“Mandelbrot set”的概念、定义、翻译、参考文献-科学参考

Mandelbrot set

Physics

A fractal that produces complex self-similar patterns. In mathematical terms, it is the set of values of c that make the series z_n+1=(z_n)²+c converge, where c and z are complex numbers and z begins at the origin (0,0). It was discovered by and named after the Polish-born French mathematician Benoît Mandelbrot (1924–2010).

Mathematics

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.

单词	Mandelbrot set
释义	Mandelbrot set Physics A fractal that produces complex self-similar patterns. In mathematical terms, it is the set of values of c that make the series z_n+1=(z_n)²+c converge, where c and z are complex numbers and z begins at the origin (0,0). It was discovered by and named after the Polish-born French mathematician Benoît Mandelbrot (1924–2010). Mathematics 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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