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Line 1: {{Short description\|Function that is discontinuous at rationals and continuous at irrationals}} [[File:Thomae function (0,1).svg\|200px\|right\|thumb\|Point plot on the [[interval (mathematics)\|interval]] (0,1). The topmost point in the middle shows ''f''(1/2) = 1/2.]] '''Thomae's function''' is a [[real number\|real]]-valued [[function (mathematics)\|function]] of a real variable that can be defined as:<ref name="Beanland">{{Citation \|last1=Beanland \|first1=Kevin \|last2=Roberts \|first2=James W. \|last3=Stevenson \|first3=Craig \|date=2009 \|title=Modifications of Thomae's Function and Differentiability \|journal=The American Mathematical Monthly \|volume=116 \|issue=6 \|pages=531–535 \|jstor=40391145 \|doi=10.4169/193009709x470425}}</ref>{{rp\|p=531}}

Thomae's function: Difference between revisions