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identity element vs operator

operator vs identity element

identity element and operator both are nouns.

Word NounAdjectiveVerbAdverb
identity element Yes No No No
operator Yes No No No
As nouns, operator is a hypernym of identity element; that is, operator is a word with a broader meaning than identity element:
  • identity element: an operator that leaves unchanged the element on which it operates
  • operator: (mathematics) a symbol or function representing a mathematical operation
identity element (noun) operator (noun)
an operator that leaves unchanged the element on which it operates an agent that operates some apparatus or machine
someone who owns or operates a business
a shrewd or unscrupulous person who knows how to circumvent difficulties
a speculator who trades aggressively on stock or commodity markets
(mathematics) a symbol or function representing a mathematical operation
Difference between identity element and operator

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