Definition, Betydelse & Synonymer | Engelska ordet COPRODUCT

Definition av COPRODUCT

1. (matematik) koprodukt

Exempel på hur man kan använda COPRODUCT i en mening

• The direct sum of modules is the smallest module which contains the given modules as submodules with no "unnecessary" constraints, making it an example of a coproduct.
• In a preadditive category the notions of product and coproduct coincide for finite collections of objects.
• Pushout (category theory) (also called an amalgamated sum or a cocartesian square, fibered coproduct, or fibered sum), the colimit of a diagram consisting of two morphisms f : Z → X and g : Z → Y with a common domainor pushout, leading to a fibered sum in category theory.
• In category theory, the disjoint union is the coproduct of the category of sets, and thus defined up to a bijection.
• In common with all universal enveloping algebras, it has a natural structure of a Hopf algebra, with a coproduct.
• In category theory, the coproduct, or categorical sum, is a construction which includes as examples the disjoint union of sets and of topological spaces, the free product of groups, and the direct sum of modules and vector spaces.
• The ring of symmetric functions can be given a coproduct and a bilinear form making it into a positive selfadjoint graded Hopf algebra that is both commutative and cocommutative.
• In computer science, a tagged union, also called a variant, variant record, choice type, discriminated union, disjoint union, sum type, or coproduct, is a data structure used to hold a value that could take on several different, but fixed, types.
• In category theory, a branch of mathematics, a pushout (also called a fibered coproduct or fibered sum or cocartesian square or amalgamated sum) is the colimit of a diagram consisting of two morphisms f : Z → X and g : Z → Y with a common domain.
• tert-Butyl alcohol is derived commercially from isobutane as a coproduct of propylene oxide production.
• An alternative precursor 1-(trimethylsilyl)imidazole requires more preparative effort with the advantage that the coproduct trimethylsilyl chloride is volatile.
• Two-dimensional TQFTs correspond to Frobenius algebras, where the circle (the only connected closed 1-manifold) maps to the underlying vector space of the algebra, while the pair of pants gives a product or coproduct, depending on how the boundary components are grouped – which is commutative or cocommutative.
• NTA is also cogenerated as an impurity in the synthesis of EDTA, arising from reactions of the ammonia coproduct.
• We give kG the structure of a cocommutative Hopf algebra by defining the coproduct, counit, and antipode to be the linear extensions of the following maps defined on G:.
• During vigorous ischemic exercise, skeletal muscle functions anaerobically, generating lactate and ammonia a coproduct of muscle myoadenylate deaminase (AMPD) activity.
• Then, one uses a presentation of filtered colimits as a coequalizer (which is a finite colimit) of an infinite coproduct.

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