Covariant Hyperelliptic Functions of Genus Two

We report results of investigations concerning the role of representations of in the theory of genus-two hyperelliptic functions. We discuss the role of these representations in the classical theory as well as introduce a family of new, naturally covariant functions.     

基于含芴菲并咪唑衍生物的可湿法加工的蓝光有机电致发光器件

设计合成了一种新型A-D-A含芴菲并咪唑和炔基基团的蓝光分子( FI),采用紫外吸收、光致发光光谱和循环伏安对材料进行了表征,发现该物质具有稳定的蓝光发射。采用旋涂的方法制备了非掺杂蓝光有机发光二极管,器件的最大电流效率为1.52 cd·A-1,最大功率效率为0.63 lm·W-1.     

Spectral Studies on Cyclic Chromotropic Acid Tetramers and Their Interaction with Metal Ions

Abstract

With comparable molar quantities, chromotropic acid reacts with compounds containing aldehyde groups -CHO e.g. with formadehyde or glyoxylic acid to form cyclic compounds with rings containing four chromotropic acid fragments — cyclotetrachromotropylene derivatives. The cyclic compounds, due to the presence of a cavity in the molecule, can play the part of host and complex smaller molecules, which has been confirmed on the basis of triethylamine by the ¹H-NMR measurements. Using spectrophotometric method the stability constant of 1:1 complex formed between Ti(IV) and cyclic compound chromotropic acid with formaldehyde has been determined - K = (9,0 ± 0,1) 10⁴.     

基于GC-MSV模型的沿海干散货运费衍生品套期保值研究

面对干散货航运运价波动,货主或者航运企业需要通过适当的方法进行风险管理,通过航运运费衍生品进行套期保值是一种主要的风险控制方法。本文采用GC-MSV、在最小方差准则下,研究了中国沿海煤炭运费衍生品的套期保值效果,估计了最优静态套期保值率和动态套期保值率,并与其他不同模型进行对比分析。从套期保值效果看,动态调整的GC-MSV模型优于其他模型,通过套期保值能降低20%~40%的波动率。尽管对资产方差降低的作用有限,沿海煤炭运费衍生品依然能够起到一定的对冲风险作用。     

多酸有机亚胺衍生物的紫外-可见光谱及其取代基效应

以(Bu₄N)₄[α-Mo₈O₂₆]和各种取代苯胺及其盐酸盐为原料, 在碳二环己基亚胺(DCC)存在下, 经脱水反应,合成了多种六钼酸根有机亚胺衍生物, 并用元素分析,1H-NMR,IR和UV-Vis光谱等进行表征,重点研究了六钼酸根有机亚胺衍生物在乙腈溶液中的紫外光谱。研究结果表明,该类化合物具有典型的分子内电子转移的紫外-可见光谱特征,其特征峰位移Δλ_max与苯胺的苯环取代基的共轭效应指数(σ_R)之间存在良好的线性关系。     

基于遗传算法的非线性映射预测硝基苯化合物的生物毒性

摘要: 非线性映射是一种降维处理技术,通过Sammon算法可以将多维分析问题转化为二维问题分析。应用该法的关键在于寻求二维空间的最佳投影点,这可以转化为一个复杂的非线性优化问题来进行解决。遗传算法是解决各类函数优化和非线性映射问题的一种有效算法。以硝基苯化合物的生物毒性的模式识别为例,编制基于误差函数的目标函数和遗传算法约束参数,应用基于MATLAB的遗传算法工具箱进行优化求解。结果表明:该工具箱在求解此类非线性优化问题上是有效的, 基于遗传算法的非线性映射的预测结果比其它方法要好些。     

薄膜光学参数表征误差处理技术

针对光度测量数据中难以消除的系统误差对薄膜光学参数表征精度的负面影响,提出一种新型的误差处理技术。选取薄膜光谱系数对折射率和几何厚度的一阶偏导数,对大部分测量入射角满足符号相反或只有其中一个为零的条件的波段,剔除偏导数对全部测量入射角满足符号相同或同时为零条件的奇点波长附近波段,作为反演表征用的光度测量数据采集区域,以最小化光度测量系统误差引起的薄膜光学参数反演表征值相对真实值的偏差大小。通过数值模拟实验,对比研究了该技术对不同偏振光和不同测量入射角范围的适用性及实施技巧,以可复现的数值实验数据和合理的理论解释支持和验证了这种误差处理技术的可靠性。     

Generalized Bessel functions: Theory and their applications

This paper presents 2 new classes of the Bessel functions on a compact domain [0,T] as generalized‐tempered Bessel functions of the first‐ and second‐kind which are denoted by GTBFs‐1 and GTBFs‐2. Two special cases corresponding to the GTBFs‐1 and GTBFs‐2 are considered. We first prove that these functions are as the solutions of 2 linear differential operators and then show that these operators are self‐adjoint on suitable domains. Some interesting properties of these sets of functions such as orthogonality, completeness, fractional derivatives and integrals, recursive relations, asymptotic formulas, and so on are proved in detail. Finally, these functions are performed to approximate some functions and also to solve 3 practical differential equations of fractionalorders.     

Structural and Spectral Study of Nickel(II) Complexes of Pyridyl bis{3‐piperidyl‐, bis{hexamethyleneiminyl‐, bis{N(4)‐diethyl‐, and bis{N(4)‐dipropylthiosemicarbazones}

Pyridyl bis(N(4)‐substituted thiosemicarbazones), in which the substituents replacing the NH₂ group on the thiosemicarbazone moieties are piperidyl, H₂Plpip; hexamethyleneiminyl, H₂Plhexim; diethylamino, H₂Pl4DE; and dipropylamino, H₂Pl4DP, have been synthesized. These bis(thiosemicarbazones) and their nickel(II) complexes have been characterized with IR, electronic, mass, and ¹H and ¹³C NMR spectra. Crystal structures have been solved for H₂Plpip and all four nickel(II) complexes. H₂Plpip does not possess hydrogen bonding between the thiosemicarbazone moieties, but is in the Z isomeric form with intramolecular hydrogen bonding from both thiosemicarbazone moieties to pyridine nitrogen atoms. The nickel(II) complexes possess square‐planar N₂S₂ (i. e., imine nitrogen and thiolato sulfur atoms) centers and the two pyridine ring nitrogen atoms are not coordinated.