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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.

In the fields of functional and harmonic analysis, the Littlewood-Paley decomposition is a particular way of decomposing the phase plane which takes a single function and ...

A normalizer of a nontrivial Sylow p-subgroup of a group G.

A locally finite space is one for which every point of a given space has a neighborhood that meets only finitely many elements of any cover.

A generalization of a Heyting algebra which replaces Boolean algebra in "intuitionistic" logic.

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

The main diagonal of a square matrix can be extracted in the Wolfram Language using Tr[m, List].

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 ...

Let S be partitioned into r×s disjoint sets E_i and F_j where the general subset is denoted E_i intersection F_j. Then the marginal probability of E_i is ...