From 7b77fbd58531ee215052df4452237680d0a202c5 Mon Sep 17 00:00:00 2001
From: Martin Thoma <info@martin-thoma.de>
Date: Sat, 20 Oct 2012 07:56:26 +0200
Subject: [PATCH] misc

---
 documents/Analysis III/Analysis-III.tex |  6 ++---
 math/strange-signs/Makefile             |  8 ++++++
 math/strange-signs/strange-signs.tex    | 34 +++++++++++++++++++++++++
 3 files changed, 45 insertions(+), 3 deletions(-)
 create mode 100644 math/strange-signs/Makefile
 create mode 100644 math/strange-signs/strange-signs.tex

diff --git a/documents/Analysis III/Analysis-III.tex b/documents/Analysis III/Analysis-III.tex
index fae5d5d..baf5a9d 100644
--- a/documents/Analysis III/Analysis-III.tex	
+++ b/documents/Analysis III/Analysis-III.tex	
@@ -124,7 +124,7 @@ $f: X\to Y,\; g:Y\to Z$ Abbildungen.
 \end{definition}
 
 \begin{satz}
-    Sei $\emptyset \neq X \subseteq \mdr^n \; A \subseteq X$ und
+    Sei $\emptyset \neq X \subseteq \mdr^n,\; A \subseteq X$ und
     $f: X \rightarrow \mdr^n$.
 
     \begin{enumerate}
@@ -156,8 +156,8 @@ In diesem Paragraphen sei $X \neq \emptyset$ eine Menge.
     \textbf{$\sigma$-Algebra} auf $X$, wenn gilt:
     \begin{enumerate}
         \item[($\sigma_1$)] $X\in\fa$
-        \item[($\sigma_2$)] Ist $A\in\fa$, so ist auch $A^c\in\fa$.
-        \item[($\sigma_3$)] Ist $(A_j)$ eine Folge in $\fa$, so ist 
+        \item[($\sigma_2$)] $A\in\fa \implies A^c\in\fa$
+        \item[($\sigma_3$)] $(A_j)$ ist eine Folge in $\fa \implies$
                             $\bigcup A_j\in\fa$.
     \end{enumerate}
 \end{definition}
diff --git a/math/strange-signs/Makefile b/math/strange-signs/Makefile
new file mode 100644
index 0000000..a99deac
--- /dev/null
+++ b/math/strange-signs/Makefile
@@ -0,0 +1,8 @@
+SOURCE = strange-signs
+
+make:
+	pdflatex $(SOURCE).tex -output-format=pdf
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux
diff --git a/math/strange-signs/strange-signs.tex b/math/strange-signs/strange-signs.tex
new file mode 100644
index 0000000..82b3f5c
--- /dev/null
+++ b/math/strange-signs/strange-signs.tex
@@ -0,0 +1,34 @@
+\documentclass[a4paper,9pt]{scrartcl}
+\usepackage[ngerman]{babel} 
+\usepackage[utf8]{inputenc}
+\usepackage{amssymb,amsmath}
+\usepackage{geometry}
+\geometry{a4paper,left=18mm,right=18mm, top=2cm, bottom=2cm} 
+
+\begin{document}
+\section{mathbb}
+\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|}
+    \hline
+    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 & $\mathbb{M}$\\ 
+    \hline
+    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 & $\mathbb{Z}$\\
+    \hline
+\end{tabular}
+
+\section{mathfrak}
+\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|}
+    \hline
+    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 & $\mathfrak{M}$\\ 
+    \hline
+    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 & $\mathfrak{Z}$\\
+    \hline
+\end{tabular}
+
+\section{mathcal}
+\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|}
+    \hline
+    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 & $\mathcal{M}$\\ 
+    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 & $\mathcal{Z}$\\
+    \hline
+\end{tabular}
+\end{document}