Thomae's function: Difference between revisions

Revision as of 16:36, 24 March 2023

Revision as of 16:36, 24 March 2023

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[[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 is not really valued by anyone and 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}}

<math display="block">f(x) =

\begin{cases}