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sl(n+1)的次正则幂零表示的同态空间(英文)
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作者 李宜阳 舒斌 叶刚 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2018年第3期18-24,45,共8页
令李代数g=sl(n+1)的基域是特征为素数p的代数闭域k且满足pn+1.本文在g的次正则幂零表示中,证明了相同块中的任意两个小Verma模的同态是非零的.这揭示了小Verma模之间的完整联系.
关键词 标准Levi型 小Verma模 次正则幂零 同态空间
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Fuzzy线性空间的同态与商空间
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作者 刘锡龙 《江苏师范大学学报(自然科学版)》 CAS 1990年第1期21-25,共5页
本文首先讨论Fuzzy线性空间同态的问题,然后讨论一个线性空间中的Min—Fuzzy线性空间关于平常子空间的商空间的概念和基本事实,最后讨论Min—Fuzzy线性空间与商空间之间的一种关系。本文可以认为是[5]的一个续篇。
关键词 Fuzzy线性空间的准同态 同态 Fuzzy商空间
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超Heisenberg-Virasoro代数的Hom-李超代数结构
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作者 黄忠铣 《武夷学院学报》 2024年第6期7-11,共5页
Hom-李超代数是由Hom-李代数的推广演化发展而来,Hom-李代数是一类同时满足反对称和HomJacobi等式的非结合代数。试图进一步确定超Heisenberg-Virasoro代数上的Hom-李超代数结构,证明超HeisenbergVirasoro代数上的Hom-李超代数结构是非... Hom-李超代数是由Hom-李代数的推广演化发展而来,Hom-李代数是一类同时满足反对称和HomJacobi等式的非结合代数。试图进一步确定超Heisenberg-Virasoro代数上的Hom-李超代数结构,证明超HeisenbergVirasoro代数上的Hom-李超代数结构是非平凡的。 展开更多
关键词 超Heisenberg-Virasoro代数 Hom-李超代数 偶超空间同态
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基于空间域低通滤波算子的其他频谱特性算子获得方法研究
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作者 张康 《科技广场》 2013年第9期6-8,共3页
图像滤波处理是图像处理的重要内容。图像可以在空间域利用卷积运算实现滤波处理,常用的滤波处理有低通滤波、高通滤波、高频强调滤波和同态滤波。本文首先介绍了图像不同区域的频谱分布情况和空间低通滤波算子的特性,然后基于卷积运算... 图像滤波处理是图像处理的重要内容。图像可以在空间域利用卷积运算实现滤波处理,常用的滤波处理有低通滤波、高通滤波、高频强调滤波和同态滤波。本文首先介绍了图像不同区域的频谱分布情况和空间低通滤波算子的特性,然后基于卷积运算和傅里叶变换的性质,利用空间域低通滤波算子,获得空间域高通、高频强调和同态滤波算子的方法。 展开更多
关键词 数字图像处理 空间滤波算子 空间同态滤波算子
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缓解平滑区域光晕和偏色失真的图像去雾算法 被引量:6
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作者 宋传鸣 唐媛 +2 位作者 乔明泽 刘霜 刘丹 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2022年第6期953-969,共17页
针对基于暗通道先验的去雾算法在平滑区域产生光晕和偏色失真的问题,提出一种双边滤波引导同态滤波的去雾算法.首先,构建一种以原始像素值与大气光值的差为正比例系数、以透射率为反比例系数的非线性拉伸模型,用于表征各颜色分量在去雾... 针对基于暗通道先验的去雾算法在平滑区域产生光晕和偏色失真的问题,提出一种双边滤波引导同态滤波的去雾算法.首先,构建一种以原始像素值与大气光值的差为正比例系数、以透射率为反比例系数的非线性拉伸模型,用于表征各颜色分量在去雾前后的对比关系;然后,采用双边滤波引导的空间域同态滤波,把粗透射率分解为大气光分量和场景目标反射分量;最后,以前景区域面积比为自变量,定义一种自适应加权函数,对大气光分量和反射分量进行线性加权以生成精细透射率,进而利用暗通道先验模型完成去雾.采用O-HAZE和RESIDE数据集的真实含雾图作为测试数据,通过UCIQE,FADE,SSIM,NIQE和色彩还原度客观评价指标进行对比,所提算法的评价结果比典型算法平均提高了21.68%.结果表明,所提算法能够有效地避免大面积平滑区域的偏色失真以及景物边缘、轮廓处的光晕和伪边缘效应,取得更高的主客观质量. 展开更多
关键词 图像去雾 暗通道先验 空间同态滤波 双边滤波 自适应线性加权
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Inductive Topologies of L-fuzzy Topological Vector Spaces
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作者 严从华 《Chinese Quarterly Journal of Mathematics》 CSCD 2001年第2期22-29,共8页
In this paper, using the theory of L _fuzzy topological vector spaces [1]-[6] , we study some properties of L _fuzzy inductive topologies determined by a family of L _fuzzy linerar order_homomorphisms... In this paper, using the theory of L _fuzzy topological vector spaces [1]-[6] , we study some properties of L _fuzzy inductive topologies determined by a family of L _fuzzy linerar order_homomorphisms [2] of L _ftvs, and give a characterization of inductive topologies determined by a single FLOH. As an application of this results, we prove that the quotient space of L _ftvs is also L _ftvs. 展开更多
关键词 L _fuzzy linear order_homomorphism L _ftvs L _flctvs inductive L _fuzzy topology
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Lattice Im plication Homom orphism inIm plication Filter Spaces 被引量:1
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作者 宋振明 王建平 《Chinese Quarterly Journal of Mathematics》 CSCD 1998年第4期17-23, ,共7页
In this paper,we investigate some special properties of lattice implication homomorphism in implication filter spaces. We show that lattice implication homomorphism is a continuous function with respect to implication... In this paper,we investigate some special properties of lattice implication homomorphism in implication filter spaces. We show that lattice implication homomorphism is a continuous function with respect to implication filter topology. Moreover,we give a structural characterstic of left translation topology and right translation topology,which finally leads to the structural characteristics of product topology. 展开更多
