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Related to fractal geometry: Mandelbrot set, Fractals
A fragmented geometric shape that can be split into parts, each of which approximates a reduced-size copy of the whole, a property which is called self-similarity. Fractals provide the mathematics behind structures in the natural universe—e.g., frost crystals, coastlines, etc.—which cannot be described by the language of euclidean geometry. Fractal analysis is providing new ways to interpret biomedical phenomena. It has been used for classifying histopathology, enzymology, and signal and image compression
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Fractal geometry has proven to be a very valuable instrument in various fields.
The three conferences memorialized the passing of Mandelbrot, widely considered the founder of fractal geometry, and the 18 papers here are a selection from all of them.
5-7) In present days, scientists strongly have opinion that fractal geometry is a revolutionary area of mathematics which has deep impact on every branch of science including medical fields.
The configuration of Cross Snowflake fractal geometry becomes quite unwieldy for the iterations higher than the second iteration.
2] ABFH antenna has lower value due to impedance transformation of fractal geometry and coaxial cable.
With Fractal geometry it is possible to represent infinite number of irregular shapes, non-linear, which at the end to represent rough objects.
Examples of the use of fractal geometry in terrestrial habitats include the investigations by Dannowski and Block (2005), who related water absorption of shrubs with the structural complexity of their roots, and De Jager and Pastor (2008), who evaluated the population density of moose upon the fractal geometry of plant canopies.
Fractal geometry was introduced and popularized by Mandelbrot (1977) to model natural shapes (e.
When the geometry of the coastlines turns to be affected, a level of complexity or of ruggedness that can be quantified through the concepts of the Fractal Geometry shows up thanks to the calculation of its fractal dimension (D).
The proposed process is based on the elements of the fractal geometry.
Soler --Broad-Band Dual-Frequency Microstrip Patch Antenna With Modified Sierpinski Fractal Geometry [] IEEE Trans .