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\title{Maths}
\begin{document} 
	\maketitle
	
	$1 \times (1+a)=2$
	
	$\phi = \frac{1+\sqrt{5}}{2}$

	$\varphi = \dfrac{1 + \sqrt{5}}{2}$
	
	$\zeta(2) = \sum_{n=1}^{+\infty} \frac{1}{n^2}$
	
	\[
		\frac{\mathrm{d}f}{\mathrm{d}x} = \int_{42}^{57}{(\sin x)^{\ln x}\mathrm{d}x}
	\]
	
	$\displaystyle\Card(\bigcup_{n\in E} {\Gamma_n}) = 221$
	
	$\displaystyle\mathbb{R} \simeq 2^{\mathbb{N}}$
	
	\[
		\lim\limits_{n\rightarrow+\infty} \oint_{C_n} f(\theta)\mathrm{d}\theta \leqslant \pi
	\]
	
	$\displaystyle\forall \varepsilon > 0, \exists N \in \mathbb{N}, \forall n \geq N, \left| u_n - \ell \right| \leq \varepsilon\quad \Leftrightarrow \quad u \rightarrow \ell1$
	
	$\displaystyle(G,\oplus) \triangleleft \left( \frac{\mathbb{Z}}{7\mathbb{Z}}, \spadesuit \right)1$
	
	$\displaystyle\overrightarrow{\grad}\mathcal{F} \in \mathcal{C}^\infty(\mathbb{R})1$
	
	$\displaystyle\left\{ g \mapsto \overline{h * g^7 * 23, h \in G^\times}\right\} \subseteq \Hom_{gr} (G, \mathbb{Z}/57\mathbb{Z})1$
	
	$\displaystyle\lfloor a_n \rfloor \stackrel{\mathcal{P}(n)}{=} \#(\mathfrak{B}^n \cup E_\varnothing)1$
	
	$\displaystyle\partial f \cdot \vec{\imath} = \left< \mathcal{M}_4(\Bbbk), \mathfrak{S}_7\right>\quad\implies\quad a\land (b \circ c) \lor d \sim e$
	
\end{document}