fractals


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Related to fractals: Mandelbrot set, Mandelbrot

frac·tals

(frak'talz),
Mathematical patterns developed by Benoit Mandelbrot in 1977, in which small parts have the same shape as the whole. Blood vessels and the bronchial tree behave as fractals; some infections and neoplasms also behave as fractals.
[Fr., fr. L. fractus, broken, pp. of frango, to break, + -al]

frac·tals

(frak'tălz)
Mathematical patterns developed by Benoit Mandelbrot in 1977, in which small parts have the same shape as the whole. Blood vessels and the bronchial tree behave as fractals; some infections and neoplasms also behave as fractals.
[Fr., fr. L. fractus, broken, pp. of frango, to break, + -al]
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References in periodicals archive ?
The breakthrough is enabled by the firm's proprietary fractal and metamaterial technology.
Regarding the modeling of the 3D rough fractal surface, we introduce here a bandlimited Weierstrass function of two variables, (1) below, as a straightforward extension of similar Weierstrass functions provided in the past by Jaggard [8] (function of one variable) and by Zaleski [10] (function of two variables).
Fractals in topography: Application to geoarchaeological studies in the surroundings of the necropolis of Dahshur, Egypt.
It was the later advancement of computers that eventually made the mathematical exploration of fractals possible (Berlinghoff & Gouvea, 2004).
For while the fractals can proceed into infinity, a series of paintings presupposes a beginning and an end.
The latest version of Fractals enhances integration options with new ways of getting data into and out of the system, including flexible transaction and event mapping.
The benefit use of fractals in finance was suggested even by their creator, B.
Since the advent of the fractal theory (and its predecessors) the emphasis has been on continuous functions (from Weierstrass map to wavelets) being the discontinuous case minimal.
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.
The use of fractal geometry has therefore been used to describe the irregularities of ECTI profiles taken from the oral mucosa both in normal and abnormal cases.
The total number of 1st order Koch fractals used in the 1st iteration of Koch pentagonal fractal are five as shown in Figure 4(c).
As a consequence of their self-similarity and scale invariance properties, many deterministic fractal antennas with geometrical shapes have been reported to fit these requirements [1-6].