| 单词 | direct product |
| 释义 | > as lemmasdirect product direct product n. Mathematics a direct sum of sets regarded formally as a product, which in the case of an infinite number of sets is allowed to contain infinite sequences of non-zero elements. ΚΠ 1897 W. Burnside Theory of Groups of Finite Order iii. 40 If two groups G1, G2 have no common operation except identity, and if each operation of G1 is permutable with each operation of G2, the group {G1,G2} is called the direct product of G1 and G2. 1951 Proc. Amer. Math. Soc. 2 324 The given identity is satisfied also by the direct product A × G, where G is a field containing F. 2004 R. Snieder Guided Tour Math. Methods Physical Sci. (ed. 2) xxii. 400 The direct product of two tensors is formed by multiplying the different elements of the two tensors without carrying out a summation over repeated indices. < as lemmas |
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