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Fabius function

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In mathematics, the Fabius function is an example of a smooth function that is not analytic anywhere, found by Fabius (1966).

References

Fabius, J. (1966), "A probabilistic example of a nowhere analytic C-function", Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 5: 173–174, MR0197656