identity element

identity element

noun Mathematics.
identity ( def 9b ).

Origin:
1900–05

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Science Dictionary
identity element   (ī-děn'tĭ-tē)  Pronunciation Key 
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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