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An operator L^~ is said to be linear if, for every pair of functions f and g and scalar t, L^~(f+g)=L^~f+L^~g and L^~(tf)=tL^~f.

Dini Derivative, Lower Left Dini Derivative, Upper Left Dini Derivative, Upper Right Dini Derivative

A function used to study ordinary differential equations.

A function f which may (but does not necessarily) associate a given member of the range of f with more than one member of the domain of f. For example, trigonometric ...

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 set considered together with the sigma-algebra on the set.

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 mathematical object upon which an operator acts. For example, in the expression 1×2, the multiplication operator acts upon the operands 1 and 2.