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Ergodic theory can be described as the statistical and qualitative behavior of measurable group and semigroup actions on measure spaces. The group is most commonly N, R, R-+, ...

The word polytope is used to mean a number of related, but slightly different mathematical objects. A convex polytope may be defined as the convex hull of a finite set of ...

For a single variate X having a distribution P(x) with known population mean mu, the population variance var(X), commonly also written sigma^2, is defined as ...

An algebraic variety over a field K that becomes isomorphic to a projective space.

A cellular space is a T2-space that has the structure of a so-called CW-complex.

A subset of a topological space is called clopen if it is both closed and open.

A subset of a topological space which is compact with respect to the relative topology.

A space of functions comprising a complete biorthogonal system.

A subset A subset= X of a topological space X is said to be disconnected if it is not connected.

The two-dimensional Euclidean space denoted R^2.