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LaTeX is a high-quality typesetting system; it includes features designed for the production of technical and scientific documentation. LaTeX is the de facto standard for the communication and publication of scientific documents.

For now, we will focus just on writing math equations inside of a Markdown file or a jupyter notebook cell.

In most Markdown editors, you write a math equation inside two single dollar signs $eqt$ , or double dollar signs

$$
eqt
$$

Operators

\cos (2\theta) = \cos^2 \theta - \sin^2 \theta

$\cos (2 θ) = \cos^{2} θ - \sin^{2} θ$

limits

\lim_{x \to \infty} \exp(-x) = 0

$lim_{x \to \infty} \exp (- x) = 0$

Powers and indices

n^{22}

$n^{22}$

f(n) = n^5 + 4n^2 + 2 |_{n=17}

$f (n) = n^{5} + 4 n^{2} + 2 |_{n = 17}$

Fractions and Binomials

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

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

\frac{\frac{1}{x}+\frac{1}{y}}{y-z}

$\frac{\frac{1}{x} + \frac{1}{y}}{y - z}$

Sums and integrals

\sum_{i=1}^{10} t_i

$\sum_{i = 1}^{10} t_{i}$

\displaystyle\sum_{i=1}^{10} t_i

$\sum_{i = 1}^{10} t_{i}$

\int_0^\infty \mathrm{e}^{-x}\,\mathrm{d}x

$\int_{0}^{\infty} e^{- x} d x$

\sum_{\substack{
   0<i<m \\
   0<j<n
  }} 
 P(i,j)

$\sum_{\begin{matrix} 0 < i < m 0 < j < n \end{matrix}} P (i, j)$

Brackets, braces and delimiters

( a ), [ b ], \{ c \}, | d |, \| e \|,
\langle f \rangle, \lfloor g \rfloor,
\lceil h \rceil, \ulcorner i \urcorner

$(a), [b], c, | d |, | e |, ⟨ f ⟩, ⌊ g ⌋, ⌈ h ⌉, ⌜ i ⌝$

Manual sizing

( \big( \Big( \bigg( \Bigg( word \Bigg)  \bigg) \Big) \big) )

$(((((w o r d)))))$

\frac{\mathrm d}{\mathrm d x} \left( k g(x) \right)

$\frac{d}{d x} (k g (x))$

Color

k = {\color{red}x} \mathbin{\color{blue}-} 2

$k = x - 2$

Manually Specifying Formula Style

\begin{equation}
   C^i_j = {\textstyle \sum_k} A^i_k B^k_j
\end{equation}

$C_{j}^{i} = \sum_{k} A_{k}^{i} B_{j}^{k}$

\newcommand{\tsum}[1]{{\textstyle \sum_{#1}}}

$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

\begin{equation}
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
\end{equation}

List of mathematical symbols

Trigonometric Functions

Symbol	Script	Symbol	Script	Symbol	Script	Symbol	Script
$\sin$	`\sin`	$\arcsin$	`\arcsin`	$\sinh$	`\sinh`	$\sec$	`\sec`
$\cos$	`\cos`	$\arccos$	`\arccos`	$\cosh$	`\cosh`	$\csc$	`\csc`
$\tan$	`\tan`	$\arctan$	`\arctan`	$\tanh$	`\tanh`	$\cot$	`\cot`

Other Symbols

Symbol	Script	Symbol	Script	Symbol	Script	Symbol	Script	Symbol	Script
$\partial$	`\partial`	$ı$	`\imath`	$ℜ$	`\Re`	$\nabla$	`\nabla`	$ℵ$	`\aleph`
$ð$	`\eth`	$j m a t h$	`\jmath`	$ℑ$	`\Im`	$◻$	`\Box`	$ℶ$	`\beth`
$ℏ$	`\hbar`	$ℓ$	`\ell`	$℘$	`\wp`	$\infty$	`\infty`	$ℷ$	`\gimel`

