typo in ALGZTH fixed

This commit is contained in:
Ameyah 2019-04-21 16:45:23 +02:00
parent 9ef58ed18d
commit ce189c9785
5 changed files with 141 additions and 3 deletions

View file

@ -105,11 +105,11 @@ Sei $K$ ein Körper, $f \in K[X]$ mit $n = \deg(f) > 0$.
\end{enumerate}
\end{example}
\begin{*example}
Sei $f = x^3 -2 \in \Q[X]$, dann sind die Nullstellen von $f$: $\sqrt[2]{3} \in \R, \zeta_3\sqrt[2]{3}, \zeta_3^2 \sqrt[2]{3}$
Sei $f = x^3 -2 \in \Q[X]$, dann sind die Nullstellen von $f$: $\sqrt[2]{2} \in \R, \zeta_3\sqrt[2]{2}, \zeta_3^2 \sqrt[2]{2}$
\begin{itemize}
\item $\Q(\sqrt[2]{3})$ ist Wurzelkörper von $f$. $\Q(\sqrt[2]{3}) \subseteq \R, \zeta_3\sqrt[2]{3}, \zeta_3^2 \sqrt[2]{3} \notin \R$, aber kein Zerfällungskörper. Der Zerfällungskörper von $f$ ist
\item $\Q(\sqrt[2]{2})$ ist Wurzelkörper von $f$. $\Q(\sqrt[2]{2}) \subseteq \R, \zeta_3\sqrt[2]{2}, \zeta_3^2 \sqrt[2]{2} \notin \R$, aber kein Zerfällungskörper. Der Zerfällungskörper von $f$ ist
\begin{align*}
\Q(\sqrt[2]{3},\zeta_3\sqrt[2]{3}, \zeta_3^2 \sqrt[2]{3}) = \Q(\sqrt[2]{3}, \zeta_3^2 \sqrt[2]{3})
\Q(\sqrt[2]{2},\zeta_3\sqrt[2]{2}, \zeta_3^2 \sqrt[2]{2}) = \Q(\sqrt[2]{2}, \zeta_3^2 \sqrt[2]{2})
\end{align*}
\end{itemize}
\end{*example}

Binary file not shown.

View file

@ -0,0 +1,40 @@
\documentclass{standalone}
\usepackage{tikz, amsmath}
% \usepackage{tikz-qtree}
\usepackage{tikz-cd}
% \usetikzlibrary{cd}
% \usetikzlibrary{arrows}
% \usetikzlibrary{automata}
% \usetikzlibrary{babel}
% \usetikzlibrary{calc}
% \usetikzlibrary{fit}
% \usetikzlibrary{matrix}
% \usetikzlibrary{positioning}
% \usetikzlibrary{shapes.geometric}
% \usetikzlibrary{arrows.meta,bending}
\begin{document}
\begin{align*}
% \begin{tikzcd}[ampersand replacement=\&]
% L \arrow[r, "\sigma"] \& L' K \arrow[r, "\varphi"]
% \arrow[u] \& K' \arrow[u]
% \end{tikzcd}
\begin{tikzcd}[ampersand replacement=\&]
L \arrow[r, "\sigma"] \arrow[d] \& L' \arrow[d] \\
K \arrow[r, "\phi"] \& \tilde{K}
\end{tikzcd}\\
\begin{tikzcd}
A \arrow[r, "\phi"] \arrow[d, red]
\& B \arrow[d, "\psi" red] \\
C \arrow[r, red, "\eta" blue]
\& D
\end{tikzcd}
\end{align*}
%
% \begin{tikzcd}
% L \arrow[dd] \arrow[rr] \& \& L' \arrow[dd] \\
% K \arrow[rr] \& \& K'
% \end{tikzcd}
\end{document}

98
cwl/mathscript - Copy.cwl Normal file
View file

@ -0,0 +1,98 @@
#include:tabularx
#include:longtable
#include:multirow
#include:colortbl
#include:amsmath
#include:amssymb
#include:amsfonts
#include:mathtools
#include:latexsym
#include:marvosym
#include:stdmaryd
#include:bbm
#include:wasysym
#include:mathafla
#include:cancel
#include:xfrac
#include:xcolor
#include:graphicx
#include:tcolorbox
#include:pgfplots
#include:pgf
#include:tikz
#include:ulem
#include:marginnote
#include:enumerate
#include:enumitem
#include:listings
#include:hyperref
#include:cleveref
#include:bookmark
#include:ntheorem
#include:mathoperators
\begin{theorem}
\begin{theorem}[title]
\end{theorem}
\begin{proposition}
\begin{proposition}[title]
\end{proposition}
\begin{lemma}
\begin{lemma}[title]
\end{lemma}
\begin{definition}
\begin{definition}[title]
\end{definition}
\begin{conclusion}
\begin{conclusion}[title]
\end{conclusion}
\begin{remark}
\begin{remark}[title]
\end{remark}
\begin{erinnerung}
\begin{erinnerung}[title]
\end{erinnerung}
\begin{example}
\begin{example}[title]
\end{example}
\begin{algorithm}
\begin{algorithm}[title]
\end{algorithm}
\begin{*definition}
\begin{*definition}[title]
\end{*definition}
\begin{*remark}
\begin{*remark}[title]
\end{*remark}
\begin{*example}
\begin{*example}[title]
\end{*example}
\begin{*anmerkung}
\begin{*anmerkung}[title]
\end{*anmerkung}
\begin{mathematica}
\begin{mathematica}[title]
\end{mathematica}
\begin{overview}
\begin{overview}[title]
\end{overview}
\begin{interpretation}[title]
\end{interpretation}
\begin{underlinedPlain}[title]
\end{underlinedPlain}
\begin{hint}
\end{hint}
\begin{plainenvironment}[title]
\end{plainenvironment}
\begin{underlinedenvironment}[title]
\end{underlinedenvironment}
\begin{boldEnvironment}[title]
\end{boldEnvironment}
\begin{repetition}
\end{repetition}
\begin{proof}
\begin{proof}[title]
\end{proof}
\proplbl{label}#l
\propref{ref}#r
\begriff{term}%text
\begriff[Ordnung]{term}[Unterordnung]%text