Set Theory - Function (Mathematical)

Venn Diagram

Set Theory - Function (Mathematical)


A function in set theory is known as a mathematical function.

It is a relation between sets that associates:

  • every element of the first set
  • to exactly one element of the second set.

Duplicate ! Linear Algebra - Function (Set)


<MATH> y = f(x) </MATH>

Physical Structure

A function is uniquely represented by the set of all pairs (ie a map) (x, f (x))


A function is represented graphically by the graph of the function

Recommended Pages
Imperative Vs Functional
Code - Functional programming (FP) - Collection Operations

Functional programming (FP) defines standard operations on collections. It is a declarative paradigm that treats computation as the evaluation of mathematical functions. Most of the operations, you perform...
Utah Teapot
Data Visualization - ( Chart | Graph | Graphic)

A chart, also called a graph (in mathematics for instance), is a graphical representation of data, in which the data is represented by symbols, such as: bars in a bar chart, lines in a line chart,...
Card Puncher Data Processing
Language - Operator

An operator is a symbol (token) that compose an expression. It operates on values on its side (left and/or right). They represents a function but where the argument are on both side of it. This...
Function Domain Codomain Caesar Crypto
Linear Algebra - Function (Set)

For each input element in a set , a function assigns a single output element from another set . is called the domain of the function is called the co-domain or in Mathese: The function...
Association Entity Example
Logical Data Modeling - Association

An association is a relationship between two or more entities. It's represented by a link in the data model. An association: answers to the question why two entity need to know one another. specifies...
Venn Diagram
Set - Graph of a mathematical function

graph of a mathematical function Graph of the Gaussian density function made with the World library ()...
One To One Relationship Function
Set Theory - Bijection function (One-to-one relationship)

A Bijection is a mathematical / set function between the elements of two sets (ie binary function) where each element of one set is paired with exactly one element of the other set, each element...
Venn Diagram
Set Theory - Relationship

The relationships between set structure is: given by a mathematical function and is described by the set operators. You can visualize them with venn diagram.

Share this page:
Follow us:
Task Runner