direct sum (English, noun)
expansion: direct sum (plural direct sums)
Senses:
topics: mathematics
sciences
glosses: coproduct in some categories, like abelian groups, topological spaces or modules
topics: linear-algebra
mathematics
sciences
glosses: A linear sum in which the intersection of the summands has dimension zero. Equivalently, a linear sum of two subspaces, any vector of which can be expressed uniquely as a sum of two vectors: one vector belonging to the first subspace, and the other vector belonging to the second subspace.
topics: linear-algebra
mathematics
sciences
glosses: A block diagonal matrix interpreted as having its non-zero blocks (which are square matrices) as summands.
Forms:
form: direct sums
tags: plural