Display equation
\begin{equation} \ket{\psi}=a\ket0+b\ket1 \end{equation}
\begin{equation}
\ket{\psi}=a\ket0+b\ket1
\end{equation}
Fraction / sqrt
$\frac{a}{b},\ \sqrt{2}$
$\frac{a}{b},\ \sqrt{2}$
Sub/superscripts
$x_{t+1},\ e^{i\theta}$
$x_{t+1},\ e^{i\theta}$
Greek letters
$\alpha,\beta,\gamma,\lambda,\mu,\sigma,\omega$
$\alpha,\beta,\gamma,\lambda,\mu,\sigma,\omega$
Sums / products / limits
$\sum_{i=1}^{n}x_i,\ \prod_{i=1}^{n}x_i,\ \lim_{n\to\infty}a_n$
$\sum_{i=1}^{n}x_i,\ \prod_{i=1}^{n}x_i,\ \lim_{n\to\infty}a_n$
Sets / logic
$\in,\ \subset,\ \cap,\ \cup,\ \forall,\ \exists$
$\in,\ \subset,\ \cap,\ \cup,\ \forall,\ \exists$
Vectors / matrices
$\mathbf{x},\ \vec{x},\ \mathbf{A}$
$\mathbf{x},\ \vec{x},\ \mathbf{A}$
Derivatives
$\frac{d}{dx}f(x),\ \frac{\partial}{\partial x}f(x)$
$\frac{d}{dx}f(x),\ \frac{\partial}{\partial x}f(x)$
Quantum (Dirac)
$\bra{\phi}A\ket{\psi},\ \ket{0},\ \braket{\phi|\psi}$
$\bra{\phi}A\ket{\psi},\ \ket{0},\ \braket{\phi|\psi}$