# Venn diagram

Note: Currently, overlapping do not seem to be showing up properly in html mode. Therefore, this entry is best viewed using page mode.

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 VennDiagram 2013-03-22 17:45:43 2013-03-22 17:45:43 CWoo (3771) CWoo (3771) 16 CWoo (3771) Definition msc 00A05 msc 00A06 msc 03E99