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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.
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.
Notice the analogy to the union, difference, and intersection of two sets: in this respect, all the formulas given above are apparent from the Venn diagram reported at the beginning of the article. In terms of a communication channel in which the output Y {\displaystyle Y} is a noisy version of the input X {\displaystyle X} , these relations ...
These diagrams depict elements as points in the plane, and sets as regions inside closed curves. A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set. The points inside a curve labelled S represent elements of the set S, while points outside the boundary represent elements not in the set S.
Deutsch: Venn-Diagramm, das die Großbuchstaben des standardisierten griechischen, lateinischen und kyrillischen Alphabets und ihre Gemeinsamkeiten zeigt. Français : Diagramme de Venn montrant les majuscules de l’alphabet standard grec, latin et cyrillique et ses communautés.
Venn diagram This page was last edited on 9 July 2024, at 22:43 (UTC). Text is available under the Creative Commons Attribution ... Code of Conduct; Developers;
Venn diagram of information theoretic measures for three variables x, y, and z. Each circle represents an individual entropy : H ( x ) {\displaystyle H(x)} is the lower left circle, H ( y ) {\displaystyle H(y)} the lower right, and H ( z ) {\displaystyle H(z)} is the upper circle.
Randolph diagram that represents the logical statement (disjunction). A Randolph diagram (R-diagram) is a simple way to visualize logical expressions and combinations of sets. Randolph diagrams were created by mathematician John F. Randolph in 1965, during his tenure at the University of Arkansas.