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A function is in big-theta of f if it is not much worse but also not much better than f, Theta(f(n))=O(f(n)) intersection Omega(f(n)).

A function of two variables is bilinear if it is linear with respect to each of its variables. The simplest example is f(x,y)=xy.

Any continuous function G:B^n->B^n has a fixed point, where B^n={x in R^n:x_1^2+...+x_n^2<=1} is the unit n-ball.

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.

Let g:R->R be a function and let h>0, and define the cardinal series of g with respect to the interval h as the formal series sum_(k=-infty)^inftyg(kh)sinc((x-kh)/h), where ...

The function given by CK_n(x)=cos(nxcos^(-1)x), where n is an integer and -1<x<1.

delta(x-t)=sum_(n=0)^inftyphi_n(x)phi_n(t), where delta(x) is the delta function.

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.