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binary operation

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binary operation
n.
An operation, such as addition, that is applied to two elements of a set to produce a third element of the set.
ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.binary operation - an operation that follows the rules of Boolean algebra; each operand and the result take one of two values
binary arithmetic operation, boolean operation
operation - (computer science) data processing in which the result is completely specified by a rule (especially the processing that results from a single instruction); "it can perform millions of operations per second"
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The structure (G,*) under binary operation * is monoid if 1) [for all] x, y [member of] G, x * y [member of] G, 2) [for all] x, y, z [member of] G, (x*y) * z = x* (y*z), that is associative property is satisfied, 3) [for all] x [member of] G, there exists an e [member of] G such that x*e = e*x = x, e is an identity of G.
Refinement in formal proof of equivalence in morphisms over strongly ... by Zafar, Nazir Ahmad; Hussain, Ajmal; Ali, Amir / Journal of Software Engineering and Applications (JSEA)
F]}) x F and define a binary operation "x" on A(F) by [a, b] x [c, d] = [axc, axd + b].
Abelization of quasi-hypergroups, [H.sub.v]-rings and transposition ... by Hoskova, Sarka / Global Journal of Pure and Applied Mathematics
[12] A binary operation S on the interval [0, 1] is called a s-norm, if (S1) ([for all]x [member of] [0, 1]) (S(x; 0) = x), (S2) ([for all]x, y [member of] [0, 1])(S(x, y) = S(y, x)), (S3) ([for all]x, y, z [member of] [0, 1]) (S(x, S(y, z)) = S(S(x, y), z)), (S4) ([for all]x, y, z [member of] [0, 1]) (S(x, y) [less than or equal to] S(x, z) whenever y [less than or equal to] z).
Fuzzy left h-ideals in hemirings with respect to a s-norm by Akram, M.; Dar, K.H. / International Journal of Computational and Applied Mathematics
 
 
 
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