有限级拟亚纯映射在Borel方向上的充满圆

对于开平面上有限正级的K-拟亚纯映射在Borel方向上的性质进行了研究,用比较简单的方法证明了有限正级K-拟亚纯映射在其Borel方向上一定存在充满圆序列.把A.Rauch关于亚纯函数的结果推广到K-拟亚纯映射上.     

Two-time level ADI finite volume method for a class of second-order hyperbolic problems

In this paper, we develop a two-time level alternating direction implicit (ADI) method for a class of second-order hyperbolic problems on a rectangular domain. The method builds on the finite volume method with biquadratic basis functions for the discretization in space, and a Crank-Nicolson approach for the time stepping. We obtain a second-order error estimation in the H¹ norm. Numerical experiments are performed to demonstrate the theoretical findings.     

A curvilinear method based on minimal-memory BFGS updates

We present a new matrix-free method for the computation of negative curvature directions based on the eigenstructure of minimal-memory BFGS matrices. We determine via simple formulas the eigenvalues of these matrices and we compute the desirable eigenvectors by explicit forms. Consequently, a negative curvature direction is computed in such a way that avoids the storage and the factorization of any matrix. We propose a modification of the L-BFGS method in which no information is kept from old iterations, so that memory requirements are minimal. The proposed algorithm incorporates a curvilinear path and a linesearch procedure, which combines two search directions; a memoryless quasi-Newton direction and a direction of negative curvature. Results of numerical experiments for large scale problems are also presented.     

迈克耳孙干涉仪条纹计数器的研制

设计了电路简单、可自动识别条纹移动方向的迈克耳孙干涉仪条纹计数器。该计数器仅用9个常见的分立元件即实现了对光信号的采集、放大、滤波、整形的功能,并有效地去除了计数过程中的干扰因素。输出信号经条纹移动方向识别电路后,送入可逆计数器能自动进行相应的加计数或减计数并显示。     

非精确交替方向总变分最小化重建算法

CT (computed tomography)系统实际应用当中, 经常会出现扫描数据不满足数据完备性条件的情况. 针对不完全角度重建问题的研究, 是目前迭代型算法研究中的一个热点. 一系列基于带有约束的总变分最小化的重建算法近年来在不完全角度重建中取得了较好的效果, 这其中基于交替方向法 (alternating direction method, ADM) 的重建算法表现出更好的性能. 然而, ADM方法在求解过程中对矩阵求逆的处理效率不高, 导致极大的计算开销. 本文针对该问题, 使用非精确ADM方法, 利用线性近似的方式替换掉计算开销较大的项, 使得矩阵求逆问题可以通过快速傅里叶变换加速实现. 实验结果表明, 本文提出的非精确交替方向总变分最小化重建算法与精确ADM重建算法相比, 没有明显的精度损失, 计算时间缩减30%左右. 关键词： 不完全角度重建 总变分最小化 非精确交替方向法     

财务重述对分析师预测行为的影响研究

本文以我国2005-2009年间A股市场发生年度财务报表重述的公司并结合相应的分析师预测数据作为样本,分别考察了财务重述和财务重述调整金额对分析师跟进及预测特征的影响。多元回归结果表明:财务重述会减少分析师跟进、增加分析师预测误差,重述调减以前年度损益的程度越大,分析师预测的分歧和误差就越大;而财务重述增加分析师预测分歧、重述调整金额影响分析师跟进的假设却未得到证实。本研究发展了财务重述、分析师预测的研究内容,为提高公司财务报告质量、规范分析师行业提供了相应的思路。     

Geometric properties of basic hypergeometric functions

In this article, we consider basic hypergeometric functions introduced by Heine. We study the mapping properties of certain ratios of basic hypergeometric functions having shifted parameters and show that they map the domains of analyticity onto domains convex in the direction of the imaginary axis. In order to investigate these mapping properties, some useful identities are obtained in terms of basic hypergeometric functions. In addition, we find conditions under which the basic hypergeometric functions are in a q-close-to-convex family.     

Skin Thickness and β-Crystals Development in Injection-Molded iPP Along the Flow Direction

In this study, iPP was injection molded at 180°C, 200°C, and 220°C. According to polarization optical microscopy (POM) results, for a given part, the skin thickness steadily decreases along the flow direction. However, at the same distance from the gate, the skin thickness of the parts molded at lower melt temperature is larger than that molded at higher melt temperature. It is found that flow time (here, the time taken for melt to pass the specific position along the flow direction) and melt temperature are two significant factors leading to this phenomenon, while the gate size is another one.

The DSC and WAXD results show that the relative fraction of β-form crystals, for a specific part, decreases along the flow direction, which is mainly determined by flow time. However, for the parts molded at different molding temperatures, the fraction of the β-form crystals is mainly determined by the molding temperature, though this influence is very complex.     

尺度缩小合成孔径激光成像雷达的孔径合成实验

设计了一种尺度缩小的合成孔径激光成像雷达(SAIL),在实验室平台上模拟实施远场传输条件,相应地解决了波前测量和外差质量监视技术,实现了一个目标点的方位向孔径合成实验,实验结果与理论预测相近.