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arXiv · 1609.07999

Evaluating the Fabius function

Jan Kristian Haugland
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Abstract

The Thue-Morse sequence (1, -1, -1, 1, -1, 1, 1, ...) can in a sense be naturally extended to a continuous function f called the Fabius function. It is shown how to determine the exact value of f(x) whenever x is the ratio between a positive integer and a power of 2.

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Jan Kristian Haugland. 2016-09-23. Evaluating the Fabius function. https://arxiv.org/abs/1609.07999

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