tex-projects/LaTeX-examples
2
0
Fork 0
mirror of https://github.com/MartinThoma/LaTeX-examples.git synced 2025-04-19 11:38:05 +02:00
Code Activity

x weg und wieder kursiv

Browse source
This commit is contained in:
Martin Thoma 2012-09-17 19:54:27 +02:00
parent a00e8a08a2
commit 577c1350c2
2 changed files with 24 additions and 18 deletions
Download patch file Download diff file Expand all files Collapse all files

36
cheat-sheets/analysis/Analysis_Wichtige_Formeln.tex
View file

@ -18,7 +18,7 @@
/Keywords (Analysis I; Formeln)
}
\everymath={\displaystyle}
%\everymath={\displaystyle}
\begin{document}
@ -65,14 +65,11 @@ e^x &= \sum_{n = 0}^{\infty} \frac {x^n}{n!} \\
(x + y)^n &= \sum_{k=0}^{n} \binom{n}{k} x^{n-k} y^k
\end{align*}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Ableitungen}
\begin{align*}
(\log x)' &= \frac{1}{x}
\end{align*}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{table}[ht]
\begin{minipage}[b]{0.5\linewidth}\centering
\begin{minipage}[b]{0.3\linewidth}\centering
\begin{align*}
(\sin x)' &= \cos x \\
(\cos x)' &= -\sin x \\
@ -82,8 +79,8 @@ e^x &= \sum_{n = 0}^{\infty} \frac {x^n}{n!} \\
\end{align*}
\end{minipage}
\hspace{0.5cm}
\begin{minipage}[b]{0.5\linewidth}
\hspace{0.1cm}
\begin{minipage}[b]{0.3\linewidth}
\centering
\begin{align*}
@ -94,14 +91,23 @@ e^x &= \sum_{n = 0}^{\infty} \frac {x^n}{n!} \\
% (\arccosh x)' &= \frac {1}{\sqrt{(1-x^2) \cdot (1+x^2)}} \\
% (\arctanh x)' &= \frac {1}{1 - x^2}
\end{align*}
\end{minipage}
\hspace{0.1cm}
\begin{minipage}[b]{0.3\linewidth}
\centering
\begin{align*}
(\log x)' &= \frac{1}{x} \\
\end{align*}
\end{minipage}
\end{table}
\section{Potenzreihen}
Zuerst den Potenzradius r berechnen:
\(
r = \frac {1}{\lim \text{sup} \sqrt[n]{|a_n|}}
\)
\section{Werte}
\begin{table}[h]
\centering
\begin{tabular}{llll}
\(\arctan(0) = 0\) & \(\sin(0) = 0\) & \(\cos(0) = 1\) \\
\(\arctan(1) = \frac{\pi}{4}\) & \(\sin(\frac{\pi}{2}) = 1\) & \(\cos(\frac{\pi}{2}) = 0\)\\
\end{tabular}
\end{table}
\end{document}

6
tikz/vector-triangle-inequality/vector-triangle-inequality.tex
View file

@ -17,8 +17,8 @@
% Draw the triangle
\path[fill=blue!10, fill=blue!5] (A) -- (B) -- (C) -- (A);
\draw[ultra thick, xvectorcolor, arrows={-latex}] (A) -- (C) node[sloped,midway,above=-0.1cm] {$\mathsf{x}$};
\draw[ultra thick, blue!80, arrows={-latex}] (C) -- (B) node[sloped,midway,above=-0.1cm] {$\mathsf{y}$};
\draw[ultra thick, red!80, arrows={-latex},line cap=round] (A) -- (B) node[sloped,midway,right=-0.3cm,above=-0.1cm] {$\mathsf{z = x+y}$};
\draw[ultra thick, xvectorcolor, arrows={-latex}] (A) -- (C) node[sloped,midway,above=-0.1cm] {$x$};
\draw[ultra thick, blue!80, arrows={-latex}] (C) -- (B) node[sloped,midway,above=-0.1cm] {$y$};
\draw[ultra thick, red!80, arrows={-latex},line cap=round] (A) -- (B) node[sloped,midway,right=-0.3cm,above=-0.1cm] {$x+y$};
\end{tikzpicture}
\end{document}