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direct sum

noun

Definitions

  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 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…

    A block diagonal matrix interpreted as having its non-zero blocks (which are square matrices) as summands.

The neighborhood

Vish — recursive loop

No curated loop yet for direct sum. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA