Geometric properties of F-normed Orlicz spaces

Aequationes mathematicae - The paper deals with F-normed functions and sequence spaces. First, some general results on such spaces are presented. But most of the results in this paper concern...     

Attractive singularity problems for superlinear Liénard equation

Positivity - In this paper, we consider the following quasilinear Liénard equation with a singularity $$\begin{aligned} (\phi _p(x'(t)))'+f(x(t))x'(t)+g(t,x(t))=e(t),...     

Combined effects for magnetic Laplace equations with lack of compactness

We are concerned with qualitative analysis of weak solutions for a class of magnetic Laplace equations with lack of compactness. By variational arguments, we establish related nonexistence, existence and multiplicity results.     

Nil-Clean Rings with Involution

A *-ring R is called a nil *-clean ring if every element of R is a sum of a projection and a nilpotent.Nil *-clean rings are the *-version of nil-clean rings introduced by Diesl.This paper is about the nil *-clean property of rings with emphasis on matrix rings.We show that a *-ring R is nil *-clean if and only if J(R) is nil and R/J(R) is nil*-clean.For a 2-primal *-ring R,with the induced involution given by (aij)* =(a*ij)T,the nil *-clean property of Mn(R) is completely reduced to that of Mn(Z2).Consequently,Mn(R) is not a nil *-clean ring for n =3,4,and M2(R) is a nil *-clean ring if and only if J(R) is nil,R/J(R) is a Boolean ring and a*-a ∈ J(R) for all a ∈ R.     

Efficient Distributed Estimation of High-dimensional Sparse Precision Matrix for Transelliptical Graphical Models

In this paper,distributed estimation of high-dimensional sparse precision matrix is proposed based on the debiased D-trace loss penalized lasso and the hard threshold method when samples are distributed into different machines for transelliptical graphical models.At a certain level of sparseness,this method not only achieves the correct selection of non-zero elements of sparse precision matrix,but the error rate can be comparable to the estimator in a non-distributed setting.The numerical results further prove that the proposed distributed method is more effective than the usual average method.     

Exact evaluation of the multidimensional Franck–Condon integrals based on the contour integral method

Adopting a different method from the Sharp–Rosenstock generating function method and the Doktorov coherent state method, a closed form expression for the Franck–Condon integrals between arbitrary multidimensional harmonic oscillators is derived exactly under the Duschinsky mixing effects on the base of the contour integral form expression of Hermite polynomials. In addition, an analytical expression for the calculation of the four-mode Franck–Condon factors is presented.     

Tunable multi-function broadband splitter with optical bistability based on surface plasmon

A tunable multi-function broadband splitter consisted of a silver film, Kerr medium and a silver grating sandwiched between linear dielectrics waveguides is proposed and numerically investigated. This splitter can realize the functions of the beam splitter, the polarization splitter and wavelength beam splitter. This surface plasmon based device provides a unique approach for polarization sensitive manipulation of light in an integrated circuit and will be essential for future classical and quantum information processes.     

Buck变换器的输出短路火花放电能量及输出本质安全判据

为得出Buck变换器的输出本质安全判据, 基于安全火花试验装置, 对其输出短路火花放电特性进行了试验研究, 发现其放电过程可分为介质击穿、火花产生、火花维持和火花熄灭四个阶段.基于得出的火花放电特性, 对其输出短路火花放电能量进行了深入分析, 指出对于给定电感的Buck变换器, 当负载电阻 R_L小于给定电感对应的临界电阻R_LC时, 火花放电能量是关于R_L的凹函数; 而在R_L > R_LC时, 是关于R_L的凸函数.考虑到实际的参数取值范围, 进一步指出: R_L < R_LC时的火花放电能量随R_L的增加而增大, 且在R_L=R_LC时达到最大值; 而在R_L > R_LC时, 则随着R_L的增加, 先增大后减小, 在增加到特征电阻R_{L, DCM}时达到最大值. 得出了变换器在全动态范围内的最危险工况: 变换器在输入电压最高及负载电阻等于R_{L, DCM} 时工作于DCM, 此时, 短路火花放电能量达到最大值.基于能量等效, 提出了可模拟变换器输出短路放电特性的等效简单电容电路及输出本质安全判据, 仿真和试验结果验证了理论分析及所提出判据的正确性和可行性. 关键词： Buck变换器 本质安全 短路火花放电能量 输出本质安全判据     

200KV重离子加速器及其应用

本文介绍一台采用双潘宁型多电荷重离子源的200kV重离子加速器,简述它在GaP光探测器的研制、聚合物材料和金属材料的离子注入改性等方面的研究与应用。     

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??The Bayesian model are established for the VaR and related risk measurements. The relationship between VaR and other risk measurements including expect shortfall, tail condition expectation and conditional value at risk are discussed. Furthermore, the Bayesian estimates and Bayesian predictors of these risk measurement are derived. Thirdly, the consistency and asymptotic normality in the exponential risk model are proved. Finally, the numerical simulation method is used to verify the convergence rate under different sample sizes.