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identity element

/ ī-dĕntĭ-tē /

  1. The element of a set of numbers that when combined with another number under a particular binary operation leaves the second number unchanged. For example, 0 is the identity element under addition for the real numbers, since for any real number a, a + 0 = a, and 1 is the identity element under multiplication for the real numbers, since a × 1 = a.


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Example Sentences

The trouble is this: when “leftism” becomes an identity element, it makes leftist politics involuntary.

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identity crisisidentity function