Set Theory - Bijection function (One-to-one relationship)

X1234YDBCA

About

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 of the other set is paired with exactly one element of the first set.
  • there are no unpaired elements

This function is also known as:

Example

  • A bijection (Ref

X1234YDBCA

  • Not a bijection

One To One Relationship Function

Properties

A function f: R → R is bijective if and only if its graph meets every horizontal and vertical line exactly once.

Documentation / Reference





Discover More
Card Puncher Data Processing
Language - Equality

The Equality operators model the Equivalence relation: equality is parallel to (for affine spaces) is in bijection with isomorphy The Equality operators are a subset of the comparison operator....
Data System Architecture
Logical Data Modeling - Equivalence Relationship (Equality)

The equivalence relation is a relationship between two entities. The equivalence relation is also known as: is equal to. equality is parallel to (for affine spaces) is in bijection with - bijection...
Data System Architecture
Logical Data Modeling - Primary Key (Id, Name)

A Primary Key is a key that identify indefinitely uniquely an element: entity or a in their local scope. It's a part of the fully qualified identifier. A real primary key is immutable as...
One To One Relationship Function
Relational Data Modeling - One-to-One Relationship

A one-to-one relationship is a relational relationship that is equivalent to the set bijection relationship This relationship describe that one row from a relation point to exactly one row to the other...



Share this page:
Follow us:
Task Runner