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Line 1: − The '''associative property''' is true of an [[algebraic]] system (A,*) [[iff]] (a*b)*c = a*(b*c). This is a desired property because it allows one to unambiguously write algebraic sentences without unnecessary [[bra-ket notation|bracketing]]. For example, one can simply write a*b*c for the above expression, because no matter which order the multiplications are done, the product will be the same.+ − − Common examples of associative operations are [[Associative property of multiplication|multiplication]] and [[Associative property of addition|addition]] of [[real number]]s and [[composition of functions]]. − − [[Category:Algebra]]
Associative property (view source)
Revision as of 14:34, September 13, 2011
, 14:34, September 13, 2011no edit summary
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