direct sum
direct sum · direct sums
Coproduct in some categories, like abelian groups, topological spaces or modulesCoproduct in some categories, like abelian groups, topological spaces or modules
Meaning
3 sensesCoproduct in some categories, like abelian groups, topological spaces or modules
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.
A block diagonal matrix interpreted as having its non-zero blocks (which are square matrices) as summands.
More definitions
- a union of two disjoint sets in which every element is the sum of an element from each of the disjoint sets
Translations
1 languagesForms
plural: direct sums| Singular | direct sum |
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regular