Greek Letters

Symbol	Script	Symbol	Script
A and $α$	A and `\alpha`	N and $ν$	N and `\nu`
B and $β$	B and `\beta`	$Ξ$ and $ξ$	`\Xi` and `\xi`
$Γ$ and $γ$	`\Gamma` and `\gamma`	O and o	`O` and `o`
$Δ$ and $δ$	`\Delta` and `\delta`	$Π$ , $π$ , and $ϖ$	`\Pi`, `\pi` and `\varpig`
E, $ϵ$ , and $ε$	E, `\epsilon`, and `\varepsilon`	P, $ρ$ and $ϱ$	P, `\rho` and `\varrho`
Z and $ζ$	Z and `\zeta`	$Σ$ , $σ$ and $ς$	`\Sigma`, `\sigma` and `\varsigma`
H and $η$	H and `\eta`	T and $τ$	T and `\tau`
$Θ$ , $θ$ and $ϑ$	`\Theta`, `\theta` and `\vartheta`	$Υ$ and $υ$	`\Upsilon` ,`\upsilon`
I and $ι$	I and `\iota`	$Φ$ , $ϕ$ and $φ$	`\Phi`, `\phi` and `\varphi`
K, $κ$ , $ϰ$	K, `\kappa`, `\varkappa`	X, $χ$	X, `\chi`
$Λ$ , $λ$	`\Lambda`, `\lambda`	$Ψ$ , $ψ$	`\Psi`, `\psi`
M, $μ$	M, `\mu`	$Ω$ , $ω$	`\Omega`, `\omega`

Delimeters

Symbol	Script	Symbol	Script	Symbol	Script
$↑$	`\uparrow`	${$	`\{`	$}$	`\}`
$↓$	`\downarrow`	$⇑$	`\Uparrow`	$⇓$	`\Downarrow`

Relation Symbols

Symbol	Script	Symbol	Script	Symbol	Script	Symbol	Script	Symbol	Script
$<$	`<`	$>$	`>`	$=$	`=`	$∥$	`\parallel`	$∦$	`\nparallel`
$\leq$	`\leq`	$\geq$	`\geq`	$≐$	`\doteq`	$≍$	`\asymp`	$⋈$	`\bowtie`
$≪$	`\ll`	$≫$	`\gg`	$\equiv$	`\equiv`	$⊢$	`\vdash`	$⊣$	`\dashv`
$\subset$	`\subset`	$\supset$	`\supset`	$\approx$	`\approx`	$\in$	`\in`	$∋$	`\ni`
$⊏$	`\sqsubset`	$⊐$	`\sqsupset`	$\sim$	`\sim`	$⊥$	`\perp`	$∣$	`\mid`
$⊑$	`\sqsubseteq`	$⊒$	`\sqsupseteq`	$\propto$	`\propto`	$≺$	`\prec`	$≻$	`\succ`
$⪯$	`\preceq`	$⪰$	`\succeq`	$\neq$	`\neq`	$∢$	`\sphericalangle`	$∡$	`\measuredangle`

Binary Operations

Symbol	Script	Symbol	Script	Symbol	Script	Symbol	Script
$\pm$	`\pm`	$\cap$	`\cap`	$⋄$	`\diamond`	$\oplus$	`\oplus`
$\mp$	`\mp`	$\cup$	`\cup`	$△$	`\bigtriangleup`	$⊖$	`\ominus`
$\times$	`\times`	$⊎$	`\uplus`	$◃$	`\triangleleft`	$\otimes$	`\otimes`
$*$	`\ast`	$⊓$	`\sqcap`	$▽$	`\triangledown`	$⊙$	`\dot`
$⋆$	`\star`	$\lor$	`\vee`	$◯$	`\bigcirc`	$\circ$	`\circ`
$†$	`\dagger`	$\land$	`\wedge`	$∙$	`\bullet`	$∖$	`\setminus`
$‡$	`\ddagger`	$\cdot$	`\cdot`	$≀$	`\wr`	$⨿$	`\amalg`

Math Latex Examples

$L A T E X$

Operators

limits

Powers and indices

Fractions and Binomials

Sums and integrals

Brackets, braces and delimiters

Manual sizing

Color

Manually Specifying Formula Style

List of mathematical symbols

Trigonometric Functions

Other Symbols

Greek Letters

Delimeters

Relation Symbols

Binary Operations

References

LATEXLATEX

Operators

limits

Powers and indices

Fractions and Binomials

Sums and integrals

Brackets, braces and delimiters

Manual sizing

Color

Manually Specifying Formula Style

List of mathematical symbols

Trigonometric Functions

Other Symbols

Greek Letters

Delimeters

Relation Symbols

Binary Operations

References

$L A T E X$