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- W2014564144 abstract "We show that the generic 1/f spectrum problem acquires a natural explanation in a class of scale free solutions to the ordinary differential equations. We prove the existence and uniqueness of this class of solutions and show how this leads to a nonstandard, fuzzy extension of the ordinary framework of calculus, and hence, that of the classical dynamics and quantum mechanics. The exceptional role of the golden mean irrational number is also explained." @default.
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- W2014564144 date "2003-08-01" @default.
- W2014564144 modified "2023-10-16" @default.
- W2014564144 title "The golden mean, scale free extension of real number system, fuzzy sets and 1/f spectrum in physics and biology" @default.
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- W2014564144 doi "https://doi.org/10.1016/s0960-0779(02)00531-3" @default.
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