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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
A Venn diagram is a widely used diagram style that shows the logical relation between sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory , and to illustrate simple set relationships in probability , logic , statistics , linguistics and computer science .
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This article lists mathematical properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions, and performing calculations, involving these operations and relations.
English: A Venn diagram with n = 3. I wrote a program to draw these: User:Kopophex/venn.ml. Date: 7 January 2008 (original upload date) Source: Own work : Author:
The 2x2 matrices show the same information like the Venn diagrams. (This matrix is similar to this Hasse diagram.) In set theory the Venn diagrams represent the set, which is marked in red. These 15 relations, except the empty one, are minterms and can be the case. The relations in the files below are disjunctions.
Original file (SVG file, nominally 155 × 155 pixels, file size: 3 KB) This is a file from the Wikimedia Commons . Information from its description page there is shown below.
English: Venn diagram for the set theoretic intersection of A and B. Français : Diagramme de Venn montrant l'intersection de deux ensembles A et B. Italiano: Diagramma di Venn per l'intersezione degli insiemi A e B.