| 单词 | direct sum |
| 释义 | > as lemmasdirect sum direct sum n. 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. ΚΠ 1908 Proc. London Math. Soc. 6 109 An algebra, which has a modulus, can be expressed uniquely as the direct sum of a number of irreducible algebras. 1971 M. B. Powell & G. Higman Finite Simple Groups iii. 149 V is completely reducible, i.e., a direct sum of irreducible modules. 2005 Math. Mag. 78 221 We can write the group as a direct sum of cyclic groups. < as lemmas |
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