时滞Duffing型微分方程周期解的存在唯一性

利用三角级数理论及压缩映射原理研究了时滞Duffing型方程ax″(t) bx(t) g(x(t-τ))=p(t),给出了此类Duffing型方程存在唯一周期解的几个充分条件.     

关于等周问题级数解法的一些改进

对苏步青教授在文[1]中介绍的改良的Hurwitz方法再作一些改进,先对Wirtinger引理进行推广,再用推广后的Wirtinger不等式很自然而简洁地推出了等周不等式.     

串扰对密集波分复用网络扩展性的影响

串扰是限制密集波分复用网络扩展的一个重要因素。理论分析了三种典型光交叉连接中的串扰。结果表明基于扩展贝奈斯光交换结构的光交叉连接可以完全消除低于二阶的各类串扰,同时,若将可调谐的窄带滤波器引入到结构2中可以消除低于三阶的各类串扰。用数值模拟的方法分析了带内串扰对强度调制直接检测网络扩展性的影响。结果表明,基于扩展贝奈斯光交换结构的光交叉连接对器件串扰系数的要求得到了很大的放宽,用它来组建的密集波分复用网络具有很好的扩展性。串扰多是由构成光交换节点中各种器件的非理想性造成的,通过分析得出器件中产生的串扰可以从系统中得到很好的解决。     

干涉多光谱卫星图像序列编码

星载干涉多光谱图像序列通过图像匹配实行定位形成光谱序列,相邻图像之间具有很强的相关性,与一般图像序列不同的是,相邻图像之间具有明显的平移特点。为了充分利用这一特点实现有效的图像压缩,同时减少编码系统复杂度,提出了一种新的图像序列编码方法,通过小波域系数匹配算法检测出相邻图像之间的相对位移量,然后对差值图像进行类似于单幅图像的编码,从而提高了总体编码效率。本算法具有与相同单幅图像编码算法相当的低复杂度特点,只需要对单幅图像与模板的差值进行基于小波变换的编码,从而避免了基于三维小波变换的编码算法对系统存储量要求大以及编码延时大的缺陷。仿真结果表明,本算法比基于三维小波变换的编码算法效果更好。     

Anti-Hofmeister series properties found for a polymer having a π electron system and acidic protons

Anti-Hofmeister series properties have been found for a polymer (PVA-T) having a π electron system and acidic protons, which were prepared by introducing trimellitic anhydride to poly(vinyl alcohol) (PVA). Aqueous dispersion of PVA-T became clear in the presence of 1 M Na₂SO₄, a typical kosmotrope, due to dissolution of the solid polymer sample, while the turbidity in the presence of 1 M KSCN, a typical chaotrope, hardly changed. Being consistent to the salt effects, PVA-T hydrogel, which was prepared by chemical cross-linking, showed marked swelling in sulfate solutions, whereas the swelling degree was only marginal in thiocyanates.     

ICP-MS法测定磁致冷材料-钆硅锗系合金中Mo、 Mn、 Al、 V、 Ni、 Cu、 Ga、 Fe

建立了ICP-MS法测定磁致冷材料-钆硅锗系合金中Mo、 Mn、 Al、 V、 Ni、 Cu、 Ga、 Fe八种痕量杂质元素的方法, 并对ICP-MS工作参数及条件进行了优化. 方法的检出限为0.1～0.6 ng/mL, 测定下限为0.5～3 ng/mL, 回收率在95.5%～109%, 相对标准偏差(n=11)为1.3%～7.6%. 采用该方法对磁致冷材料-钆硅锗系合金实际样品进行了分析, 结果表明精密度和准确度均满足痕量分析的要求.     

Empirical prediction of reduced ion mobilities of secondary alcohols

Ion Mobility Spectrometry is a powerful method for the rapid identification of gas-phase analytes and finds its usage in various fields including the sensitive analysis of extremely complex and humid mixtures such as human breath when additional pre-separation techniques are applied. The output data from an ion mobility spectrometer (IMS), equipped with a Multi-Capillary Column (MCC) for pre-separation, is a chromatogram of the signal intensity versus a particular retention time and a specific reduced ion mobility which are the characteristics of the detected analyte. Hence, it is important to have a database of analytes with both the values for comparison and identification of peaks in any IMS chromatogram. Commonly, such databases are collected by measurements of reference analytes. It is obvious that a prognosis of the values, without the time consuming and costly reference measurements, would be a considerable facilitation for a preliminary identification of unknowns and development of databases. In this study, a correlation between the reduced ion mobilities and the number of carbon atoms was found for secondary alcohols. The correlation was then used to predict the reduced ion mobilities of other analytes in the same homologous series. To verify the accuracy of the prognosis, the analytes were measured individually using a ⁶³Ni-MCC-IMS and compared to the predicted values. The results of the prognosis show an accuracy higher than 99.5%.     

On Appell Sets and the Fueter-Sce Mapping

It is proved in Clifford algebras generated by an odd number of basis vectors e ₁, ... , e _n , that the recently discussed Appell polynomials in Clifford algebras are the Fueter-Sce extension of the complex monomials z ^k . Furthermore, it is shown, for which complex functions the Fueter-Sce extension and the extension method using Appell polynomials coincide.      

Mok-Siu-Yeung type formulas on contact locally sub-symmetric spaces

We derive Mok-Siu-Yeung type formulas for horizontal maps from compact contact locally sub-symmetric spaces into strictly pseudoconvex CR manifolds and we obtain some rigidity theorems for the horizontal pseudoharmonic maps.