Math
Typst has special syntax and library functions to typeset
mathematical formulas. Math formulas can be displayed inline with text or as
separate blocks. They will be typeset into their own block if they start and end
with at least one space (e.g. $ x^2 $).
Variables
In math, single letters are always displayed as is. Multiple letters, however, are interpreted as variables and functions. To display multiple letters verbatim, you can place them into quotes and to access single letter variables, you can use the hash syntax.
$ A = pi r^2 $
$ "area" = pi dot "radius"^2 $
$ cal(A) :=
{ x in RR | x "is natural" } $
#let x = 5
$ #x < 17 $

Symbols
Math mode makes a wide selection of symbols like pi,
dot, or RR available. Many mathematical symbols are available in different
variants. You can select between different variants by applying
modifiers to the symbol. Typst further recognizes a number of
shorthand sequences like => that approximate a symbol. When such a shorthand
exists, the symbol's documentation lists it.
$ x < y => x gt.eq.not y $

Line Breaks
Formulas can also contain line breaks. Each line can contain one or multiple
alignment points (&) which are then aligned.
$ sum_(k=0)^n k
&= 1 + ... + n \
&= (n(n+1)) / 2 $

Function calls
Math mode supports special function calls without the hash prefix. In these "math calls", the argument list works a little differently than in code:
- Within them, Typst is still in "math mode". Thus, you can write math directly into them, but need to use hash syntax to pass code expressions (except for strings, which are available in the math syntax).
- They support positional and named arguments, as well as argument spreading.
- They don't support trailing content blocks.
- They provide additional syntax for 2-dimensional argument lists. The semicolon
(
;) merges preceding arguments separated by commas into an array argument.
$ frac(a^2, 2) $
$ vec(1, 2, delim: "[") $
$ mat(1, 2; 3, 4) $
$ mat(..#range(1, 5).chunks(2)) $
$ lim_x =
op("lim", limits: #true)_x $

To write a verbatim comma or semicolon in a math call, escape it with a backslash. The colon on the other hand is only recognized in a special way if directly preceded by an identifier, so to display it verbatim in those cases, you can just insert a space before it.
Functions calls preceded by a hash are normal code function calls and not affected by these rules.
Alignment
When equations include multiple alignment points (&), this creates blocks of
alternatingly right- and left-aligned columns. In the example below, the
expression (3x + y) / 7 is right-aligned and = 9 is left-aligned. The word
"given" is also left-aligned because && creates two alignment points in a row,
alternating the alignment twice. & & and && behave exactly the same way.
Meanwhile, "multiply by 7" is right-aligned because just one & precedes it.
Each alignment point simply alternates between right-aligned/left-aligned.
$ (3x + y) / 7 &= 9 && "given" \
3x + y &= 63 & "multiply by 7" \
3x &= 63 - y && "subtract y" \
x &= 21 - y/3 & "divide by 3" $

Math fonts
You can set the math font by with a show-set rule as demonstrated below. Note that only special OpenType math fonts are suitable for typesetting maths.
#show math.equation: set text(font: "Fira Math")
$ sum_(i in NN) 1 + i $

Math module
All math functions are part of the math module, which
is available by default in equations. Outside of equations, they can be accessed
with the math. prefix.
Accessibility
To make math accessible, you must provide alternative descriptions of equations
in natural language using the alt parameter of
math.equation. For more information, see the Textual
Representations section of the Accessibility
Guide.
#math.equation(
alt: "d S equals delta q divided by T",
$ d "S" = (delta q) / T $,
)

In the future, Typst will automatically make equations without alternative descriptions accessible in HTML and PDF 2.0 export.
Definitions
-
accentAttaches an accent to a base. - attach Subscript, superscripts, and limits.
-
binomA binomial expression. -
cancelDisplays a diagonal line over a part of an equation. -
casesA case distinction. -
classForced use of a certain math class. -
equationA mathematical equation. -
fracA mathematical fraction. - lr Delimiter matching.
-
matA matrix. -
opA text operator in an equation. -
primesGrouped primes. - roots Square and non-square roots.
- sizes Forced size styles for expressions within formulas.
-
stretchStretches a glyph. - styles Alternate letterforms within formulas.
- underover Delimiters above or below parts of an equation.
- variants Alternate typefaces within formulas.
-
vecA column vector.