Math Archives - Time Travel, Quantum Entanglement and Quantum Computing https://stationarystates.com/tag/math/ Not only is the Universe stranger than we think, it is stranger than we can think...Hiesenberg Fri, 22 Jan 2021 18:45:24 +0000 en-US hourly 1 https://wordpress.org/?v=6.8.1 The nowhere continuous function https://stationarystates.com/mathematical-physics/the-nowhere-continuous-function/?utm_source=rss&utm_medium=rss&utm_campaign=the-nowhere-continuous-function Fri, 22 Jan 2021 18:44:24 +0000 http://stationarystates.com/?p=66 For example, the nowhere continuous function      

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]]> For example, the nowhere continuous function

    \[f(x) = \left\{\begin{matrix}1,~~ x\in \mathbb{Q}\\ 0,~~ x\notin \mathbb{Q}\end{matrix}\right.\]

 

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