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THE BOUNDS OF THE GENERAL M AND J SETS AND THE ESTIMATIONS FOR THE HAUSDORFF'S DIMENSION OF THE GENERAL J SET

THE BOUNDS OF THE GENERAL M AND J SETS AND THE ESTIMATIONS FOR THE HAUSDORFF'S DIMENSION OF THE GENERAL J SET
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摘要 The bounds of the general M and J sets were analytically offered. Some of, the bounds were optimal in certain meaning. It not only solved the primary problem of the construction of fractal sets by escape time algorithm, and followed from the conclusion, but also offered two estimations of some special Julia set's Hausdorff's dimension by approximate linearization method. The bounds of the general M and J sets were analytically offered. Some of, the bounds were optimal in certain meaning. It not only solved the primary problem of the construction of fractal sets by escape time algorithm, and followed from the conclusion, but also offered two estimations of some special Julia set's Hausdorff's dimension by approximate linearization method.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第11期1318-1324,共7页 应用数学和力学(英文版)
基金 theNationalNaturalScienceFoundationofChina( 699740 0 8)
关键词 general Mandelbrot set general Julia set Hausdorff's dimension general Mandelbrot set general Julia set Hausdorff's dimension
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