trivial identity

trivial identity
мат. тривиальное тождество

Большой англо-русский и русско-английский словарь. 2001.

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  • Trivial group — In mathematics, a trivial group is a group consisting of a single element. All such groups are isomorphic so one often speaks of the trivial group. The single element of the trivial group, variously labeled e , 1, or 0, is the identity element.… …   Wikipedia

  • Identity (philosophy) — In philosophy, identity, from Latin: identitas (“sameness”), is the relation each thing bears just to itself. [1] According to Leibniz s law two things sharing every attribute are not only similar, but are the same thing. The concept of sameness… …   Wikipedia

  • Trivial (mathematics) — In mathematics, the term trivial is frequently used for objects (for examples, groups or topological spaces) that have a very simple structure. For non mathematicians, they are sometimes more difficult to visualize or understand than other, more… …   Wikipedia

  • Trivial ring — A trivial ring is a ring defined on a singleton set, { r }. The ring operations ( times; and +) are trivial: :r imes r = r:r + r = r , Clearly this ring is commutative. Its single element is both the additive and the multiplicative identity… …   Wikipedia

  • Trivial representation — In the mathematical field of representation theory, a trivial representation is a representation ( V , phi; ) of a group G on which all elements of G act as the identity mapping of V . A trivial representation of an associative or Lie algebra is… …   Wikipedia

  • Identity function — In mathematics, an identity function, also called identity map or identity transformation, is a function that always returns the same value that was used as its argument. In terms of equations, the function is given by f ( x ) = x… …   Wikipedia

  • trivial — adjective 1》 of little value or importance. 2》 Mathematics denoting a subgroup that either contains only the identity element or is identical with the given group. Derivatives triviality noun (plural trivialities). trivially adverb Word History… …   English new terms dictionary

  • Trivial File Transfer Protocol — simple protocol for transferring files, simple version of FTP that does not have the ability to check user identity, TFTP …   English contemporary dictionary

  • Roy's identity — (named for French economist Rene Roy) is a major result in microeconomics having applications in consumer choice and the theory of the firm. The lemma relates the ordinary demand function to the derivatives of the indirect utility function.… …   Wikipedia

  • Additive identity — In mathematics the additive identity of a set which is equipped with the operation of addition is an element which, when added to any element x in the set, yields x . One of the most familiar additive identities is the number 0 from elementary… …   Wikipedia

  • Passing (racial identity) — Examples US civil rights leader Walter Francis White (who was blond haired, blue eyed, and very pale skinned), the chief executive of the NAACP from 1929 until his death in 1955, was of mixed race and mostly white ancestry. Five of his great… …   Wikipedia


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