Definitions
American Heritage® Dictionary of the English Language, Fourth Edition
- n. One that performs an operation or a function.
- n. Grammar See function word.
Wiktionary
- n. grammar a function word
- n. computing a function object
- 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
- New Latin, from Latin fūnctiō, performance, function; see function. (American Heritage® Dictionary of the English Language, Fourth Edition)
Examples
“In the regimented environment of LeÅniewski'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.”
“Strict memoization (really hyper-strict) is centered on a family of trie functors, defined as a functor”
“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.”
“I am pretty sure that violates one of the applicative functor laws. (f pure x = pure ($x) f).”
“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.”
“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.”
“Moreover, in GEM the generalized Product principle (P. 16Ï) is also derivable as a theorem, with ˜Ï™ as weak as the requirement of mutual overlap, and we can introduce a corresponding functor as follows:”
“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.”
“With Protothetic launched, LeÅniewski 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”
Lists
These user-created lists contain the word ‘functor’.
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SCIE - graph theory
morphism, preorder, diagram, vector, quiver, functor, ancestor, successor, parent, simple, source, embedding and 423 more...
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fun
Funafuti, Funchal, fung-hwang, fundic, fungic, funge, fungo, funfair, functor, fungian, fungiform, fungibility and 58 more...
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Programming Jargon
Stuff that comes up all the time at work.
continuation, data structure, node, closure, compiler, funarg problem, garbage collection, pointer, anonymous function, block, currying, first-class function and 63 more...
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words that make me happy inside
amanuensis, inamorata, armigerous, yurt, fugacious, ephemeral, gambit, defenestration, orotund, toper, teuchter, apostasy and 90 more...
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zetadiction
words that embody life
hydrae, kleptocracy, curmudgeon, wordie, risotto, qi, pulchritudinous, micropolitan, schadenfreude, neolithic, experimentalist, zeta and 477 more...
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rememberers
prolix, ageusia, animadversion, anodyne, antic, arabesque, beadle, brachymetropia, colophon, desquamation, diaphoresis, diegesis and 3248 more...
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mathematical jargon
pointless space, monoid, group, category, functor, homomorphism, kernel, endomorphism, endomorphism, hylomorphism, automorphism, topos and 19 more...
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meangrape's Words
sciamancy, quine, brane, disconnectivity, functor, manifold, cohomology, capon, quandle, hyponatremia, quince, quibble and 26 more...
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techish words
π, cohomology, hyperoctahedral, homotopy, homeomorphism, diffeomorphism, functor, tarball, ping, awk, sudo, cron and 3 more...
Tweets
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