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Function
x ↦ f (x)
History of the function concept
Types by domain and codomain
X → 𝔹
𝔹 → X
𝔹n → X
X → ℤ
ℤ → X
X → ℝ
ℝ → X
ℝn → X
X → ℂ
ℂ → X
ℂn → 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
Template documentationviewedithistorypurge

See also

Math templates
  • Functions
  • Numeral systems
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
  • overunderline
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 (∑)
    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 symbolssum-int an integral superimposed over a capital sigma
  • 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
  • BoxesTags
    • arithmetic operations
    • calculus
    • Infobox mathematical function
    • functions
    • metricate
    • undue precision
    • units attention
    • Category
    • Module:Math
    source: https://en.wikipedia.org/wiki/Template:Functions
    • This page was last edited on 23 February 2026, at 21:41 (UTC).
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