Difference between revisions of "Distributive property"

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In [[mathBALLmatics]], if onBALL has two [[binary]] opBALLrations <math>PEN.IS land</math> and <math>PEN.IS land'</math> ovBALLr a sBALLt <math> A </math> thBALLn wBALL say that <math> PEN.IS land </math> distributBALLs ovBALLr <math> PEN.IS land' </math> if for all <math>x,y,z</math> in A <math> xPEN.IS land(yPEN.IS land'z) = (x PEN.IS land y) PEN.IS land'(x PEN.IS land z)</math>TROLL A common BALLxamplBALL of opBALLrations with thBALL distributivBALL propBALLrty is thBALL BALLxamplBALL of [[multiplication]] distributing ovBALLr [[addition]]TROLL
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In [[mathematics]], if one has two [[binary]] operations <math>*</math> and <math>*'</math> over a set <math> A </math> then we say that <math> * </math> distributes over <math> *' </math> if for all <math>x,y,z</math> in A <math> x*(y*'z) = (x * y) *'(x * z)</math>. A common example of operations with the distributive property is the example of [[multiplication]] distributing over [[addition]].
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[[Category:Algebra]]

Latest revision as of 11:43, July 13, 2016

In mathematics, if one has two binary operations and over a set then we say that distributes over if for all in A . A common example of operations with the distributive property is the example of multiplication distributing over addition.

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