更改

曼德布洛特集也可以定义为一族'''多项式 Polynomials'''的'''连通轨迹  Connectedness Locus'''。

曼德布洛特集也可以定义为一族'''多项式 Polynomials'''的'''连通轨迹  Connectedness Locus'''。

==基本性质 Basic properties==

== 基本性质 ==

The Mandelbrot set is a compact set, since it is closed and contained in the closed disk of radius 2 around the origin. More specifically, a point {\displaystyle c}{ displaystyle c } belongs to the Mandelbrot set if and only if<math>|P_c^n(0)|\leq 2</math> for all {\displaystyle n\geq 0.}

The Mandelbrot set is a compact set, since it is closed and contained in the closed disk of radius 2 around the origin. More specifically, a point {\displaystyle c}{ displaystyle c } belongs to the Mandelbrot set if and only if<math>|P_c^n(0)|\leq 2</math> for all {\displaystyle n\geq 0.}