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strong separation open set condition
相关语句
  强分离开集条件
     On the Hausdorff Measure of the Self-similar Sets Satisfying the Strong Separation Open Set Condition
     关于满足强分离开集条件的自相似集的Hausdorff测度
短句来源
     If E satisfies the strong separation open set condition (SSC), then there exists a series of contracting-copy-group {Ui} and a compact set U(|U| > 0) such that Hs(U) = |U|s and moreover, {Ui} converges to U with respect to Hausdorff metric.
     利用部分估计原理得到了本文的主要结果:若E满足强分离开集条件,则在E中存在一个压缩拷贝串序列{Ui}和紧集U(|U|>0),使得Hs(U)等于|U|s,并且{Ui}按Hausdorff度量收敛到U,进而证明了由U可以构造一个数列,使得该数列正好收敛到Hs(E);
短句来源
  相似匹配句对
     On the Hausdorff Measure of the Self-similar Sets Satisfying the Strong Separation Open Set Condition
     关于满足强分离开集条件的自相似集的Hausdorff测度
短句来源
     Problems in Fractal Geometry——Open Set Condition and Strong Open Set Condition
     分形几何的前沿问题——开集条件与强开集条件
短句来源
     A Note on the Local Dimension of Self-similar Measure Satisfying the Strong Open Set Condition
     关于满足强开集条件的自相似测度的局部维数的注记(英文)
短句来源
     The separation condition was optimized.
     考察了色谱条件对对二乙基苯中几种含氧化合物分离效果的影响。
短句来源
     On S-L Set and S-Separation Axioms
     关于S-L集与S-分离性公理
短句来源
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For any E (?) Rn, denote by dimH(E) and Hs(E) the Hausdorff dimension and s-dimensional Hausdorff measure of E, where s is equal to dimH(E). Suppose E is the attractor of the IFS {S1,…,Sm} consisting of similarities. If E satisfies the strong separation open set condition (SSC), then there exists a series of contracting-copy-group {Ui} and a compact set U(|U| > 0) such that Hs(U) = |U|s and moreover, {Ui} converges to U with respect to Hausdorff metric. Besides, we introduce the concept of fixed...

For any E (?) Rn, denote by dimH(E) and Hs(E) the Hausdorff dimension and s-dimensional Hausdorff measure of E, where s is equal to dimH(E). Suppose E is the attractor of the IFS {S1,…,Sm} consisting of similarities. If E satisfies the strong separation open set condition (SSC), then there exists a series of contracting-copy-group {Ui} and a compact set U(|U| > 0) such that Hs(U) = |U|s and moreover, {Ui} converges to U with respect to Hausdorff metric. Besides, we introduce the concept of fixed point for the similar contraction mappings and obtain a necessary condition for the equality Hs(E ∩ U) = |U|s.

设E是Rn中由相似压缩S1,S2,…,Sm所确定的满足开集条件的自相似集,其Hausdorff维数为s,其s-维Hausdorff测度记为Hs(E).利用部分估计原理得到了本文的主要结果:若E满足强分离开集条件,则在E中存在一个压缩拷贝串序列{Ui}和紧集U(|U|>0),使得Hs(U)等于|U|s,并且{Ui}按Hausdorff度量收敛到U,进而证明了由U可以构造一个数列,使得该数列正好收敛到Hs(E);另外,引入了自相似集的相似压缩不动点,得到了等式Hs(E∩U)=|U|s 成立的一个必要条件.

 
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