direct sum

名词 n.

英文释义

名词 n.
  1. coproduct in some categories, like abelian groups, topological spaces or modules
  2. 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.
  3. A block diagonal matrix interpreted as having its non-zero blocks (which are square matrices) as summands.

词形变化

direct sums plural
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