hausdorff dimension 中文意思是什麼

hausdorff dimension 解釋
豪斯多夫維數
  • dimension : n 1 尺寸。2 【數學】次元，度（數），維（數）。3 【物理學】因次，量網。4 〈pl 〉容積；面積；大小，...
  1. Based on the fractal geometry theory, this paper constructed the fractal geometry of road network, and applied the hausdorff dimension to the overall evaluation of road network

    摘要基於分形幾何學理論，構建了公路網的分維數概念，並將其應用於公路網規劃整體性評價。
  2. The hausdorff dimension of fractals generated from representing system

    廣義自相似集的維數
  3. Futhermore, we studied that the hausdorff dimension of its inverse image set

    進一步，研究了非退化擴散過程的樣本軌道的逆像集的hausdorff維數。
  4. The hausdorff and packing dimension of inverse image and level sets of n - dimension nondegenerate diffusion processes

    維非退化擴散過程樣本逆象集與水平集的分形性質
  5. In this paper, we obtained the hausdorff dimension of image set for n 1. however, the proving method is distinct from [ 1 ]

    本文對n 1時，得到了象集的hausdorff維數，但證明方法則有別于文[ 1 ] 。
  6. There are some results " on the study of a n - dimensional nondegenerate diffusion process. in [ 1 ], for n 2, the hausdorff dimension of image set of its sample path is obtained, but for n = l, only its upper bound estimate ( see [ 2 ] )

    文[ 1 ]得到了n維（ n 2 ）非退化擴散過程樣本軌道的象集的hausdorff維數，而對n = 1時，只得到了其象集的hausdorff維數的一個上界估計（見[ 2 ] ） 。
  7. Furthermore, we point out that for any interval lipschitz map with positive topological entropy there is a chaotic set with positive hausdorff dimension

    特別指出，對具有正熵的lipschitz區間映射而言，存在正hausdorff維數的混沌集。
  8. The estimate of the hausdorff dimension of self - similar measure under double lipschitz condition

    條件下自相似測度的維數估計
  9. The other is a measure dimension estimate for graph - directed iterated function systems when they satisfy the double lipschitz condition and the sosc. we obtain the lower and upper bound estimate for the hausdorff dimension of a list of useful measures

    其二是當圖迭代函數系統滿足雙lipschitz條件及強開集條件的情況下，我們得到了一類相應的圖吸引子上的測度維數的上下界的估計。
  10. We obtain an estimation about the hausdorff dimension of self - affine sets

    摘要本文給出了一類自仿集的維數估計式。
  11. Based on the results, we calculate a upper bound or a lower bound of the hausdorff dimension of some self - affine sets

    利用它們可方便地求出某些自仿集維數的上界或下界。
  12. One is the equivalence of the osc ( open set condition ), the sosc ( strong open set condition ), and positivity of hausdorff measure of the graph directed self - conformal sets in their dimension ( when the system is made up of conformal maps, the attractor is called a self - conformal set )

    我們在第二章中得到了關于r ~ d空間中的圖函數迭代系統的兩個結論。其一是關于圖迭代自共性集合的開集條件，強開集條件，及正hausdorff測度之間的等價性。
  13. Hausdorff dimension theorems for operator - self - similar markov processes

    過程的像集和圖集的一致維數
  14. In chapter 4. we discuss the hausdorff dimension of chaotic sets for interval self - maps

    第四章研究了區間映射混沌集的hausdorff維數。
  15. Some sufficient conditions that there is a chaotic set for interval self - map with positive hausdorff dimension were obtained

    得到了，區間映射存在正hausdorff維數混沌集的一些充分條件。
  16. In [ 3 ], it was shown that the hausdorff dimension of level set of one - dimensional brownian sample paths is 1 / 2 with probability 1

    文[ 3 ]證明了對於一維brown運動，幾乎所有的樣本軌道的水平集的hausdorff維數是1 / 2 。
  17. In this thesis, with the aid of this paper, the author has discussed the hausdorff dimension and packing dimension of the level sets and inverse image of n - dimension non - degenerate diffusion processes

    楊新建教授在文獻[ 1 ]中研究了擴散過程樣本的hlder連續性，並將其應用於求擴散過程像集與圖集的hausdorff維數。
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