Search Results for ""

Universal algebra studies common properties of all algebraic structures, including groups, rings, fields, lattices, etc. A universal algebra is a pair A=(A,(f_i^A)_(i in I)), ...

A mathematical statement of the equivalence of two quantities. The equality "A is equal to B" is written A=B.

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.

Three elements x, y and z of a set S are said to be associative under a binary operation * if they satisfy x*(y*z)=(x*y)*z. (1) Real numbers are associative under addition ...

Two elements x and y of a set S are said to be commutative under a binary operation * if they satisfy x*y=y*x. (1) Real numbers are commutative under addition x+y=y+x (2) and ...

A complete bipartite graph, sometimes also called a complete bicolored graph (Erdős et al. 1965) or complete bigraph, is a bipartite graph (i.e., a set of graph vertices ...