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An integer-relation algorithm which is based on a partial sum of squares approach, from which the algorithm takes its name.

A total order (or "totally ordered set," or "linearly ordered set") is a set plus a relation on the set (called a total order) that satisfies the conditions for a partial ...

A recurrence equation (also called a difference equation) is the discrete analog of a differential equation. A difference equation involves an integer function f(n) in a form ...

The Church-Turing thesis (formerly commonly known simply as Church's thesis) says that any real-world computation can be translated into an equivalent computation involving a ...

The integer sequence defined by the recurrence relation P(n)=P(n-2)+P(n-3) (1) with the initial conditions P(0)=P(1)=P(2)=1. This is the same recurrence relation as for the ...

The orthogonal decomposition of a matrix into lower trapezoidal matrices.

The process of finding a reduced set of basis vectors for a given lattice having certain special properties. Lattice reduction algorithms are used in a number of modern ...

The Betti numbers of a compact orientable n-manifold satisfy the relation b_i=b_(n-i).

The relationship x precedes y is written x≺y. The relation x precedes or is equal to y is written x<=y.

The relationship x succeeds (or follows) y is written x≻y. The relation x succeeds or is equal to y is written x>=y.