identity element definition

  • noun:
    • The part of a set of figures that when combined with another quantity in a specific procedure renders that quantity unchanged. Like, 0 may be the identification factor under addition for real numbers, since if a is any genuine number, a + 0 = 0 + a = a. Similarly, 1 is the identity element under multiplication when it comes to genuine figures, since a × 1 = 1 × a = a. Also called unity.
    • an associate of a structure which, when placed on some other factor via a binary procedure causes an identity mapping; much more especially, offered a procedure *, a feature I is
    • an operator that makes unchanged the element which it operates

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