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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.

The vertical length of an object from top to bottom.

The boundary of complex hyperbolic 2-space.

A property of a space which is also true of each of its subspaces. Being "first-countable" is hereditary, but having a given genus is not.

A Heronian tetrahedron, also called a perfect tetrahedron, is a (not necessarily regular) tetrahedron whose sides, face areas, and volume are all rational numbers. It ...

A set of statistical distributions having different variances.

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