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v. t. e. 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.
Venn diagram of (true part in red) In logic and mathematics, the logical biconditional, also known as material biconditional or equivalence or biimplication or bientailment, is the logical connective used to conjoin two statements and to form the statement "if and only if" (often abbreviated as "iff " [1]), where is known as the antecedent, and the consequent.
Original - The international biological hazard symbol, developed by the Dow Chemical company in 1960 for their containment products. All parts of the Biohazard sign can be drawn with a compass and ruler. The basic outline of the symbol is a plain trefoil, which is three circles overlapping each other equally like in a triple venn diagram with ...
Venn diagram of information theoretic measures for three variables x, y, and z, represented by the lower left, lower right, and upper circles, respectively. The interaction information is represented by gray region, and it is the only one that can be negative.
John Venn. John Venn, FRS, [2][3] FSA [4] (4 August 1834 – 4 April 1923) was an English mathematician, logician and philosopher noted for introducing Venn diagrams, which are used in logic, set theory, probability, statistics, and computer science. In 1866, Venn published The Logic of Chance, a groundbreaking book which espoused the frequency ...
File information Description Venn Diagrams Representing all Intersectional Logic Gates Between Two Inputs. Based on Image:LogicGates.jpg.. Source I (ZanderSchubert ()) created this work entirely by myself.
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.)
Venn diagram showing the union of sets A and B as everything not in white. In combinatorics, a branch of mathematics, the inclusion–exclusion principle is a counting technique which generalizes the familiar method of obtaining the number of elements in the union of two finite sets; symbolically expressed as