满足预算平衡的Pareto最优的团队激励契约

研究了团队中的搭便车现象，在对熟知的团队激励之Ｐａｒｅｔｏ效率与预算平衡不可兼达定理重新审视后，指出了监督固然可获Ｐａｒｅｔｏ效率，却引致渎职与合谋之隐患；当团队成员为风险中性型时，若组织规范能有效运作，或团队成员主观高估其行为对集体产出之影响时，即使监视人缺位，仍有可能在Ｐａｒｅｔｏ有效的预算平衡的利益分享机制；而当团队成员为充分风险厌恶型且能忍受一定的经济惩罚时，监视人可设计一种随机性征罚团队     

对方言和民族共同语言的再认识

方言和民族共同语言是语言在社会发展中出现的两个发展过程。两者均是语言的变体 ,在人们的交际中 ,它们是传递信息、承载文化的不可缺少的手段。在其存在和发展问题上 ,方言和民族共同语言的关系是辨证的 ,而不是对立的。更不是所谓的方言“干扰”和“污染”民族共同语言。它们既可并存 ,也可兼容 ,是“你中有我” ,“我中有你”。方言是民族文化多样化的象征 ,是优秀文化的载体 ,它不断地丰富民族共同语 ;而民族共同语则促进方言不断地规范化 ,使它充分发挥其社会功能。方言的规范化程度越高 ,其民族或社会的统一性就越高。正确处理好两者的关系 ,不仅有利于民族文化繁荣 ,而且有利于民族团结和统一     

Deformed soliton,breather,and rogue wave solutions of an inhomogeneous nonlinear Schrdinger equation

We use the 1-fold Darboux transformation (DT) of an inhomogeneous nonlinear Schro¨dinger equation (INLSE) to construct the deformed-soliton, breather, and rogue wave solutions explicitly. Furthermore, the obtained first-order deformed rogue wave solution, which is derived from the deformed breather solution through the Taylor expansion, is different from the known rogue wave solution of the nonlinear Schro¨dinger equation (NLSE). The effect of inhomogeneity is fully reflected in the variable height of the deformed soliton and the curved background of the deformed breather and rogue wave. By suitably adjusting the physical parameter, we show that a desired shape of the rogue wave can be generated. In particular, the newly constructed rogue wave can be reduced to the corresponding rogue wave of the nonlinear Schro¨dinger equation under a suitable parametric condition.     

Extended Bose-Hubbard model with pair hopping on triangular lattice

We study systematically an extended Bose-Hubbard model on the triangular lattice by means of a meanfield method based on the Gutzwiller ansatz. Pair hopping terms are explicitly included and a three-body constraint is applied. The zero-temperature phase diagram and a variety of quantum phase transitions are investigated in great detail. In particular, we show the existence and the stability of the pair supersolid phase.     

Surface modification of zinc oxide nanorods for potential applications in organic materials

A facile and simple modification method towards changing surface property of ZnO nanorods from a hydrophilic one to a hydrophobic one have been developed by refluxing precursor in three-necked flask. Comparing with the other modifiers discussed in the paper, NDZ-311w titanate coupling agent was selected as the best one not only because of the good lipophilic modification effect, but also for its multifunctional groups could play a crucial part in further composite with organic materials. Moreover, transmission electron microscopy (TEM), X-ray diffraction (XRD) and Fourier transform infrared spectroscopy (FTIR), respectively, were used to evaluate the morphology, structure and combinative way before and after surface modification. The TEM result showed, after modifying process, there was a thin layer capping on the surface of ZnO nanorods which could be considered as NDZ-311w titanate coupling agent. Through the structure analysis by XRD, it was found that the surface modification had not substantially altered crystalline structure. Besides, the FT-IR test proved that NDZ-311w titanate coupling agent was rather covalently bonded to the surface of ZnO nanorods than physically capping. More practically speaking, the NDZ-311w titanate coupling agent modified ZnO nanorods have much more potential applications in organic materials than unmodified ones.     

风险敏感性控制在CEV模型的应用研究

假设股票的价格遵循CEV过程,经济因子满足两个相互独立的布朗运动,运用风险敏感性随机最优控制理论得到新的结论,最后对于简化的模型,得到最优长期增长率的解析解.     

KdV方程的延拓结构

利用延拓结构理论讨论KdV方程的解,并且给出了带一个参数的KdV方程,得到了该方程延拓代数对应的Lax对.     

纳税最优的工资奖金分配方案研究

根据我国现行的税法,个人所得税纳税采用九级累进税率.年工资和年终奖在速算扣除数个数上存在不同,使得对于相同的税前年收入,如果采用不同的年工资和年终奖分配方案会产生不同的税后实际所得.通过简化变量和缩小有效解区域,以及一系列严格的数学推导,得到了任意年收入下,月工资和年终奖的最优分配方案,使得在现有税制下,纳税额最小,税后收入最大.这个最优方案避免了税金负效应现象,保证了纳税公平性,有利于国家税务监管,企业员工薪金分配和个人纳税筹划;具有广阔的应用前景.     

Generalization of the Bardeen-Cooper-Schrieffer method for pair interactions

We consider the transition to temperature-dependent equations for ultrasecond-quantized problems. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 154, No. 3, pp. 584–592, March, 2008.     

Epidifferentiability of the map of infima in Hilbert spaces

This article deals with derivatives for set-valued maps that take values in ordered vector spaces, in particular it concerns about the relationship between the epiderivatives of a set-valued map and its associated map of infima. When the image space is a real separable Hilbert space ordered by an orthonormal basis, by using a variational technique based on a decoupling of the ordering cone into half-spaces, we show that both epiderivatives coincide under certain hypothesis of compactness and stability. Furthermore we obtain some computation formulas for these derivatives in terms of associated scalar set-valued maps.