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When a discussion is made on the blow-up problem for a semilinear development equation with singular cofficient,the solution is usually estimated,then the conditions for the blow-up problem are presented.

讨论奇异半线性发展方程组解的B low-up问题时,通常先对解进行估计,然后讨论在一定条件下解的B low-up。论文继续用这种方法讨论奇异半线性发展方程组解的B low-up问题,得到一定条件下解会B low-up

In this project, the singularities of a 6-DOF PUMA manipulator and a 5-DOF GRYPHON manipulator are analyzed in detail and all the corresponding singular directions in task space are clearly identified.

於本计画中,六自由度PUMA机械臂及五自由度GRYPHON机械臂的所有奇异点都被分析出来,且在工作空间上的所有奇异方向亦被全部指认出来。

With the first path discovered by Innocenti, the distribution of these configurations in the workspace is analyzed based on graphic mode of singular surface.

结合Innocenti发现的第一条无奇异路径,采用基于奇异曲面的图形化方法分析了正解构型在工作空间中的分布。

It is concluded that m = 2 tearing mode is produced by the current gradient. Ifoptimized current gradients are retained in the vicinity of q = 2 singular surface, the disruption can be avoided. There is no need to select current density profile on the whole plasma section.

结果表明这种不稳定性由q=2奇异面附近电流梯度的增大引起,因此只要在奇异面附近保持适当的电流梯度就可避免破裂发生,即对电流分布实行局部控制就可实现对破裂的抑制,并不需要去选取某种特定的整体分布。

Aimed at increasing the accuracy and speed of BEM, meanwhile decreasing taken up memory, this dissertation has studied singular integrals and nearly singular integrals of BEM, surface BEM character and multipole BEM delaminating and storing technology, and put forward high precision fast BEM. And appling this method the electric potential and electric field intensities distribution of the UHV insulators are calculated preliminarily.

本论文以提高边界元的精度和计算速度,降低计算机内存占用为目标,研究了边界元的奇异积分和接近奇异积分计算方法、曲面边界元特性以及多极子边界元分层和存储技术,提出了高精度快速边界元法,并运用该方法初步计算了特高压绝缘子上电位和电场强度分布。

Aimed at increasing the accuracy and speed of BEM , meanwhile decreasing taken up memory, this dissertation has studied singular integrals and nearly singular integrals of BEM , surface BEM character and multipole BEM delaminating .

本论文以提高边界元的精度和计算速度,降低计算机内存占用为目标,研究了边界元的奇异积分和接近奇异积分计算方法、曲面边界元特性以及多极子边界元分层和存储技术,提出了高精度快速边界元法,并运用该方法初步计算了特高压绝缘子上电位和电场强度分布。

The singular value decomposition of wavelet transformation module maximum value matrix is proposed.

提出了基于小波变换模极大值矩阵奇异值分解的方法,用该方法获得的奇异值特征矢量作为信号的特征可以压缩特征维数,而且更容易进行计算机自动识别,同时还具有时间平移不变性的突出优点。

There are three main methods in face localization: localization according to face outline, localization according to complexion and localization according to templates constructed by some standard sample images. As to feature extraction, it can be divided into two parts because face features can be divided into geometrical features and algebraic features. While extracting geometrical features, the features of eyes, nose, mouth, eyebrows can be gained by some image processes: binary, sharpen, smooth, projection, calculating gradient and so on. In order to extract algebraic features, we can do some mathematical transformation for the digital images such as singular value decomposition, K-L transformation.

在人脸检测部分,目前存在的方法有利用人脸的几何轮廓进行检测、利用人脸的肤色信息进行检测、构造标准人脸模板进行匹配检测等等;在人脸特征提取部分,可以用一些图像处理的方法如投影、二值化、求梯度图像等提取人脸中各特征器官如眼睛、鼻子、嘴巴等的几何特征,另外也可以借助于数学变换,求取人脸图像的一些代数特征,如对图像进行奇异值分解,以奇异值代表图象的特征,或对图像进行K-L变换,以图像在构造的特征空间上的投影系数作为图像的特征等;在识别部分,可以通过距离度量或相似度来判断输入图像与样本图像的匹配程度,还可以通过神经网络方法进行人脸的识别。

In this method,image compression is completed by singular value decomposition of the wavelet coefficient.

提出了基于小波域奇异值分解的图像压缩算法,该算法通过对小波分解系数进行奇异值分解,进而对小波系数进行压缩,实现图像压缩。

A singular value and singular vector blind multiuser detector is proposed in this paper.

提出了一种基于奇异值和奇异向量的盲自适应多用户检测方法。

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