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Karteikarten
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Martin Thoma
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6 changed files with 71 additions and 51 deletions
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@ -63,3 +63,4 @@ in dem Erstellen dieses Skripts steckt:
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|04.02.2014 | 18:15 - 19:30 | Verbesserungen von Marco eingefügt (Danke!); Beispiel 3.2 erstellt
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|05.02.2014 | 08:15 - 08:30 | Verbesserungen von Jérôme eingefügt (Danke!)
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|06.02.2014 | 08:15 - 08:30 | Verbesserungen
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|06.02.2014 | 15:45 - 16:00 | Karteikarten
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@ -70,7 +70,7 @@ $\gamma_1 * \gamma_2\;\;\;$ Zusammenhängen von Wegen\\
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\section*{Zahlenmengen}
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$\mdn = \Set{1, 2, 3, \dots} \;\;\;$ Natürliche Zahlen\\
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$\mdz = \mdn \cup \Set{0, -1, -2, \dots} \;\;\;$ Ganze Zahlen\\
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$\mdq = \mdz \cup \Set{\frac{1}{2}, \frac{1}{3}, \frac{2}{3}} = \Set{\frac{a}{b} \text{ mit } a \in \mdz \text{ und } b \in \mdz \setminus \Set{0}} \;\;\;$ Rationale Zahlen\\
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$\mdq = \mdz \cup \Set{\frac{1}{2}, \frac{1}{3}, \frac{2}{3}} = \Set{\frac{z}{n} \text{ mit } z \in \mdz \text{ und } n \in \mdz \setminus \Set{0}} \;\;\;$ Rationale Zahlen\\
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$\mdr = \mdq \cup \Set{\sqrt{2}, -\sqrt[3]{3}, \dots}\;\;\;$ Reele Zahlen\\
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$\mdr^+\;$ Echt positive reele Zahlen\\
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$\mdr^\times = \mdr \setminus \Set{0} \;$ Einheitengruppe von $\mdr$\\
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@ -1,49 +1,61 @@
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\documentclass[mycards,frame]{flashcards}
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\usepackage{etoolbox}
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\usepackage{amsmath,amssymb}% math symbols / fonts
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\usepackage{mathtools} % \xRightarrow
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\usepackage{nicefrac} % \nicefrac
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\usepackage[utf8]{inputenc} % this is needed for umlauts
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\usepackage[ngerman]{babel} % this is needed for umlauts
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\usepackage[T1]{fontenc} % this is needed for correct output of umlauts in pdf
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\usepackage{ntheorem}
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\newcommand{\thmfoot}{}
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\theoremstyle{break}
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\setlength\theoremindent{0.7cm}
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\theoremheaderfont{\kern-0.7cm\normalfont\bfseries}
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\theorembodyfont{\normalfont} % nicht mehr kursiv
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\theoremseparator{\thmfoot}
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\newtheorem{definition}{Definition}
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\usepackage[framed,amsmath,thmmarks,hyperref]{ntheorem}
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\usepackage{framed}
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\usepackage{marvosym}
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\usepackage{makeidx} % for automatically generation of an index
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\usepackage{xcolor}
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\usepackage[bookmarks,bookmarksnumbered,hypertexnames=false,pdfpagelayout=OneColumn,colorlinks,hyperindex=false]{hyperref} % has to be after makeidx
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\usepackage{enumitem} % Better than \usepackage{enumerate}, because it allows to set references
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\usepackage{tabto}
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\usepackage{braket} % needed for \Set
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\usepackage{csquotes} % \enquote{}
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\usepackage{subfig} % multiple figures in one
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\usepackage{parskip} % nicer paragraphs
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\usepackage{xifthen} % \isempty
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\usepackage{changepage} % for the adjustwidth environment
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\usepackage{pst-solides3d}
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\usepackage[colorinlistoftodos]{todonotes}
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\usepackage{pgfplots}
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\pgfplotsset{compat=1.7}
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\usepackage[arrow, matrix, curve]{xy}
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\usepackage{caption} % get newlines within captions
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\usepackage{tikz} % draw
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\usepackage{tikz-3dplot} % draw
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\usepackage{tkz-fct} % draw
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\usepackage{tkz-euclide} % draw
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\usetkzobj{all} % tkz-euclide
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\usetikzlibrary{3d,calc,intersections,er,arrows,positioning,shapes.misc,patterns,fadings,decorations.pathreplacing}
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\usepackage{tqft}
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\usepackage{xspace} % for new commands; decides weather I want to insert a space after the command
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\usepackage[german,nameinlink]{cleveref} % has to be after hyperref, ntheorem, amsthm
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%%
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\newcounter{chapter}
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\newcommand\chapter{\if@openright\cleardoublepage\else\clearpage\fi
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\thispagestyle{plain}%
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\global\@topnum\z@
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\@afterindentfalse
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\secdef\@chapter\@schapter}
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%%
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\usepackage{../shortcuts}
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\hypersetup{
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pdfauthor = {Martin Thoma},
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pdfkeywords = {Geometrie und Topologie},
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pdftitle = {Geometrie und Topologie - Definitionen}
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}
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\allowdisplaybreaks
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Begin document %
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{document}
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\begin{flashcard}{Jordankurve}
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\begin{definition}
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Sei $X$ ein topologischer Raum. Eine (geschlossene)
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\textbf{Jordankurve} in $X$ ist ein Homöomorphismus
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$\gamma: [0, 1] \rightarrow C \subseteq X$
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($\gamma: S^1 \rightarrow C \subseteq X$)
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\end{definition}
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\end{flashcard}
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\begin{flashcard}{Knoten}
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\begin{definition}
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Eine geschlossene Jordankurve in $r^3$ heißt \textbf{Knoten}.
