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Applied Physics and Mathematics

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POSSIBILITY THEORY IN MATERIAL SCIENCE
A.D. IZOTOV, F.I. MAVRIKIDI

Paper deals with the version of possibility theory, arising in number asymmetry model of fractal topology. It’s complementarity
to standard probability theory as a type of uncertainty is shown. An accordance with axioms of standard theory and basic
notions of material science and technology is demonstrated. An extension of its sense to fivefold and exotic symmetries is highlighted. For motions of inner space of material equations of lattice oscillations, diffusion and steady-state distributions
are formulated.
Keywords: Material science, fractals, possibility theory,p-adic numbers.

Contacts: E-mail: izotov@igic.ras.ru, E-mail: fmavr@hotmail.com

Pp. 51-58.

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