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FRACTAL THEORYThe article is devoted to the theoretical aspects of fractal geometry. Such concepts as fractal

AREAS OF APPLICATION OF FRACTAL ALGORITHMS fractals in a branch of algorithmic art which gives the spectacular result; to create different kinds

Fractal Properties of the Universe-laws. The power-laws are evidences of fractality because they may be interpreted through a conception

Quasi-fractals: New possibilities in description of disordered mediaNew generalization of fractals named as quasi-fractals (QF) is introduced for description of wide

Mathematical modeling of non-Fickian mass transport in fractured porous mediaThe paper provides an introduction to fundamental concepts of mathematical modeling of mass

Fractal analysis of the earth topographic models using multi-parametric harmonic analysis complexity of a set (an object). Determining fractal dimensions of different objects allows studying not only

Красота в математическом образовании: синергетическое мировидениеIntroduction. The most important concepts underlying beauty are the mathematical concepts

New relationships connecting a class of fractal objects and fractional integrals in space of smooth functions on a fractal set with fractional integrals is suggested. This approach contains

Fractal approximation of vector functionsWe present a new approach to the approximation of continuous vector-valued functions by fractal

Novel approach to calculation of box dimension of fractal functions of calculation of box dimension of fractal functions' graphs, which are based on fractal interpolation functions

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