查询词典 discontinuity point

Conley index; prime isolated invariant set; bifurcation point; discontinuity dynamical systems; finite piecewise continuous map; coding; rigorous computer assisted proof; chaos; Ikeda map

基础科学，数学，动力系统理论Conley指标；素孤立不变集；分支点；间断动力系统；有限分片连续映射；编码；计算机严格辅助证明；混沌； Ikeda映射

Then the Fourier series of is convergent, and the sum function is if is continuous at ;If is the discontinuity point of , the sum function is

当是的连续点时，级数收敛于；当是的间断点时，级数收敛于

Interestingly, there is a point of discontinuity around zero.

有趣的是，有一个点的不连续性在零附近。

The point of discontinuity between two levels on the deck of a ship.

任何似甲板的一层（例如公共汽车的一层车厢）。

If is not continuous at , then we say that is a discontinuity point of .

如果函数在点不连续，则称为函数的间断点。

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。

The critical time of failure was determined according to the discontinuity point of activation energy and dynamic mechanical properties.

但由于分子链极性基团的存在，PA66易发生老化，从而导致材料的性能降低，使其使用安全性和使用寿命受到影响。

In transient state signal and in image analysis, the point of discontinuity often is one of important characteristics, they are located the edge of the important structure frequently.

在瞬态信号与图像的分析中，突变点往往是重要的特征之一，它们常常位于重要结构的边缘部分。

Because of the existence of discontinuity point, the stretching direction of one cylinder will be changed when moving to the point.

通过对回转机构运动学的仿真分析，为回转液压系统动态性能分析提供运动学的理论基础。

The algorithm, which multiplies the corresponding wavelet coefficients of adjacent fine scales, enhances the feature of discontinuity point of signals and inhibits the effect of noise signals.

该算法将相邻两个细尺度层上的小波变换系数对应相乘，从而增强了信号在突变点处的特征并抑制了噪声的影响。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。