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Weyl群的长度函数的几个性质
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作者 谭荣刚 《现代电力》 1995年第4期98-103,共6页
讨论了复半单李代数的Weyl群的长度函数的性质。Weyl群的长度函数与根系的关系,以及有某一长度的Weyl群元素的个数等。这些性质在讨论李代数的不可约表示中是很有用的。
关键词 李群 长度函数 复半单李代数
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圈积的词长度公式
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作者 吴艳 王志杰 花家杰 《数学年刊(A辑)》 CSCD 北大核心 2017年第3期327-338,共12页
利用Fordham的技巧证明了圈积群HιZ的一个词长度公式,其中H是一个有限生成群,Z是整数群.
关键词 长度函数 圈积 有限生成群
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C~*-代数的有限维量化度量空间逼近(英文)
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作者 花家杰 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第3期1-7,共7页
矩阵序单位空间(A,1)和矩阵Lip-范数■构成了量子化的度量空间(A,■).通过研究紧群G在C*-代数A上的作用,证明了由紧群G作用的C*-代数A决定的量子化的度量空间(A,■),存在一个有限维的量子化的度量空间序列(An,■^(n)),使得{(An,■^(n))... 矩阵序单位空间(A,1)和矩阵Lip-范数■构成了量子化的度量空间(A,■).通过研究紧群G在C*-代数A上的作用,证明了由紧群G作用的C*-代数A决定的量子化的度量空间(A,■),存在一个有限维的量子化的度量空间序列(An,■^(n)),使得{(An,■^(n))}按照量子化的Gromov-Hausdorff距离收敛到(A,■^(n)). 展开更多
关键词 量子化的度量空间 量子化的Gromov-Hausdorff距离 遍历作用 长度函数
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Modeling of rough surfaces with given roughness parameters 被引量:2
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作者 周炜 唐进元 +1 位作者 何艳飞 朱才朝 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第1期127-136,共10页
Modeling of rough surfaces with given roughness parameters is studied,where surfaces with Gaussian height distribution and exponential auto-correlation function(ACF) are concerned.A large number of micro topography sa... Modeling of rough surfaces with given roughness parameters is studied,where surfaces with Gaussian height distribution and exponential auto-correlation function(ACF) are concerned.A large number of micro topography samples are randomly generated first using the rough surface simulation method with FFT.Then roughness parameters of the simulated roughness profiles are calculated according to parameter definition,and the relationship between roughness parameters and statistical distribution parameters is investigated.The effects of high-pass filtering with different cut-off lengths on the relationship are analyzed.Subsequently,computing formulae of roughness parameters based on standard deviation and correlation length are constructed with mathematical regression method.The constructed formulae are tested with measured data of actual topographies,and the influences of auto-correlation variations at different lag lengths on the change of roughness parameter are discussed.The constructed computing formulae provide an approach to active modeling of rough surfaces with given roughness parameters. 展开更多
关键词 micro topography rough surface ROUGHNESS active modeling
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Modeling and characterization of novel magnetorheological(MR) cell with individual currents
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作者 郑佳佳 王新杰 +2 位作者 欧阳青 李延成 王炅 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第7期2557-2567,共11页
Magnetorheological(MR) cell with multi-coil was designed to enlarge the range of controllable transmission torque by increasing the effective length. Individual input current was proposed to maximize its potential for... Magnetorheological(MR) cell with multi-coil was designed to enlarge the range of controllable transmission torque by increasing the effective length. Individual input current was proposed to maximize its potential for reducing power consumption and generating large yield stress. Finite element analysis was performed to analyze magnetic field distribution, based on which a prototype MR cell was fabricated and tested to investigate the performance of various combinations of individual input currents. A good correlation was identified between experimental results and FEA predications. The results show that the power consumption can be reduced to 42.4%, maintaining large transmission torque, by distributing the total current(2 A) to three individual magnetic coils. In addition, optimal results of four input currents considering a multi-objective function are obtained by changing the weighting factor λ. The advantage of this design, such as lower power consumption and more control flexibility, makes it more competitive in engineering applications that require large energy consumption. 展开更多
关键词 magnetorheological(MR) cell multi-coil individual current power consumption optimization
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