LaTex Quick Reference¶

Greek and Hebrew letters¶


\(\alpha\) \alpha	\(\beta\) \beta	\(\chi\) \chi	\(\delta\) \delta	\(\epsilon\) \epsilon	\(\eta\) \eta
\(\gamma\) \gamma	\(\iota\) \iota	\(\kappa\) \kappa	\(\lambda\) \lambda	\(\mu\) \mu	\(\nu\) \nu
\(o\) o	\(\omega\) \omega	\(\phi\) \phi	\(\pi\) \pi	\(\psi\) \psi	\(\rho\) \rho
\(\sigma\) \sigma	\(\tau\) \tau	\(\theta\) \theta	\(\upsilon\) \upsilon	\(\xi\) \xi	\(\zeta\) \zeta
\(\digamma\) \digamma	\(\varepsilon\) \varepsilon	\(\varkappa\) \varkappa	\(\varphi\) \varphi	\(\varpi\) \varpi	\(\varrho\) \varrho
\(\varsigma\) \varsigma	\(\vartheta\) \vartheta

LaTex Math Constructs¶


\(\frac{x}{y}\) `\frac{x}{y}`	\(\overline{x}\) `\overline{x}`	\(\underline{x}\) `\underline{x}`	\(\sqrt{x}\) `\sqrt{x}`	\(\sqrt[n]{x}\) `\sqrt[n]{x}`
\({n \choose k}\) `{n \choose k}`
## Delimiters

--	--	--	--	--
\(\{\) \{	\(\}\) \}	\(\vert\) \vert	\([\) [	\(]\) ]

Also the vertical bar ("|"): \(|\)

Use \left and \right to pair the delimiters and match their heights:

x = \left[\begin{array}{cc}
  1 & 2 \\
  3 & 4 \\
\end{array}\right]

\[ x = \left[\begin{array}{cc} 1 & 2 \\ 3 & 4 \\ \end{array}\right] \]

Use \left. or \right. to start or end a pair without using a delimiter:

\delta(t) = \left\{\begin{array}{ccl}
  1 & \cdots & t = 0 \\
  0 & \cdots & \mbox{otherwise}
\end{array}\right.

\[ \delta(t) = \left\{\begin{array}{ccl} 1 & \cdots & t = 0 \\ 0 & \cdots & \mbox{otherwise} \end{array}\right. \]

Variable-sized symbols (displayed formulae show larger version)¶

Standard Function Names¶


\(\operatorname{MyFunc}\) \operatorname{MyFunc}	\(\cos\) \cos	\(\sin\) \sin	\(\exp\) \exp	\(\arg\) \arg

Binary Operation/Relation Symbols¶

Operators¶


\(\ast\) \ast	\(\star\) \star	\(\cdot\) \cdot	\(\circ\) \circ	\(\times\) \times

Equal Signs¶


\(\triangleq\) \triangleq	\(\equiv\) \equiv	\(\cong\) \cong	\(\sim\) \sim	\(\neq\) \neq

Arrow symbols¶

Miscellaneous symbols¶


\(\infty\) \infty	\(\nabla\) \nabla	\(\partial\) \partial	\(\eth\) \eth	\(\forall\) \forall	\(\exists\) \exists
\(\cdots\) \cdots	\(\vdots\) \vdots	\(\ldots\) \ldots	\(\ddots\) \ddots	\(\Im\) \Im	\(\Re\) \Re
\(\imath\) \imath	\(\jmath\) \jmath	\(\ell\) \ell

Math mode accents¶


\(\acute{a}\) \acute{a}	\(\breve{a}\) \breve{a}	\(\ddot{a}\) \ddot{a}	\(\grave{a}\) \grave{a}	\(\tilde{a}\) \tilde{a}
\(\bar{a}\) \bar{a}	\(\check{a}\) \check{a}	\(\dot{a}\) \dot{a}	\(\hat{a}\) \hat{a}	\(\vec{a}\) \vec{a}
\(\acute{\acute{A}}\) \acute{\acute{A}}	\(\breve{\breve{A}}\) \breve{\breve{A}}	\(\ddot{\ddot{A}}\) \ddot{\ddot{A}}	\(\grave{\grave{A}}\) \grave{\grave{A}}	\(\tilde{\tilde{A}}\) \tilde{\tilde{A}}
\(\bar{\bar{A}}\) \bar{\bar{A}}	\(\check{\check{A}}\) \check{\check{A}}	\(\dot{\dot{A}}\) \dot{\dot{A}}	\(\hat{\hat{A}}\) \hat{\hat{A}}	\(\vec{\vec{A}}\) \vec{\vec{A}}

Styles¶


\(\mathcal{ABC}\) \mathcal{ABC}
\(\mathbb{ABC}\) \mathbb{ABC}
\(\mathfrak{ABC}\) \mathfrak{ABC}
\(\mathsf{ABC}\) \mathsf{ABC}
\(\mathbf{ABC}\) \mathbf{ABC}

Array environment, examples¶

Quick summary

Use \left + Delimiter and \right + Delimiter to label the boundary of a block of math. In this way the delimiter will scale properly if the block of math occupies more than one line.
Use \begin{array} and \end{array} to specify a block of array
The curly braces after \begin{array} specifies the alignment of each entry in a row. {cr} means the first column is center aligned and the 2nd column is aligned to the right.
Within the array block, & separates the entry in a row, and \\ indicates a new row.

Latex code:

\left(
  \begin{array}{cc}
    2\tau & 7\phi - \frac5{12} \\  
    3\psi & \frac{\pi}8
  \end{array}
\right)
\left(
  \begin{array}{c}
    x \\
    y
  \end{array}
\right)
~\mbox{and}~
\left[
  \begin{array}{cc|r}
    3 & 4 & 5 \\
    1 & 3 & 729
  \end{array}
\right]

Result:

\[ \left( \begin{array}{cc} 2\tau & 7\phi - \frac5{12} \\ 3\psi & \frac{\pi}8 \end{array} \right) \left( \begin{array}{c} x \\ y \end{array} \right) ~\mbox{and}~ \left[ \begin{array}{cc|r} 3 & 4 & 5 \\ 1 & 3 & 729 \end{array} \right] \]

Misc¶

Linebreak¶

Use \\

\begin{align}
x &= 1 \\
y &= 2
\end{align}

\[ \begin{align} x &= 1 \\ y &= 2 \end{align} \]

Alignment¶

Use \begin{align*} and \end{align*} to specify the block that requires alignment; use & to specify the location to be aligned. The '*' after 'align' indicates that this equation will not be numbered.

\begin{align*}
  y &= x + x \\
    &= 2x
\end{align*}

\[ \begin{align*} y &= x + x \\ &= 2x \end{align*} \]

Equation Box¶

\boxed{y = Ax}

\[ \boxed{y = Ax} \]

Equation Numbering¶

Equation block defined with \begin{equation} and \end{equation} will be numbered, while the block defined with \begin{equation*} and \end{equation*} will not. Same syntax applies to \begin{align*}

Spacing¶

1 \, 2
1 \! 2
1 \> 2
1 \; 2
1 \quad 2
1 \qquad 2

\[ \begin{align} & 1 \, 2 \\ & 1 \! 2 \\ & 1 \> 2 \\ & 1 \; 2 \\ & 1 \quad 2 \\ & 1 \qquad 2 \\ \end{align} \]

Entering text¶

use \text

Y(k) = \text{DFT of} \; y(n)

\[ Y(k) = \text{DFT of} \; y(n) \]

Reference¶

Latex Mathematical Symbols