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包含紧算子理想的Toeplitz算子代数的刻画(英文)
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作者 许庆祥 《数学进展》 CSCD 北大核心 2001年第5期432-434,共3页
设G为一个torsion-free的离散群,(G,G+)为一个拟序群.记 TG+(G)为相应的Toeplitz算子代数,K(2(G+))为2(G+)上的紧算子全体.本文证明了 K(2(G+))TG+(G)当且仅当下列两... 设G为一个torsion-free的离散群,(G,G+)为一个拟序群.记 TG+(G)为相应的Toeplitz算子代数,K(2(G+))为2(G+)上的紧算子全体.本文证明了 K(2(G+))TG+(G)当且仅当下列两个条件同时满足:(1)(G,G+)为一个序群;(2)G中存在一个最小的正元. 展开更多
关键词 离散拟序群 TOEPLITZ算子 紧算子 torsion-free离散群 序群 最小正元
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Contrast between 2D inversion and 3D inversion based on 2D high-density resistivity data 被引量:2
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作者 冯德山 戴前伟 肖波 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2014年第1期224-232,共9页
The 2D data processing adopted by the high-density resistivity method regards the geological structures as two degrees, which makes the results of the 2D data inversion only an approximate interpretation;the accuracy ... The 2D data processing adopted by the high-density resistivity method regards the geological structures as two degrees, which makes the results of the 2D data inversion only an approximate interpretation;the accuracy and effect can not meet the precise requirement of the inversion. Two typical models of the geological bodies were designed, and forward calculation was carried out using finite element method. The forward-modeled profiles were obtained. 1% Gaussian random error was added in the forward models and then 2D and 3D inversions using a high-density resistivity method were undertaken to realistically simulate field data and analyze the sensitivity of the 2D and 3D inversion algorithms to noise. Contrast between the 2D and 3D inversion results of least squares inversion shows that two inversion results of high-density resistivity method all can basically reflect the spatial position of an anomalous body. However, the 3D inversion can more effectively eliminate the influence of interference from Gaussian random error and better reflect the distribution of resistivity in the anomalous bodies. Overall, the 3D inversion was better than 2D inversion in terms of embodying anomalous body positions, morphology and resistivity properties. 展开更多
关键词 high-density resistivity method finite element method forward simulation least square inversion 2D inversion 3D inversion apparent resistivity
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