MATHS MDE — AnimBoucleMDE

$(a+b)^2 = a^2+2ab+b^2$

$y = mx + p$

$\sin^2 x + \cos^2 x = 1$

$\vec{u}+\vec{v}$

$f(x)=ax+b$

$\mathbb{N}\subset\mathbb{Z}\subset\mathbb{D}\subset\mathbb{Q}\subset\mathbb{R}$

$\bar{x}=\frac{\sum n_ix_i}{N}$

$AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$

$\vec{u}\cdot\vec{v}=\|\vec{u}\|\|\vec{v}\|\cos\theta$

$ax^2+bx+c=0$

$f'(a)=\lim_{h\to0}\frac{f(a+h)-f(a)}{h}$

$u_{n+1}=f(u_n)$

$\cos\frac{\pi}{3}=\frac12$

$\sin(x+\varphi)$

$\mathcal{P}(0)\text{ et }\mathcal{P}(n)\Rightarrow\mathcal{P}(n+1)$

$\binom{n}{k}=\frac{n!}{k!(n-k)!}$

$P(X=k)=\binom{n}{k}p^k(1-p)^{n-k}$

$\binom{n}{k}=\binom{n-1}{k-1}+\binom{n-1}{k}$

$(e^x)'=e^x$

$\ln(ab)=\ln a+\ln b$

$y'=ay$

$f''>0$

$\lim_{x\to x_0}f(x)=f(x_0)$

$\sqrt{n^2+2n}-n\to1$

$\lim_{x\to0}\frac{e^x-1}{x}=1$

$y=ax+b$

$\vec{n}\cdot\vec{u}=0$

$\overrightarrow{AM}=s\,\overrightarrow{AB}+t\,\overrightarrow{AC}$

$\int_a^b f(x)\,dx=F(b)-F(a)$

$\int_a^b f(x)\,dx$