Mathematics

E = mc^2

a + b = c

x - y = z

a \times b = c

a \div b = c

\frac{a}{b}

\frac{x^2 + 2x + 1}{x + 1}

\frac{\partial f}{\partial x}

x^2 + y^2 = z^2

a_1 + a_2 + a_3 + ... + a_n

x^{2n+1}

a_{i,j}

\sqrt{x}

\sqrt[3]{x}

\sqrt{x^2 + y^2}

\frac{d}{dx}(x^2) = 2x

\int_{0}^{\infty} e^{-x} dx = 1

\lim_{x \to \infty} \frac{1}{x} = 0

\sum_{i=1}^{n} i = \frac{n(n+1)}{2}

\prod_{i=1}^{n} i = n!

\alpha, \beta, \gamma, \delta, \epsilon, \theta, \lambda, \mu, \pi, \sigma, \omega

\Gamma, \Delta, \Theta, \Lambda, \Xi, \Pi, \Sigma, \Omega

\sin(x), \cos(x), \tan(x)

\sin^2(x) + \cos^2(x) = 1

\arcsin(x), \arccos(x), \arctan(x)

\vec{v} = \begin{bmatrix} x \\ y \\ z \end{bmatrix}

A = \begin{bmatrix}
a_{11} & a_{12} & a_{13} \\
a_{21} & a_{22} & a_{23} \\
a_{31} & a_{32} & a_{33}
\end{bmatrix}

\det(A) = \begin{vmatrix}
a & b \\
c & d
\end{vmatrix} = ad - bc

\text{Area} = \pi r^2

\begin{aligned}
f(x) &= x^2 + 2x + 1 \\
     &= (x + 1)^2
\end{aligned}

F = ma

i\hbar\frac{\partial}{\partial t}\Psi = \hat{H}\Psi

\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}

O(n \log n)

T(n) = 2T(\frac{n}{2}) + \Theta(n)

A = P\left(1 + \frac{r}{n}\right)^{nt}

V = IR

Re = \frac{\rho vL}{\mu}

$$
E = mc^2
$$