简解一道美国数学月刊征解题

问题设x,y,z∈(0,+∞),且x2+y2+z2=1,求函数f=x+y+z-xyz的值域.这是一道美国数学月刊征解题,贵刊文[1]给出一个三角代换的解法,求解过程中还运用到导数的知识,运算繁杂难度较大,不易掌握.文[2]给出一个     

N-乙基-1,10-菲罗啉-2-甲胺镍(Ⅱ)配合物的合成、晶体结构及性质研究

0IntroductionPhenanthrolinederivativescontainingaminegroupshavebothsoftandhardsitesandaregooddonorsformetalions.1,10鄄phenanthrolineanditsderivativeshavebeenextensivelyusedasligandsinbothanalyticalandpreparativecoordinationchemis鄄try[1].Mostoftheseworksh…     

B—样条曲线的一种高效臬法

为Ｂ－样条曲线及所有导数同时赋值提供一种高效算法，它从最高阶导数赋值开始，把高阶等数于低阶导数的求值。     

有理二次B—样条曲线的权系数与交比问题

对于控制顶点相同的两条有理二次Ｂ－样条曲线，本文证明了从任一控制顶点引出的射线上给定四点的交比值与射线位置无关的充要条件。对于一条有理二次Ｂ－样条曲线，本文还给出了另一种四个共线点的交比表示，此交比仅与过此顶点的射线位置有关，而与曲线的权系数无关，还给出了此交比在一定意义下为射影不变量的充要条件。     

Probabilistic Controlled Teleportation of a Triplet W State

A scheme for probabilistic controlled teleportation of a triplet W state from the sender Alice to the distant receiver Bob is proposed. In this scheme, an m-qubit GHZ state serves as the control parameter. The m control qubits are shared by m（s1, s2… sm） spatially-separated supervisors. With the aid of local operations and individual measurements, including Bell-state measurement, Von Neumann measurement, and mutual classical communication, etc., Bob can faithfully reconstruct the original state by performing relevant unitary transformations. However, even if one participant does not cooperate during the process, the receiver Bob cannot fully recover the original state. This protocol can be extended to probabilistic controlled teleportation of an arbitrary N-qubit state and some other N-qubit entangled states.     

From Discreteness to Continuity： Dislocation Equation for Two-Dimensional Triangular Lattice

A systematic method from the discreteness to the continuity is presented for the dislocation equation of the triangular lattice. A modification of the Peierls equation has been derived strictly. The modified equation includes the higher order corrections of the discrete effect which are important for the core structure of dislocation. It is observed that the modified equation possesses a universal form which is model-independent except the factors. The factors, which depend on the detail of the model, are related to the derivatives of the kernel at its zero point in the wave-vector space. The results open a way to deal with the complicated models because what one needs to do is to investigate the behaviour near the zero point of the kernel in the wave-vector space instead of calculating the kernel completely.     

Asymptotic formulae for multivariate Kantorovich type generalized sampling series

In this paper an asymptotic formula of Voronovskaja type for a multivariate extension of the Kantorovich generalized sampling series is given. Moreover a quantitative version in terms of some moduli of smoothness is established. Finally some particular examples of kernels are discussed, as the Bochner-Riesz kernel and the multivariate splines.