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functor

Examples

  • Applicative functors are functors with some extra properties, the most important one is that it allows you to apply functions inside the functor (hence the name) to other values. an applicative functor out of every monad, and then we'll see an example of an applicative functor that is. — “Haskell/Applicative Functors - Wikibooks, collection of open”,
  • However, as I strongly believe in the sharing of information, I publish it here so Studies: a section that documents my studies for computer science at. — “KennyWiki”, functor.be
  • functor. Given two categories $\mathcal{C}$ and $\mathcal{D}$ , a covariant functor $T:\mathcal{C}\to\mathcal{D}$ consists of an assignment for each object $X$ of $\mathcal{C}$ an object $T A contravariant functor $T :\mathcal{C}\to\mathcal{D}$ is just a covariant functor $T:\mathcal{C}^{\rm op}\to. — “PlanetMath: functor”,
  • The pass-through filter makes a client believe that they are using the real object without having to explicitly call a functor. What you should be able to see is that a functor allows the original functionality to be kept intact, and additional functionality to be attached dynamically. — “C# Coding Solutions—Understanding and Using Functors at C#”, en.csharp-
  • An -place functor from categories into that is covariant in the 1) The identity mapping of a category onto itself is a covariant functor, called the identity functor of the category and denoted by or. — “Springer Online Reference Works”,
  • Note that one can also define a contravariant functor as a covariant functor on the dual category Cop.[4] Some authors prefer to write all Every functor induces an opposite functor .[5] By definition, Fop maps objects and. — “Functor - Wikipedia, the free encyclopedia”,
  • functor n. One that performs an operation or a function. Grammar . See function word . [New Latin, from Latin fūnctiō , performance, function. — “functor: Definition from ”,
  • Functor. In category theory, a branch of mathematics, a functor is a special type of mapping between categories. Functors can be thought of as homomorphisms between categories, or morphisms in the category of small categories. The word functor was borrowed by mathematicians from the philosopher. — “Functor”,
  • Functor definition, that which functions. See more. In category theory, a functor F is an operator on types. F is also considered to be a polymorphic operator on. — “Functor | Define Functor at ”,
  • In category theory, a functor is a map between categories satisfying For example, given a problem about topological spaces, one might apply some functor (say, taking the homology groups), and obtain an equivalent problem about vector. — “Functor - Conservapedia”,
  • A Function Object, or Functor (the two terms are synonymous) is simply any object that can be called as if it is a function. All other function object concepts defined by the STL are refinements of these three. — “Function Objects”,
  • Functor is a math/scientific software, for graphical ***yze of 3D algebraic functions Z = f(X, Y). The software uses OpenGL hardware acceleration if available. Supports perspective and ortho projection methods; Wire frame, web, solid and texture. — “Functor - free download. algebra, drawing”,
  • Encyclopedia article about functor. Information about functor in the Columbia Encyclopedia, Computer Desktop Encyclopedia, computing dictionary. — “functor definition of functor in the Free Online Encyclopedia”, encyclopedia2
  • Functor provides pattern-based function and method dispatch for Ruby, originally inspired by Topher Cyll s multi gem. class Repeater attr_accessor :times include Functor::Method functor( :repeat, Integer ) { |x| x * @times } functor( :repeat, String ) { |s| [].fill( s, 0..@times ).join(' ') } end r. — “RDoc Documentation”,
  • (mathematics) a structure-preserving mapping between categories: if F is a functor from category C to category D, then F maps objects of C to objects of D and arrows of C to arrows of D such that any arrow f:XY of C is mapped to an arrow F(f). — “functor - Wiktionary”,
  • Functor provides pattern-based function and method dispatch for Ruby, originally inspired by Topher Cyll's multi gem. To (partially) alleviate the performance hit, Functor keeps track of which functor block matches each particular *args set,. — “waves's functor at master - GitHub”,
  • Definition of functor in the Online Dictionary. Meaning of functor. Pronunciation of functor. Translations of functor. functor synonyms, functor antonyms. Information about functor in the free online English dictionary and encyclopedia. — “functor - definition of functor by the Free Online Dictionary”,
  • Listen to free music played by functor. Search for free music to stream. Create your own free internet radio station. — “Free Music | Listen to Music Online | functor - Blip.fm”, blip.fm
  • A functor, or function object, is a class in C++ with the () operator overloaded. Functors are used a lot in the standard library to do custom comp. — “Urban Dictionary: functor”,
  • A functor is a function that can be manipulated as an object, or an object representing a single, generic function. The root functor package defines three signatures for each functor type--taking zero, one or two Object arguments. — “Commons Functor - Overview”,
  • Definition of functor from Webster's New World College Dictionary. Meaning of functor. Pronunciation of functor. Definition of the word functor. Origin of the word functor. — “functor - Definition of functor at ”,
  • :For functors in computer science, see Function object. For functors in linguistics see Function word.In category theory, a branch of mathematics, a functor is a special type of mapping between categories. Functors can be thought of as morphisms. — “Functor | ”,
  • In fact the semantics are identical with the exception that the Functor Pattern additionally provides a mechanism to return values (or re-throw exceptions) to the Submitter (using Java 5+ Futures) where as the Command Pattern does not provide such capabilities. — “Functor Pattern - The Coherence Incubator - Oracle Coherence”,

