Mandelbrot set

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Mandelbrot set

A series of two equations that contain real and imaginary components which, when iterated and plotted on a 2-D graph, depict a highly complex classic fractal pattern. Mandelbrot sets and fractal patterns have been found in branching blood vessels, bronchi and bronchioles, in the heart rate, and in DNA.
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References in periodicals archive ?
We used the standard methodology of defining the Mandelbrot set for function (2).
The Mandelbrot set cannot be built for all time intervals (blocks) mentioned above.
Particularities of the interval (1982-1986), in which the Mandelbrot set exists for the greatest number of coefficients ([a.sub.0], [a.sub.1], [a.sub.2]) reveals the need for a closer examination of the state of global economy in this period of time in order to identify signs of its capacity to maintain stable pace of economic development.
The Mandelbrot set is a graphical image for an infinite number of Julia sets (Sekovanov, 2013).
The Mobius band and Mandelbrot set provide mathematical responses from string theory and geometry, respectively, to support the notion of open systems.
This is a practical application so far--but more profoundly the Mandelbrot set provides a justification for iterative approaches to conceptual and spatial designs.