时间测度链上一类具阻尼项的二阶非线性中立型动力方程的振荡准则（英文）

利用广义的Riccati变换及不等式分析技巧,获得时间测度链T上的一类具有阻尼项的二阶非线性变时滞泛函动力方程[A(t)Ф(yΔ(t))]Δ+b(t)Ф(yΔ(t))+P(t)F(Ф(x(δ(t))))=0振荡性的一些充分条件,这里y(t)=x(t)+B(t)g(x(τ(t)))且Ф(u)=u|u|λ-1(λ0).这些结果推广并改进了一些已知的结论,并通过例子来说明这些结果的重要性.     

Joint empirical likelihood confidence regions for a finite number of quantiles under strong mixing samples

In this paper, we obtain the joint empirical likelihood confidence regions for a finite number of quantiles under strong mixing samples. As an application of this result, the empirical likelihood confidence intervals for the difference of any two quantiles are also obtained.     

两类新的最优变重量光正交码

变重量光正交码用于光码分多址通信系统以满足不同服务质量用户需求.给出当u≥5为素数时,最优(16u,{3,5},1,{2/3,1/3))交重量光正交码的具体构造.同时证明了当u≥5为素数时,存在一个最优(25u,{3,4,5},1,{1/4,2/4,1/4})变重量光正交码.这将改进变重量光正交码的存在性结果.     

突发事件下多因素同时扰动的闭环供应链协调策略

针对突发事件下销售价格敏感系数、回收价格敏感系数、制造成本和再制造成本同时扰动,研究了闭环供应链系统的生产(回收)策略、销售价格(回收价格)策略与协调机制,给出了不同扰动条件下生产(回收)调整策略与销售价格(回收价格)调整策略,并设计了新的回馈与惩罚契约,使得闭环供应链能够在突发事件前后都能够实现协调应对,最后通过数值实例验证了结论的正确性.研究表明:闭环供应链受突发事件的影响很大,但通过对回馈与惩罚契约的调整及其相对应的制造(回收)策略与销售价格(回收价格)策略的调整,可有效减少突发事件对闭环供应链利润的损失.     

Synthesis,Characterization and Crystal Structure of 3-o-Fluorophenyl-6-（4-decarboxydehydroabietyl）-1,2,4-triazolo[3,4-b]-1,3,4-thiadiazole

Three novel 1,2,4-triazolo[3,4-b]-1,3,4-thiadiazoles were designed,synthesized and characterized by IR,NMR and APCI-MS.3-o-Fluorophenyl-6-(4-decarboxydehydroabietyl)-1,2,4-triazolo[3,4-b]-1,3,4-thiadiazole(6a,C28H31FN4S) was structurally determined by single-crystal X-ray diffraction.The crystal belongs to the orthorhombic system,space group P212121 with a=6.0153(14),b=12.2577(19),c=34.055(3),V=2511.0(7)3,Z=4,Mr=474.63,Dc=1.255Mg/m3,λ=0.71073 ,μ(MoKα)=0.160 mm-1,F(000)=1008,the final R=0.0555 and wR=0.1248 for 3094 observed reflections with I2σ(I).There are six rings in the crystal structure of the title compound.The dihedral angle between 1,2,4-triazole and 1,3,4-thiadiaole rings is 1.4o,and that between 1,2,4-triazole and benzene ring D 25.5o.     

Preparation and Characteristics of GaN Films on Freestanding CVD Thick Diamond Films

Prefer-oriented and fine grained polycrystalline GaN films are prepared by plasma enhanced metal organic chemical vapour deposition on nucleation surfaces of freestanding thick diamond films. The characteristics of the GaN films are characterized by x-ray diffraction, reflection high energy electron diffraction and atomic force microscopy. The results indicate that the structure and morphology of the films are strongly dependent on the deposition temperature. The most significant improvements in morphological and structural properties of GaN films are obtained under the proper deposition temperature of 400°C.     

方阵A、B与A(○×)B的关系

利用方阵的Jordan分解与翻转矩阵等技巧,给出方阵A、B及其张量积A(○×)B性质间的关系.     

J-clean环的推广

如果R中每个元素(对应地,可逆元)均可表示为一个幂等元与环R的Jacobson根中一个元素之和,则称环R是J-clean环(对应地,UJ环).所有的J-clean环都是UJ环.作为UJ环的真推广,本文引入GUJ环的概念,研究GUJ环的基本性质和应用.进一步地,研究每个元素均可表示为一个幂等元与一个方幂属于环的Jacobson根的元素之和的环.     

基于鞍点逼近的投资组合极端风险贡献度测度

在当今金融市场资产价格高波动的背景下,度量投资组合中各资产对总体风险的风险贡献度对探析投资组合风险波动不定的深层次原因有重要意义。关于风险贡献度的测算,目前运用较广泛的是历史数据法,其主要适用于存在大量数据样本且持续期较短的情况。特别地,极端情况下的风险贡献度估计主要由处于分布尾部的少量观测值决定,因此历史数据法估计的准确性此时较难保证,为此,本文对鞍点逼近模型优化并考察上述情形。通过对中国股市进行实证分析发现,与传统历史数据法相比,鞍点逼近模型呈现下列优点:投资组合分布函数简洁、风险贡献度计算效率和准确性较高,压力测试表明该方法具有较好的稳健性。因此该方法有望对投资组合的风险预警与防范起到决策支持作用。     

有限伪反射群的相对不变式的 Poincar\'e级数

Let F be a field with characteristic 0, V = Fn the n-dimensional vector space over F and let G be a finite pseudo-reflection group which acts on V . Let χ ： G→ F＊ be a 1- dimensional representation of G. In this article we show that χ（g） = （detg）α（0 ≤ α ≤ r - 1）, where g ∈ G and r is the order of g. In addition, we characterize the relation between the relative invariants and the invariants of the group G, and then we use Molien’s Theorem of invariants to compute the Poincar′e series of relative invariants.