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A transformation which has only trivial invariant subsets is said to be ergodic.

A grouping of statistics.

A multivariate polynomial (i.e., a polynomial in more than one variable) with all terms having the same degree. For example, x^3+xyz+y^2z+z^3 is a homogeneous polynomial of ...

Oriented in position perpendicular to up-down, and therefore parallel to a flat surface.

An element B of a ring is nilpotent if there exists a positive integer k for which B^k=0.

If (sinalpha)/(sinbeta)=m/n, then (tan[1/2(alpha-beta)])/(tan[1/2(alpha+beta)])=(m-n)/(m+n).

An algebra S^' which is part of a large algebra S and shares its properties.

A finite division algebra is a field.

A labeled graph whose nodes are indexed by the generators of a Coxeter group having (P_i,P_j) as an graph edge labeled by M_(ij) whenever M_(ij)>2, where M_(ij) is an element ...

The Jacobsthal polynomials are the W-polynomial obtained by setting p(x)=1 and q(x)=2x in the Lucas polynomial sequence. The first few Jacobsthal polynomials are J_1(x) = 1 ...