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misc
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@ -124,7 +124,7 @@ $f: X\to Y,\; g:Y\to Z$ Abbildungen.
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\end{definition}
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\begin{satz}
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Sei $\emptyset \neq X \subseteq \mdr^n \; A \subseteq X$ und
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Sei $\emptyset \neq X \subseteq \mdr^n,\; A \subseteq X$ und
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$f: X \rightarrow \mdr^n$.
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\begin{enumerate}
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@ -156,8 +156,8 @@ In diesem Paragraphen sei $X \neq \emptyset$ eine Menge.
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\textbf{$\sigma$-Algebra} auf $X$, wenn gilt:
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\begin{enumerate}
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\item[($\sigma_1$)] $X\in\fa$
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\item[($\sigma_2$)] Ist $A\in\fa$, so ist auch $A^c\in\fa$.
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\item[($\sigma_3$)] Ist $(A_j)$ eine Folge in $\fa$, so ist
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\item[($\sigma_2$)] $A\in\fa \implies A^c\in\fa$
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\item[($\sigma_3$)] $(A_j)$ ist eine Folge in $\fa \implies$
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$\bigcup A_j\in\fa$.
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\end{enumerate}
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\end{definition}
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8
math/strange-signs/Makefile
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8
math/strange-signs/Makefile
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@ -0,0 +1,8 @@
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SOURCE = strange-signs
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make:
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pdflatex $(SOURCE).tex -output-format=pdf
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make clean
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clean:
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rm -rf $(TARGET) *.class *.html *.log *.aux
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34
math/strange-signs/strange-signs.tex
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34
math/strange-signs/strange-signs.tex
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@ -0,0 +1,34 @@
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\documentclass[a4paper,9pt]{scrartcl}
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\usepackage[ngerman]{babel}
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\usepackage[utf8]{inputenc}
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\usepackage{amssymb,amsmath}
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\usepackage{geometry}
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\geometry{a4paper,left=18mm,right=18mm, top=2cm, bottom=2cm}
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\begin{document}
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\section{mathbb}
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\begin{tabular}{|c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c|}
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\hline
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A & $\mathbb{A}$ & B & $\mathbb{B}$ & C & $\mathbb{C}$ & D & $\mathbb{D}$ & E & $\mathbb{E}$ & F & $\mathbb{F}$ & G & $\mathbb{G}$ & H & $\mathbb{H}$ & I & $\mathbb{I}$ & J & $\mathbb{J}$ & K & $\mathbb{K}$ & L & $\mathbb{L}$ & M & $\mathbb{M}$\\
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\hline
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N & $\mathbb{N}$ & O & $\mathbb{O}$ & P & $\mathbb{P}$ & Q & $\mathbb{Q}$ & R & $\mathbb{R}$ & S & $\mathbb{S}$ & T & $\mathbb{T}$ & U & $\mathbb{U}$ & V & $\mathbb{V}$ & W & $\mathbb{W}$ & X & $\mathbb{X}$ & Y & $\mathbb{Y}$ & Z & $\mathbb{Z}$\\
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\hline
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\end{tabular}
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\section{mathfrak}
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\begin{tabular}{|c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c|}
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\hline
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A & $\mathfrak{A}$ & B & $\mathfrak{B}$ & C & $\mathfrak{C}$ & D & $\mathfrak{D}$ & E & $\mathfrak{E}$ & F & $\mathfrak{F}$ & G & $\mathfrak{G}$ & H & $\mathfrak{H}$ & I & $\mathfrak{I}$ & J & $\mathfrak{J}$ & K & $\mathfrak{K}$ & L & $\mathfrak{L}$ & M & $\mathfrak{M}$\\
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\hline
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N & $\mathfrak{N}$ & O & $\mathfrak{O}$ & P & $\mathfrak{P}$ & Q & $\mathfrak{Q}$ & R & $\mathfrak{R}$ & S & $\mathfrak{S}$ & T & $\mathfrak{T}$ & U & $\mathfrak{U}$ & V & $\mathfrak{V}$ & W & $\mathfrak{W}$ & X & $\mathfrak{X}$ & Y & $\mathfrak{Y}$ & Z & $\mathfrak{Z}$\\
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\hline
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\end{tabular}
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\section{mathcal}
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\begin{tabular}{|c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c||c|c|}
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\hline
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A & $\mathcal{A}$ & B & $\mathcal{B}$ & C & $\mathcal{C}$ & D & $\mathcal{D}$ & E & $\mathcal{E}$ & F & $\mathcal{F}$ & G & $\mathcal{G}$ & H & $\mathcal{H}$ & I & $\mathcal{I}$ & J & $\mathcal{J}$ & K & $\mathcal{K}$ & L & $\mathcal{L}$ & M & $\mathcal{M}$\\
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N & $\mathcal{N}$ & O & $\mathcal{O}$ & P & $\mathcal{P}$ & Q & $\mathcal{Q}$ & R & $\mathcal{R}$ & S & $\mathcal{S}$ & T & $\mathcal{T}$ & U & $\mathcal{U}$ & V & $\mathcal{V}$ & W & $\mathcal{W}$ & X & $\mathcal{X}$ & Y & $\mathcal{Y}$ & Z & $\mathcal{Z}$\\
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\hline
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\end{tabular}
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\end{document}
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