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单词 direct sum
释义

direct sum

English

Noun

direct sum (plural direct sums)

  1. (mathematics) coproduct in some categories, like abelian groups, topological spaces or modules
  2. (linear algebra) 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.

Translations

Further reading

  • (linear algebra): Direct sum of modules on Wikipedia.Wikipedia
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