# Venn diagram

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A *Venn diagram ^{}* is a visual tool used in describing how two or more sets are logically related to one another. The simplest example is a Venn diagram for two sets. Each set is represented by a planar region bounded by a circle, so that the two regions overlap. In the diagram below, set $A$ is represented by the reddish circular disc and set $B$ is represented by the bluish circular disc:

The overlapping region represents the intersection^{} of the sets $A$ and $B$, denoted by $A\cap B$.

Typically, the two sets are subsets of some bigger set $U$, called a universe^{}. Therefore, the corresponding Venn diagram above is shown to be sitting inside a larger rectangular region representing the universe:

Notice that the region representing the universe $U$ is partitioned into $4$ mutually exclusive regions:

Title | Venn diagram |
---|---|

Canonical name | VennDiagram |

Date of creation | 2013-03-22 17:45:43 |

Last modified on | 2013-03-22 17:45:43 |

Owner | CWoo (3771) |

Last modified by | CWoo (3771) |

Numerical id | 16 |

Author | CWoo (3771) |

Entry type | Definition |

Classification | msc 00A05 |

Classification | msc 00A06 |

Classification | msc 03E99 |

\@unrecurse |