55 lines
1.6 KiB
TeX
55 lines
1.6 KiB
TeX
\documentclass{article}
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\usepackage[french]{babel}
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\usepackage[utf8]{inputenc}
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\usepackage[a4paper]{geometry}
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\usepackage{lipsum}
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\usepackage{amsmath}
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\usepackage{amssymb}
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\usepackage{amsthm}
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\usepackage{setspace}
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\doublespacing
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\DeclareMathOperator{\Card}{Card}
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\DeclareMathOperator{\grad}{grad}
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\DeclareMathOperator{\Hom}{\boldsymbol{\mathrm{Hom}}}
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% Fin du préambule.
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\title{Maths}
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\begin{document}
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\maketitle
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$1 \times (1+a)=2$
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$\phi = \frac{1+\sqrt{5}}{2}$
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$\varphi = \dfrac{1 + \sqrt{5}}{2}$
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$\zeta(2) = \sum_{n=1}^{+\infty} \frac{1}{n^2}$
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\[
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\frac{\mathrm{d}f}{\mathrm{d}x} = \int_{42}^{57}{(\sin x)^{\ln x}\mathrm{d}x}
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\]
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$\displaystyle\Card(\bigcup_{n\in E} {\Gamma_n}) = 221$
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$\displaystyle\mathbb{R} \simeq 2^{\mathbb{N}}$
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\[
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\lim\limits_{n\rightarrow+\infty} \oint_{C_n} f(\theta)\mathrm{d}\theta \leqslant \pi
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\]
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$\displaystyle\forall \varepsilon > 0, \exists N \in \mathbb{N}, \forall n \geq N, \left| u_n - \ell \right| \leq \varepsilon\quad \Leftrightarrow \quad u \rightarrow \ell1$
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$\displaystyle(G,\oplus) \triangleleft \left( \frac{\mathbb{Z}}{7\mathbb{Z}}, \spadesuit \right)1$
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$\displaystyle\overrightarrow{\grad}\mathcal{F} \in \mathcal{C}^\infty(\mathbb{R})1$
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$\displaystyle\left\{ g \mapsto \overline{h * g^7 * 23, h \in G^\times}\right\} \subseteq \Hom_{gr} (G, \mathbb{Z}/57\mathbb{Z})1$
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$\displaystyle\lfloor a_n \rfloor \stackrel{\mathcal{P}(n)}{=} \#(\mathfrak{B}^n \cup E_\varnothing)1$
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$\displaystyle\partial f \cdot \vec{\imath} = \left< \mathcal{M}_4(\Bbbk), \mathfrak{S}_7\right>\quad\implies\quad a\land (b \circ c) \lor d \sim e$
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\end{document}
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