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identity element

NOUN
  1. an operator that leaves unchanged the element on which it operates
    the identity under numerical multiplication is 1

How To Use identity element In A Sentence

  • Group theory studies not a single structure, but a type of structure, the pattern common to collections of objects with a binary operation, an identity element thereon, and inverses for each element.
  • The use-caller-identity element specifies that the caller's security identity be used as the security identity for the execution of the enterprise bean's methods.
  • Group theory studies not a single structure, but a type of structure, the pattern common to collections of objects with a binary operation, an identity element thereon, and inverses for each element.
  • The Lie algebra as a vector space can be identified with the tangent space at the identity element of the group.
  • First, among the operations there must be an identity element - an operation that leaves the system unchanged.
  • For example, the collection of integers under addition is a group (the identity element is 0), and groups occur throughout mathematics from geometry to combinatorics to cryptography.
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