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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].

The Möbius function is a number theoretic function defined by mu(n)={0 if n has one or more repeated prime factors; 1 if n=1; (-1)^k if n is a product of k distinct primes, ...

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.

An apodization function similar to the Bartlett function.

Bracewell's term for the rectangle function.

A function that has a natural boundary.

A function whose range is in the real numbers is said to be a real function, also called a real-valued function.