更改

[[File:P3_Animation_of_the_growth_of_the_Mandelbrot_set_as_you_iterate_towards_infinity.gif|300px|thumb|right|基于不同像素静态迭代数的曼德布洛特集动画]]

[[File:P3_Animation_of_the_growth_of_the_Mandelbrot_set_as_you_iterate_towards_infinity.gif|300px|thumb|right|基于不同像素静态迭代数的曼德布洛特集动画]]

[[File:P4_Mandelbrot_set_image.png|258px|thumb|right|曼德布洛特集的细节部分]]

[[File:P4_Mandelbrot_set_image.png|256px|thumb|right|曼德布洛特集的细节部分]]

'''曼德布洛特集  Mandelbrot set '''是对于复二次多项式 <math>f_c(z)=z^2+c</math>，在固定<math>z=0</math>的前提下，所有使得无限迭代后的结果能保持有限数值（即不发散）的复数<math>c</math> 的集合。即满足数列 <math>f_c(0)</math>, <math>f_c(f_c(0))</math>等在绝对值中保持有界的复数<math>c</math>的集合。

'''曼德布洛特集  Mandelbrot set '''是对于复二次多项式 <math>f_c(z)=z^2+c</math>，在固定<math>z=0</math>的前提下，所有使得无限迭代后的结果能保持有限数值（即不发散）的复数<math>c</math> 的集合。即满足数列 <math>f_c(0)</math>, <math>f_c(f_c(0))</math>等在绝对值中保持有界的复数<math>c</math>的集合。

[[File:P5_Mandelbrot_sequence_new.gif|258px|thumb|right|放大后的曼德布洛特集]]

[[File:P5_Mandelbrot_sequence_new.gif|256px|thumb|right|放大后的曼德布洛特集]]

Its definition is credited to Adrien Douady who named it in tribute to the mathematician Benoit Mandelbrot.[1] The set is connected to a Julia set, and related Julia sets produce similarly complex fractal shapes.

Its definition is credited to Adrien Douady who named it in tribute to the mathematician Benoit Mandelbrot.[1] The set is connected to a Julia set, and related Julia sets produce similarly complex fractal shapes.