Examples of using Morphisms in English and their translations into Italian
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Colloquial
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Official
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Medicine
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Financial
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Ecclesiastic
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Ecclesiastic
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Computer
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Programming
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Official/political
The collection of measurable spaces forms a category, with the measurable functions as morphisms.
Associativity It is part of the definition of a category that composition of morphisms is associative.
On the other hand, a"small category" is one whose objects and morphisms are members of a set.
A similar argument allows one to construct a hom-set adjunction from the terminal morphisms to a left adjoint functor.
The category of schemes==Schemes form a category if we take as morphisms the morphisms of locally ringed spaces.
consisting of arrows(morphisms) linking objects,
In Europe have been remarked at least 24 chromatic(or morphisms) forms of the holotype.
Category theory deals with abstract objects and morphisms between those objects.
We have the map of F on objects and the family of morphisms η.
Morphisms in this category are just the elements of G.
Manipulation and visualization of objects, morphisms, categories, functors,
In mathematics, an abelian category is a category in which morphisms and objects can be added
in category theory, morphisms aren't necessarily functions
In most concrete settings, however, the objects will be sets with some additional structure and the morphisms will be functions preserving that structure.
Automorphism group==If the automorphisms of an object"X" form a set(instead of a proper class), then they form a group under composition of morphisms.
Representations in other categories===Every group"G" can be viewed as a category with a single object; morphisms in this category are just the elements of"G.
in the sense of initial morphisms, one may construct the induced hom-set adjunction by doing the following steps.
that G is a functor implies that the map of F on morphisms preserves compositions and identities.
the discrete category on I is the small category that has the elements of I as objects and only the identity morphisms as morphisms.
a"large category" is defined as one whose objects and morphisms make up a proper class.