# Function

[fuhngk-shuh n] /ˈfʌŋk ʃən/

**noun**

1.

the kind of action or activity proper to a person, thing, or institution; the purpose for which something is designed or exists; role.

2.

any ceremonious public or social gathering or occasion.

3.

a factor related to or dependent upon other factors:

Price is a function of supply and demand.

4.

Mathematics.

5.

Geometry.

6.

Grammar.

7.

Sociology. the contribution made by a sociocultural phenomenon to an ongoing social system.

**verb** (used without object)

8.

to perform a specified action or activity; work; operate:

The computer isn’t functioning now. He rarely functions before noon.

9.

to have or exercise a function; serve:

In earlier English the present tense often functioned as a future. This orange crate can function as a chair.

/ˈfʌŋkʃən/

**noun**

1.

the natural action or intended purpose of a person or thing in a specific role: the function of a hammer is to hit nails into wood

2.

an official or formal social gathering or ceremony

3.

a factor dependent upon another or other factors: the length of the flight is a function of the weather

4.

(maths, logic) Also called map, mapping. a relation between two sets that associates a unique element (the value) of the second (the range) with each element (the argument) of the first (the domain): a many-one relation. Symbol: f(x) The value of f(x) for x = 2 is f(2)

**verb** (intransitive)

5.

to operate or perform as specified; work properly

6.

(foll by as) to perform the action or role (of something or someone else): a coin may function as a screwdriver

n.

1530s, “proper work or purpose,” from Middle French fonction (16c.) and directly from Latin functionem (nominative functio) “performance, execution,” **noun** of action from functus, past participle of fungi “perform, execute, discharge,” from PIE root *bheug- (2) “to use, enjoy” (see brook (v.)). Use in mathematics probably begun by Leibnitz (1692).

v.

1856, from function (n.). Related: Functioned; functioning.

function func·tion (fŭngk’shən)

n.

function

(fŭngk’shən)

In mathematics, a quantity whose value is determined by the value of some other quantity. For example, “The yield of this field is a function of the amount of fertilizer applied” means that a given amount of fertilizer will yield an amount of whatever crop is growing.

1. (Or “map”, “mapping”) If D and C are sets (the domain and codomain) then a function f from D to C, normally written “f : D -> C” is a subset of D x C such that:

1. For each d in D there exists some c in C such that (d,c) is an element of f. I.e. the function is defined for every element of D.

2. For each d in D, c1 and c2 in C, if both (d,c1) and (d,c2) are elements of f then c1 = c2. I.e. the function is uniquely defined for every element of D.

See also image, inverse, partial function.

2. Computing usage derives from the mathematical term but is much less strict. In programming (except in functional programming), a function may return different values each time it is called with the same argument values and may have side effects.

A procedure is a function which returns no value but has only side-effects. The C language, for example, has no procedures, only functions. ANSI C even defines a type, void, for the result of a function that has no result.

(1996-09-01)

Tagged: f

Read Also:

- Functionability
[fuhngk-shuh-nuh-buh l] /ˈfʌŋk ʃə nə bəl/ adjective 1. (def 3).

- Functionable
[fuhngk-shuh-nuh-buh l] /ˈfʌŋk ʃə nə bəl/ adjective 1. (def 3).

- Functional
[fuhngk-shuh-nl] /ˈfʌŋk ʃə nl/ adjective 1. of or relating to a or : functional difficulties in the administration. 2. capable of operating or : When will the ventilating system be functional again? 3. having or serving a utilitarian purpose; capable of serving the purpose for which it was designed: functional architecture; a chair that is […]

- Functional-analysis
noun 1. the branch of mathematics that deals with the theory of vector spaces and linear functionals.