additive operation

additive operation
An operation, written using the symbol +, that produces the sum of two operands

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  • additive identity — noun An element of an algebraic structure, generally denoted 0, which is an identity for an additive operation (generally denoted +). That is, x + 0 = 0 + x = x for any x in the structure …   Wiktionary

  • Additive identity — In mathematics the additive identity of a set which is equipped with the operation of addition is an element which, when added to any element x in the set, yields x . One of the most familiar additive identities is the number 0 from elementary… …   Wikipedia

  • Additive inverse — In mathematics, the additive inverse, or opposite, of a number a is the number that, when added to a, yields zero. The additive inverse of a is denoted −a. For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive… …   Wikipedia

  • Additive function — Different definitions exist depending on the specific field of application. Traditionally, an additive function is a function that preserves the addition operation:: f ( x + y ) = f ( x ) + f ( y )for any two elements x and y in the domain. An… …   Wikipedia

  • Additive group — In mathematics, an additive group may be*an abelian group, when it is written using the symbol + for its binary operation *the underlying group under addition of a field, ring, vector space or other structure having addition as one of its… …   Wikipedia

  • Additive white Gaussian noise — Explanation= In communications, the additive white Gaussian noise (AWGN) channel model is one in which the only impairment is the linear addition of wideband or white noise with a constant spectral density (expressed as watts per hertz of… …   Wikipedia

  • additive identity — noun Date: 1953 an identity element (as 0 in the group of whole numbers under the operation of addition) that in a given mathematical system leaves unchanged any element to which it is added …   New Collegiate Dictionary

  • additive group — Math. a group in which the operation of the group is addition. * * * …   Universalium

  • additive function — noun A unary function that preserves the addition operation; a unary function f such that for any x and y: f(x + y) = f(x) + f(y) …   Wiktionary

  • additive identity — noun : an identity element (as 0 in the group of whole numbers under the operation of addition) that in a given mathematical system leaves unchanged any element to which it is added * * * Math. an element that when added to a given element in a… …   Useful english dictionary

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