值

It offers the idea according to problem faced, considering the good character of the ends,the ajusted cubic B-spline curve is used to fit ship lines.it finds out the control vertexs according to a sequence of given points,and then, through particular formula,each point in the curve could be worked out.

针对面临的问题，提出了自己的思路，在数学计算方法上，由于三次准均匀B样条曲线良好的端部性质，这里用它来拟合船舶型线，首先根据所给的初步型值求出其控制顶点，然后根据相关公式进行插值便能得到曲线上的所有插值点。

This chapter clarifies the nested relationship between the matrix family of unitary, orthogonal, Givens, Householder, permutation, and row or column symmetric matrices. A precise correspondence of the singular values and singular vectors between the unitary-symmetric matrix and its mother matrix is derived and proved (hence a fast algorithm of singular value decomposition for unitary-symmetric matrix is straightforwardly obtained), and the corresponding perturbation bound is provided.

该章揭示了酉对称矩阵、正交对称矩阵、 Givens 对称矩阵、 Householder 对称矩阵、置换对称矩阵和行对称矩阵之间的逐级包含关系；推导并证明了，酉对称矩阵的奇异值和奇异向量与母矩阵的奇异值和奇异向量之间的定量关系，据此可得酉对称矩阵奇异值分解的快速算法；给出并证明了摄动矩阵的摄动界。

In chapter 3, prediction theory of time series is reviewed, then non-linear autoregressive model of time series-feedforward neural networks is presented, at the same time a new method-SVD is proposed to design the architecture of feedforward neural networks. By using a trained network with a sufficient number of hidden nodes, according to the distribution of singular values of hidden nodes outputs, we can decide the optimum number of hidden nodes, then the reduced network will be retrained.

第三章：先回顾了时间序列的预测理论，提出了时间序列的非线性自回归模型-前馈神经网络模型，并提出了一种设计前馈神经网络的新方法-奇异值分解法，初始网络结构足够大，网络训练后，对网络隐层节点输出所形成的矩阵作奇异值分解，根据奇异值分布情况，决定网络隐层节点的个数，优化后的网络重新开始训练。

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。

It is found that generally the hydrologic noises exhibit skew characteristics, so that it is reasonably to use skew probability distribution to describing the noise components, and the wavelet coefficient threshold obtained by optimal entropy criterion based on information entropy theory in the global optimum.

分析结果显示，水文序列中的噪声成分具有偏态特性，因此本文应用偏态分布线型对噪声成分进行描述更为合理，而且小波系数阈值优选熵准则所得的阈值是基于信息熵理论而确定的，因此是整体上最优值。

The median velocity was calculated instead of the mean because it is fairly common to find outliers (e.g., breaking a ski pole during the race would make the velocity very low and aberrant).

这里计算的是速度中间值而不是平均值，这是因为中间值较容易发现异常值（例如，在比赛中打破一个滑雪杆会使速度变得异常低）。

In this paper,the Riemann boundary value problem for bianalytic vector function s is investigated using the theory of boundary value problem for analytic functions,we have not only found the solution method for bianalytic vector function s,but also established an explicit form of the general solution and the conditions for the solvability of the above problem.

利用解析向量函数边值问题理论，提出了双解析向量函数的R iem ann边值问题，并研究了问题的解法和解的一般表达式及可解性条件，得到了相应的可解性定理，同样方法可解决多解析向量函数的边值问题

The default warning alarm function is by default we enCheck "C Eye" series of one of the main functions, it will not only provide you with the default alarm level, but also allows you to your own needs, a report to the default values, when the excess The default value, will automatically sound a warning beep to remind you at any time.

预设报警功能是我们enCheck "C眼"系列的主要功能之一，它不但为您提供默认的报警值，而且让您根据您自己的需求，自行预设一个报警值，当超出默认值时，将自动有蜂鸣报警声随时提醒您。

Several interpolation methods are introduced, and their simulation results are compared, and cubic spline interpolation is proved to be the best.

对极坐标距离-多普勒成像中的常用插值算法做了比较，认为三次样条插值是一种比较理想的插值方法。

Main methods are: the nearest interpolation double linear interpolation cubic spline interpolation and other methods.

主要方法有：最邻近插值；双线形插值；三次样条插值等方法。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新