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A function is a relation that uniquely associates members of one set with members of another set. More formally, a function from A to B is an object f such that every a in A ...
A partial function is a function that is not total.
A zero function is a function that is almost everywhere zero. The function sometimes known as "the zero function" is the constant function with constant c=0, i.e., f(x)=0 ...
For a discrete function f(n), the summatory function is defined by F(n)=sum_(k in D)^nf(k), where D is the domain of the function.
A function whose range is in the complex numbers is said to be a complex function, or a complex-valued function.
A function composed of a set of equally spaced jumps of equal length, such as the ceiling function f(x)=[x], floor function f(x)=|_x_|, or nearest integer function f(x)=[x].
A function which has infinitely many derivatives at a point. If a function is not polygenic, it is monogenic.
y=delta^'(x-a), where delta(x) is the delta function.
A function of more than one variable.
A function f:A->B such that B is a set of numbers.
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