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  2. Venn diagram - Wikipedia

    en.wikipedia.org/wiki/Venn_diagram

    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.

  3. Euler diagram - Wikipedia

    en.wikipedia.org/wiki/Euler_diagram

    Venn diagrams are a more restrictive form of Euler diagrams. A Venn diagram must contain all 2 n logically possible zones of overlap between its n curves, representing all combinations of inclusion/exclusion of its constituent sets. Regions not part of the set are indicated by coloring them black, in contrast to Euler diagrams, where membership ...

  4. Borromean rings - Wikipedia

    en.wikipedia.org/wiki/Borromean_rings

    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).

  5. Exclusive or - Wikipedia

    en.wikipedia.org/wiki/Exclusive_or

    E.g. row AB corresponds to the 2-circle, and row ABC to the 3-circle Venn diagram shown above. (As in the Venn diagrams, white is false, and red is true.) The truth table of A ⊕ B {\displaystyle A\oplus B} shows that it outputs true whenever the inputs differ:

  6. John Venn - Wikipedia

    en.wikipedia.org/wiki/John_Venn

    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 ...

  7. Overlapping circles grid - Wikipedia

    en.wikipedia.org/wiki/Overlapping_circles_grid

    The center lens of the 2-circle figure is called a vesica piscis, from Euclid. Two circles are also called Villarceau circles as a plane intersection of a torus. The areas inside one circle and outside the other circle is called a lune. The 3-circle figure resembles a depiction of borromean rings and is used in 3-set theory Venn diagrams.

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