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arXiv · 1608.00430

Fractal analysis of Pi normality

Carlos Sevcik
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Abstract

\begin{abstract} $\pi$, the ratio between a circumference and is radius, is an irrational transcendental number. Fractal analysis is used here to show that $\pi$\textquoteright{s} digit sequence corresponds to a uniformly distributed random succession of independent decimal digits, and that these properties get clearer as the number of digits in the series grows towards infinity; $ 10^9 $ digits were tested in this work. This indicates that $ \pi $ is normal.

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Carlos Sevcik. 2016-07-28. Fractal analysis of Pi normality. https://arxiv.org/abs/1608.00430

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