Difference between revisions of "Distributive property"
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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]]. |
| − | + | [[Category:Algebra]] | |
Latest revision as of 11:43, July 13, 2016
In mathematics, if one has two binary operations Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle *} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle *'} over a set Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A } then we say that Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle * } distributes over Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle *' } if for all Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x,y,z} in A Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x*(y*'z) = (x * y) *'(x * z)} . A common example of operations with the distributive property is the example of multiplication distributing over addition.