/topology-continuous-mapping/topology-continuous-mapping.tex @@ -24,12 +24,15 @@ \draw (\x,0.1) -- (\x,-0.1) node [below] {\x}; - \draw[red] (0.07,0.1) -- (0,0.1) -- (0,-0.1) -- (0.07,-0.1) node [below] {}; - \draw[red] plot [smooth] coordinates{(0.47,0.1) (0.5,0) (0.47,-0.1)}; + \draw[thick,red] (0.07,0.1) -- (0,0.1) -- (0,-0.1) -- (0.07,-0.1) node [below] {}; + \draw[thick,red] plot [smooth] coordinates{(0.47,0.1) (0.5,0) (0.47,-0.1)}; + \draw[thick,red] (0,0) -- (0.5,0); + \draw[dotted,red] (0,-0.03) -- (0.5,-0.03); \begin{scope}[shift={(4,0)}] \draw[thick] (0cm,0cm) circle(1cm); \draw[thick, red] ([shift={(180:1cm)}]-0.0,0) arc (180:0:1cm); + \draw[red, dotted] ([shift={(180:0.97cm)}]-0.0,0) arc (180:0:0.97cm); \draw (0:1cm) node[point, label=right:{$0$}] {}; \end{scope} diff --git a/tikz/topology-kartenwechsel/topology-kartenwechsel.png b/tikz/topology-kartenwechsel/topology-kartenwechsel.png index 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z--KVJ5mX0XGKm*+?wfGr!I)3)lhmo0ec;2hi?&&uT`v2)&r}D$ikt9DV8pL|237_0HYj@PEaeYPtZ1CL0Ri>+NKuW=uhJOTq&Kr2G3SkM9M(d zG(YhEicNx8yy_=o6p0NYgppVEq6|x5zrx5c|Ff7v&Gr=c7tTL0xAbM+9lxwP)0H4& z-%Vz^6Ws$k_7{R6&=e+TDn^?u|0YVKJE{d_tiVNs3IpMz|Nq8qk)MfVKKcWn`d?Eq_67g| diff --git a/tikz/topology-kartenwechsel/topology-kartenwechsel.tex b/tikz/topology-kartenwechsel/topology-kartenwechsel.tex index bbe6d99..3540d18 100644 --- a/tikz/topology-kartenwechsel/topology-kartenwechsel.tex +++ b/tikz/topology-kartenwechsel/topology-kartenwechsel.tex @@ -1,4 +1,5 @@ \documentclass[varwidth=true, border=2pt]{standalone} +\usepackage{amsmath,amssymb}% math symbols / fonts \usepackage{tikz} \usepackage{tqft} \usetikzlibrary{patterns} @@ -6,6 +7,7 @@ \begin{document} \begin{tikzpicture}[tqft/flow=east] \draw (0,0) ellipse (2cm and 1cm); + \draw (0,-2) ellipse (3cm and 0.8cm); \def\ringa{(-0.3,0) circle (0.5cm)} \def\ringb{(+0.3,0) circle (0.5cm)} @@ -30,6 +32,8 @@ \node at (+1,0.3) {$U_j$}; \node at (-1.9,-2) {$V_i$}; \node at (+1.9,-2) {$V_j$}; + \node at (+2.0,0.7) {$X$}; + \node at (+2.4,-1.3) {$\mathbb{R}^n$}; \path[->] (-0.35,0) edge [bend angle=10,bend right] node[label={[label distance=0.1cm]210:$\varphi_i$}] {} (-1,-1.5);