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On the Lower Bound of the Hausdorff Measure of the Koch Curve 被引量:8

On the Lower Bound of the Hausdorff Measure of the Koch Curve
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摘要 This paper gives a lower bound of the Hausdorff measure of the Koch curve bymeans of the mass distribution principle. This paper gives a lower bound of the Hausdorff measure of the Koch curve bymeans of the mass distribution principle.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2003年第4期715-728,共14页 数学学报(英文版)
关键词 Koch curve Hausdorff dimension Hausdorff measure Koch curve Hausdorff dimension Hausdorff measure
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参考文献4

  • 1Falconer K J. Fractal Geometry-Mathematical Foundations and Applications, John and Sons, New York,1990.
  • 2Zhou Z L. The Hausdorff measure of self-similar sets-Koch curve. Science in China (Series A), 28(2),103-107 (1998) (in Chinese).
  • 3Zhou Z L. The Hausdorff measure of Koch curve and Sierpinski gasket. Prog in Nat Sci, 7(4), 405-409(1997) (in Chinese).
  • 4Marior J. Measure de Hausdorff D'Ensembles Fractals. Ann Soc Math Quebec, 11(1), 111-132 (1987).

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