Images

  • たまねぎをボウルに入れて 塩でよく揉む 水気が出るまでやろう
  • 荒熱を取って 器に入れる
  • ちなみにこんな風に包んでみた
  • ボウルに入れる
  • 焼き方も普通の餃子と同じ 焦げ目がついたら お湯を入れて蓋閉めて 蒸し焼きに
  • 6 Feature 2 Functors Consider the weather hmm blp BLP description file It illustrates the use of functors to represent dynamic probabilistic models More precisely it shows a hidden Markov model HMM HMMs are extremely popular for ***yzing sequential data Application areas include computational biology user modeling speech
  • 柿は薄いくし型に ハムときゅうりとたまねぎは 千切りか細切りに
  • 柿餃子 柿の甘さをどうにか使えないか サラダばかりだけれど 暖かいものは出来ないか 用意するもの
  • それから柿 柿だけでも美味しかったけれど 生ハムの塩気と一緒も美味しかった
  • ボウルに切った柿にハム きゅうりを投入 さらにマヨネーズを加えてよく混ぜ合わせる
  • 柿サラダ 柿が大量にあって困った 何か利用方法はないだろうか そんな中 出来たおすすめ一品 用意するもの
  • 食材 白菜が高かったので キャベツ 笑
  • そして完成 餃子だった 笑
  • 柿ゼリー あまりデザート類は作らないんだけれど けれど 挑戦してみました 用意するもの 柿 主役
  • さらに水気を切ったたまねぎを入れて よく混ぜる 味をみつつドレッシングを入れる
  • バターソテー 柿なんだーっと主張していて 変わったものを作りたくて試してみた 用意するもの 柿 主役
  • 柿は薄いくし型に
  • にんにくはひとかけらを摩り下ろしておく
  • キャベツは茹でておく
  • 冷凍のシーフードは解凍しよう
  • >>パスタ 和風もどきしめじパスタ
  • ミキサーでペースト状に
  • フライパンを熱し バターを溶かして 柿を焼く 軽くソテーしたら醤油で味付け
  • ぴりっと辛いシーフード柿サラダ 柿サラダを増やしてみようと思い タコによくあう以前作ったドレッシングでまとめてみた 用意するもの 柿 主役
  • functor png
  • 食材 その時冷蔵庫にあったもので用意してみたけれど 良い組み合わせだった
  • Inheritance Inherited Members Includes Libraries
  • 盛り付け ぴりっと辛く 混ぜたマヨネーズは海鮮に合うので美味しい
  • 柿は薄いくし型に 生ハムは細かく
  • 皮を剥き 種を取り除いて 白いところも 適当に切る
  • スライスチーズは四角を半分に切ってから 細く くっついてしまうので ばらしておくと良い
  • 柿は薄いくし型に
  • 味気ないので レモンを飾ってみた 果肉たっぷり 柿だーっっというゼリーになった
  • 食材 ここに無いけれど モッツァレラチーズも
  • そして盛り付け 冷蔵庫で冷やすと味が馴染んでさらによく
  • ボウルに切った切った材料と冷ましたシーフードを入れて マヨネーズ
  • 各材料をみじん切りに
  • 食材 ナマハムじゃなくて ロースハムでも お好みで
  • 柿は薄いくし型に
  • ビタミンCたっぷりパスタ サラダパスタ

