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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 .
An illustration of a compact set K, a compact neighborhood V of K, and an open set U containing V. Date: 9 August 2007, 01:14 (UTC) Source: self-made with Inkscape based on Image:Venn A subset B.svg: Author: Oleg Alexandrov
Diagrama de Venn; Usage on cs.wikipedia.org Vennův diagram; Usage on es.wikipedia.org Diagrama de Venn; Usage on fi.wikipedia.org Venn-diagrammi; Usage on fr.wikipedia.org Diagrammes d'Euler, de Venn et de Carroll; Diagramme de Venn; Usage on hu.wikipedia.org Venn-diagram; Usage on pt.wikipedia.org Diagrama de Venn; Usage on ta.wikipedia.org
If A is a set, then the absolute complement of A (or simply the complement of A) is the set of elements not in A (within a larger set that is implicitly defined). In other words, let U be a set that contains all the elements under study; if there is no need to mention U, either because it has been previously specified, or it is obvious and unique, then the absolute complement of A is the ...
The commonly-used diagram for the Borromean rings consists of three equal circles centered at the points of an equilateral triangle, close enough together that their interiors have a common intersection (such as in a Venn diagram or the three circles used to define the Reuleaux triangle).
In set theory the Venn diagrams tell, that there is an element in one of the red intersections. (The existential quantifications for the red intersections are combined by or. They can be combined by the exclusive or as well.) Relations like subset and implication, arranged in the same kind of matrix as above. In set theory the Venn diagrams tell,
File:Venn diagram gr la ru.svg. Size of this PNG preview of this SVG file: 622 × 600 pixels. Other resolutions: 249 × 240 pixels | 498 × 480 pixels | 797 × 768 pixels | 1,062 × 1,024 pixels | 2,124 × 2,048 pixels | 1,001 × 965 pixels. This is a file from the Wikimedia Commons. Information from its description page there is shown below.
In set theory the Venn diagrams tell, that there is an element in one of the red intersections. (The existential quantifications for the red intersections are combined by or. They can be combined by the exclusive or as well.) Relations like subset and implication, arranged in the same kind of matrix as above. In set theory the Venn diagrams tell,
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