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The rules for the multiplication of quaternions.

A polynomial function of the elements of a vector x can be uniquely decomposed into a sum of harmonic polynomials times powers of |x|.

A database accessed by one or more hash functions.

Two nonsingular forms are equivalent over the rationals iff they have the same determinant and the same p-signatures for all p.

An associative ring, also called a Hecke ring, which has a technical definition in terms of commensurable subgroups.

Given a Euclidean n-space, H_n=n+1.

e is transcendental.

A set of statistical distributions having different variances.

(1) Based on or involving trial and error. (2) Convincing without being rigorous.

A 6-polyabolo.