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Let the sum of the squares of the digits of a positive integer s_0 be represented by s_1. In a similar way, let the sum of the squares of the digits of s_1 be represented by ...

The smallest nontrivial taxicab number, i.e., the smallest number representable in two ways as a sum of two cubes. It is given by 1729=1^3+12^3=9^3+10^3. The number derives ...

A right-angled parallelepiped with dimensions a×ab×abc, where a, b, and c are integers.

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.

The head of a vector AB^-> is the endpoint B, i.e., the point at which the arrow is placed.

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

A 100-sided polygon, virtually indistinguishable in appearance from a circle except at very high magnification.

The vertical length of an object from top to bottom.