Here you will find one or more explanations in English for the word Functor.
Also in the bottom left of the page several parts of wikipedia pages related to the word Functor and, of course, Functor synonyms and on the right images related to the word Functor.
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Perfunctorily
Perfunctorily Per*func"to*ri*ly, adv.
In a perfunctory manner; formally; carelessly. --Boyle.
Perfunctoriness
Perfunctoriness Per*func"to*ri*ness, n.
The quality or state of being perfunctory.
PerfunctoryPerfunctory Per*func"to*ry, a. [L. perfunctorius, fr.
perfunctus dispatched, p. p. of perfungi to discharge,
dispatch; per (see Per) + fungi to perform. See
Function.]
1. Done merely to get rid of a duty; performed mechanically
and as a thing of rote; done in a careless and superficial
manner; characterized by indifference; as, perfunctory
admonitions. --Macaulay.
2. Hence: Mechanical; indifferent; listless; careless.
``Perfunctory in his devotions.' --Sharp.
Meaning of Functor from wikipedia
- In mathematics,
specifically category theory, a
functor is a
mapping between categories.
Functors were
first considered in
algebraic topology,
where algebraic...
-
relationship that two
functors may exhibit,
intuitively corresponding to a weak form of
equivalence between two
related categories. Two
functors that
stand in...
- up
functor in Wiktionary, the free dictionary. A
functor, in mathematics, is a map
between categories.
Functor may also
refer to:
Predicate functor in...
- In
functional programming, a
functor is a
design pattern inspired by the
definition from
category theory that
allows one to
apply a
function to values...
- like the
strongly related notions of
universal properties and
adjoint functors,
exist at a high
level of abstraction. In
order to
understand them, it...
-
between objects) give rise to
important functors to the
category of sets.
These functors are
called hom-
functors and have
numerous applications in category...
-
direct image functor,
taking sheaves and
their morphisms on the
domain to
sheaves and
morphisms on the codomain, and an
inverse image functor operating in...
- In mathematics, a
group functor is a group-valued
functor on the
category of
commutative rings.
Although it is
typically viewed as a
generalization of...
-
category theory, a
representable functor is a
certain functor from an
arbitrary category into the
category of sets. Such
functors give
representations of an...
-
category theory, a
faithful functor is a
functor that is
injective on hom-sets, and a full
functor is
surjective on hom-sets. A
functor that has both properties...
