Question

check

Answer 1

\[$$
\sigma(s,i) = \left\{
\begin{array}{ll}
\tau_{si} & \mbox{si } \{s,i\} \in E \\
\infty & \mbox{sinon.}
\end{array}
\right.
$$\]

Answer 2

$$
\sigma(s,i) = \left\{
\begin{array}{ll}
\tau_{si} & \mbox{si } \{s,i\} \in E \\
\infty & \mbox{sinon.}
\end{array}
\right.
$$

Answer 3

\[\textbf{quick brown fox}\]

Answer 4

\[\textit{quick brown fox}\]

Answer 5

\begin{prop}
This is the text of my proposition.
\end{prop}

Answer 6

\newtheorem{thm}{Theorem}
\begin{thm}[Main Theorem]
This is the main theorem.
\end{thm}

Answer 7

\begin{equation}
(M_g) = 2-2g,
\end{equation}

Answer 8

$$\lim_{\delta\rightarrow 0}\frac{f(x+\delta)
- f(x)}{\delta}$$

Answer 9

$$ \Biggl( \biggl( \Bigl( \bigl( ( ) \bigr) \Bigr)
\biggr) \Biggr) $$

Answer 10

$$
\begin{matrix}
a_{11} & 0 & \ldots & a_{1n}\\
0 & a_{22} & \ldots & a_{2n}\\
\vdots & \vdots & \ddots & \vdots\\
0 & 0 &\ldots & a_{nn}
\end{matrix}
$$

Answer 11

$$
x_\lambda =
\begin{cases}
x & \text{if $\lambda$ is an eigenvalue;}\\
-x & \text{if $-\lambda$ is an eigenvalue;}\\
0 & \text{otherwise.}
\end{cases}
$$

Answer 12

$$\begin{array}{rcccl}
\; & \; & G &\; &\; \\
\; & \nearrow & \; & \nwarrow &\; \\
H & \; & \; & \; &\text{Stab}_G(\eta) \\
\; & \nwarrow & \; & \nearrow &\; \\
\; & \; & H_{_\rho} & \; &\; \\
\; & \; & \mid &\; &\; \\
\; & \; & K &\; &\;
\end{array}$$

Answer 13

$$\begin{array}{rcccl}
\; & \; & G &\; &\; \\
\; & \nearrow & \; & \nwarrow &\; \\
H & \; & \; & \; &\text{Stab}_G(\eta) \\
\; & \nwarrow & \; & \nearrow &\; \\
\; & \; & H_{_\rho} & \; &\; \\
\; & \; & \mid &\; &\; \\
\; & \; & K &\; &\;
\end{array}$$

Answer 14

$$\begin{array}{rcccl}
\; & \; & 1 &\; &\; \\
\; & \nearrow & \; & \searrow &\; \\
4 & \; & \; & \; &2 \\
\; & \nwarrow & \; & \swarrow &\; \\
\; & \; & 3 & \; &\; \\

\end{array}$$

Answer 15

$$\begin{array}{rcccl}
\nearrow \\ && \swarrow\\\nearrow \\ &&\nearrow \\ &&
\searrow \\ && \nwarrow\\\nearrow \\ &&\nearrow \\ &&
\end{array}$$