| 释义 |
Mandelbrot set The set of points c in the complex plane for which the repeated application of the function f(z) = z2 + c to the point z = 0 produces a bounded sequence. The set is an extremely complicated object whose boundary is a fractal. It can also be defined as the set of points c for which the Julia set of f(z) is a connected set. The different regions of the Mandelbrot set relate to the different characters of the Julia sets; for example, for c in the main cardioid of the Mandelbrot set f(z) has a single attracting fixed point.
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