特殊函数

Although cursor movement is a general operation shared by all these functions, the specific nature of that movement is unique to each of these functions.

虽则这几个函数共享的一般性动作都是光标移动，但特殊的移动性质却互不相同。

All these phenomena indicate that 9-parameter Murrell-Sorbie analytical potential energy function can truly describe especial potential energy curve of diatomic molecule.

这也从侧面放映出该势能函数能够正确表示双原子分子的特殊势能曲线。

A front part of this paper is special potential function of diatomic molecules, and the other is atomic potential in a field.

本论文将分别就双原子分子特殊势能函数和激光场中的原子势场这两个方面的问题进行研究。

Two eight-node brick elements were generated using discrete operator difference method.

给出了两个八结点块体单元，虽然单元中位移函数是非协调的，不需特殊处理便可保证离散格式收敛，并对单元位移有十分好的反映能力。

The special format AFX comments allow ClassWizard to locate and edit the code within this function.

这个特殊格式的AFX注释允许类向导在函数中定位和编辑代码。

It is shown that for an exchange ring R, the lattice of directed convex subgroups of K〓 is isomorphic to the lattice of all stably co-finite and semiprimitive ideals of R.

作为特殊情形立得Goodearl的结果[41，定理15.20]，作为直接应用，给出了exchange环秩函数存性的一个新刻画。

It is the first important step in video analysis and will directly affects the effectiveness of indexing Shot boundary detection is one of our major research interests and we will tackle the following existing problems the ambiguity between gradual change and camera motion, the discontinuity during gradual change, false detection caused by illumination variation and flashlight, automatic threshold selection Firstly, we discuss shot boundary detection in non-compressed domain In chapter 2, we compare some of the commonly used detection methods which are based on frame difference and point out that single feature will not generate good results As a conclusion, we use fuzzy logic to combine multiple features Presently, most frame difference based shot boundary detection algorithms rely on threshold and hence the selection of such thresholds will greatly affect the performance of boundary detection We propose a membership function to define frame difference and calculate the membership with self adaptation according to the statistic distribution of frame differences to satisfy different type of video clips Experiments show that the proposed fuzzy shot boundary detection algorithm can be used with different video types and has a high detection precision and recall In chapter 3, we discuss model-based shot boundary detection algorithms regarding chromatic and spatial editing effects such as fade-in, fade-out, dissolve and wipe Various parameters are proposed to better describe the characteristics of each editing type.

镜头边界的检测是把视频自动地分割为一个个镜头，作为基本的索引单元，因此它是视频分析重要的第一步，直接影响到视频检索的成败。镜头边界的检测是本文研究的重点之一。目前镜头边界检测算法主要存在以下问题：渐变与镜头运动难以区别；渐变过程中的不连续与停顿、光照条件的变化及闪光灯等特殊情况会引起误检测；自动选择阈值比较困难等。本文首先针对非压缩域视频进行了镜头边界检测的研究。在第二章中我们采用了比较流行的基于帧间差的方法。在比较各种帧间差计算方法的基础上，指出使用单一的特征难以取得很好的检测效果，提出用模糊逻辑综合使用各种特征。目前大多数基于帧间差的镜头边界检测算法都采用阈值法进行镜头转换的判别。阈值选择的误差对检测性能有较大的影响，本文提出用隶属度函数定义帧间差较大、中等较大和较小等概念，并根据帧间差的统计分布自适应地确定隶属度，以适应不同类型的视频片断。实验结果表明这种基于糊逻辑的镜头边界检测算法可以适应不同的视频，并具有较高的检测精度和检出率。在第三章中采用基于模型的方法进行镜头渐变的检测，研究了淡入／淡出、慢转换和扫换的模型。

All the most commonly used special functions are included: Bessel functions, Fresnel integrals, etc.

所有最常用的特殊功能包括：贝塞尔函数，菲涅耳积分等

The most commonly used special function is probably the gamma function

最常用的特殊作用可能是伽玛函数

W. Ehm gave this stochastic processes in 1981, and he obtained most of the exact Hausdorff measure functions for the sets of the range and graph of the processes, excluding some special cases, i.

Ehm在1981年给出了这类过程的定义，并得到了除一些特殊情况（即当稳定过程所在的参数空间的维数与它的特征指标的乘积恰好与稳定过程所取值的空间的维数相等）外，该过程的像集和图集的确切Hausdorff测度函数。W。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