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Weierstrass function
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== External links == * {{MathWorld|id=WeierstrassFunction|title=Weierstrass function}} (a different Weierstrass Function which is also continuous and nowhere differentiable) * [http://www.apronus.com/math/nodiffable.htm Nowhere differentiable continuous function] proof of existence using [[Banach's contraction principle]]. * [http://www.apronus.com/math/nomonotonic.htm Nowhere monotonic continuous function] proof of existence using the [[Baire category theorem]]. * {{cite web | author = Johan Thim | url = http://epubl.ltu.se/1402-1617/2003/320/index-en.html | title = Continuous Nowhere Differentiable Functions | work = Master Thesis Lulea Univ of Technology 2003 | access-date = 28 July 2006 | archive-date = 22 February 2017 | archive-url = https://web.archive.org/web/20170222141554/http://epubl.ltu.se/1402-1617/2003/320/index-en.html | url-status = dead }} * [http://jonas.matuzas.googlepages.com/mathematicalbeauties Weierstrass function in the complex plane] {{Webarchive|url=https://web.archive.org/web/20090924022258/http://jonas.matuzas.googlepages.com/mathematicalbeauties |date=24 September 2009 }} Beautiful fractal. * [https://doi.org/10.1007%2Fs00041-009-9072-2 SpringerLink - Journal of Fourier Analysis and Applications, Volume 16, Number 1] Simple Proofs of Nowhere-Differentiability for Weierstrass's Function and Cases of Slow Growth * [https://stemblab.github.io/weierstrass/ Weierstrass functions: continuous but not differentiable anywhere] * [https://web.archive.org/web/20250131212739/https://users.math.msu.edu/users/banelson/teaching/104/104_weierstrass.pdf The Weierstrass Function by Brent Nelson at Berkeley, showing non-differentiable] {{Fractals}} [[Category:Theory of continuous functions]] [[Category:Measure theory]] [[Category:Real analysis]] [[Category:Fractal curves]] [[Category:Types of functions]]
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