Description

Cheatsheet for LaTex, using Markdown for markup.

To enable $\LaTeX{}$ in Jekyll follow this tutorial.

Further Reference and source: ftp://ftp.ams.org/pub/tex/doc/amsmath/short-math-guide.pdf

For inline expression use either \$ 1/x^{2} \$ which will render to $ 1/x^{2} $ or use $$ 1/x^{2} $$ which also renders to $1/x^{2}$ .

For block expression use \\[ \frac{1}{n^{2}} \\] or $$ a * b = c ^ b $$ in a new line.

\[ \frac{1}{n^{2}} \]

$a * b = c ^ b$

Sample Sentence
… a given wire happens to be carrying $\lvert 0\rangle$ . By that we mean that it’s carrying the linear combination $\begin{pmatrix} 1 \\ 0 \end{pmatrix}$ …

Example expressions / functions

Input	Rendered
`$$ a = b + c − d $$`	$a = b + c − d$
`$$ \sqrt{?\frac{\pi}{2}} $$`	$\sqrt{\frac{\pi}{2}}$
`$$ y = a x_1^2 + b x_2 + c $$`	$y = a x_1^2 + b x_2 + c$
`$$ a * b = c ^ b $$`	$a * b = c ^ b$
`$$ 2^{\frac{n-1}{3}} $$`	$2^{\frac{n-1}{3}}$
`$$ \int_{a}^b f(x)dx $$`	$\int_{a}^b f(x)dx$

Example LateX Derivatives, Limits, Sums, Products and Integrals

Partial firt order derivative $$\frac{\partial f}{\partial x}$$ : $\frac{\partial f}{\partial x}$

Limit at plus infinity $$\lim_{x \to +\infty} f(x)$$ : $\lim_{x \to +\infty} f(x)$

Sum off n first integers $$\sum_{i=1}^n i^2 = \frac{n(n+1)(2n+1)}{6}$$ : $\sum_{i=1}^n i^2 = \frac{n(n+1)(2n+1)}{6}$

Product with limits $$\prod\limits_{j=1}^k A_{\alpha_j}$$ : $\prod\limits_{j=1}^k A_{\alpha_j}$

Integral limits $$\int_{a}^b f(x)dx$$ : $\int_{a}^b f(x)dx$

For more on LateX Derivatives, Limits, Sums, Products and Integrals.

Example Matrices

Create a matrix without brackets: $$\begin{matrix} a & b \\ c & d \end{matrix}$$ : $\begin{matrix} a & b \\ c & d \end{matrix}$

Create a matrix with round brackets: $$\begin{pmatrix} a & b \\ c & d \end{pmatrix}$$ : $\begin{pmatrix} a & b \\ c & d \end{pmatrix}$

Create a matrix with square brackets: $$\begin{bmatrix} 1 & 2 & 1 \\ 3 & 0 & 1 \\ 0 & 2 & 4 \end{bmatrix}$$ : $\begin{bmatrix} 1 & 2 & 1 \\ 3 & 0 & 1 \\ 0 & 2 & 4 \end{bmatrix}$

Use \left and \right to enclose an arbitrary expression in brackets: $$\left( \frac{p}{q} \right)$$ : $\left( \frac{p}{q} \right)$

For more on LateX Matrices.

Special characters / Symbols

Latin:

No dot:

$$\imath$$ $\rightarrow$ $\imath$
$$\jmath$$ $\rightarrow$ $\jmath$

Hat:

$$\hat{\imath}$$ $\rightarrow$ $\hat{\imath}$
$$\hat{\jmath}$$ $\rightarrow$ $\hat{\jmath}$

Greek Letters:

Capital:

LaTex		LaTex
`$$\Gamma$$`	$\Gamma$	`$$\Delta$$`	$\Delta$
`$$\Lambda$$`	$\Lambda$	`$$\Phi$$`	$\Phi$
`$$\Pi$$`	$\Pi$	`$$\Psi$$`	$\Psi$
`$$\Sigma$$`	$\Sigma$	`$$\Theta$$`	$\Theta$
`$$\Upsilon$$`	$\Upsilon$	`$$\Xi$$`	$\Xi$
`$$\Omega$$`	$\Omega$

Lowercase:

LaTex		LaTex
`$$\alpha$$`	$\alpha$	`$$\nu$$`	$\nu$
`$$\beta$$`	$\beta$	`$$\kappa$$`	$\kappa$
`$$\gamma$$`	$\gamma$	`$$\lambda$$`	$\lambda$
`$$\delta$$`	$\delta$	`$$\mu$$`	$\mu$
`$$\epsilon`	$\epsilon$	`$$\zeta$$`	$\zeta$
`$$\eta$$`	$\eta$	`$$\theta$$`	$\theta$
`$$\iota$$`	$\iota$	`$$\xi$$`	$\xi$
`$$\pi$$`	$\pi$	`$$\rho$$`	$\rho$
`$$\sigma$$`	$\sigma$	`$$\tau$$`	$\tau$
`$$\upsilon$$`	$\upsilon$	`$$\phi$$`	$\phi$
`$$\chi$$`	$\chi$	`$$\psi$$`	$\psi$
`$$\omega$$`	$\omega$

