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دالة متباينة: الفرق بين النسختين

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== أمثلة ==
[[ملف:Injective_function.svg|310px|"310px"|left|thumb|Injectiveدوال functionsتباينية. Diagramatic interpretation in the [[Cartesian plane]], defined by the [[Map (mathematics)|mapping]] ''f'' : ''X'' → ''Y'', where ''y'' = ''f''(''x''), ''X'' = [[Domain of a function|domain of function]], ''Y'' = [[range (mathematics)|range of function]], and im(''f'') denotes [[Image (mathematics)|image]] of ''f''. Every one ''x'' in ''X'' maps to exactly one unique ''y'' in ''Y''. The circled parts of the axes represent domain and range sets – in accordance with the standard diagrams above.]]
 
[[ملف:Non-injective function1.svg|400px|"400px"|right|thumb|Notدالة anغير injectiveتباينية function. Here ''X''<sub>1</sub> and ''X''<sub>2</sub> are subsets of ''X'', ''Y''<sub>1</sub> and ''Y''<sub>2</sub> are subsets of ''Y'': for two regions where the function is not injective because more than one domain [[Element (mathematics)|element]] can map to a single range element. That is, it is possible for ''more than one'' ''x'' in ''X'' to map to the ''same'' ''y'' in ''Y''.]]
 
[[ملف:Non-injective function2.svg|550px|"550px"|right|thumb|Making functions injective. The previous function ''f'' : ''X'' → ''Y'' can be reduced to one or more injective functions (say) ''f'' : ''X''<sub>1</sub> → ''Y''<sub>1</sub> and ''f'' : ''X''<sub>2</sub> → ''Y''<sub>2</sub>, shown by solid curves (long-dash parts of initial curve are not mapped to anymore). Notice how the rule ''f'' has not changed – only the domain and range. ''X''<sub>1</sub> and ''X''<sub>2</sub> are subsets of ''X'', ''Y''<sub>1</sub> and ''Y''<sub>2</sub> are subsets of ''R'': for two regions where the initial function can be made injective so that one domain element can map to a single range element. That is, only one ''x'' in ''X'' maps to one ''y'' in ''Y''. ]]
مجلوبة من «https://ar.wikipedia.org/wiki/دالة_متباينة»