identity

/ai'dentiti/
Noun
  1. exact sameness
    • they shared an identity of interests
  2. an operator that leaves unchanged the element on which it operates
    • the identity under numerical multiplication is 1
  3. the individual characteristics by which a thing or person is recognized or known
    • geneticists only recently discovered the identity of the gene that causes it
    • it was too dark to determine his identity
    • she guessed the identity of his lover
  4. the distinct personality of an individual regarded as a persisting entity
    • you can lose your identity when you join the army

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identity
A student shows her student identity card to enter the library.