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Pythagoras0 (토론 | 기여) (→메타데이터: 새 문단) |
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− | == 메타데이터 == | + | ==메타데이터== |
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===위키데이터=== | ===위키데이터=== | ||
* ID : [https://www.wikidata.org/wiki/Q386320 Q386320] | * ID : [https://www.wikidata.org/wiki/Q386320 Q386320] | ||
+ | ===Spacy 패턴 목록=== | ||
+ | * [{'LOWER': 'representable'}, {'LEMMA': 'functor'}] |
2021년 2월 17일 (수) 01:14 기준 최신판
노트
위키데이터
- ID : Q386320
말뭉치
- Let’s use this idea to guide us to finding some simple representable functors.[1]
- So we can actually build out applicatives from a representable functor.[1]
- convinced you that representable functors are interesting, remember, we were able to build all of this from a simple isomorphism with Hom .[1]
- Formally, there’s an isomorphism from any Representable Functor to Reader.[2]
- This package provides representable functors for haskell.[3]
- Today I want to discuss representable functors and Yondea's lemma which is, for example, used a lot in modern Algebraic Geometry.[4]
- We begin with the definition of a representable functor.[4]
- In a nutshell, this result says that representable functors are the same as group objects in , and that representable functors are the same as commutative group objects in .[4]
- The concept of a representable functor arose first in algebraic geometry (cf.[5]
- Representable functors occur in many branches of mathematics besides algebraic geometry.[5]
- The theorem (above) characterizing natural transformations from a representable functor to an arbitrary functor is commonly called the Yoneda lemma.[5]
- Representable functors are naturally isomorphic to Hom functors and therefore share their properties.[6]
- In particular, (covariant) representable functors preserve all limits.[6]
- Let’s analyze the definition of the representable functor from this perspective.[7]
- In the same vein we can think of representable functors as containers for storing memoized results of function calls (the members of hom-sets in Haskell are just functions).[7]
- Finally, notice that a representable functor gives us two different implementations of the same thing — one a function, one a data structure.[7]
- We will show that a functor that is a sheaf for the Zariski topology and has an open covering by representable functors is itself representable.[8]
- A query discussion on differences between representable functor and representation of a functor is archived here.[9]
소스
- ↑ 이동: 1.0 1.1 1.2 Representable Functors
- ↑ Laziness with Representable Functors
- ↑ ekmett/representable-functors: representable functors
- ↑ 이동: 4.0 4.1 4.2 Fun With Representable Functors, or Why I Like Yondea's Lemma.
- ↑ 이동: 5.0 5.1 5.2 Encyclopedia of Mathematics
- ↑ 이동: 6.0 6.1 Representable functor
- ↑ 이동: 7.0 7.1 7.2 Bartosz Milewski's Programming Cafe
- ↑ Representable Functors
- ↑ representable functor in nLab
메타데이터
위키데이터
- ID : Q386320
Spacy 패턴 목록
- [{'LOWER': 'representable'}, {'LEMMA': 'functor'}]