LaTex Basic Math Formulas Quick Reference Table

type

status

date

slug

summary

Formula Formatting

latex formula syntax, $ in-line formula $ , \ [in-line \]

Latex italic and rectilinear (Roman)

Except for formulas all other Roman, formula in the constant also use Roman

Alphabets

Greek letters

Syntax: \ corresponds to the Greek alphabet in English

More: ‣

Superscript

Superscript syntax: a^x

Subscript syntax: a_x

Note: Increase parentheses for complex subscripts

Fractions and Radicals

Fractional syntax: \frac{numerator}{denominator}

Root Syntax: \sqrt[how many times to square]{what's in root}

Notes:

Numerators or denominators that are too simple may not have parentheses.

Root formulas can be omitted if they are too simple.

Quadratic formulas can be omitted

There is a difference in the output of fractions in interlinear and intralinear formulas. If you want to force the fractions in inline mode to be displayed at the size of the interline mode, you can use \dfrac, and vice versa with \tfrac.

To write fractions in inline mode, you may like the effect of the \sfrac command provided by the \xfrac macro package.

To typeset complex fractions, you should use the \cfrac command.

Common Symbols

Basic operators

Set and logical symbols

Mathematical Operations

Fractional Symbols

Large symbols

Limits

Syntax: \lim{x \to 0}

\lim\limits_{x \to 0}

Integral

Syntax: \int_{lower limit of integration}^ upper limit of integration f(x)\,\text d x

Number of steps

Syntax: \sum_{i=0}^n x_i

\sum\limits_{i=0}^n x_i

Note: You can use \limits to force the limit up and down when fractionalizing a

Vector

Matrix

Other Symbols

Arrows

Parentheses and delimiters

Brackets

Aligning Multi-Line Formulas

Practice Formulas

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