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hom-tensor

How to use hom-tensor in a sentence. Live example sentences for hom-tensor pulled from indexed public discussions.

Editorial note

At a deeper level currying is just a specific application of the Hom-tensor adjunction to the category of Sets.

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Quick take

At a deeper level currying is just a specific application of the Hom-tensor adjunction to the category of Sets.

Example sentences

1

At a deeper level currying is just a specific application of the Hom-tensor adjunction to the category of Sets.

2

Why is dedicated standard library support needed, when you can recover it from tuples, single-argument functions and Hom-tensor adjunctions[0]?

3

Given a vector in V and a transformation W^V, you can get a vector in W -- I think categorically this is called the hom-tensor adjunction?

4

This universal property is elegant and immediately gives the Hom-tensor adjunction, but to show that tensor products satisfying it actually exist you'll need an explicit construction, which can be done by quotienting a free module.

5

In module theory, which is a bit close to ZX, category theory gets used in a big way to calculate things: See left/right exact functors, co/contravariant functors, derived functors, the hom-tensor adjunction, etc.

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How do you use hom-tensor in a sentence?

At a deeper level currying is just a specific application of the Hom-tensor adjunction to the category of Sets.