The properties of the transfer-matrix of U(1) lattice gauge theory in the Fourier basis are explored.Among other statements it is shown:(i) the transfer-matrix is block-diagonal,(ii) all consisting vectors of a block ...The properties of the transfer-matrix of U(1) lattice gauge theory in the Fourier basis are explored.Among other statements it is shown:(i) the transfer-matrix is block-diagonal,(ii) all consisting vectors of a block are known based on an arbitrary block vector,(iii) the ground-state belongs to the zero-mode’s block.The emergence of maximum-points in matrix-elements as functions of the gauge coupling is clarified.Based on explicit expressions for the matrix-elements we present numerical results as tests of our statements.展开更多
Surface spin waves in a semi-infinite magnetre super lattice with a single-ion uniaxial anisotropy are investigated through the transfer mafrix method.The dispersion equations of surface spin wavs are obfained.We find...Surface spin waves in a semi-infinite magnetre super lattice with a single-ion uniaxial anisotropy are investigated through the transfer mafrix method.The dispersion equations of surface spin wavs are obfained.We find that not all the magnetic superlattice structures can excite the surface spin waves,and that the anisotropy term need not be favorable to the excitation of surface spin wavs,but surely influences the values of the energy of the excited surface spin waves.展开更多
生态环境修复方案的可行性论证与修复效果评价是生态环境修复工程的重要内容,对生态环境修复工程的设计及建设具有重要指导意义。目的为确定生态环境修复方案可行性和修复的综合效果,以盘石头水库为例,对该水库生态修复方案进行综合评...生态环境修复方案的可行性论证与修复效果评价是生态环境修复工程的重要内容,对生态环境修复工程的设计及建设具有重要指导意义。目的为确定生态环境修复方案可行性和修复的综合效果,以盘石头水库为例,对该水库生态修复方案进行综合评价研究。方法首先,参照OECD(Organization for Economic Cooperation and Development)模型,构建由生态效益、景观效益、社会效益、维护管理共4个准则层和18个评价子指标组成的盘石头水库生态环境修复方案可行性和修复效果评价体系;其次,通过最优传递矩阵对层次分析法的权重计算进行改进,对构建的评价指标体系进行权重的计算;最后,将改进AHP与模糊综合评价方法相结合,对盘石头水库生态修复方案进行综合评价。结果结果表明,在盘石头水库生态环境修复方案中最重要的准则层指标是生态效益;在选取的18个评价子指标中,物种多样性、观赏价值、改善城市形象和降低灾害这4个指标的权重较大;所评价的鹤壁市盘石头水库生态环境修复方案的修复效果为优,方案可行。结论模糊-改进AHP法为生态环境修复及其方案可行性的评价提供了一种新的、更有效的方法。展开更多
为提高载荷识别与结构响应重构的精度及效率,提出了一种同时考虑传递矩阵误差和测量误差的改进Tikhonov正则化方法。首先,通过结构动力学模型构建状态空间方程和传递矩阵,得到结构载荷和响应的重构方程;其次,利用截断随机奇异值分解方...为提高载荷识别与结构响应重构的精度及效率,提出了一种同时考虑传递矩阵误差和测量误差的改进Tikhonov正则化方法。首先,通过结构动力学模型构建状态空间方程和传递矩阵,得到结构载荷和响应的重构方程;其次,利用截断随机奇异值分解方法计算测点位置的近似传递矩阵,同时结合总体最小二乘法(Total Least Squares Method,TLSM)和传统Tikhonov正则化方法识别载荷,再通过待重构位置的传递矩阵重构未知响应;最后,分别对二维桁架和简支梁进行数值仿真和试验分析,验证所提方法的有效性。结果表明,相较于传统Tikhonov正则化方法,所提方法可在保证重构精度的同时提升重构效率。展开更多
基金Supported by the Research Council of the Alzahra University
文摘The properties of the transfer-matrix of U(1) lattice gauge theory in the Fourier basis are explored.Among other statements it is shown:(i) the transfer-matrix is block-diagonal,(ii) all consisting vectors of a block are known based on an arbitrary block vector,(iii) the ground-state belongs to the zero-mode’s block.The emergence of maximum-points in matrix-elements as functions of the gauge coupling is clarified.Based on explicit expressions for the matrix-elements we present numerical results as tests of our statements.
文摘Surface spin waves in a semi-infinite magnetre super lattice with a single-ion uniaxial anisotropy are investigated through the transfer mafrix method.The dispersion equations of surface spin wavs are obfained.We find that not all the magnetic superlattice structures can excite the surface spin waves,and that the anisotropy term need not be favorable to the excitation of surface spin wavs,but surely influences the values of the energy of the excited surface spin waves.
文摘生态环境修复方案的可行性论证与修复效果评价是生态环境修复工程的重要内容,对生态环境修复工程的设计及建设具有重要指导意义。目的为确定生态环境修复方案可行性和修复的综合效果,以盘石头水库为例,对该水库生态修复方案进行综合评价研究。方法首先,参照OECD(Organization for Economic Cooperation and Development)模型,构建由生态效益、景观效益、社会效益、维护管理共4个准则层和18个评价子指标组成的盘石头水库生态环境修复方案可行性和修复效果评价体系;其次,通过最优传递矩阵对层次分析法的权重计算进行改进,对构建的评价指标体系进行权重的计算;最后,将改进AHP与模糊综合评价方法相结合,对盘石头水库生态修复方案进行综合评价。结果结果表明,在盘石头水库生态环境修复方案中最重要的准则层指标是生态效益;在选取的18个评价子指标中,物种多样性、观赏价值、改善城市形象和降低灾害这4个指标的权重较大;所评价的鹤壁市盘石头水库生态环境修复方案的修复效果为优,方案可行。结论模糊-改进AHP法为生态环境修复及其方案可行性的评价提供了一种新的、更有效的方法。
文摘为提高载荷识别与结构响应重构的精度及效率,提出了一种同时考虑传递矩阵误差和测量误差的改进Tikhonov正则化方法。首先,通过结构动力学模型构建状态空间方程和传递矩阵,得到结构载荷和响应的重构方程;其次,利用截断随机奇异值分解方法计算测点位置的近似传递矩阵,同时结合总体最小二乘法(Total Least Squares Method,TLSM)和传统Tikhonov正则化方法识别载荷,再通过待重构位置的传递矩阵重构未知响应;最后,分别对二维桁架和简支梁进行数值仿真和试验分析,验证所提方法的有效性。结果表明,相较于传统Tikhonov正则化方法,所提方法可在保证重构精度的同时提升重构效率。
