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