Function
$x \mapsto f (x)$
History of the function concept
Types by domain and codomain
$X \to 𝔹$ $𝔹 \to X$ $𝔹 n \to X$ $X \to ℤ$ $ℤ \to X$ $X \to ℝ$ $ℝ \to X$ $ℝ n \to X$ $X \to ℂ$ $ℂ \to X$ $ℂ n \to X$
Classes/properties
Constant Identity Linear Polynomial Rational Algebraic Analytic Smooth Continuous Measurable Injective Surjective Bijective
Constructions
Restriction Composition λ Inverse
Generalizations
Relation (Binary relation) Set-valued Multivalued Partial Implicit Space Higher-order Morphism Functor
List of specific functions
v t e

Template documentation[view] [edit] [history] [purge]

See also

Math templates

Functions	elementary arithmetic precision val (value formatting) percentage
Numeral systems	{{#invoke:BaseConvert\|XtoY}} binary decimal2Base hex2dec hexadecimal octal quaternary rn roman ternary vigesimal

Conversions

convert	many units (see: list)
cvt	abbreviated {{convert}}
convinfobox	{{convert}} for infoboxes
bbl to t	barrels of oil to tonnes
long ton	long hundredweights, quarters and pounds to kilograms; long tons and hundredweights to pounds and metric tons
miles-chains	miles and chains to kilometres linking "chains"

decdeg	degrees, minutes, and seconds to decimal degrees
deg2dms	decimal degrees to degrees, minutes, and seconds
deg2hms	decimal degrees to hour angle (in hours, minutes, and seconds)
hms2deg	hour angle (in hours, minutes, and seconds) to decimal degrees
inflation	calculate inflation of Consumer Price Index-related prices
pop density	population density in an area
track gauge	railway track gauges

Notation and formatting

bigmath	bigger font to match TeX `\displaystyle` (standalone formulas only)	math	short text-based formulas
mathcal	[mathematical] calligraphic font; alternative to LaTeX `\mathcal{...}`	tombstone	symbol indicating the end of a proof
mvar	individual italicized maths variables in normal text	val	measurement values, uncertainties and units
overline underline	a line set above/below a sequence of characters	vec	various overarrows, underarrows, etc.
abs	absolute values (paired vertical lines)	langle rangle angbr	angular brackets
bra-ket braket bra ket	bra–ket notation	ldelim rdelim	multiline delimiters (2–5 lines inclusive)
ceil, floor	calculations :mw:Help:#expr; formatting indicators ⌈3.14⌉, ⌊3.14⌋ (no calculation performed)	pars	parentheses that can be resized $(\sum)$
fraction	slant fractions 3⁄5 (not for maths/science articles; use standing or upright fractions `{{sfrac}}` instead)	sfrac	"standing" or upright fractions ⁠3/5⁠ (use in maths/science articles instead of`{{fraction}}`)
intmath	integral symbols	sub sup su	subscripts and superscripts
overset underset	arbitrary characters/diacritics set above/below one another
tmath	Wrap TeX in <math> tags

Boxes

Tags

Notices

Boxes	Tags
arithmetic operations calculus Infobox mathematical function functions	metricate undue precision units attention

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