asymptotic dimension 中文意思是什麼
asymptotic dimension
解釋
漸近維數- asymptotic : 漸近的
- 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，...
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Asymptotic normality of multi - dimension quasi - maximum likelihood estimate in generalized linear models with adaptive design
自適應設計廣義線性回歸多維擬似然估計的漸近正態性 -
This thesis discusses maslov ' s method, wavelet transform and their applications to asymptotic evaluation of wave equations in high frequency fields. the method of solving wave equations in caustic domain by symplectic geometrical theory, and the method of simplifying two - dimension wave equations in slowly varying nonhomogeneous medium by wavelet - transform theory are proposed. the caustics phenomena of electromagnetic wave propagation in concave reflector, the singularities of caustics, and the method of computing wave fields in and far away from the caustics in concave reflector are also discussed
本論文探討了maslov方法在波動方程高頻近似中的應用及焦散區的具體求解方法；討論了用小波變換化簡二維非均勻緩變介質條件下的波動方程；本文還討論了凹面反射的焦散現象、凹面反射焦散區的奇性種類，討論了二、三維凹面反射波動場非焦散區、焦散區的計算方法。 -
In capter 2, it is proved that the system possesses a global attractor and a two - side estimate for the fractal dimension of it is presented. in capter 3, several different approximate intertial manifolds of the system are constructed by applying linear galerkin method, method of projecting operator and operator eigenvalue and successive iterative method, and it is proved that arbitary trajectory of the system enters into a small neighbourhood of the global attractor after large time. capter 4 studies the asymptotic attractor of the system by constructing a solution sequence which approaches to the global attractor of the equation in long time, and the dimentional estimate of the asymptotic attractor is given
第二章證明了該系統的整體吸引子的存在性，給出了其分形維數的上下界;第三章利用線性galerkin方法、運算元投射和運算元特徵值方法及逐次迭代方法構造了幾類近似慣性流形，證明了該方程的任意解軌道在長時間后進入整體吸引子的任意小鄰域;第四章構造了一個有限維解序列即該系統的漸近吸引子，證明了它在長時間后無限趨于方程的整體吸引子，並給出了漸近吸引子的維數估計
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