Videos

  • Distributive laws 4 [30] Distributive laws as monads in the 2-category Mnd(C).
  • String diagrams 4 Monads in the string diagram notation. The unit and associativity identities as topological moves.
  • Adjunctions 4 The two notions of adjunction coincide.
  • Joseph Johnson - Unstable Homotopy Theory Conference 2009 "Lambda-rings and a functor K(X)" In this talk I will discuss lambda-rings and a functor K(X), which is a direct sum of certain G-equivariant K-theory groups. Specifically, I will demonstrate a lambda-ring structure on it and share some thoughts I have had recently.
  • Adjunctions 7 The adjunction coming from the Kleisli category. The category of adjunctions for a monad: the Eilenberg-Moore and Kleisli categories as terminal and initial objects.
  • Monads 3A An appendix to Monads 3: more on monoids as algebras for the monoid monad.
  • Monoid objects 2 A monoid object in the category of monoids is a commutative monoid. We use the Eckmann-Hilton argument.
  • Natural transformations 3 The interchange law for horizontal and vertical composition, "proof" using whiskering. This video is a bit quiet and a bit fuzzy and we'll probably replace it with an improved version soon.
  • Distributive laws 2 The key result about how a distributive law of S over T gives relationships between S-algebras, T-algebras and TS-algebras.
  • Adjunctions 3 Adjunctions give rise to monads.
  • Monads 2 Continuation of the monoid monad example and introduction of the category monad.
  • String diagrams 5 Adjunctions give rise to monads.
  • Natural transformations 1 The definition of natural transformations. An ***ogy with homotopy.
  • Eckmann-Hilton 1 We present and prove the Eckmann-Hilton argument: given a set with two binary, unital operations that distribute over one another, in fact the two operations must be the same and commutative. Proved using the Eckmann-Hilton "clock".
  • Adjunctions 1 The notion of an adjunction. Definition via unit and counit natural transformations and the triangle identities.
  • Representables and Yoneda 2 Further explanation of the Yoneda embedding (including calling it that, but not yet proving it's an embedding), checking naturality for H_f.
  • Slice and comma categories 1 Definition of slice categories C/X and X/C, products in C/X as pullbacks in C
  • String diagrams 2 The interchange law and whiskering. The last dull bits before getting onto adjunctions. (Apologies for the drastic editing at the end.)
  • Adjunctions 5 Every monad comes from an adjunction via its category of algebras.
  • String diagrams 3 The definition of adjunctions in string diagram language - the snake/zig-zag relation.
  • Natural transformations 2 More on natural transformations: vertical and horizontal composition.
  • Metric spaces and enriched categories 2 The definition of a generalized metric space as an enriched category. The definition of a metric map as an enriched functor.
  • The Coherence Incubator - Overview An Overview of The Coherence Incubator including a description of what is the Incubator is, reasons to use it and a brief description of each of the current projects: The Patterns: Coherence Common The Command Pattern The Functor Pattern The Messaging Pattern The Push Replication Pattern The Processing Pattern
  • Adjunctions 6 Definition of the Kleisli category
  • The Ode | Edwin Stolk | 2010 Never seek power--only release it. The Ode | 2010 is one of the acts out of undefined more acts and connected with and grown out of situation: The hanging gardens of Babylon | 2010. The hanging gardens of Babylon is a subjective and ambiguous situation in the Noord-Holland dune area, doomed to vanish. As part of temporary museum Heemskerk. You can be part of ; The hanging gardens of Babylon, till 26 September 2010. (English) (Dutch) www.schone- (Sorry Dutch only) Drop YOUR text version about the situation at the situation pay desk or under the video below, thanks a lot! More?
  • Functor | Edwin Stolk | 2010 Functor | 2010 is one of the first acts out of undefined more acts and connected with and grown out: The hanging gardens of Babylon | 2010. The hanging gardens of Babylon is a subjective and ambiguous situation in the Noord-Holland dune area, doomed to vanish. As part of temporary museum Heemskerk. You can be part of ; The hanging gardens of Babylon, till 26 September 2010. www.schone- (Sorry Dutch only) Drop YOUR text version about the work at the situation pay desk or under the video below, thanks a lot!
  • Adjunctions 2 Definition of adjunction via natural isomorphism between hom-sets. Getting the unit and counit from this.
  • String diagrams 1 A first look at the string diagram notation for representing categories, functors and natural transformations.
  • 2-categories 2 The middle four interchange law in a 2-category comes from functoriality of the composition functor.
  • Natural transformations 3A Addendum to natural transformations 3: a bit more about whiskering, and where the interchange law really comes from
  • Monads 1 An introduction to monads including the definition and a look at the monoid monad.
  • Representables and Yoneda 1 Definition of representable functors and the Yoneda embedding (though without calling it the Yoneda embedding yet)
  • Distributive laws 1 Definition of distributive law of one monad over another, and the example of multiplication distributing over addition.
  • Monads 4 Morphisms between algebras and the category of algebras. A first look at the question of monadicity.
  • Representables and Yoneda 3 Statement of Yoneda lemma and explanation of "why" it is true
  • Truecombat Community Movie A little something I put together that features some of the best players to ever play truecombat. All frags and caps are from TCL season 4 and 5 and TCUCL Invitational.
  • Distributive laws 3 and/or Monads 6 [29] We introduce the idea of monads *in* a general 2-category C (where putting C = Cat gives the usual notion of monad *on* a category), and define the 2-category Mnd(C) of monads, monad functors and monad transformations in C as in Street, The formal theory of monads.
  • Monads 3 The definition of algebras for monads. The example of monoids as algebras for the monoid monad.
  • Adjunctions from morphisms 2 The category of bundles on a set as a slice category and as a functor category into sets.