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There is a page named "Direct product" on Wikipedia
- one can often define a direct product of objects already known, giving a new one. This induces a structure on the Cartesian product of the underlying sets...16 KB (3,024 words) - 20:07, 26 May 2024
In mathematics, specifically in group theory, the direct product is an operation that takes two groups G and H and constructs a new group, usually denoted...26 KB (2,932 words) - 23:03, 19 April 2024- semidirect product is a generalization of a direct product. There are two closely related concepts of semidirect product: an inner semidirect product is a particular...30 KB (4,534 words) - 05:57, 9 April 2024
- In mathematics, a product of rings or direct product of rings is a ring that is formed by the Cartesian product of the underlying sets of several rings...6 KB (826 words) - 21:21, 25 February 2023
- Direct product (Matrix))matrix, known as the matrix product, has the number of rows of the first and the number of columns of the second matrix. The product of matrices A and B is...40 KB (6,456 words) - 13:03, 8 May 2024
- the phrase "direct product" is used. When the index set is infinite, the direct sum is not the same as the direct product since the direct sum has the...17 KB (2,822 words) - 14:40, 3 April 2024
- The Kronecker product is also sometimes called matrix direct product. The Kronecker product is named after the German mathematician Leopold Kronecker...40 KB (6,118 words) - 19:59, 25 April 2024
concept, which is further generalized in terms of direct product. A rigorous definition of the Cartesian product requires a domain to be specified in the set-builder...21 KB (2,821 words) - 15:28, 14 June 2024- constraints, making it an example of a coproduct. Contrast with the direct product, which is the dual notion. The most familiar examples of this construction...22 KB (3,560 words) - 16:29, 14 May 2024
In mathematics, the cross product or vector product (occasionally directed area product, to emphasize its geometric significance) is a binary operation...75 KB (11,464 words) - 04:10, 14 April 2024- Connect:Direct—originally named Network Data Mover (NDM)—is a computer software product that transfers files between mainframe computers and/or midrange...6 KB (782 words) - 07:42, 27 December 2023
- the Cartesian product of sets, the direct product of groups or rings, and the product of topological spaces. Essentially, the product of a family of...14 KB (2,379 words) - 20:32, 3 February 2024
- {Hi} the external direct sum is equal to the direct product. If G = ΣHi, then G is isomorphic to ΣE{Hi}. Thus, in a sense, the direct sum is an "internal"...8 KB (1,041 words) - 02:43, 19 April 2022
- finite direct product is the same as the finite direct sum of groups, it follows that the unrestricted A WrΩ H and the restricted wreath product A wrΩ H...12 KB (1,790 words) - 04:19, 9 June 2024
- subdirect product is a subalgebra of a direct product that depends fully on all its factors without however necessarily being the whole direct product. The...4 KB (558 words) - 01:02, 3 May 2020
- of an instance of a product type will be a tuple, and is called a "tuple type" of expression. A product of types is a direct product of two or more types...4 KB (467 words) - 13:13, 12 November 2023
- example, direct product of rings, direct product of topological spaces. 3. In category theory, denotes the direct product (often called simply product) of...73 KB (9,676 words) - 10:57, 11 June 2024
- Tensor product and hom of cyclic groups)operation is commutative), and every finitely generated abelian group is a direct product of cyclic groups. Every cyclic group of prime order is a simple group...36 KB (4,113 words) - 05:34, 9 March 2024
- English Wikipedia has an article on: direct product Wikipedia direct product (plural direct products) (set theory) The set of all possible tuples whose
- clothing - each one to the extent he exchanges the direct product of his own labour for the direct product of the labour of others is really applying his
- Gross National Product (GNP) is the market value of all the products and services produced in one year by labor and property supplied by the citizens
- \in A} be modules. The direct product of M α , α ∈ A {\displaystyle M_{\alpha },\alpha \in A} is the infinite cartesian product ∏ α ∈ A M α {\displaystyle
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