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The words random and stochastic are synonymous.

A measure that takes on real values.

A refinement X of a cover Y is a cover such that every element x in X is a subset of an element y in Y.

A relation R on a set S is reflexive provided that xRx for every x in S.

A reflexive relation.

An open connected set is called a region (sometimes also called a domain).

A parameterization of a surface x(u,v) in u and v is regular if the tangent vectors (partialx)/(partialu) and (partialx)/(partialv) are always linearly independent.

Let there be two particularly well-behaved functions F(x) and p_tau(x). If the limit lim_(tau->0)int_(-infty)^inftyp_tau(x)F(x)dx exists, then p_tau(x) is a regular sequence ...

The locus of lines meeting three given skew lines. ("Regulus" is also the name of the brightest star in the constellation Leo.)

One out of a set of identical observations in a given experiment under identical conditions.