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How to pronounce “direct product”
Hear “direct product” in real YouTube speech, then study definitions and example sentence snippets.
Pronunciation guide for direct product
- Learning goal
- Practice the English pronunciation of direct product with real speech in context.
- Available examples
- 0 YouTube examples
- Definition summary
- (set theory) The set of all possible tuples whose elements are elements of given, separately specified, sets.
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A Deep Dive Into “direct product”
Meaning
- [Noun]
- (set theory) The set of all possible tuples whose elements are elements of given, separately specified, sets.
- (group theory) 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.
- (ring theory) 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.
- (topology) A topological space analogously formed from two or more (up to an infinite number of) topological spaces.
- (mathematics) Any of a number of mathematical objects analogously derived from a given ordered set of objects.
- (category theory) 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.
Practice Nearby Words
cartesian product, relation, tuple, power set, multiset, product, outer product, ordered pair, partially ordered set, partition, member, binary relation, sets, biproduct, poset, product topology, categorical product, direct sum, difference set, ultraproduct, powerset, free product, itemset, coproduct, tomset, totally ordered set, extension, real plane, family, paraproduct, ordered set, dot product, set theory, ideal, element, product ring, subset, semidirect product, setoid, free group, intersection, item set, cover, set operation, ip set, upper set, bicrossproduct, collection, class, chain, set-builder notation, absolute complement, superset, order type, universal set, structure, hom-set, set-theoretic difference, discrete topology, union, lower set, partial ordering relation, choice, inner product, word, choice function, open set, transitive set, π-system, filtration, complement, axiom of choice, carrier set, multisubset, pomset, order tree, duoprism, relative complement, cartesian square, coset, transversal, quotient set, disjoint set, underlying set, proper subset, doubleton, polyton, hintikka set, downset, metaset, type, direct system, difference, connection, equivalence class, truthset, order, inner product space, submultiset, tensor product
Similar Sounds
dot product, doctorate, byproduct, by product, by-product, unpredict, circumduct, sex addict, software product, socratic