Other:

LaTex		LaTex
`$$\digamma$$`	$\digamma$	`$$\varepsilon$$`	$\varepsilon$
`$$\varkappa$$`	$\varkappa$	`$$\varphi$$`	$\varphi$
`$$\varpi$$`	$\varpi$	`$$\varrho$$`	$\varrho$
`$$\varsigma$$`	$\varsigma$	`$$\vartheta$$`	$\vartheta$
`$$\eth$$`	$\eth$	`$$\hbar$$`	$\hbar$

Other:

Other Symbols

LaTex		LaTex
`$$\partial$$`	$\partial$	`$$\infty$$`	$\infty$
`$$\wedge$$`	$\wedge$	`$$\vee$$`	$\vee$
`$$\neg$$`	$\neg$	`$$\not$$`	$\not$
`$$\bot$$`	$\bot$	`$$\top$$`	$\top$
`$$\nabla$$`	$\nabla$	`$$\varnothing$$`	$\varnothing$
`$$\angle$$`	$\angle$	`$$\measuredangle$$`	$\measuredangle$
`$$\surd$$`	$\surd$	`$$\forall$$`	$\forall$
`$$\exists$$`	$\exists$	`$$\nexists$$`	$\nexists$

Relational Symbols

LaTex		LaTex
`$$\hookrightarrow$$`	$\hookrightarrow$	`$$\Rightarrow$$`	$\Rightarrow$
`$$\rightarrow$$`	$\rightarrow$	`$$\Leftrightarrow$$`	$\Leftrightarrow$
`$$\nrightarrow$$`	$\nrightarrow$	`$$\mapsto$$`	$\mapsto$
`$$\geq$$`	$\geq$	`$$\leq$$`	$\leq$
`$$\equiv$$`	$\equiv$	`$$\sim$$`	$\sim$
`$$\gg$$`	$\gg$	`$$\ll$$`	$\ll$
`$$\subset$$`	$\subset$	`$$\subseteq$$`	$\subseteq$
`$$\in$$`	$\in$	`$$\notin$$`	$\notin$
`$$\mid$$`	$\mid$	`$$\propto$$`	$\propto$
`$$\perp$$`	$\perp$	`$$\parallel$$`	$\parallel$
`$$\vartriangle$$`	$\vartriangle$

Binary operators

LaTex		LaTex
`$$\wedge$$`	$\wedge$	`$$\vee$$`	$\vee$
`$$\neg$$`	$\neg$	`$$\not$$`	$\not$

Cumulative operators

LaTex		LaTex
`$$\int$$`	`$$\int$$`	`$$\iint$$`	$\iint$
`$$\iiint$$`	`$$\iiint$$`	`$$\idotsint$$`	$\idotsint$
`$$\prod$$`	`$$\prod$$`	`$$\sum$$`	$\sum$
`$$\bigcup$$`	`$$\bigcup$$`	`$$\bigcap$$`	$\bigcap$

Named operators

$$\arccos$$ $\rightarrow$ $\arccos$
$$\arcsin$$ $\rightarrow$ $\arcsin$
$$\arctan$$ $\rightarrow$ $\arctan$
$$\arg$$ $\rightarrow$ $\arg$
$$\cos$$ $\rightarrow$ $\cos$
$$\cosh$$ $\rightarrow$ $\cosh$
$$\cot$$ $\rightarrow$ $\cot$
$$\coth$$ $\rightarrow$ $\coth$
$$\deg$$ $\rightarrow$ $\deg$
$$\det$$ $\rightarrow$ $\det$
$$\dim$$ $\rightarrow$ $\dim$
$$\exp$$ $\rightarrow$ $\exp$
$$\gcd$$ $\rightarrow$ $\gcd$
$$\hom$$ $\rightarrow$ $\hom$
$$\inf$$ $\rightarrow$ $\inf$
$$\injlim$$ $\rightarrow$ $\injlim$
$$\lg$$ $\rightarrow$ $\lg$
$$\lim$$ $\rightarrow$ $\lim$
$$\liminf$$ $\rightarrow$ $\liminf$
$$\limsup$$ $\rightarrow$ $\limsup$
$$\ln$$ $\rightarrow$ $\ln$
$$\log$$ $\rightarrow$ $\log$
$$\max$$ $\rightarrow$ $\max$
$$\min$$ $\rightarrow$ $\min$
$$\Pr$$ $\rightarrow$ $\Pr$
$$\projlim$$ $\rightarrow$ $\projlim$
$$\sec$$ $\rightarrow$ $\sec$
$$\sin$$ $\rightarrow$ $\sin$
$$\sinh$$ $\rightarrow$ $\sinh$
$$\sup$$ $\rightarrow$ $\sup$