Existence of $\mu$-pseudo almost automorphic solutions to abstract partial neutral functional differential equations with infinite delay

In this article, we introduce and investigate the concept of $\mu$-Stepanov-like pseudo almost automorphic functions of class $h$ and class infinity via measure theory. We present new results on completeness and composition theorems for the space of such functions. To illustrate our main results, we provide some applications to an abstract partial neutral functional differential equation with infinite delay.     

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In Bayesian analysis, the Markov Chain Monte Carlo (MCMC) algorithm is an efficient and simple method to compute posteriors. However, the chain may appear to converge while the posterior is improper, which will leads to incorrect statistical inferences. In this paper, we focus on the necessary and sufficient conditions for which improper hierarchical priors can yield proper posteriors in a multivariate linear model. In addition, we carry out a simulation study to illustrate the theoretical results, in which the Gibbs sampling and Metropolis-Hasting sampling are employed to generate the posteriors.     

冬虫夏草中甘露醇和虫草素的TOF-SIMS分析

用飞行时间二次离子质谱(TOF-SIMS)分析研究了冬虫夏草中两个最重要的药效活性物质,甘露醇和虫草素,重点研究对应质量数251 amu的质谱峰含有的化学信息。利用TOF-SIMS高质量分辨率的优势, 检测并识别251和252 amu质谱峰的信号有可能不是保健药理活性物质虫草素C₁₀H₁₃N₅O₃(251 amu)产生的分子离子峰M+,[M+H]+,这或许就是文献中有关研究虫草素存在争论的原因。TOF-SIMS分析结果为进一步解读251 amu质谱峰的化学内含、深入研究冬虫夏草中虫草素提供了依据;同时就甘露醇对应的(181 amu附近)TOF-SIMS负离子质谱峰做了细致的解读, 确认181 amu质谱峰是识别冬虫夏草中甘露醇的可靠依据。本研究证明, TOF-SIMS是分析、研究、鉴别冬虫夏草的有效手段。     

光学元件狭缝柔性调节机构的设计与分析

设计了一种狭缝柔性结构的光学元件调节机构,使光学元件在具备较高调节精度的同时,保持较高的导向精度。采用弹性力学应力函数法分析了狭缝柔性结构的刚度,以径向刚度与轴向刚度的比值为目标函数,对狭缝柔性结构尺寸参数进行了优化,在不超过柔性结构材料屈服应力等约束条件下,刚度比最优值达到1 573.6,较大的刚度比值可以减小调节机构的耦合位移,从而提高机构的导向精度。该结构加工装配方便,可实现三自由度(θx-θy-Z)调节。对优化后的柔性结构进行仿真分析,结果表明:径向刚度与轴向刚度比值的仿真值为1 660.4,解析值与仿真值误差为5.23%,证明了刚度分析方法的有效性。优化后的结构,轴向调节行程为2.09 mm,绕x轴偏转角度调节行程为±16.6 mrad,绕y轴偏转角度调节行程可达到±14.4 mrad,满足光学元件调节的大行程要求。     

乘子与Herz型空间

通过某些加权或非加权的Herz空间,将关于乘子算子有界性的H\"{o}rmander条件用一个更弱的条件来替代,并建立起乘子算子的一些有界性结果. 作为文中主要定理的直接推论,一些关于乘子算子有界性的著名结果得到了改进或者直接导出.     

Synthesis and Characterization of Specific Haptens Used to Generate Abzyme with Glutathione Peroxidase Activity *

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The electron densities in the atmospheric pressure helium plasma were calculated by means of electron drift velocity and the jet velocity respectively. The electron velocity and jet velocity can be calculated by means of helium plasma jet current measured by a dielectric probe and plasma discharge current signal measured by voltage probes. The results show that the estimated electron densities of the helium plasma jet calculated from electron drift velocity and the jet velocity are in the order of 10 ¹¹ cm ^-3 and they increase with applied voltage. There is a little fluctuation in the value of the electron density along the jet axis of the plasma. This result is the same as the measured electron density in atmospheric pressure helium non-thermal plasma jet by using a Rogowski coil and a Langmuir probe. This is in one order lower than the electron density measured by microwave antenna.     

Multi-Model Communication and Data Assimilation for Mitigating Model Error and Improving Forecasts

Models for weather and climate prediction are complex, and each model typi-cally has at least a small number of phenomena that are poorly represented, such as perhaps the Madden-Julian Oscillation (MJO for short) or El Ni\~{n}o-Southern Oscillation (ENSO for short) or sea ice. Furthermore, it is often a very challenging task to modify and improve a complex model without creating new deficiencies. On the other hand, it is sometimes possible to design a low-dimensional model for a particular phenomenon, such as the MJO or ENSO, with significant skill, although the model may not represent the dynamics of the full weather-climate system. Here a strategy is proposed to mitigate these model errors by taking advantage of each model''s strengths. The strategy involves inter-model data assimilation, during a forecast simulation, whereby models can exchange information in order to obtain more faithful representations of the full weather-climate system. As an initial investigation, the method is examined here using a simplified scenario of linear models, involving a system of stochastic partial differential equations (SPDEs for short) as an imperfect tropical climate model and stochastic differential equations (SDEs for short) as a low-dimensional model for the MJO. It is shown that the MJO prediction skill of the imperfect climate model can be enhanced to equal the predictive skill of the low-dimensional model. Such an approach could provide a route to improving global model forecasts in a minimally invasive way, with modifications to the prediction system but without modifying the complex global physical model itself.     

4,4′,6,6′-四苯基-2,2′-二亚噻喃的构型

本文标题化合物的溶液与晶体的可见-紫外吸收光谱,后者比前者有很大的红移,说明二亚噻喃的π电子体系之间有显著的分子间相互作用.在苯溶液中测得此合物的电偶极矩是1.90D,证明此化合物是顺式构型.