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numeralwise representable function - translation to russian
FUNCTOR F: C → SET TO THE CATEGORY OF SETS, NATURALLY ISOMORPHIC TO A HOM-FUNCTOR HOM(X, –) FOR SOME OBJECT X IN C
Universal element; Representable presheaf; Representing object
numeralwise representable function
нумерически представимая функция
function of several variables
![The function mapping each year to its US motor vehicle death count, shown as a [[line chart]]](https://commons.wikimedia.org/wiki/Special:FilePath/Motor vehicle deaths in the US.svg?width=200 "The function mapping each year to its US motor vehicle death count, shown as a [[line chart]]")
![Graph of two trigonometric functions: [[sine]] and [[cosine]].](https://commons.wikimedia.org/wiki/Special:FilePath/Sine cosine one period.svg?width=200 "Graph of two trigonometric functions: [[sine]] and [[cosine]].")
ASSOCIATION OF A SINGLE OUTPUT TO EACH INPUT
Mathematical Function; Mathematical function; Function specification (mathematics); Mathematical functions; Empty function; Function (math); Ambiguous function; Function (set theory); Function (Mathematics); Functions (mathematics); Domain and range; Functional relationship; G(x); H(x); Function notation; Output (mathematics); Ƒ(x); Overriding (mathematics); Overriding union; F of x; Function of x; Bivariate function; Functional notation; Function of several variables; Y=f(x); ; Draft:The Repeating Fractional Function; Image (set theory); Mutivariate function; Draft:Specifying a function; Function (maths); Functions (math); Functions (maths); F(x); Empty map; Function evaluation
функция нескольких переменных
empty function
ASSOCIATION OF A SINGLE OUTPUT TO EACH INPUT
Mathematical Function; Mathematical function; Function specification (mathematics); Mathematical functions; Empty function; Function (math); Ambiguous function; Function (set theory); Function (Mathematics); Functions (mathematics); Domain and range; Functional relationship; G(x); H(x); Function notation; Output (mathematics); Ƒ(x); Overriding (mathematics); Overriding union; F of x; Function of x; Bivariate function; Functional notation; Function of several variables; Y=f(x); ; Draft:The Repeating Fractional Function; Image (set theory); Mutivariate function; Draft:Specifying a function; Function (maths); Functions (math); Functions (maths); F(x); Empty map; Function evaluation
математика
пустая функция
Wikipedia
Representable functor
In mathematics, particularly category theory, a representable functor is a certain functor from an arbitrary category into the category of sets. Such functors give representations of an abstract category in terms of known structures (i.e. sets and functions) allowing one to utilize, as much as possible, knowledge about the category of sets in other settings.
From another point of view, representable functors for a category C are the functors given with C. Their theory is a vast generalisation of upper sets in posets, and of Cayley's theorem in group theory.
