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词汇 direct sum
释义

Definition of direct sum in English:

direct sum

noun
Mathematics
  • A set regarded formally as the sum of sets X₁,…,Xₙ, consisting of ordered n-tuples (x₁,…,xₙ), where xi ∈ Xi, and distinguished from a direct product only in the case of an infinite number of sets, the direct sum consisting only of sequences containing a finite number of non-zero elements.

Origin

Early 20th century; earliest use found in Proceedings of the London Mathematical Society.

Definition of direct sum in US English:

direct sum

noun
Mathematics
  • A set regarded formally as the sum of sets X₁,…,Xₙ, consisting of ordered n-tuples (x₁,…,xₙ), where xi ∈ Xi, and distinguished from a direct product only in the case of an infinite number of sets, the direct sum consisting only of sequences containing a finite number of non-zero elements.

Origin

Early 20th century; earliest use found in Proceedings of the London Mathematical Society.

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