Optimal Control of Variational Inequalities with Delays in the Highest Order Spatial Derivatives

In this paper, an optimal control problem for parabolic variational inequalities with delays in the highest order spatial derivatives is investigated. The well-posedness of such kinds of variational inequalities is established. The existence of optimal controls under a Cesari-type condition is proved, and the necessary conditions of Pontryagin type for optimal controls is derived.     

物点经多层平行介质界面折射成像的叠加法则及应用分析

文章采用了一种较为简便、自然的推理方法,推导出物点经平行介质界面二次折射成像的虚像点位置,发现了所谓的"物点经多层平行介质界面折射成像的叠加法则".文章对几种特殊情形下的像点坐标进行了讨论:分析和解释了游泳池中泳女的"身首分离"折射现象;分析出空气中物体经玻璃砖的成像特点,指出人们通常使用薄玻璃窗户的光学依据;对空气中的物点经折射率线性变化介质的折射成像进行了详细的研究,指出物点经折射率均匀变化介质的成像位置与经平均折射率的等厚介质,除80°～90°的大视角情形外几乎一致.文章中的推理方法和结论或可为相关内容的教学、科研提供参考.     

卷积型加权残值法求解薄壳的动力学问题

板壳等弹性体,受到动荷载作用时,其动力分析问题是比较重要且难于解决的．利用卷积型加权残值法,推导出Gurtin变分原理,并应用卷积型加权残值法计算了薄壳的动力学问题,为计算薄壳的结构动力学问题提供了一种有效的方法．     

斜冲击界面动力学研究

讨论了界面受到斜冲击时的动力学问题。有效冲击摩擦系数被处理成冲击过程及初始冲击角的函数 ;界面的法向响应描述计及弹性接触、弹性变形极限以及依赖于应变、应变率及温度的完全塑性接触 ;界面在冲击过程中的构形变化也予考虑 ,并采用平均应变、应变率及最大温升的概念与估算。这种新的斜冲击界面动力学模型用于数值模拟刚性球对于延性靶的斜冲击实验 ,计算与实验比较 ,结果是令人满意的。     

矩形变截面梁的挠曲分析

阐述弹性均质矩形变截面梁挠曲线的近似解法。梁的高度的长度方向呈线性变化，或是二次型抛物线变化，其宽度于线性变化。这种近似解法适用于集中荷载、均布荷载、线性分布荷载以及抛物线型分布荷载的作用情况。     

Reflex optical sensor based on dual metal gratings with high angular sensitivity

An interesting reflection phenomenon in a dual metal grating (DMG) structure is studied, which is related to the competition between Fabry-Prot (F-P) resonance effect and evanescent-field coupling effect inside the gap between the two composing single metal gratings. This competition leads to high angular sensitivity in response to the refractive index variation of the sample solution in the gap. A reflex optical sensor with high sensitivity based on DMG for detecting the change in refractive index is proposed and its performance theoretically is discussed.     

原子吸收光谱法测定不同采收时间栽培与野生羌活药材中微量元素的含量

利用空气-乙炔火焰原子吸收光谱法测定了不同采收时问(5月、6月、7月、8月和9月)的野生与栽培宽叶羌活药材中微量元素Ca,Mg,Fe,Mn,Cu和Zn的含量,应用SPSS16.0分析软件对结果进行统计分析.结果发现:羌活药材含有丰富的微量元素,栽培与野生宽叶羌活药材中微量元素的含量均以Ca元素的含量最高,Cu元素含量最...     

罗布泊遥感影像"耳纹"特征分析及其环境意义

研究典型干旱区的罗布泊,对揭示区域环境演变特征和全球变化具有重要意义.从遥感影像上的"耳纹"特征入手,通过光谱、土壤和地表参数等分析,认为:地表全盐含量和结构差异是形成罗布泊遥感影像"耳纹"特征的直接原因;光谱、全盐含量和土壤粒径的分析结果具有很好的一致性."耳纹"记录下了罗布泊地区的环境演变特征,这些特征表明:受全球环境影响,湖水在气候不断干旱的过程中逐渐干涸,干涸过程的气候调整,使罗布泊地区经历了两次相对湿润的气候环境,前一次较长,后一次很短.     

Evidence for special relativity with de Sitter space-time symmetry

I show the formulation of de Sitter Special Relativity (dS-SR) based on Dirac-Lu-Zou-Guo's discussions. dS-SR quantum mechanics is formulated, and the dS-SR Dirac equation for hydrogen is suggested. The equation in the earth-QSO framework reference is solved by means of the adiabatic approach. It's found that the fine-structure "constant" α in dS-SR varies with time. By means of the t-z relation of the ΛCDM model, α's time-dependency becomes redshift z-dependent. The dS-SR's predictions of Δα/α agree with data of spectra of 143 quasar absorption systems, the dS-space-time symmetry is SO(3,2) (i.e., anti-dS group) and the universal parameter R (de Sitter ratio) in dS-SR is estimated to be R≈2.73×10¹² ly. The effects of dS-SR become visible at the cosmic space-time scale (i.e., the distance ≥ 10⁹ ly). At that scale, dS-SR is more reliable than Einstein SR. The α-variation with time is evidence of SR with de Sitter symmetry.     

A viable method for goodness-of-fit test in maximum likelihood fit

A test statistic is proposed to perform the goodness-of-fit test in the unbinned maximum likelihood fit. Without using a detailed expression of the efficiency function, the test statistic is found to be strongly correlated with the maximum likelihood function if the efficiency function varies smoothly. We point out that the correlation coefficient can be estimated by the Monte Carlo technique. With the established method, two examples are given to illustrate the performance of the test statistic.