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Some Fractal Set Of Hausdorff Measure Of Calculation

Posted on:2006-01-04Degree:MasterType:Thesis
Country:ChinaCandidate:J WangFull Text:PDF
GTID:2190360152490601Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
This paper consists of three parts.In Part I,the Hausdorff measures of a class of (c, A)-Sierpinski dust have beenobtained on the condition that 1/2≤ c ≤ .In Part II,the Hausdorff measures of a class of generalized (c, A)-Sierpinski dust have been obtained on the condition that 1 ≤ c ≤ m - 1 (m ∈ N~+, and m≥ 3).In Part III,the Hausdorff measures of some classes of generalized (c, A)-Sierpinski dust have been obtained on the condition that c = k(k ∈ N+, 1 ≤ k ≤ m- 1;m ∈ N~+,m ≥ 3)...
Keywords/Search Tags:(c, λ)-Sierpinski dust, Generalized (c, λ)-Sierpinski dust, Practal set, Hausdorff measure and dimension, Self-similar set, Open-set condition.
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