What is function?

  • (verb): Perform as expected when applied.
    Synonyms: work, operate, go, run
    See also — Additional definitions below

Some articles on functions, function:

Integral - Methods - Numerical Quadrature
... Some integrals cannot be found exactly, some require special functions which themselves are a challenge to compute, and others are so complex that finding the exact answer is too slow ... the integration range into, say, 16 equal pieces, and computes function values ... Spaced function values x −2.00 −1.50 −1.00 −0.50 0.00 0.50 1.00 1.50 2.00 f(x) 2.22800 2.45663 2.67200 2.32475 0.64400 −0.92575 −0.94000 −0.16963 0.8 ...
Integral - Fundamental Theorem of Calculus
... that differentiation and integration are inverse operations if a continuous function is first integrated and then differentiated, the original function is retrieved ... by using an antiderivative of the function to be integrated ...
Integral - Extensions - Multiple Integration
... In general, an integral over a set E of a function f is written Here x need not be a real number, but can be another suitable quantity, for instance, a vector in R3 ... Just as the definite integral of a positive function of one variable represents the area of the region between the graph of the function and the x-axis, the double integral ... The same volume can be obtained via the triple integral — the integral of a function in three variables — of the constant function f(x, y, z) = 1 over the above ...

More definitions of "function":

  • (noun): What something is used for.
    Example: "The function of an auger is to bore holes"
    Synonyms: purpose, role, use
  • (noun): A mathematical relation such that each element of one set is associated with at least one element of another set.
    Synonyms: mathematical function
  • (verb): Perform duties attached to a particular office or place or function.
    Synonyms: officiate
  • (noun): The actions and activities assigned to or required or expected of a person or group.
    Example: "The function of a teacher"
    Synonyms: office, part, role
  • (verb): Serve a purpose, role, or function.
    Synonyms: serve
  • (noun): A formal or official social gathering or ceremony.
    Example: "It was a black-tie function"
  • (noun): A relation such that one thing is dependent on another.
    Example: "Height is a function of age"; "price is a function of supply and demand"

Famous quotes containing the word function:

    It is not the function of our Government to keep the citizen from falling into error; it is the function of the citizen to keep the Government from falling into error.
    Robert H. [Houghwout] Jackson (1892–1954)

    The function of muscle is to pull and not to push, except in the case of the genitals and the tongue.
    Leonardo Da Vinci (1425–1519)

    The uses of travel are occasional, and short; but the best fruit it finds, when it finds it, is conversation; and this is a main function of life.
    Ralph Waldo Emerson (1803–1882)