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Let (a)_i and (b)_i be sequences of complex numbers such that b_j!=b_k for j!=k, and let the lower triangular matrices F=(f)_(nk) and G=(g)_(nk) be defined as ...

The map which assigns every member of a set A to the same element id_A. It is identical to the identity function.

A set A of integers is recursively isomorphic to set B if there is a bijective recursive function f such that f(A)=B.

The sequency k of a Walsh function is defined as half the number of zero crossings in the time base.

The property intf(y)delta(x-y)dy=f(x) obeyed by the delta function delta(x).

The study of valuations which simplifies class field theory and the theory of function fields.

For |z|<1, product_(k=1)^infty(1+z^k)=product_(k=1)^infty(1-z^(2k-1))^(-1). (1) Both of these have closed form representation 1/2(-1;z)_infty, (2) where (a;q)_infty is a ...

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

A global maximum, also known as an absolute maximum, the largest overall value of a set, function, etc., over its entire range. It is impossible to construct an algorithm ...

A global minimum, also known as an absolute minimum, is the smallest overall value of a set, function, etc., over its entire range. It is impossible to construct an algorithm ...