NORM SUMMABILITY OF N(O)RLUND LOGARITHMIC MEANS ON UNBOUNDED VILENKIN GROUPS

The (N(o)rlund)logarithmic means of the Fburier series is:tnf=1/ln∑n-1k=1Skf/n-k,where ln=∑n-1k=11/k.In general,the Fejér(C,1)means have better propeaies than the logarithmic ones.We compare them and show that in the case of some unbounded Vilenkin systems the situation changes.     

关于记录值序列部分和的渐近正态性

证明了 Burr分布和 Frechét分布的记录值序列的部分和是渐进对数正态的 ,从而解决了文[2 ]中的一个悬而未决的问题     

铁的氢氧化合物稳定相α, β-FeOOH的表征及光谱分析

铁的氢氧化合物稳定相针铁矿(α-FeOOH)及四方纤铁矿(β-FeOOH)的合成材料因具有纳米颗粒粒径、较高比表面积,在工业生产和环境治理中被广泛应用。α,β-FeOOH作为重金属等污染物的吸附材料尤受关注。但其合成过程中溶液pH值和反应条件(如不同温度下加热或室温磁力搅拌等)对α,β-FeOOH矿物材料晶型、颗粒形貌、尺寸和界面特性的影响及其与矿物环境功能的相关性报道较少。故本工作基于Fe(NO₃)₃和FeCl₃溶液在一定pH值范围内分别易于形成α-FeOOH和β-FeOOH稳定相,利用X射线衍射仪、透射/扫描电子显微镜和激光粒度分析仪对加热(40和70 ℃)和磁力搅拌(25 ℃)条件下形成的矿物α, β-FeOOH的晶型和颗粒形貌结构进行了鉴定与表征,同时利用红外光谱仪测定了矿物表面的特征结构基团。研究结果表明,40和70 ℃反应温度下形成的矿物Aka-T40, Aka-T70, Gth-T70具有颗粒均一、结晶型较好、比表面积较大等特性,是良好的去除环境污染物的吸附剂材料。     

减敏控制光纤法布里-珀罗腔单值性用于解调振动频率

通过对光纤法布里-珀罗(Fabry-Perot cavity,F-P)腔单波长功率监测,对时域信号进行快速傅里叶变换(FFT),检测振动信号频率.建立了F-P腔的瞬时响应模型.发现透射响应比反射响应有微小延时,证明了F-P腔的多次反射原理对于一般频率不超过几十千赫兹的振动信号的测量没有影响.直接作用在F-P腔上的振动较强时,超过解调单值范围,波形发生畸变.通过增大振动源与F-P腔的距离控制解调单值性,当距离增至8 cm时,获得相对准确的解调结果.     

三层薄板的热屈曲测量及特征反演

The paper presents a new study on a tri-layer thin plate.Shadow moiré implemented with an advanced phase unwrapping technique is employed to obtain actual flexural deformation of a real-life plate sample subjected to thermal loads.An analytical model is re-formulated to provide the plate with global closed-form solutions of the plate deflection as well as the interfacial stress and strain.With the measurements and the solutions available,an inverse iterative approach is developed to evaluate and maximize th...     

基于亚波长光栅结构的硅基液晶器件模型研究

金(Au)亚波长光栅被溅射到经典硅基液晶(LCoS)的ITO电极上,它与薄液晶盒和底层铝电极组成复合共振波导结构,简称GLCoS。与基于液晶传播效应的LCoS截然不同,在GLCoS中,上电极的表面等离激元与光栅槽中的TM-FP (TM-Fabry Pérot)共振耦合,诱导一个0阶反射的相位调制;铝(Al)电极既是反射背板又与Au光栅、薄液晶盒组成波导,使共振耦合得到增强。在操控光波阵面的同时,GLCoS也作为电控器件,施加电压改变液晶的折射率,进而控制开腔FP的边缘介质条件,达到有源0~2π相位调制。实验结果表明,本文结构可用于1μm量级像素的相位空间光调制器,在高空间带宽积的全息视频显示中具有广阔的应用前景。     

补偿Lévy流的实践稳定性

本文的目的是讨论补偿Ｌéｖｙ流的实践稳定性问题．我们推广了一些微分不等式,并通过Ｌｙａｐｕｎｏｖ函数与比较原理,得到补偿Ｌéｖｙ流的实践稳定性的若干判据．     

Judging or setting weight steady-state of rational Bézier curves and surfaces

Many works have investigated the problem of reparameterizing rational Bézier curves or surfaces via Mbius transformation to adjust their parametric distribution as well as weights, such that the maximal ratio of weights becomes smallerthat some algebraic and computational properties of the curves or surfaces can be improved in a way. However, it is an indication of veracity and optimization of the reparameterization to do prior to judge whether the maximal ratio of weights reaches minimum, and verify the new weights after Mbius transformation. What's more the users of computer aided design softwares may require some guidelines for designing rational Bézier curves or surfaces with the smallest ratio of weights. In this paper we present the necessary and sufficient conditions that the maximal ratio of weights of the curves or surfaces reaches minimum and also describe it by using weights succinctly and straightway.The weights being satisfied these conditions are called being in the stable state. Applying such conditions, any giving rational Bézier curve or surface can automatically be adjusted to come into the stable state by CAD system, that is, the curve or surface possesses its optimal parametric distribution. Finally, we give some numerical examples for demonstrating our results in important applications of judging the stable state of weights of the curves or surfaces and designing rational Bézier surfaces with compact derivative bounds.     

Branching particle systems in spectrally one-sided Lévy processes

We investigate the branching structure coded by the excursion above zero of a spectrally positive Lévy process. The main idea is to identify the level of the Lévy excursion as the time and count the number of jumps upcrossing the level. By regarding the size of a jump as the birth site of a particle, we construct a branching particle system in which the particles undergo nonlocal branchings and deterministic spatial motions to the left on the positive half line. A particle is removed from the system as soon as it reaches the origin. Then a measure-valued Borel right Markov process can be defined as the counting measures of the particle system. Its total mass evolves according to a Crump- Mode-Jagers (CMJ) branching process and its support represents the residual life times of those existing particles. A similar result for spectrally negative Lévy process is established by a time reversal approach. Properties of the measurevalued processes can be studied via the excursions for the corresponding Lévy processes.