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The sequence generated by repeated application of a map. The map is said to have a closed orbit if it has a finite number of elements.

A function periodic with period 2pi such that p(theta+pi)=-p(theta) for all theta is said to be Möbius periodic.

A basis, form, function, etc., in two or more variables is said to be multilinear if it is linear in each variable separately.

A function f:A->B such that B is a set of numbers.

A function that exhibits oscillation (i.e., slope changes) is said to be oscillating, or sometimes oscillatory.

Functions which have derivatives of all orders at all points and which, together with their derivatives, fall off at least as rapidly as |x|^(-n) as |x|->infty, no matter how ...

The image of the path gamma in C under the function f is called the trace. This usage of the term "trace" is unrelated to the same term applied to matrices or tensors.

A point x_0 is said to be a periodic point of a function f of period n if f^n(x_0)=x_0, where f^0(x)=x and f^n(x) is defined recursively by f^n(x)=f(f^(n-1)(x)).

An integral which has neither limit infinite and from which the integrand does not approach infinity at any point in the range of integration.

The word saltus has two different meanings: either a jump or an oscillation of a function.