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\end{definition}
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\end{flashcard}
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\begin{flashcard}{äquivalente Knoten}
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\begin{definition}
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Zwei Knoten $\gamma_1, \gamma_2: S^1 \rightarrow r^3$ heißen
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\textbf{äquivalent}, wenn es eine stetige Abbildung
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\[H: S^1 \times [0,1] \Rightarrow r^3\]
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gibt mit
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\begin{align*}
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H(z,0) &= \gamma_1(z)\\
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H(z,1) &= \gamma_2(z)
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\end{align*}
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und für jedes
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feste $t \in [0,1]$ ist
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\[H_z: S^1 \rightarrow r^2, z \mapsto H(z,t)\]
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ein Knoten. Die Abbildung $H$ heißt \textbf{Isotopie} zwischen
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$\gamma_1$ und $\gamma_2$.
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\end{definition}
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\end{flashcard}
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%CONTENT%
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\end{document}
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@ -1,4 +1,4 @@
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#!/usr/bin/env python
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#!/usr/bin/env python3
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# -*- coding: utf-8 -*-
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import re, glob
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@ -7,10 +7,17 @@ def get_definitions(filename):
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with open(filename) as f:
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content = f.read()
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pattern = re.compile(r"\\begin{definition}.*?\\end{definition}", re.DOTALL)
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m = re.findall(pattern, content)
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return "\n\n".join('\\vspace*{{\\fill}}\n{0}\n\\vspace*{{\\fill}}\\clearpage'.format(definition) for definition in m)
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#return "\n\n".join('\\begin{{flashcard}}{{a}}\n{0}\n\\end{{flashcard}}'.format(definition) for definition in m)
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pattern = re.compile(r"\\begin{definition}.*?\\end{definition}", re.DOTALL | re.UNICODE)
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index_pattern = re.compile(r"\\xindex{(?:.*?@)?(.*?)(?:\|.*?)?}", re.UNICODE)
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definitions = re.findall(pattern, content)
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def_dict_list = []
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for definition in definitions:
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names = re.findall(index_pattern, definition)
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names = map(lambda s: s.replace("!", ", "), names)
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name = "\\\\".join(names)
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def_dict_list.append({"name":name, "definition":definition})
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#return "\n\n".join('\\vspace*{{\\fill}}\n{0}\n\\vspace*{{\\fill}}\\clearpage'.format(definition["definition"]) for definition in def_dict_list)
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return "\n\n".join('\\begin{{flashcard}}{{ {1} }}\n{{ {0} }}\n\\end{{flashcard}}'.format(definition["definition"], definition["name"]) for definition in def_dict_list)
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def write_definitions_to_template(definitions, template="mathe-vorlage.tex", target="definitionen.tex"):
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with open(template) as f:
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@ -24,4 +31,4 @@ if __name__ == "__main__":
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definitions = []
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for texsource in sorted(glob.glob("../Kapitel*.tex")):
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definitions.append(get_definitions(texsource))
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write_definitions_to_template("\n\n\n".join(definitions))
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write_definitions_to_template("\n\n\n".join(definitions), "flashcards-try.tex")
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@ -6,7 +6,7 @@
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\newcommand{\cardcolumns}{2}
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\setlength{\cardheight}{70mm}
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\setlength{\cardwidth}{100mm}
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\setlength{\topoffset}{0mm}
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\setlength{\oddoffset}{0mm}
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\setlength{\evenoffset}{0mm}
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\setlength{\topoffset}{2mm}
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\setlength{\oddoffset}{5mm}
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\setlength{\evenoffset}{5mm}
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\endinput
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