Venn diagram


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A Venn diagramMathworldPlanetmath 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:

AABB..

The overlapping region represents the intersectionMathworldPlanetmathPlanetmath of the sets A and B, denoted by AB.

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

2134U..

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