关键词 lattice implication homomorphism implication filter spaces implication filter topology
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Ramond N=2超共形代数上的Hom-李超代数结构 被引量:1
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作者 黄忠铣 《中央民族大学学报(自然科学版)》 2022年第1期5-13,共9页
Hom-李超代数是由Hom-李代数推广而来,Hom-李代数是一类满足反对称和Hom-Jacobi等式的非结合代数。Ramond N=2超共形代数与Virasoro代数,Neveu-Schwarz N=1代数及Ramond N=1超代数密切相关。本文确定了Ramond N=2超共形代数上的Hom-李... Hom-李超代数是由Hom-李代数推广而来,Hom-李代数是一类满足反对称和Hom-Jacobi等式的非结合代数。Ramond N=2超共形代数与Virasoro代数,Neveu-Schwarz N=1代数及Ramond N=1超代数密切相关。本文确定了Ramond N=2超共形代数上的Hom-李超代数结构,证明了Ramond N=2超共形代数上的Hom-李超代数结构是平凡的。 展开更多
关键词 Ramond N=2超共形代数 Hom-李超代数 偶超空间同态
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On the Maximal Disjoint Division in Riesz Spaces
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作者 熊洪允 苗新河 《Transactions of Tianjin University》 EI CAS 2003年第2期161-164,共4页
The authors p oint out a problem in the article of Ref.(Xiong Hongyun,Rong Ximin.Maximal disjoint systems in Riesz space and representation.Acta Math Sinica ,1998,41(4):763-766.)and revise it.Let E be an Archimed ean ... The authors p oint out a problem in the article of Ref.(Xiong Hongyun,Rong Ximin.Maximal disjoint systems in Riesz space and representation.Acta Math Sinica ,1998,41(4):763-766.)and revise it.Let E be an Archimed ean Riesz space possessing a weak unit e and a maximal disjoint division{e i:i∈I} in which each e i is a proj ection element. Concerning the following statements:(1) There exists a completel y regular Hausdorff space X such that E is Riesz isomorphic to C(X);(2) For every i∈I there exi sts a completely regular Hausdorff space X i such that the band generated by e i is Riesz isomorphic to C(X i).It is shown that (1) implies (2),and find some conditions for the inverse bein g true are found.Furthermore,if each X i in (2) is a compact Ha usdorff space, a necessary and sufficient condition is established under which E can be represented as a C(X) for some compact Hausdorff space X.As corollaries, corresponding results for late rally complete Riesz spaces are obtained. 展开更多
关键词 weak unit maximal disjoint division projection element Riesz homomorphism laterally complete
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柔拓扑空间的连通性
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作者 来阿龙 《价值工程》 2016年第8期250-252,共3页
研究了柔拓扑空间的连通性,在柔拓扑空间中定义了隔离柔集,利用隔离柔集给出了连通柔拓扑空间和连通柔集的概念,并为连通柔拓扑空间提供了等价的定义。通过引入了柔拓扑空间之间的连续序同态,证明了柔拓扑空间的连通性在连续序同态下具... 研究了柔拓扑空间的连通性,在柔拓扑空间中定义了隔离柔集,利用隔离柔集给出了连通柔拓扑空间和连通柔集的概念,并为连通柔拓扑空间提供了等价的定义。通过引入了柔拓扑空间之间的连续序同态,证明了柔拓扑空间的连通性在连续序同态下具有不变性,最后得出了柔拓扑空间连通的几个充分条件。 展开更多
关键词 柔集 柔拓扑空间 连通柔拓扑空间 连通柔集 柔拓扑空间之间的连续序同态
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Simultaneous estimation of soil moisture and hydraulic parameters using residual resampling particle filter 被引量:3
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作者 BI HaiYun MA JianWen +1 位作者 QIN SiXian ZHANG HongJuan 《Science China Earth Sciences》 SCIE EI CAS 2014年第4期824-838,共15页
Land data assimilation(DA) has gradually developed into an important earth science research method because of its ability to combine model simulations and observations.Integrating new observations into a land surface ... Land data assimilation(DA) has gradually developed into an important earth science research method because of its ability to combine model simulations and observations.Integrating new observations into a land surface model by the DA method can correct the predicted trajectory of the model and thus,improve the accuracy of state variables.It can also reduce uncertainties in the model by estimating some model parameters simultaneously.Among the various DA methods,the particle filter is free from the constraints of linear models and Gaussian error distributions,and can be applicable to any nonlinear and non-Gaussian state-space model;therefore,its importance in land data assimilation research has increased.In this study,a DA scheme was developed based on the residual resampling particle filter.Microwave brightness temperatures were assimilated into the macro-scale semi-distributed variance infiltration capacity model to estimate the surface soil moisture and three hydraulic parameters simultaneously.Finally,to verify the scheme,a series of comparative experiments was performed with experimental data obtained during the Soil Moisture Experiment of 2004 in Arizona.The results show that the scheme can improve the accuracy of soil moisture estimations significantly.In addition,the three hydraulic parameters were also well estimated,demonstrating the effectiveness of the DA scheme. 展开更多
