q-Hypergeometric Series and Macdonald Functions

We derive a duality formula for two-row Macdonald functions by studying their relation with basic hypergeometric functions. We introduce two parameter vertex operators to construct a family of symmetric functions generalizing Hall-Littlewood functions. Their relation with Macdonald functions is governed by a very well-poised q-hypergeometric functions of type ₄₃, for which we obtain linear transformation formulas in terms of the Jacobi theta function and the q-Gamma function. The transformation formulas are then used to give the duality formula and a new formula for two-row Macdonald functions in terms of the vertex operators. The Jack polynomials are also treated accordingly.     

5G时代,有线接入网基础资源布局思路探讨

双千兆时代,网络规模空前巨大,有线接入网更是因覆盖范围广,建设规模大,投入人力多,投资占比高等因素,成为研究重点。文章根据有线接入网架构演进,从“点(各类业务及分纤点)、线(各级管线)、面(业务汇聚区)”三个层面对基站、家客、集客等业务接入、分纤点规划及业务汇聚机房等基础资源规划进行研究。     

Basic differential forms for actions of Lie groups

A section of a Riemannian -manifold is a closed submanifold which meets each orbit orthogonally. It is shown that the algebra of -invariant differential forms on which are horizontal in the sense that they kill every vector which is tangent to some orbit, is isomorphic to the algebra of those differential forms on which are invariant with respect to the generalized Weyl group of , under some condition.

     

Bifunctional pyridyl alcohols with the bicyclo[3.3.0]octane scaffold in the asymmetric addition of diethylzinc to aldehydes

Some new pyridyl alcohols with the cis-bicyclo[3.3.0]octane scaffold were synthesized and used as chiral ligands for the enantioselective addition of diethylzinc to aldehydes. Ligands 4 were found to be far superior to the C₂-symmetric ligands 2 in terms of enantioselectivities. Quantitative yields and enantiomeric excesses of up to 92% were obtained when the ligand 4 was used. The carbonyl function in 4 proved to be beneficial for the high enantioselectivities in the addition of diethylzinc to aldehydes. Conversion of the carbonyl group into oxime or oxime ether group led to a sort of more active ligands, which catalyzed the same reaction with rate acceleration.     

色散管理孤子色散周期长度的开关特性

在色散管理光孤子系统中建立起一种周期扰动模型,研究了扰动对孤子传输的影响.运用快速傅里叶变换方法通过数值模拟发现,在脉冲传输距离与扰动周期长度的关系中不仅存在着多极值结构,而且存在着开关特性,利用这一特性可以有效地控制孤子的传输.     

三电极共面介质阻挡放电的放电特性及诱导气流实验研究

等离子体流动控制激励器由于其响应速度快、激励频带宽、能量损耗低、可靠性强的优势,在航空航天领域的主动流动控制等方面得到了广泛应用.文章提出了一种新型的等离子体气动激励器——三电极共面介质阻挡放电激励器,研究了该激励器电极结构对放电特性和诱导气流速度的影响,并与传统共面介质阻挡放电和沿面介质阻挡放电激励器进行了比较.结果表明:（1）随着激励电压的提高,高压电极和地电极之间先出现了丝状放电并逐渐延伸到第三电极;（2）随着第三电极与高压电极之间的距离增大,诱导气流速率从2.4 m/s下降到0 m/s,而第三电极宽度的变动对诱导气流速度影响可忽略不计;（3）相同外部条件下,该激励器诱导的气流速度小于沿面介质阻挡放电激励器,但高于共面介质阻挡放电激励器.      

基于电磁特性SAR图像目标识别模板的建立

针对SAR图像目标识别过程中识别模板形成的缺点和难点,提出了基于电磁散射特性SAR图像目标识别模板的数学模型和成像原理。采用一种混合算法计算了复杂目标的雷达截面(RCS),由目标的散射系数σ或RCS值,通过宽带合成孔径原理求出物体散射特性的空间分布,建立了SAR图像目标识别模板。实验验证了其正确性、有效性,以及具有近实时性、目标姿态连续性和精确性等特点,为快速准确地获取SAR图像中的目标信息提供技术支持。     

一种新型的在线计费系统的研究和设计

本文提出了预付费和后付费有机融合的新型在线计费系统,主要介绍了系统的总体框架结构和系统流程和在线计费系统的特点。     

基于奇异值分解的基图像的人脸识别

研究了基于奇异值分解的人脸识别问题。首先证明了图像的大量信息主要体现在图像矩阵奇异值分解的前几个最大奇异值所对应的左、右奇异向量中,然后给出了模板图像的基图像,并将图像展开成基图像的线性表示,提取其组合系数作为图像的代数特征并用于人脸识别中。实验表明,较以投影系数向量为代数特征的人脸识别方法,该方法所需的运行时间明显降低,而且与基于奇异值向量作为图像特征的方法相比,该方法的识别精度明显提高。     

超临界水在倾斜光管中的传热不均匀特性研究

对超(超)临界压力下水在倾斜光管内的传热特性进行了比较系统的实验研究.实验段管径为φ32×3mm,倾角α=20°;试验压力P=23~34MPa,内壁热负荷q=300~500kW/m2,管内质量流速G=300~2000kg/m2s.得到了不同工况下倾斜光管内壁温和管内换热系数的周向分布及其变化规律,考察了压力、质量流速及热负荷对倾斜光管内壁温度的周向分布的影响,重点分析了管内上下母线处内壁温度差随工质焓值变化的特性及机理,讨论了大比热区水的物性变化对倾斜光管内传热不均匀性的影响,并与亚临界压力下的对应实验结果进行了比较.