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A family composed of countably many locally finite families.

A subring of a ring R is a subgroup of R that is closed under multiplication.

Subtraction is the operation of taking the difference d=x-y of two numbers x and y. Here, x is called the minuend, y is called the subtrahend, and the symbol between the x ...

A mathematical relationship transforming a function f(x) to the form f(x+a).

An error in a statistical test which occurs when a false hypothesis is accepted (a false positive in terms of the null hypothesis).

A cube whose edge lengths are 1. The unit cube therefore has unit volume.

A vector is formally defined as an element of a vector space. In the commonly encountered vector space R^n (i.e., Euclidean n-space), a vector is given by n coordinates and ...

Let H_nu^((iota))(x) be a Hankel function of the first or second kind, let x,nu>0, and define w=sqrt((x/nu)^2-1). Then ...

Written in the notation of partial derivatives, the d'Alembertian square ^2 in a flat spacetime is defined by square ^2=del ^2-1/(c^2)(partial^2)/(partialt^2), where c is the ...

The Riemann zeta function is an extremely important special function of mathematics and physics that arises in definite integration and is intimately related with very deep ...