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V.S. Ivanov, A.S. Balankin, I. Bunin, A.A. Oksogoev (1994)
Sinergetika i fraktaly v materialovedenii
J. Feder (1989)
Fractals
A.D. Morozov (2002)
Vvedenie v teoriyu fraktalov
P. Arutyunov (2001)
Digital Simulation of Fractal MeasurementsRussian Microelectronics, 30
B.B. Mandelbrot (1986)
Fractals in Physics: Proc. 6th Trieste Int. Symp. on Fractals in Physics
P. Arutyunov (2001)
Fractal Analysis of Anisotropic SurfacesRussian Microelectronics, 30
Stephen Wilson (2017)
The Beauty of Fractals: Images of Complex Dynamical Systems by Heinz Otto Peitgen, Peter Richter (review)Leonardo, 21
P.A. Arutyunov (1994)
The Expression of Uncertainty in Measurement: A ReexaminationMikroelektronika, 23
H.-O. Peitgen, P.H. Richter (1986)
The Beauty of Fractals: Images of Complex Dynamical Systems
The structure and properties of the scale factor are explored. This might serve as a complementary characteristic to Hausdorff dimension in the fractal analysis of digital systems. The scale factor helps one reveal self-similarity in patterns of points and number sets created by partitioning a line segment of unit length with the aid of natural numbers. A resultant number set is related to musical notes. A variable pattern of numbers that are powers of 2 or 3 is discovered in a generalized finite sequence of natural numbers. The powers are shown to generate more sophisticated self-similar number sets [1–9].
Russian Microelectronics – Springer Journals
Published: Oct 11, 2004
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