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  2. Venn diagram - Wikipedia

    en.wikipedia.org/wiki/Venn_diagram

    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.

  3. Symmetric difference - Wikipedia

    en.wikipedia.org/wiki/Symmetric_difference

    In mathematics, the symmetric difference of two sets, also known as the disjunctive union and set sum, is the set of elements which are in either of the sets, but not in their intersection. For example, the symmetric difference of the sets and is . The symmetric difference of the sets A and B is commonly denoted by (alternatively, ), , or .

  4. Set theory - Wikipedia

    en.wikipedia.org/wiki/Set_theory

    In this case, if the choice of U is clear from the context, the notation A c is sometimes used instead of U \ A, particularly if U is a universal set as in the study of Venn diagrams. Symmetric difference of sets A and B, denoted A B or A ⊖ B, is the set of all objects that are a member of exactly one of A and B (elements which are in one of ...

  5. Equivalence relation - Wikipedia

    en.wikipedia.org/wiki/Equivalence_relation

    In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. The equipollence relation between line segments in geometry is a common example of an equivalence relation. A simpler example is equality. Any number is equal to itself (reflexive). If , then (symmetric).

  6. Conditional mutual information - Wikipedia

    en.wikipedia.org/wiki/Conditional_mutual_information

    The conditional mutual information is used to inductively define the interaction information, a generalization of mutual information, as follows: where. Because the conditional mutual information can be greater than or less than its unconditional counterpart, the interaction information can be positive, negative, or zero, which makes it hard to ...

  7. Mathematical diagram - Wikipedia

    en.wikipedia.org/wiki/Mathematical_diagram

    A Young diagram or Young tableau, also called Ferrers diagram, is a finite collection of boxes, or cells, arranged in left-justified rows, with the row sizes weakly decreasing (each row has the same or shorter length than its predecessor). Young diagram. Listing the number of boxes in each row gives a partition of a positive integer n, the ...

  8. Intersection (set theory) - Wikipedia

    en.wikipedia.org/wiki/Intersection_(set_theory)

    Statement. The intersection of and is the set of elements that lie in both set and set . Symbolic statement. In set theory, the intersection of two sets and denoted by [ 1] is the set containing all elements of that also belong to or equivalently, all elements of that also belong to [ 2]

  9. File:Symmetrical 5-set Venn diagram LCM 2 3 4 5 7.svg

    en.wikipedia.org/wiki/File:Symmetrical_5-set...

    English: Radially-symmetrical Five-set Venn Diagram devised by Branko Gruenbaum and rendered by CMG Lee to show the lowest common multiples of 2, 3, 4, ...

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