In mathematics, specifically category theory, a family of generators (or family of separators) of a category C {\displaystyle {\mathcal {C}}} is a collection...

water from air Generator (mathematics) Generator matrix, a matrix used in coding theory Generator (category theory) of a category, in category mathematics...

category theory, a branch of mathematics, a monad is a triple ( T , η , μ ) {\displaystyle (T,\eta ,\mu )} consisting of a functor T from a category to...

In mathematics, specifically category theory, adjunction is a relationship that two functors may exhibit, intuitively corresponding to a weak form of...

serves as a generator, the category Ab is therefore a Grothendieck category; indeed it is the prototypical example of a Grothendieck category. An object...

Generating set of an ideal in a ring Generating set of a module A generator, in category theory, is an object that can be used to distinguish morphisms In topology...

In category theory, a branch of mathematics, the abstract notion of a limit captures the essential properties of universal constructions such as products...

the sense used in category theory, but not in the sense used by Hausmann and Ore. Nevertheless, influential books in semigroup theory, including Clifford...

represents one of the oldest and best-known pseudorandom number generator algorithms. The theory behind them is relatively easy to understand, and they are...

In category theory, a branch of mathematics, the concept of an injective cogenerator is drawn from examples such as Pontryagin duality. Generators are...

electricity generation, a generator, also called an electric generator, electrical generator, and electromagnetic generator is an electromechanical device...

An electrostatic generator, or electrostatic machine, is an electrical generator that produces static electricity, or electricity at high voltage and...

An alternator (or synchronous generator) is an electrical generator that converts mechanical energy to electrical energy in the form of alternating current...

This is a timeline of category theory and related mathematics. Its scope ("related mathematics") is taken as: Categories of abstract algebraic structures...

A Van de Graaff generator is an electrostatic generator which uses a moving belt to accumulate electric charge on a hollow metal globe on the top of an...

consisting of generator symbols and their inverses is called a word. Combinatorial group theory studies groups from the perspective of generators and relations...

(certain) Grothendieck categories. By definition, a Grothendieck category A {\displaystyle {\mathcal {A}}} is an AB5 category with a generator. Spelled out, this...

a glossary of properties and concepts in category theory in mathematics. (see also Outline of category theory.) Notes on foundations: In many expositions...

derived category D(A) of an abelian category A is a construction of homological algebra introduced to refine and in a certain sense to simplify the theory of...

pseudorandom number generator (CSPRNG) or cryptographic pseudorandom number generator (CPRNG) is a pseudorandom number generator (PRNG) with properties...

presheaf. Giraud's axioms for a category C {\displaystyle C} are: C {\displaystyle C} has a small set of generators, and admits all small colimits. Furthermore...

representability theorem in homotopy theory gives necessary and sufficient conditions for a contravariant functor F on the homotopy category Hotc of pointed connected...

A magnetohydrodynamic generator (MHD generator) is a magnetohydrodynamic converter that transforms thermal energy and kinetic energy directly into electricity...

separates a set of geometric shapes to two subsets A synonym for "generator" in category theory A mathematical sign used to separate the integer part from the...

set of generators). The free product is the coproduct in the category of groups. That is, the free product plays the same role in group theory that disjoint...

there is no free complete lattice on three or more generators. The paradoxes of naive set theory can be explained in terms of the inconsistent tacit...

the gauge group of the theory. Associated with any Lie group is the Lie algebra of group generators. For each group generator there necessarily arises...

A radioisotope thermoelectric generator (RTG, RITEG), or radioisotope power system (RPS), is a type of nuclear battery that uses an array of thermocouples...

"I developed (...) tests to break a generator, and I developed the generator to pass the tests. The generator is ISAAC." The ISAAC algorithm has similarities...

{\displaystyle \phi } , a fermionic field ψ {\displaystyle \psi } , and a generator Q {\displaystyle Q} which acts as Q ϕ = i ψ {\displaystyle Q\phi =i\psi...