| 释义 |
Mandelbrot, n. Math.|ˈmænd(ə)lbrɒt|
[The name of Benoit B. Mandelbrot (b. 1924), Polish-born American mathematician, who investigated the concept.]
Mandelbrot set, the set of all complex numbers c for which the Julia set of the mapping z→z2+c is connected, where z is a complex variable; the set of all complex numbers c such that under repeated application of the mapping z→z2+c any complex number z remains within a bounded region of the complex plane.
1984Bull. Amer. Math. Soc. XI. 127 Many important open questions regarding quadratics are best phrased in terms of the Mandelbrot set. Ibid. 129 This computer evidence strongly suggests that the Mandelbrot set is also a fractal and that the dynamics always bifurcates according to the same ‘pattern’. 1985Sci. Amer. Aug. 8/1 The boundary of the Mandelbrot set is a fractal, but it is also much more. 1986Nature 16 Oct. 590/2 Peitgen and Richter present high-resolution computer-generated images of the Julia and Mandelbrot sets, vividly coloured to illustrate their important mathematical properties. 1988Bookseller 23 Sept. 1221 Yuval Fischer introduces the fundamentals of a new, extremely efficient algorithm for the Mandelbrot set. 1994J. Barth Once upon Time 180 History is a Mandelbrot Set, infinitely subdivisible. |