像散厄米-高斯光束的对称化和相关问题的研究

从比较两种对称化光学系统出发,使用三柱透镜对称化光学系统对像散厄米高斯光束作了详细分析,研究表明：对称化光学系统的作用是将像散光束变换为对称化实宗量光束;并消去xy耦合项。这样,当光束继续在自由空间传输时,能保持其形状不变。然而,有xy耦合项的对称化复光束却不具有这种传输不变性。     

团簇Ni4P催化析氢性能研究

为探究团簇Ni₄P催化析氢最强的结构,基于密度泛函理论,在B3LYP/Lan12dz水平下,对团簇Ni₄P的初始构型进行计算和优化,得到5种优化构型。从热力学稳定性、前线轨道图和前线轨道能级差对团簇Ni₄P的析氢性能分析发现,构型1^（4）和1^（2）的热力学稳定性较强;团簇Ni₄P各优化构型均易吸附水中的氢原子,Ni原子为团簇Ni₄P催化活性位点,且构型1^（4）、1^（2）和2^（4）催化析氢的活性更强。(1^（2）)-H、(2^（2）)-H在电化学脱附法和化学重组法中均具有较强的催化活性。以上说明构型1^（2）是团簇Ni₄P催化析氢最强的结构。     

人力资源与区域经济发展分析

人力资源是实现区域经济发展的最重要条件之一，从已有的经济理论模型理论研究及本建立经济数学模型实证研究表明，人力资源数量，质量，结构，流动都影响区域经济发展，加快区域经济发展，必须加大教育投入，创造条件吸引人才，加强技术技能培训，增加第三产业作人力资源等。     

再谈应用数学的发展——对“试谈”的补充意见

本文采用校勘的格式对 [1]提出补充意见     

Oximes of five-membered heterocyclic compounds with three and four heteroatoms 2. Synthesis of derivatives,reactions, and biological activity (Review)

Data on the reactions of triazole, tetrazole, dioxazole, oxadiazole, and thiadiazole aldoximes, ketoximes, and amidoximes, their synthesis, and the reactions of their derivatives are reviewed. The synthesis of new heterocycles based on the oximes of five-membered heterocyclic compounds with three and four heteroatoms is examined separately. The principal results from investigation of the biological activity of ethers of these oximes are also presented. __________ Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 7, pp. 963–990, July, 2008.     

Technology of preparing anode films and the effect of co-sensitization in dye-sensitized solar cells

Nanocrystalline N–Zn/TiO₂ anode films were prepared by doping element N and Zn. These element-doped films have a better performance in dye-sensitized solar cell than the non-doped film. The test shows that the best thickness of N–Zn/TiO₂ anode film is 13.5 μm. UV–Visible measurements show that there is a complementarity in ultraviolet–visible absorbance range between P3OT and N719, both are used as dyes in this study, the former is prepared and the latter is commercially available. SEM shows a significant mass increase of anode film after treated with TiCl₄. Solar cells based on N–Zn/TiO₂ anode film with TiCl₄ treatment was firstly co-sensitized by N719/P3OT. A solar-to-electric energy conversion efficiency of 3.54 % was obtained. Compared with the traditional dye-sensitized solar cell, the photoelectric conversion efficiency, V _oc and J _sc have been increased.     

Vectors in a box

For an integer d ≥ 1, let τ(d) be the smallest integer with the following property: if v ₁, v ₂, . . . , v _t is a sequence of t ≥ 2 vectors in [?1, 1] ^d with ${{\bf v}_1+{\bf v}_2+\cdots+{\bf v}_t \in [-1,1]^d}$ , then there is a set ${S\subseteq \{1,2,\ldots,t\}}$ of indices, 2 ≤ |S| ≤ τ(d), such that ${\sum_{i \in S}{\bf v}_i \in [-1,1]^d}$ . The quantity τ(d) was introduced by Dash, Fukasawa, and Günlük, who showed that τ(2)?=?2, τ(3)?=?4, and τ(d)?=?Ω(2 ^d ), and asked whether τ(d) is finite for all d. Using the Steinitz lemma, in a quantitative version due to Grinberg and Sevastyanov, we prove an upper bound of τ(d) ≤ d ^d+o(d), and based on a construction of Alon and V?, whose main idea goes back to H?stad, we obtain a lower bound of τ(d) ≥ d ^d/2-o(d). These results contribute to understanding the master equality polyhedron with multiple rows defined by Dash et?al. which is a “universal” polyhedron encoding valid cutting planes for integer programs (this line of research was started by Gomory in the late 1960s). In particular, the upper bound on τ(d) implies a pseudo-polynomial running time for an algorithm of Dash et?al. for integer programming with a fixed number of constraints. The algorithm consists in solving a linear program, and it provides an alternative to a 1981 dynamic programming algorithm of Papadimitriou.     

Glycerol monooleate-blood interactions

In the present study the initial blood compatibility of glycerol monooleate (GMO)-coated surfaces was evaluated after deposition to surfaces and in bulk. The model surface was silica onto which multiple layers of fibrinogen or human serum albumin (HSA) was immobilized. The protein-coated surfaces were subsequently dip-coated in GMO in ethanol and used for blood plasma and whole blood experiments. The characterization methods included null ellipsometry, scanning electron microscopy, imaging of coagulation, hemolysis test and whole blood coagulation time by free oscillation rheometry. The results showed a GMO film thickness of approximately 350 A (approximately 4 microg/cm(2)) upon dip-coating in ethanolic solution. A major part of the deposited layer detached in aqueous solutions, especially during shear conditions. The coagulation time on GMO was significantly prolonged compared to that on HSA coated silica. Whole blood tests showed that GMO is a very weak hemolytic agent. Deposited GMO detached easily from surfaces upon rinsing or shearing, although a stable layer with undefined phase structure and a thickness of 50-70 A remained on HSA and fibrinogen precoated surfaces. This indicates that GMO has stronger adhesive forces to its substrate compared to the cohesive forces acting within the bulk GMO. The ability of GMO to detach from itself and tentatively form micelles or lipid bilayers when subjected to flowing blood may be of use in extravascular applications. It is concluded that GMO results in weak blood activation, and the material may in spite of this be suitable in selected biomaterial applications, especially as a biosealant and in colloidal dispersions.     

啁啾脉冲参量放大特性的数值模拟研究

根据啁啾脉冲激光参量放大技术,数值模拟了光参量放大在啁啾脉冲放大中的应用。研究啁啾脉冲参量放大增益及时间特性,特别是在大信号注入与小信号注入两种有代表意义的情况下,详细地分析了群速度失配、相位失配对放大过程的影响。研究了泵浦光脉冲与信号光脉冲的时间同步要求,讨论了放大系统的稳定性。