Estimates of logarithmic Sobolev constat for finite-volume continuous spin systems

LetM be a compact, connected Riemannian manifold (with or without boundary); we study the logarithmic Sobolev constant for stochastic Ising models on . Let {} be a sequence of cubes inZ ^d ; we show that the logarithmic Sobolev constant for the finite systems onM ^A shrinks at most exponentially fast in ||^(d-1)/d (d2), which is sharp in order for the classical Ising models withM=[–1, 1]. Moreover, a geometrical lemma proved by L. E. Thomas is also improved.     

On pasting -weights

Theorem 3 gives a condition when two -weights can be ``pasted' together to yield another -weight. It is subsequently used in Example 6 to give an example that shows that a necessary condition by Gohberg, Krupnik, and Spitkovsky is not sufficient.

     

Method and algorithm of obtaining the molecular intrinsic characteristic contours (MICCs) of organic molecules

The molecular intrinsic characteristic contour (MICC) is defined as the set of all the classical turning points of electron movement in a molecule. Studies on the MICCs of some medium organic molecules, such as dimethylether, acetone, and some homologues of alkanes, alkenes, and alkynes, as well as the electron density distributions on the MICCs, are shown for the first time. Results show that the MICC is an intrinsic approach to shape and size of a molecule. Unlike the van der Waals hard-sphere model, the MICC is a smooth contour, and it has a clear physical meaning. Detailed investigations on the cross-sections of MICCs have provided a kind of important information about atomic size changing in the process of forming molecules. Studies on electron density distribution on the MICC not only provide a new insight into molecular shape, but also show that the electron density distribution on the boundary surface relates closely with molecular properties and reactivities. For the homologues of alkanes, Rout(H), Dmin, and Dmax (the minimum and maximum of electron density on the MICC), all have very good linear relationships with minus of the molecular ionization potential. This work may serve as a basis for exploring a new reactivity indicator of chemical reactions and for studying molecular shape properties of large organic and biological molecules.     

Theory on the molecular characteristic contour (II)--Molecular intrinsic characteristic contours of several typical organic molecules

The molecular intrinsic characteristic contour (MICC) is defined based on the classical turning point of electron movement in a molecule. Three typical organic molecules, I.e. Methane, methanol and formic acid, were employed as examples for detailed introduction of our method. Investigations on the cross-sections of MICC provide important information about atomic size changing in the process of forming molecules. The electron density distributions on the MICCs of these molecules were calculated and shown for the first time. Results showed that the electron density distribution on the MICC correlates closely with molecular chemical properties, and it provides a new insight into molecular boundary.     

N阶线性跟踪-微分器及其在电力系统相角预测中的应用

证明了一种N阶线性跟踪一微分器的收敛性。由于该线性跟踪一微分器的结构参数和跟踪性能对噪声和对象有一定的敏感度和依赖性，采用自适应遗传算法对三阶线性跟踪一微分器的结构参数进行了优化，以期获得较好的参数匹配，提高跟踪预测的精度和速度。将优化后的三阶线性跟踪一微分器用于电力系统参考相角预测研究中，仿真结果证明，优化后的三阶线性跟踪一微分器具有较好的跟踪性能和预测精度，满足电力系统相角预测的要求。     

一种新的矩形网格生成等值线算法

提出了一种利用数据关联表生成矩形网格等值线的算法。该算法的优点是计算效率高，避免了以往等值线追踪算法起始点选取困难、网格出口边判断复杂的问题。算法的追踪结果精度取决于等值点的计算方法，其精度是可控的。这种算法原理可以扩展应用到三角网格的等值线方法中。     

基于Hermite样条轮廓模型的图像轮廓提取

提出了一种采用Hermite样条曲线拟合方法与主动轮廓模型相结合的方法．采用Hermite样条轮廓曲线作为描述主动轮廓线的基函数，给出了这种轮廓模型的能量表达式，利用动态规划技术实现能量最小化的优化过程．采用传统的主动轮廓模型与本文方法分别对两幅颅脑图像中的病变区域提取轮廓，对比实验结果表明，采用Hermite样条轮廓模型可以取得更加令人满意的效果．     

基于单片机的图像传输自动跟踪系统

应用89C51单片机设计了一种简单实用的控制电路，可以自动或手动控制定向通信天线进行360度旋转，跟踪发射机，实现高质量图像和语音信号传输．对其硬件电路组成和软件设计等方面也作了介绍．     

一种感应加热电源频率跟踪控制系统

针对感应加热电源中负载回路谐振频率时变的特点，在以IGBT为功率开关的2kW感应加热电源中，设计并实现了一种频率跟踪控制系统。该系统通过Hall电流传感器、电压比较器和CD4046锁相环对负载电流实现了频率跟踪，使逆变器工作在功率因数接近于1的准谐振状态。通过试验验证，电路简单可靠，运行良好。     

电视跟踪系统的硬件设计

电视跟踪系统是具有一定智能的图像跟踪装置.它利用标准电视信号作为信息源,对其进行数字化处理,从而实现目标跟踪.本文主要介绍了该系统的硬件设计思路,并详细讨论了其中一些关键部分的具体实现.