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English: Venn diagram picturing relationships between elements within self-determination theory of student motivation. As per this is the uploader's own work as the diagram has been developed from the referenced source to to illustrate the three important elements discussed in the article. This image should be corrected to read "based on ...
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.
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.
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,
Each one of the 256 possible relations can be expressed by one of these Euler diagrams by permuting and negating the arguments A, B, C. E.g. can be expressed by . The beige numbers denote the number of white areas in the diagrams in the corresponding beige rectangle. (That is the number of ones in the corresponding Boolean functions.)
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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