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  2. Associative property - Wikipedia

    en.wikipedia.org/wiki/Associative_property

    1.000 2 ×2 0 + (1.000 2 ×2 0 + 1.000 2 ×2 4) = 1.000 2 ×2 0 + 1.000 2 ×2 4 = 1.00 0 2 ×2 4 Even though most computers compute with 24 or 53 bits of significand, [ 8 ] this is still an important source of rounding error, and approaches such as the Kahan summation algorithm are ways to minimise the errors.

  3. Algebra of sets - Wikipedia

    en.wikipedia.org/wiki/Algebra_of_sets

    The algebra of sets is the set-theoretic analogue of the algebra of numbers. Just as arithmetic addition and multiplication are associative and commutative, so are set union and intersection; just as the arithmetic relation "less than or equal" is reflexive, antisymmetric and transitive, so is the set relation of "subset".

  4. 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 :

  5. Set (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Set_(mathematics)

    A set of polygons in an Euler diagram This set equals the one depicted above since both have the very same elements.. In mathematics, a set is a collection of different [1] things; [2] [3] [4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other ...

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  7. Algebraic structure - Wikipedia

    en.wikipedia.org/wiki/Algebraic_structure

    These equations induce equivalence classes on the free algebra; the quotient algebra then has the algebraic structure of a group. Some structures do not form varieties, because either: It is necessary that 0 ≠ 1, 0 being the additive identity element and 1 being a multiplicative identity element, but this is a nonidentity;

  8. Set theory - Wikipedia

    en.wikipedia.org/wiki/Set_theory

    The empty set is also occasionally called the null set, [8] 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} }.

  9. Chloë Sevigny Ditches the Red Trend for Something Rustier - AOL

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    And to complete the fit, Sevigny slipped into a pair of transparent black tights, as well as a set of golden block heels, also from Saint Laurent, which had square toes and straps around the ankles.

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