关键词 data assimilation residual resampling particle filter microwave brightness temperature soil moisture hydraulic parameter
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Periodic orbit model of diode rectifiers-synchronous machine system 被引量:3
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作者 WANG Gang FU LiJun +2 位作者 FAN XueXin YE ZhiHao MA Fan 《Science China(Technological Sciences)》 SCIE EI CAS 2013年第1期245-252,共8页
Diode rectifiers-synchronous machine system has a wide range of applications in isolated power system,whose low frequency oscillation emerges under certain parameters.Considerable error is produced when the state spac... Diode rectifiers-synchronous machine system has a wide range of applications in isolated power system,whose low frequency oscillation emerges under certain parameters.Considerable error is produced when the state space averaging model is used to analyze its small signal stability.Therefore,this paper has presented a periodic orbit model of diode rectifiers-synchronous machine system to solve these problems.Using trapezoidal integration method,it is possible to derive equation of periodic orbit and its Poincaré mapping.Jacobian matrix of the Poincaré mapping of periodic orbit can be calculated by chain derivative method.Besides,stability margin index and linearized Poincaré mapping model have also been proposed.Thus small signal stability of diode rectifiers-synchronous machine system can be assessed through orbitally asymptotical stability of its periodic orbit so as to lay a foundation for isolated power system analysis and its control design.Simulation test demonstrates that the proposed model and algorithm are effective and practicable. 展开更多
关键词 power system diode rectifiers-synchronous machine system small signal stability MODELING periodic orbit
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Unveiling the charge density wave inhomogeneity and pseudogap state in 1T-TiSe_2
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作者 Kai-Wen Zhang Chao-Long Yang +8 位作者 Bin Lei Pengchao Lu Xiang-Bing Li Zhen-Yu Jia Ye-Heng Song Jian Sun Xianhui Chen Jian-Xin Li Shao-Chun Li 《Science Bulletin》 SCIE EI CSCD 2018年第7期426-432,共7页
By using scanning tunneling microscopy(STM)/spectroscopy(STS), we systematically characterize the electronic structure of lightly doped 1 T-TiSe_2, and demonstrate the existence of the electronic inhomogeneity and the... By using scanning tunneling microscopy(STM)/spectroscopy(STS), we systematically characterize the electronic structure of lightly doped 1 T-TiSe_2, and demonstrate the existence of the electronic inhomogeneity and the pseudogap state. It is found that the intercalation induced lattice distortion impacts the local band structure and reduce the size of the charge density wave(CDW) gap with the persisted 2 × 2 spatial modulation. On the other hand, the delocalized doping electrons promote the formation of pseudogap. Domination by either of the two effects results in the separation of two characteristic regions in real space, exhibiting rather different electronic structures. Further doping electrons to the surface confirms that the pseudogap may be the precursor for the superconducting gap. This study suggests that the competition of local lattice distortion and the delocalized doping effect contribute to the complicated relationship between charge density wave and superconductivity for intercalated 1 T-TiSe_2. 展开更多
关键词 Charge density wave Pseudogap TiSe2 Scanning tunneling microscopy Scanning tunneling spectroscopy
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