numeralwise representable function - translation to ρωσικά
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numeralwise representable function - translation to ρωσικά

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         
  • A binary operation is a typical example of a bivariate function which assigns to each pair <math>(x, y)</math> the result <math>x\circ y</math>.
  • A function that associates any of the four colored shapes to its color.
  • Together, the two square roots of all nonnegative real numbers form a single smooth curve.
  • Graph of a linear function
  • The function mapping each year to its US motor vehicle death count, shown as a [[line chart]]
  • The same function, shown as a bar chart
  • Graph of a polynomial function, here a quadratic function.
  • Graph of two trigonometric functions: [[sine]] and [[cosine]].
  • right
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         
  • A binary operation is a typical example of a bivariate function which assigns to each pair <math>(x, y)</math> the result <math>x\circ y</math>.
  • A function that associates any of the four colored shapes to its color.
  • Together, the two square roots of all nonnegative real numbers form a single smooth curve.
  • Graph of a linear function
  • The function mapping each year to its US motor vehicle death count, shown as a [[line chart]]
  • The same function, shown as a bar chart
  • Graph of a polynomial function, here a quadratic function.
  • Graph of two trigonometric functions: [[sine]] and [[cosine]].
  • right
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

Βικιπαίδεια

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.

Μετάφραση του &#39numeralwise representable function&#39 σε Ρωσικά