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- W1554492866 abstract "We investigate the topological structure of the decimal expansions of the three famous naturally occurring irrational numbers, $pi$, $e$, and golden ratio, by explicitly calculating the diversity of the pair distributions of the ten digits ranging from 0 to 9. And we find that there is a universal two-phase behavior, which collapses into a single curve with a power law phenomenon. We further reveal that the two-phase behavior is closely related to general aspects of phase transitions in physical systems. It is then numerically shown that such characteristics originate from an intrinsic property of genuine random distribution of the digits in decimal expansions. Thus, mathematical irrational numbers are not so physically irrational as long as they have such an intrinsic property." @default.
- W1554492866 created "2016-06-24" @default.
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- W1554492866 date "2009-01-07" @default.
- W1554492866 modified "2023-09-27" @default.
- W1554492866 title "Mathematical irrational numbers not so physically irrational" @default.
- W1554492866 hasPublicationYear "2009" @default.
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