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| Dateititel | The Fractal Geometry of Nature |
| Veröffentlichungsdatum | |
| Sprache | Deutsch |
| ISBN-10 | 3234584944-TGV |
| Digital ISBN | 854-7800369399-NGY |
| Schriftsteller | Dorothea Wallmann |
| Übersetzer | Udonna Faakhir |
| Seitenzahl | 286 Pages |
| Editor | Alma Neubauer |
| E-Book Format | EPub PDF AMZ HWP WRD |
| Dateigröße | 1.88 MB |
| Dateinamen | The Fractal Geometry of Nature.pdf |
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Fractal geometry throws this concept a curve by creating irregular shapes in fractal dimension; the fractal dimension of a shape is a way of measuring that shape's complexity. Now take all of that, and we can plainly see that a pure fractal is a geometric shape that is self-similar through infinite iterations in a recursive pattern and through infinite detail.
The Burning Ship fractal, first described and created by Michael Michelitsch and Otto E. Rössler in 1992, is generated by iterating the function: + = (| | + | |) +, = in the complex plane which will either escape or remain bounded. The difference between this calculation and that for the Mandelbrot set is that the real and imaginary components are set to their respective absolute ...
Fractal, in mathematics, any of a class of complex geometric shapes that commonly have “fractional dimension,” a concept first introduced by the mathematician Felix Hausdorff in 1918. Fractals are distinct from the simple figures of classical, or Euclidean, geometry—the square, the circle, the sphere, and so forth. They are capable…
In fractal geometry, the generalized Hurst exponent has been denoted by H or H q in honor of both Harold Edwin Hurst and Ludwig Otto Hölder (1859–1937) by Benoît Mandelbrot (1924–2010). H is directly related to fractal dimension, D, and is a measure of a data series' "mild" or "wild" randomness. The Hurst exponent is referred to as the "index of dependence" or "index of long-range ...