正则函数的一类Hilbert边值问题

文章主要研究了上半平面内正则函数的一类Hilbert边值问题。首先给出了上半平面内正则函数的一类新的Hilbert边值问题的提法,然后通过把Hilbert边值问题转化为Riemann边值问题的方法,得到了上半平面内正则函数的Hilbert边值问题的唯一解。     

Optimal boundary control of heat conduction problems on an infinite time domain by control parameterization

The present paper deals with an optimal boundary control problem in which the process of systems under consideration is governed by a linear parabolic partial differential equation over an infinite time interval. The objective of the paper is to determine the optimal boundary control that minimize a given energy-based performance measure. The performance measure is specified as a quadratic functional of displacement and a suitable penalty term involving the boundary controls. In order to determine the optimal boundary controls, the problem with boundary controls are converted into a problem with distributed controls. The modal space technique is then used to reduce the system into the optimal control of time invariant lumped parameter system. The associated system of uncoupled first order initial value problems is solved in terms of controllers. Next step deals with the computation of the control and trajectory of the linear time-invariant lumped parameter. For this we approximate the controllers by a finite number of orthogonal exponential zero-interpolants over the interval [0,∞). The resultant performance index after using the optimality condition leads to a system of linear algebraic equations. The suggested technique is easy to implement on digital computer. We provide a numerical example to demonstrate the applicability and efficiency of the proposed approach.     

ISPH中的固壁边界的处理

介绍了ISPH（incompressible Smoothed Particle Hydrodynamics,ISPH）的原理,以及SPH的一些基本原理和基本公式后,侧重介绍ISPH的固壁边界的处理方法。通过模拟Couette流,并与WCSPH（Weakly Compressible SPH）的结果及级数解作对比,验证了这种处理方法的有效性。     

一种视频镜头边界检索方法及其应用

提出了一个基于关键区域色彩矩阵的视频镜头检测方法,详细地描述了这种方法的原理,并比较了该方法与其它方法的优缺点,最后阐释了该方法在视频内容检索系统中的运行策略。     

HK积分的Rubinowicz表示

本文在论证Rubinowicz表示的存在性同时;剖析了Rubinowicx表示在衍射问题中的应用。     

Redesign of a conformal boundary recovery algorithm for 3D Delaunay triangulation

INTRODUCTION The Delaunay criterion provides a good way to triangulate a given point set. However, the prede- fined point connectivity is not certainly preserved during the triangulation, and some boundary con- straints may be lost in the resulting triangulation. Therefore, the recovery of missing boundaries be- comes an important topic. 2D boundary recovery problem turns out to be much easier to resolve in theory and practice than its 3D counterpart. It has been shown that there are cer…     

讨论分段函数在分界点处极限、连续性及导数的定理

文章通过阐述分段函数的本质特征,给出讨论分段函数在分界点处极限、连续性及导数的定理,解决在讨论分段函数的极限、连续性及导数时,为什么要在分段函数的分界点处进行讨论以及怎样讨论的问题.     

基于拟合函数的艾滋病治疗模型的评价

艾滋病的治疗方法很多,为了能够准确、及时、有效地治疗艾滋病,需要从众多的治疗方案中找到合适的一种,为此利用拟合函数、边际疗效和性价比建立了一个评价艾滋病疗法优劣的数学模型.并利用计算机中的数据库知识对该数学模型进行了分析,使它更接近现实生活中艾滋病的治疗.     

创新生态系统:概念差异、根源与再探讨

创新范式从线性创新发展到创新系统再到如今备受重视的创新生态系统,各界均展开了丰富研究。通过对创新生态系统概念的梳理,发现到目前为止学界对概念的理解由于学科来源和理论视角的差异并未达成共识,针对此问题文中提出差异根源为系统主体的异质性和多样性,边界的模糊和流动性特征,并进一步总结概念的优化进展情况,最后在此基础上提出：创新生态系统是为了实现价值共创以企业为核心的创新组织之间、创新组织与创新环境之间形成协同创新的共存共生共荣的动态网络系统,并强调两个创新点：“有限隐喻”和对“用户”的重视。