Hölder Conditions for Endomorphisms of Hyperbolic Groups

It is proved that an endomorphism φ of a hyperbolic group G satisfies a Hölder condition with respect to a visual metric if and only if φ is virtually injective and Gφ is a quasiconvex subgroup of G. If G is virtually free or torsion-free co-hopfian, then φ is uniformly continuous if and only if it satisfies a Hölder condition if and only if it is virtually injective.     

SinC2N团簇结构及稳定性的密度泛函理论研究

利用密度泛函理论(DFT)中的B3LYP/6-311G*方法,对SinC2N(n=2-6)团簇的几何结构、振动频率和基态能量等性质进行了研究,分别讨论了其基态和亚稳态结构的能量及自旋多重态。振动频率和振动强度被用来判断体系的稳定性。结果表明,随着Si原子数的增加,零点振动能、热容量和熵近似线性增长,其平均增幅分别为1.03kcal/mol、4.84cal/mol•K和11.96cal/mol•K。n为奇数的SinC2N团簇比n为偶数的更为稳定。     

过渡金属原子钴掺杂硅团簇CoSi6-9的密度泛函理论研究

利用密度泛函理论对CoSin(n=6-9)中性团簇的几何结构演化和电子结构性质进行研究,结果表明Co掺杂硅团簇的最小笼状尺寸是n=9,其中Co原子被扭曲状的Si9棱柱包拢。CoSi8团簇由于存在多个能量相近的异构体,导致团簇的吸附活性降低。自然电荷布局分析表明对于笼状的Co@Si9团簇,其电荷主要分布在外围的硅笼,内部的Co原子通过spd杂化与外部硅笼成键,这保持了笼状团簇的稳定。     

Properties of Convergence for a Class of Generalized $q$-Gamma Operators.

In this paper, a generalization of $q$-Gamma operators based on the concept of $q$-integer is introduced. We investigate the moments and central moments of the operators by computation, obtain a local approximation theorem and get the pointwise convergence rate theorem and also obtain a weighted approximation theorem. Finally, a Voronovskaya type asymptotic formula was given.     

Experimental verification of Foreman dislocation model

We present a strain analysis of an edge dislocation core, and a detailed discussion of the Foreman dislocation model. In order to examine the model, the quantitative measurement of strain field around an edge dislocation in aluminum is performed, and high-resolution transmission electron microscopy and geometric phase analysis are employed to map the strain field of the edge dislocation core in aluminum. The strain measurements are compared with the Foreman dislocation model, showing that they are in good agreement with each other when 0.7 ≤ a ≤ 1.5.     

SINS/GPS组合导航系统选星算法

选星算法是SINS/GPS组合导航定位系统中一个重要的步骤。在最佳选星算法的基础上,提出了一种适用于基于伪距、伪距率的SINS/GPS紧耦合组合系统的选星算法。该算法通过ENU（东北天）坐标系中几何矩阵及几何精度因子的定义,利用星历给出的卫星在ENU坐标系中的高度角和方位角解算出最佳四颗导航定位卫星,即基于G矩阵的选星算法。通过与两种常规选星算法的对比,验证了本算法具有较强的工程实用性。此外又推导了基于G矩阵的伪距、伪距率的SINS/GPS组合系统量测方程。该算法避免了求解卫星的位置,从而有效减少了计算量。     

Lagrangian Grassmann manifold Λ(2)

Based on the relationship between symplectic group Sp(2) and Λ(2), we provide an intuitive explanation (model) of the 3-dimensional Lagrangian Grassmann manifold Λ(2), the singular cycles of Λ(2), and the special Lagrangian Grassmann manifold SΛ(2). Under this model, we give a formula of the rotation paths dened by Arnold.     

Existence and asymptotic behavior of traveling wave solution for Korteweg-de Vries-Burgers equation with distributed delay

In this paper, we investigate the existence and asymptotic behavior of traveling wave solution for delayed Korteweg-de Vries-Burgers (KdV-Burgers) equation. Using geometric singular perturbation theory and Fredholm alternative, we establish the existence of traveling wave solution for this equation. Employing the standard asymptotic theory, we obtain asymptotic behavior of traveling wave solution of the equation.