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  2. List of mathematical functions - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_functions

    Algebraic functions are functions that can be expressed as the solution of a polynomial equation with integer coefficients.. Polynomials: Can be generated solely by addition, multiplication, and raising to the power of a positive integer.

  3. Family of sets - Wikipedia

    en.wikipedia.org/wiki/Family_of_sets

    More generally, a collection of any sets whatsoever is called a family of sets, set family, or a set system. Additionally, a family of sets may be defined as a function from a set I {\displaystyle I} , known as the index set, to F {\displaystyle F} , in which case the sets of the family are indexed by members of I {\displaystyle I} . [ 1 ]

  4. Class (set theory) - Wikipedia

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

    The fact that the ordered pair (,) satisfies may be expressed with the shorthand notation () =. Another approach is taken by the von Neumann–Bernays–Gödel axioms (NBG); classes are the basic objects in this theory, and a set is then defined to be a class that is an element of some other class.

  5. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Examples of unexpected applications of mathematical theories can be found in many areas of mathematics. A notable example is the prime factorization of natural numbers that was discovered more than 2,000 years before its common use for secure internet communications through the RSA cryptosystem . [ 127 ]

  6. Directed set - Wikipedia

    en.wikipedia.org/wiki/Directed_set

    For example, by definition, a prefilter or filter base is a non-empty family of sets that is a directed set with respect to the partial order and that also does not contain the empty set (this condition prevents triviality because otherwise, the empty set would then be a greatest element with respect to ).

  7. My wife’s family lives off trust funds and loves to splurge ...

    www.aol.com/finance/wife-family-lives-off-trust...

    The choice affects your entire family, including your children's chance to make memories with their extended family and your wife's ability to enjoy time with the people she loves.

  8. Your family likely wants to avoid political talk this ...

    www.aol.com/family-likely-wants-avoid-political...

    Americans said they are the most grateful for family and friends, 79 percent. Seventy-one percent said they were most grateful for health while freedom ranked third at 58 percent, according to the ...

  9. Nested set collection - Wikipedia

    en.wikipedia.org/wiki/Nested_set_collection

    A nested set collection or nested set family is a collection of sets that consists of chains of subsets forming a hierarchical structure, like Russian dolls. It is used as reference concept in scientific hierarchy definitions, and many technical approaches, like the tree in computational data structures or nested set model of relational databases .

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