Fractal theory and its applications
WebJun 14, 2024 · Main applications to industry, design of fractal antennas to receive all frequencies and that is used in all cell phones, spacecraft, radars, image processing, … Web4.6.5 Fractal Geometry. Fractal geometry is a way to describe the “texture” of a surface.9 There are four topological dimensions in traditional Euclidean geometry: 0-D for points, 1-D for straight lines, 2-D for planes, and 3-D for volumetric objects like cubes and spheres. An object that is “fractal” has an intermediate dimensionality ...
Fractal theory and its applications
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WebDear Colleagues, Over the last two decades, (fractional) differential equations have become more common in physics, signal processing, fluid mechanics, … WebApplications Image compression Find rules for arbitrary image, work backwards. Get contractions from image. Biological processes Plant growth, cell division, surface area …
WebNov 6, 2024 · A more concise mathematical definition for the fractal is, “a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-sez copy of ... WebOct 31, 2010 · Investigation indicated that fractal and multi-fractal theory had been used widely in scientific field. In the past few years, fractal and multi-fractal had also been …
WebJun 14, 2024 · Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Let us begin with the fractional calculus-fractal … WebAs Fourier transformations of Lp functions are the mathematical basis of various applications, it is necessary to develop Lp theory for 2D-LCT before any further rigorous mathematical investigation of such transformations. In this paper, we study this Lp theory for 1≤p<∞. By defining an appropriate convolution, we obtain a result about the …
WebOct 22, 2003 · Since its original publication in 1990, Kenneth Falconer's Fractal Geometry: Mathematical Foundations and Applications has …
WebNov 7, 2013 · Based on contact fractal theory, a modified MB fractal model, and from the energy dissipation point and considering the mechanism of energy dissipation of joint interfaces, tangential damping and its dissipation factor models of … memorial sayings for daughterWebFeb 1, 2024 · This paper summarizes the latest advances of the third author’s research group on stretched Gaussian distribution underlying the Hausdorff fractal theory and its applications in fitting stretched Gaussian noise. Firstly, the Hausdorff fractal metrics are introduced as an extension of non-Euclidean distance. memorial sayings for fatherMar 31, 2024 · memorial saying for momWebThe research areas are theory and applications of fractal control, nonlinear control, chaos and control, bifurcation control theory and applications, physical oceanography, marine ecology and so on. One book has been published by Springer (Shu-Tang Liu and Pei Wang, Fractal control theory, Springer, 2024.5). memorial sayings for lost loved onesWebMar 22, 2024 · Fractional Calculus and Applied Analysis(FCAA) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order.The high standards of its contents are guaranteed by the prominent members of … memorial sayings for parentsWebMar 20, 2024 · Applications of fractional differentiation in signal analysis, chaos, bioengineering, economics, finance, fractal theory, optics, control systems, artificial intelligence, mathematical biology, nanotechnology and medicine, physics, mechanics, engineering, probability and statistics. Dr. Antonela Toma Prof. Dr. Dorota Mozyrska Dr. … memorial sayings for motorcycle ridersWebMar 26, 2024 · The recently developed fractal analysis and theory of fractals have been applied in many different areas, including biology, health care, urban planning, … memorial sayings for loss of brother