Fix compilation errors cause by updates

This commit is contained in:
Anton Mosich 2023-01-04 23:18:29 +01:00
parent af2902e2ab
commit af89ca8f3c
Signed by: Flugschwein
GPG Key ID: 9303E1C32E3A14A0
1 changed files with 13 additions and 5 deletions

View File

@ -8,14 +8,14 @@
\usepackage{amssymb}
\usepackage{marvosym}
\usepackage{mathtools}
\usepackage[colorlinks=true, linkcolor=magenta]{hyperref}
\usepackage{cancel}
\usepackage[ngerman]{babel}
\usepackage{harpoon}
\usetikzlibrary{tikzmark,calc,arrows,arrows.meta,angles,math,decorations.markings}
\usepackage{pgfplots}
\usepackage{framed}
\usepackage[hyperref,amsmath,amsthm,thmmarks,thref,framed]{ntheorem}
\usepackage[hyperref,amsmath,thmmarks,thref,framed]{ntheorem}
\usepackage[colorlinks=true, linkcolor=magenta]{hyperref}
\usepackage{tcolorbox}
\usepackage{geometry}
\geometry{a4paper, top=35mm, left=25mm, right=25mm, bottom=30mm}
@ -39,6 +39,13 @@
\newcommand\K{\ensuremath{\mathbb{K}}}
\newcommand\mapsfrom{\rotatebox{180}{$\mapsto$}}
\theoremsymbol{\ensuremath{\square}}
\theorembodyfont{\normalfont}
\theoremheaderfont{\normalfont\it}
\theoremseparator{.}
\newtheorem*{proof}{Beweis}
\qedsymbol{\Lightning}
\definecolor{pastellblau}{HTML}{5BCFFA}
\definecolor{pastellrosa}{HTML}{F5ABB9}
\definecolor{weiss}{HTML}{FFFFFF}
@ -50,6 +57,7 @@
\theorembodyfont{\normalfont}
\theoreminframepreskip{0em}
\theoreminframepostskip{0em}
\theoremsymbol{}
\newtcbox{\theoremBox}{colback=pastellrosa!17,colframe=pastellrosa!87,boxsep=0pt,left=7pt,right=7pt,top=7pt,bottom=7pt}
\def\theoremframecommand{\theoremBox}
@ -1095,8 +1103,8 @@ $\le\genfrac{}{}{0pt}{0}{\dim(V)}{n}$, da
\text{\ref{eq:2.2.10.3}} - \text{\ref{eq:2.2.10.2}}
& \implies \underbrace{(\lambda_r - \lambda_1)}_{\neq0} \mu_1 v_1 + \cdots +
\underbrace{(\lambda_r - \lambda_{r-1})}_{\neq0} \mu_{r-1} v_{r-1} = 0 \\
& \implies v_1, \dots, v_{r-1} \text{ linear abhängig. \Lightning}
\end{aligned} \]
& \implies v_1, \dots, v_{r-1} \text{ linear abhängig.}
\end{aligned} \]\qed
\end{itemize}
\end{proof}
@ -1749,7 +1757,7 @@ Angenommen \(\alpha - \lambda \id: V \to V\) nilpotent. Dann besitzt \(\alpha\)
Angenommen $\exists l\ge k$ mit $V_{l+1} \neq V_l$. Sei $0\neq v\in V_{l+1} \setminus V_l$
$\implies 0 = \alpha^{l+1}(v) = \alpha^{k+1}(\alpha^{l-k}(v))$ und $0\neq \alpha^l(v)
= \alpha^k (\alpha^{l-k}(v)) \implies 0\neq \alpha^{l-k}(v) \in V_{k+1}\setminus V_k$
\Lightning
\qed
\end{proof}
\begin{defin}