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A function f mapping a set X->X/R (X modulo R), where R is an equivalence relation in X, is called a canonical map.

A function has compact support if it is zero outside of a compact set. Alternatively, one can say that a function has compact support if its support is a compact set. For ...

The process of taking the complement of a set or truth function. In the latter case, complementation is equivalent to the NOT operation.

A derivative of a complex function, which must satisfy the Cauchy-Riemann equations in order to be complex differentiable.

The function f(x)=1-2|x|^(1/2) for x in [-1,1]. The natural invariant is rho(y)=1/2(1-y).

Partial differential equation boundary conditions which give the value of the function on a surface, e.g., T=f(r,t).

The function f(beta,z)|->z^((1+cosbeta+isinbeta)/2), illustrated above for beta=0.4.

An equation involving a function f(x) and integrals of that function to solved for f(x). If the limits of the integral are fixed, an integral equation is called a Fredholm ...

A function f is said to have a lower bound c if c<=f(x) for all x in its domain. The greatest lower bound is called the infimum.

The motion along a phase curve as a function of time (Tabor 1989, p. 14).