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  1. functor love

Definitions

American Heritage® Dictionary of the English Language, Fourth Edition

  1. n. One that performs an operation or a function.
  2. n. Grammar See function word.

Wiktionary

  1. n. grammar a function word
  2. n. computing a function object
  3. n. 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 morphisms of C to morphisms of D such that any morphism f:X→Y of C is mapped to a morphism F(f): F(X) → F(Y) of D, such that if then , and such that identity morphisms (and only identity morphisms) are mapped to identity morphisms. Note: the functor just described is covariant.

Etymologies

  1. New Latin, from Latin fūnctiō, performance, function; see function. (American Heritage® Dictionary of the English Language, Fourth Edition)

Examples

  • “In the regimented environment of Leśniewski's logical languages this always takes place in the following way: a combining expression, which we may call a functor, precedes a left parenthesis of some kind, which is then followed by a sequence of one or more argument expressions, followed by a right parenthesis symmetric to the other one, which terminates the complex.”

    Stanisław Leśniewski

  • “Strict memoization (really hyper-strict) is centered on a family of trie functors, defined as a functor

    Planet Haskell

  • functor" we need to be clear whether we're talking about one of these objects (ie a functor in the underlying category), or about a functor over this category.”

    Planet Haskell

  • “I am pretty sure that violates one of the applicative functor laws. (f pure x = pure ($x) f).”

    Patterns in Haskell « Alex McLean

  • “So quantum mechanics and general relativity at least within this “partial functor” are equivalent, and might ultimately prove to be two aspects of an identical system.”

    If We Live in a Multiverse, How Many Are There? | Universe Today

  • “Since quotations are functor expressions without internal structure, (BQ2) is explained: there's no possibility for quantifying into a quotation on this view.”

    Quotation

  • “For example, “is” has s/nn as its categorial index; it says that” is “is a two-placed functor of two nominal arguments which forms a sentence.”

    Lvov-Warsaw School

  • “Moreover, in GEM the generalized Product principle (P. 16ψ) is also derivable as a theorem, with ˜Ïˆ™ as weak as the requirement of mutual overlap, and we can introduce a corresponding functor as follows:”

    Fictionaut: Wild Dreams Of Reality, 3

  • “Coarse-graining might be represented as a functor, or something like that, establishing some kind of equivalence which lets you have a weaker notion of isomorphism.”

    Arrow of Time FAQ

  • “With Protothetic launched, Leśniewski could now look back on his system of foundations and see that it consisted of a hierarchy of three systems, developed in reverse order: Protothetic, introducing connectives, quantifiers and higher functions; Ontology, introducing the new category of names, with the new primitive ˜is™, and Mereology, based on a primitive mereological functor such as”

    Stanisław Leśniewski

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‘functor’ has been looked up 1266 times, added to 9 lists, and has a Scrabble score of 12.