带有Radon-Nikodym导数的算子值自由Fisher信息量

本文研究了带有Radon-Nikodym导数的算子值自由Fisher信息量.利用模框架理论,得到了一个半圆元和一个子代数之间的合并自由关系,推广了D.Voiculescu等人的工作.     

Uniform frames with block size four and index one or three

Abstact: In this article, we present a new construction to obtain uniform frames with block size four and index one. The known existence results for (4, 1)‐frames and (4, 3)‐frames are both improved with a small number of possible exceptions. © 2000 John Wiley & Sons, Inc. J Combin Designs 9: 28–39, 2001     

Nonlinear approximation with general wave packets

We study nonlinear approximation in the Triebel-Lizorkin spaces with dictionaries formed by dilating and translating one single function g. A general Jackson inequality is derived for best m-term approximation with such dictionaries. In some special cases where g has a special structure, a complete characterization of the approximation spaces is derived.     

Torsion and noninertial effects on a nonrelativistic Dirac particle

We investigate torsion and noninertial effects on a spin-1/2$1/2$ quantum particle in the nonrelativistic limit of the Dirac equation. We consider the cosmic dislocation spacetime as a background and show that a rotating system of reference can be used out to distances which depend on the parameter related to the torsion of the defect. Therefore, we analyse torsion effects on the spectrum of energy of a nonrelativistic Dirac particle confined to a hard-wall potential in a Fermi–Walker reference frame.     

Quantum correlations of helicity entangled states in non-inertial frames beyond single mode approximation

A helicity entangled tripartite state is considered in which the degree of entanglement is preserved in non-inertial frames. It is shown that Quantum Entanglement remains observer independent. As another measure of quantum correlation, Quantum Discord has been investigated. It is explicitly shown that acceleration has no effect on the degree of quantum correlation for the bipartite and tripartite helicity entangled states. Geometric Quantum Discord as a Hilbert–Schmidt distance is computed for helicity entangled states. It is shown that living in non-inertial frames does not make any influence on this distance, either. In addition, the analysis has been extended beyond single mode approximation to show that acceleration does not have any impact on the quantum features in the limit beyond the single mode. As an interesting result, while the density matrix depends on the right and left Unruh modes, the Negativity as a measure of Quantum Entanglement remains constant. Also, Quantum Discord does not change beyond single mode approximation.     

大型玻璃钢渔船帽型骨架剖面参数的力学分析

本文对大型玻璃渔船帽型架剖面参数,进行了在不受力情况下正交各向异性玻璃钢薄板稳定的力学分析,建立架受力分析－受压区的矩形薄板压缩稳定和腹板的矩形薄板剪切稳定两种力学模型,解得这两种力学模型,在两种材料（１：１玻璃钢和４：１玻璃铡）与两种边界件（四边简支和四边固支）组合的四种条件下,骨架剖面参数的ｂ／ｔ１和ｈ／ｔ的取值范围,它们依次为１０．０～２６．２和２８．７～４４．２。文中分析结果为帽型骨架剖面     

框架结构缺损识别的交错迭代法

对具有局部缺损刚度框架结构识别的逆分析问题进行了研究,在采用有限元最小二乘法的基础上,提出了非线性最小化过程的交错迭代方法。算例及分析表明,本文方法是一种精度高、收敛迅速、应用方便的逆分析方法。     

杆件撤除对平面刚架影响的实用计算法

基于短阵位移法,提出了用于分析杆件撤除对平面刚架结构影响的简化计算方法,与以往不同,本法仅将杆件撤除视为在原结构上曾加荷载工况,因此无需重建况体刚度矩阵即可用于分析杆件撤除对结构的影响,本法的计算速度比矩位移法快很多,算例表明,两种方法的计算结果一致。     

Slepian Approach to a Gaussian Excited Elasto-Plastic Frame Including Geometric Nonlinearity

Taking geometric non-linearity into account, an oscillator inthe form of a portal frame with a rigid traverse and withideal-elastic-ideal-plastic clamped-in columns behaves under horizontalexcitation as an ideal-elastic-hardening/softening-plastic oscillatorgiven that the columns carry a tension/compression axial force. Assumingthat the horizontal excitation of the traverse is Gaussian white noise,statistics related to the plastic displacement response are determinedby use of simulation based on the Slepian model process method combinedwith envelope excursion properties. Besides giving a physical insight,the method gives good approximations to results obtained by slow directsimulation of the total response. Moreover, the influence of a randomlyvarying axial column force is investigated by direct responsesimulation. This case corresponds to parametric excitation as generatedby the vertical acceleration component in an earthquake.