hausdorff space 中文意思是什麼
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We get the estimates of the upper bounds of hausdorff and fractal dimensions for the global attractors. in section 5. 3, the cauchy problem is studied, by using the weighted function space and the interpolating inequality, the existence of the global attractors for the damped generalized coupled nonlinear wave equations in an unbounded domain is proved. in section 5. 4, the time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary conditions is studied, the existence of time periodic soluation of this problem is proved by using the convergence of approximate time periodic solution sequences
第五章，考慮了一類廣義耦合的非線性波動方程組，在第二節中討論了周期初值問題，證明了整體光滑解的存在性和唯一性，得到了整體吸引子，給出了hausdorff維數和分形維數的上界估計；在第三節中討論了cauchy問題，利用加權函數和加權空間的插值不等式，證明了無界區域上整體吸引子的存在性；在第四節中證明了時間周期解的存在性。 -
Compact hausdorff space
緊豪斯道夫空間 -
In the chapter 1, a max - min theorem and a max theorem are proved on local convex topological linear spaces, as an application, it is obtained that there exists optimal mixed strategies in a game with an infinite pure strategy set on a compact hausdorff space on the basis of analytic methods
第一章在局部凸線性拓撲空間上證明了一個極大極小定理與極大定理，作為應用，利用基於分析的方法討論了局中人無限純策略集為緊的hausdorff空間時的最優混合博弈問題。 -
In temporal segmentation a statistical model is used to automatically separate the moving areas from the background in a general video sequence. the spatial segmentation bases on the results of temporal segmentation and using region - growing algorithm in rgb space can locate precise boundary of moving object. lastly, using segment moving object as the initial model, moving object can be tracked by matching an image to a model based on hausdorff distance on a sequence of video, and the model is updated every frame to accommodate for changes in shape
時間分割中採用連續幀間差的統計假設檢驗，確定運動對象的位置，自動地分離出運動區域與背景區域；空間分割中則採用基於顏色的區域增長演算法來精確地提取運動對象的輪廓；最後，將提取到的運動對象作為模板，對后續的視頻序列，用基於hausdorff距離度量匹配，來跟蹤並提取后續幀中運動對象。
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