Constant Function

In mathematics, a constant function is a function whose values do not vary and thus are constant. For example the function f(x) = 4 is constant since f maps any value to 4. More formally, a function f : AB is a constant function if f(x) = f(y) for all x and y in A.

Every empty function is constant, vacuously, since there are no x and y in A for which f(x) and f(y) are different when A is the empty set.

In the context of polynomial functions, a non-zero constant function is called a polynomial of degree zero.

A function is said to be identically zero if it takes the value 0 for every argument; it is then trivially a constant function.

Read more about Constant Function:  Properties

Famous quotes containing the words constant and/or function:

    The Mind that lies fallow but a single Day, sprouts up in Follies that are only to be killed by a constant and assiduous Culture.
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    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)