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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. Empty set - Wikipedia

    en.wikipedia.org/wiki/Empty_set

    In mathematics, the empty set or void set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero. [1] Some axiomatic set theories ensure that the empty set exists by including an axiom of empty set , while in other theories, its existence can be deduced.

  4. Naive set theory - Wikipedia

    en.wikipedia.org/wiki/Naive_set_theory

    The empty set is a subset of every set (the statement that all elements of the empty set are also members of any set A is vacuously true). The set of all subsets of a given set A is called the power set of A and is denoted by 2 A {\displaystyle 2^{A}} or P ( A ) {\displaystyle P(A)} ; the " P " is sometimes in a script font: ⁠ ℘ ( A ...

  5. List of set identities and relations - Wikipedia

    en.wikipedia.org/wiki/List_of_set_identities_and...

    A universe set is an absorbing element of binary union . The empty set is an absorbing element of binary intersection and binary Cartesian product , and it is also a left absorbing element of set subtraction :

  6. Data and information visualization - Wikipedia

    en.wikipedia.org/wiki/Data_and_information...

    be closely integrated with the statistical and verbal descriptions of a data set. Graphics reveal data. Indeed, graphics can be more precise and revealing than conventional statistical computations." [31] For example, the Minard diagram shows the losses suffered by Napoleon's army in the 1812–1813 period.

  7. Probability axioms - Wikipedia

    en.wikipedia.org/wiki/Probability_axioms

    Venn diagram; Tree diagram; The ... From the properties of the empty set ... Intuitive statistics – cognitive phenomenon where organisms use data to make ...

  8. Set theory - Wikipedia

    en.wikipedia.org/wiki/Set_theory

    The empty set is also occasionally called the null set, [11] though this name is ambiguous and can lead to several interpretations. The power set of a set A, denoted (), is the set whose members are all of the possible subsets of A. For example, the power set of {1, 2} is { {}, {1}, {2}, {1, 2} }. Notably, () contains both A and the empty set.

  9. Logical conjunction - Wikipedia

    en.wikipedia.org/wiki/Logical_conjunction

    Venn diagram of . In logic, mathematics and linguistics, and is the truth-functional operator of conjunction or logical conjunction.The logical connective of this operator is typically represented as [1] or & or (prefix) or or [2] in which is the most modern and widely used.