دالة متباينة: الفرق بين النسختين

[[ملف:Injective_function.svg|310px|"310px"|left|thumb|دوال تباينية. تفسير هندسي في [[نظام إحداثي ديكارتي]], المعرفة ب the [[Map (mathematics)|mapping]] ''f'' : ''X'' → ''Y'', whereحيث ''y'' = ''f''(''x''), ''X'' = [[مجال دالة]], ''Y'' = [[range (mathematics)|range of function]], و 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 و range sets – in accordance with the standard diagrams above.]]

[[ملف:Non-injective function2.svg|550px|"550px"|right|thumb|Making functions injective. الدالة السابقة ''f'' : ''X'' → ''Y'' can be reduced to one or more injective functions (say) ''f'' : ''X''₁ → ''Y''₁ و ''f'' : ''X''₂ → ''Y''₂, 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 و range. ''X''₁ و ''X''₂ are مجموعتان جزئيتان من ''X'', ''Y''₁ و ''Y''₂ هما مجموعتان جزئيتان من ''R'': for two regions whereحيث theالدالة initial functionالأولى can be made injectiveتباينية so that one domain element can map to a single range element. That isهكذا, only one ''x'' in ''X'' maps to one ''y'' in ''Y''. ]]