48 lines
1.1 KiB
TeX
48 lines
1.1 KiB
TeX
\documentclass[a4paper, ngerman]{report}
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\usepackage[utf8]{inputenc}
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\usepackage[T1]{fontenc}
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\usepackage{babel}
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\usepackage{eurosym, tipa, textcomp, textgreek, upgreek}
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\usepackage{amssymb, amsfonts, amsmath, dsfont}
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\usepackage[hidelinks]{hyperref}
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\usepackage{cleveref}
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\usepackage{graphicx}
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\usepackage{longtable, array, tabularx, booktabs, colortbl}
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\usepackage{minted}
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\begin{document}
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\thispagestyle{empty}
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\hrule
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\begin{center}
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\textbf{Gravitational acceleration in Germany}
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$$9,81\,\frac{m}{s^2}$$ \\
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~ \\
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\textbf {\textit{pq} formula}
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$$x_{1,2} = - \frac{p}{2} \pm \sqrt{\left(\frac{p}{2}\right)^2 - q}$$ \\
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~ \\
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\textbf{Quadratic formula}
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$$x_{1,2} = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ \\
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~ \\
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\textbf{Catalan numbers}
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\begin{equation*} C_n = \frac{1}{n+1} {2n \choose n} = \frac{(2n)!}{(n+1)!n!} \end{equation*} \\
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~ \\
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\textbf{Definition of a factorial}
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$$n! = \prod_{i=1}^{n} i$$ \\
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~ \\
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\textbf{Set of all odd natural numbers}
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$$\{ x \mid x \in \mathds{N}, \text{odd}(x) \}$$
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~ \\
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\textbf{Elimination $\neg\exists x$}
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$$\neg\exists x . p(x) \Leftrightarrow \forall x . \neg p(x)$$
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\end{center}
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\hrule
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\end{document}
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