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单词 identity element
释义

identity element


identity element

n. The element of a set of numbers that when combined with another number in a particular operation leaves that number unchanged. For example, 0 is the identity element under addition for the real numbers, since if a is any real number, a + 0 = 0 + a = a. Similarly, 1 is the identity element under multiplication for the real numbers, since a × 1 = 1 × a = a. Also called unity.
Thesaurus
Noun1.identity element - an operator that leaves unchanged the element on which it operates; "the identity under numerical multiplication is 1"identity operator, identityoperator - (mathematics) a symbol or function representing a mathematical operation

identity element


identity element

[ī′den·ə‚dē ‚el·ə·mənt] (mathematics) The unique element e of a group where g · e = e · g = g for every element g of the group. Also known as identity.
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identity element


Related to identity element: Inverse element
  • noun

Synonyms for identity element

noun an operator that leaves unchanged the element on which it operates

Synonyms

  • identity operator
  • identity

Related Words

  • operator
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更新时间:2024/9/22 19:40:59