From ce189c97853b216719893b7cb70c408c2437d3d3 Mon Sep 17 00:00:00 2001 From: Ameyah Date: Sun, 21 Apr 2019 16:45:23 +0200 Subject: [PATCH] typo in ALGZTH fixed --- .../Korper/Wurzelkorper_Zerfallungskorper.tex | 6 +- 4. Semester/ALGZTH/Vorlesung ALGZTH.pdf | Bin 409163 -> 499834 bytes Material/ALG/lemma_1_3_12.pdf | Bin 0 -> 37143 bytes Material/ALG/lemma_1_3_12.tex | 40 +++++++ cwl/mathscript - Copy.cwl | 98 ++++++++++++++++++ 5 files changed, 141 insertions(+), 3 deletions(-) create mode 100644 Material/ALG/lemma_1_3_12.pdf create mode 100644 Material/ALG/lemma_1_3_12.tex create mode 100644 cwl/mathscript - Copy.cwl diff --git a/4. Semester/ALGZTH/TeX_files/Korper/Wurzelkorper_Zerfallungskorper.tex b/4. Semester/ALGZTH/TeX_files/Korper/Wurzelkorper_Zerfallungskorper.tex index 8a4348f..9cc183c 100644 --- a/4. Semester/ALGZTH/TeX_files/Korper/Wurzelkorper_Zerfallungskorper.tex +++ b/4. Semester/ALGZTH/TeX_files/Korper/Wurzelkorper_Zerfallungskorper.tex @@ -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} diff --git a/4. Semester/ALGZTH/Vorlesung ALGZTH.pdf b/4. 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\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} diff --git a/cwl/mathscript - Copy.cwl b/cwl/mathscript - Copy.cwl new file mode 100644 index 0000000..f893020 --- /dev/null +++ b/cwl/mathscript - Copy.cwl @@ -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