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English Dictionary: function by the DICT Development Group
6 results for function
From WordNet (r) 3.0 (2006) [wn]:
  1. (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
    Synonym(s): function, mathematical function, single-valued function, map, mapping
  2. what something is used for; "the function of an auger is to bore holes"; "ballet is beautiful but what use is it?"
    Synonym(s): function, purpose, role, use
  3. the actions and activities assigned to or required or expected of a person or group; "the function of a teacher"; "the government must do its part"; "play its role"
    Synonym(s): function, office, part, role
  4. a relation such that one thing is dependent on another; "height is a function of age"; "price is a function of supply and demand"
  5. a formal or official social gathering or ceremony; "it was a black-tie function"
  6. a vaguely specified social event; "the party was quite an affair"; "an occasion arranged to honor the president"; "a seemingly endless round of social functions"
    Synonym(s): affair, occasion, social occasion, function, social function
  7. a set sequence of steps, part of larger computer program
    Synonym(s): routine, subroutine, subprogram, procedure, function
  1. perform as expected when applied; "The washing machine won't go unless it's plugged in"; "Does this old car still run well?"; "This old radio doesn't work anymore"
    Synonym(s): function, work, operate, go, run
    Antonym(s): malfunction, misfunction
  2. serve a purpose, role, or function; "The tree stump serves as a table"; "The female students served as a control group"; "This table would serve very well"; "His freedom served him well"; "The table functions as a desk"
    Synonym(s): serve, function
  3. perform duties attached to a particular office or place or function; "His wife officiated as his private secretary"
    Synonym(s): officiate, function
From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Function \Func"tion\, n.
      1. (Eccl.) A religious ceremony, esp. one particularly
            impressive and elaborate.
                     Every solemn [lsquo]function' performed with the
                     requirements of the liturgy.               --Card.
      2. A public or social ceremony or gathering; a festivity or
            entertainment, esp. one somewhat formal.
                     This function, which is our chief social event. --W.
                                                                              D. Howells.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Fluent \Flu"ent\, n.
      1. A current of water; a stream. [Obs.]
      2. [Cf. F. fluente.] (Math.) A variable quantity, considered
            as increasing or diminishing; -- called, in the modern
            calculus, the {function} or {integral}.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Function \Func"tion\, n. [L. functio, fr. fungi to perform,
      execute, akin to Skr. bhuj to enjoy, have the use of: cf. F.
      fonction. Cf. {Defunct}.]
      1. The act of executing or performing any duty, office, or
            calling; per formance. [bd]In the function of his public
            calling.[b8] --Swift.
      2. (Physiol.) The appropriate action of any special organ or
            part of an animal or vegetable organism; as, the function
            of the heart or the limbs; the function of leaves, sap,
            roots, etc.; life is the sum of the functions of the
            various organs and parts of the body.
      3. The natural or assigned action of any power or faculty, as
            of the soul, or of the intellect; the exertion of an
            energy of some determinate kind.
                     As the mind opens, and its functions spread. --Pope.
      4. The course of action which peculiarly pertains to any
            public officer in church or state; the activity
            appropriate to any business or profession.
                     Tradesmen . . . going about their functions. --Shak.
                     The malady which made him incapable of performing
                     his regal functions.                           --Macaulay.
      5. (Math.) A quantity so connected with another quantity,
            that if any alteration be made in the latter there will be
            a consequent alteration in the former. Each quantity is
            said to be a function of the other. Thus, the
            circumference of a circle is a function of the diameter.
            If x be a symbol to which different numerical values can
            be assigned, such expressions as x^{2}, 3^{x}, Log. x, and
            Sin. x, are all functions of x.
      {Algebraic function}, a quantity whose connection with the
            variable is expressed by an equation that involves only
            the algebraic operations of addition, subtraction,
            multiplication, division, raising to a given power, and
            extracting a given root; -- opposed to transcendental
      {Arbitrary function}. See under {Arbitrary}.
      {Calculus of functions}. See under {Calculus}.
      {Carnot's function} (Thermo-dynamics), a relation between the
            amount of heat given off by a source of heat, and the work
            which can be done by it. It is approximately equal to the
            mechanical equivalent of the thermal unit divided by the
            number expressing the temperature in degrees of the air
            thermometer, reckoned from its zero of expansion.
      {Circular functions}. See {Inverse trigonometrical functions}
            (below). -- Continuous function, a quantity that has no
            interruption in the continuity of its real values, as the
            variable changes between any specified limits.
      {Discontinuous function}. See under {Discontinuous}.
      {Elliptic functions}, a large and important class of
            functions, so called because one of the forms expresses
            the relation of the arc of an ellipse to the straight
            lines connected therewith.
      {Explicit function}, a quantity directly expressed in terms
            of the independently varying quantity; thus, in the
            equations y = 6x^{2}, y = 10 -x^{3}, the quantity y is an
            explicit function of x.
      {Implicit function}, a quantity whose relation to the
            variable is expressed indirectly by an equation; thus, y
            in the equation x^{2} + y^{2} = 100 is an implicit
            function of x.
      {Inverse trigonometrical functions}, [or] {Circular
      function}, the lengths of arcs relative to the sines,
            tangents, etc. Thus, AB is the arc whose sine is BD, and
            (if the length of BD is x) is written sin ^{-1}x, and so
            of the other lines. See {Trigonometrical function}
            (below). Other transcendental functions are the
            exponential functions, the elliptic functions, the gamma
            functions, the theta functions, etc.
      {One-valued function}, a quantity that has one, and only one,
            value for each value of the variable. -- {Transcendental
      functions}, a quantity whose connection with the variable
            cannot be expressed by algebraic operations; thus, y in
            the equation y = 10^{x} is a transcendental function of x.
            See {Algebraic function} (above). -- {Trigonometrical
      function}, a quantity whose relation to the variable is the
            same as that of a certain straight line drawn in a circle
            whose radius is unity, to the length of a corresponding
            are of the circle. Let AB be an arc in a circle, whose
            radius OA is unity let AC be a quadrant, and let OC, DB,
            and AF be drawnpependicular to OA, and EB and CG parallel
            to OA, and let OB be produced to G and F. E Then BD is the
            sine of the arc AB; OD or EB is the cosine, AF is the
            tangent, CG is the cotangent, OF is the secant OG is the
            cosecant, AD is the versed sine, and CE is the coversed
            sine of the are AB. If the length of AB be represented by
            x (OA being unity) then the lengths of Functions. these
            lines (OA being unity) are the trigonometrical functions
            of x, and are written sin x, cos x, tan x (or tang x), cot
            x, sec x, cosec x, versin x, coversin x. These quantities
            are also considered as functions of the angle BOA.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Function \Func"tion\, Functionate \Func"tion*ate\, v. i.
      To execute or perform a function; to transact one's regular
      or appointed business.

From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
      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.
No guarantee of accuracy or completeness!
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