data sheet (Cheatsheet) for LaTeX Math Commands

 Packages 

The main package to load is amsmath. More symbols are included in amssymb.

For text style (inline) math, use: $ . . . $ For display style math, which breaks the paragraph: \begin{equation} . . . \end{equation} (numbered) or \[ . . . \] (non-numbered). 

Greek letters 

α  \alpha                  β \beta                  γ \gamma          

 δ \delta                    \epsilon              ε \varepsilon         

 ζ \zeta                      η \eta                    θ \theta 

ϑ \vartheta               ι \iota                     κ \kappa

 λ \lambda               µ \mu                     ν \nu 

ξ \xi                          π \pi                        $ \varpi 

ρ \rho                       ρ \varrho                  σ \sigma 

τ \tau                           υ \upsilon               φ \phi ϕ 

 \varphi                     χ \chi                        ψ \psi  

 ω \omega                  Γ \Gamma                ∆ \Delta 

 Θ \Theta                   Λ \Lambda               Ξ \Xi 

  Π \Pi                         Σ \Sigma                  Υ \Upsilon 

 Φ \Phi                      Ψ \Psi                         Ω \Omega

Mathematical font A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

 \mathcal{ letter }

Superscript & Subscript 

x y x^y x a+b x^{a+b} xy x_y xa+b x_{a+b}

Root Square root        √ x        \sqrt{x}        

 N-th root              N√ x            \sqrt[N]{x}

Dots Multiplication 

dot · \cdot            

Three centered dots · · · \cdots 

Three baseline dots . . . \ldots 

Three diagonal dots . . . \ddots 

Three vertical dots . . . \vdots 

Spaces Negative space \! 

Thinnest space \, 

Thin space \: Medium space \; 1em space \quad 2em space \qquad

Operators     \sin \cos \arcsin \arccos \sinh \cosh \tan \arctan \log \ln \max \min \sup \inf \tanh \cot \sec \csc \det 

To define a custom operator: \DeclareMathOperator{\argmax}{argmax}

Fractions 

 \frac{ . . . }{ . . . }

Big operators

Delimiter size Change the delimiter size by adding one of these modifiers immediately before the delimiter itself: \big \Big \bigg \Bigg Let LATEX determine the correct size using \left and \right immediately before the opening and closing delimiters, respectively

Use starred variants \abs* and \norm* to produce the correct delimiter height for any kind of equation.

Arrays Use the array environment. Use \\ to separate rows, and & to separate elements of each row. To produce large delimiters around the array, use \left and \right followed by the desired delimiter.

Cases Use the cases environment. Use \\ to separate different cases, and & for correct alignment.