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搜索结果: 1-9 共查到应用数学 Hausdorff相关记录9条 . 查询时间(0.093 秒)
The famous ergodic hypothesis suggests that for a typical Hamiltonian on a typical energy surface nearly all trajectories are dense. KAM theory disproves it.Ehrenfest (The Conceptual Foundations of th...
We show that for the Sitnikov example and for the restricted planar circular 3–body problem the set of oscillatory motions often has maximal Hausdorff dimension. Also, we construct Newhouse domains fo...
We introduce the Hausdorff measure for definable sets in an o-minimal structure, and prove the Cauchy-Crofton and co-area formulae for the o-minimal Hausdorff measure. We also prove that every defina...
In this paper we devote to spaces that are not homotopically hausdorff and study their covering spaces. We introduce the notion of small covering and prove that every small covering of $X$ is the uni...
研究了比自相似集更广泛的一类分形集——s-集,利用Vitali覆盖定理得到了由Hs-几乎处处闭集覆盖所描述的s-集的Hausdorff测度的一个覆盖性质,进而得到了s-straight s-集的Hausdorff测度一个刻画.
Efficient and fast solutions to the problem of computing the Hausdorff metric between two arbitrary grey-scale, digitised images are considered. The more efficient of the techniques proposed here cons...
Cutsets of series form an important class of fractal sets. In this paper, the author obtains the Hausdoff dimension of outset of complex valued Rademacher serise.
给出了有限型子集的Hausdorff测度的一个估计,改进了已有的结果.
本文得到了一类具有线性阻尼且非线性项满足临界增长条件的非线性波动方程整体吸引子的Hausdorff维数、分形维数估计.

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