THE SHARP ESTIMATE OF THE THIRD HOMOGENEOUS EXPANSION FOR A CLASS OF STARLIKE MAPPINGS OF ORDER α ON THE UNIT POLYDISK IN Cn

In this article,first,a sufficient condition for a starlike mapping of order α f(x) defined on the unit ball in a complex Banach space is given. Second,the sharp estimate of the third homogeneous expan...     

Second-order contingent derivatives of set-valued mappings with application to set-valued optimization

In this paper, a family of parameterized set-valued optimization problems, whose constraint set depends on a parameter, are considered. Some calculus rules are obtained for calculating the second-order contingent derivatives of the composition and sum of two set-valued mappings. Then, by using these calculus rules, some results concerning second-order sensitivity analysis are established, and an explicit expression for the second-order contingent derivative of the (weak) perturbation mapping in the set-valued optimization problems is obtained.     

Hilbert空间中强半压缩算子迭代序列的误差估计及稳定性分析

在实Hilbert空间中,本文讨论强半压缩算子下的迭代序列的误差估计式和强收敛定理,并举例与已有迭代序列的误差估计式进行对比.进一步地,分析该迭代序列的稳定性.我们的结果推广了许多已知结论.     

行列式映射唯一性的一个证明

仅在已知矩阵的乘法运算以及矩阵的逆的定义的条件下,证明数域F上全体可逆矩阵GL(F)到非零数集F*的行列式映射是唯一存在的     

Novel Localized Excitations of Nonlinear Coupled Scalar Fields

Some extended solution mapping relations of the nonlinear coupled scalar field and the well-known φ^4 model are presented. Simultaneously, inspired by the new solutions of the famous φ^4 model recently proposed by Jia, Huang and Lou, five kinds of new localized excitations of the nonlinear coupled scaiar field （NCSF） system are obtained.     

Some New Exact Solutions of Jacobian Elliptic Function of Petviashvili Equation

By using the modified mapping method, we find new exact solutions of the Petviashvili equation. The solutions obtained in this paper include Jacobian elliptic function solutions, combined Jacobian elliptic function solutions, soliton solutions, triangular function solutions.     

Structural and compositional mapping of a phase-separated Langmuir–Blodgett monolayer by X-ray photoelectron emission microscopy

The structure and composition of phase-separated Langmuir–Blodgett monolayer films comprised of mixtures of arachidic acid (C₁₉H₃₉COOH) and perfluorotetradecanoic acid (C₁₃F₂₇COOH) were characterized using a combination of X-ray photoelectron emission microscopy (X-PEEM), secondary electron emission microscopy (SEEM) and atomic force microscopy (AFM). X-PEEM provides high lateral spatial resolution and is directly sensitive to the elemental and chemical (functional group) composition of these ultrathin films through the chemical sensitivity of NEXAFS spectroscopy; AFM provides high-resolution imaging, both in terms of lateral and vertical (height) film topography. SEEM provides additional structural and electronic information through work function and electron scattering effects. The combination is used for chemical mapping of the phase-separated domains in the monolayer film. Our results directly confirm previous AFM measurements that suggested that the discontinuous domains are enriched in arachidic acid, whereas the surrounding continuous domain is a mixture of both arachidic acid and perfluorotetradecanoic acid.     

对称双弹簧振子受迫、有阻尼横振动的混沌行为

对受周期外力驱动的对称双弹簧振子进行了研究,建立了系统的动力学方程,用线性稳定性分析方法讨论了平衡点附近邻域的稳定性,利用数值计算并结合多种分析方法,求解非线性方程和判断解的性质.通过改变系统参数,画出时域图、相图及分岔图等.计算分析和数值实验发现,这个简单的力学系统存在十分丰富的动力学行为(分岔、混沌).理论分析和数值实验结果一致.     

一种实用的傅里叶变换轮廓术系统校准方法

在傅里叶变换轮廓术(FTP)中,根据针孔模型透镜成像理论,在考虑摄像机的径向畸变和切向畸变的情况下,利用畸变量较小的图像中心信息,对测量系统放置位置进行调整。采用相位——高度映射并结合最小二乘法及曲线拟合对高度和畸变分别校准。该方法能够简单、快速的对摄像机系统进行标定和修正,提高了FTP测量的精度,特别是在横向坐标方向上的精度。实验验证了所提方法的正确性。     

电压敏感染料di-4-ANEPPS在灌注液中的光谱特性

研究了电压敏感染料di-4-ANEPPS在溶液中的吸收光谱和荧光光谱特性.结果表明,染料的吸收峰在480 nm附近,加入钙阻断剂BDM不会影响染料的吸收峰位.染料在去离子水和新鲜台氏液中的荧光发射光谱峰位近似,而在灌注后的台氏液中染料的荧光峰位有蓝移现象.这些研究结果为心脏光学标测系统的设计提供了理论依据.