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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 .
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.
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.
English: The necessary and sufficient conditions in the language of sets (Venn diagrams). Necessary condition means that in order to get into the sufficient area, S, you must at first enter the necessary area, N. Sufficient condition means that being in S ensures that you are in the N. Necessary and sufficient (if and only if) condition means that S = N.
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 following other wikis use this file: Usage on bg.wikipedia.org Диаграма на Вен; Usage on bn.wikipedia.org ভেন রেখাচিত্র
Date/Time Thumbnail Dimensions User Comment; current: 18:07, 18 December 2006: 548 × 370 (5 KB): Interiot~commonswiki: rounded corners on squares: 12:40, 18 November 2006