direct product
短语直积, 直接积
词形变化
释义与例句
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1.
The set of all possible tuples whose elements are elements of given, separately specified, sets.
数学If A and B are sets, their direct product is the set of ordered pairs (a,b) with a in A and b in B.
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2.
Such a set of tuples formed from two or more groups, forming another group whose group operation is the component-wise application of the original group operations and of which the original groups are normal subgroups.
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3.
Such a set of tuples formed from two or more rings, forming another ring whose operations arise from the component-wise application of the corresponding original ring operations.
A Boolean ring of order 2ⁿ (or dimension n) may be constructed as the direct product of n Boolean rings of dimension one.
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4.
A topological space analogously formed from two or more (up to an infinite number of) topological spaces.
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5.
Any of a number of mathematical objects analogously derived from a given ordered set of objects.
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6.
A high-level generalization of the preceding that applies to objects in an arbitrary category and produces a new object constructable by morphisms from each of the original objects.
计算机 工程 数学