查询词典 spectral characteristic

Missirlis in article [1]. At the same time, a sufficient condition for convergence of the PSD method is given to be compared when the coefficient matrix A of the linear system Ax = b is a symmetric, positively defective matrix. In §3.2, an example is given to state that the range of our sufficient condition is wider than theorem 3.3 of article [1]. On the other hand, following a.n analogous approach of [14] and starting the functional relationshipwe have a perfect analysis for the PSD method to converge and optimum valves for the involved parameters under different conditions.Under the assumptions that A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are real,we get necessary and sufficient conditions for the PSD method to convergence.The result is equal to theorem 1 of article [9].Under the same condition, we can see the optimal parameter and of corresponding spectral radius of thePSD method in [8]:(2)When A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are imaginary or zero,we get necessary and sufficient conditions for the PSD method to convergence.In chapter 3, the optimal parameter and of corresponding spectral radius of the PSD method are given by table 3.3. Moreover, under the assumption 0

Missirlis在文献[1]中定理3.3的不准确，同时给出了当线性方程组Ax=b的系数矩阵A为对称正定阵时，PSD迭代法收敛的一个充分条件与之比较，并且在§2.3中用实例说明了对于一部分矩阵而言本文得到的充分条件广于[1]中定理3.3的充分条件；另一方面，按照文献[14]的方法，我们从PSD迭代法的特征值λ与其Jacobi迭代矩阵B的特征值μ的关系式：出发，在不同条件下对PSD迭代法的收敛性和最优参数以及最优谱半径进行了完整的分析：(1)在系数矩阵A为(1，1)相容次序矩阵且对角元全不为零，其Jacobi迭代矩阵B的特征值全为实数的条件下，给出了PSD迭代法收敛的充分必要条件，此结果与[9]中的定理1等价，此时最优参数及最优谱半径由[8]得：(2)第三章表3.3中给出了，当系数矩阵A为(1，1)相容次序矩阵且对角元全不为零，其Jacobi迭代矩阵B的特征值全为纯虚数或零时的PSD迭代法的收敛范围和最优参数，并且我们可以得到当0

This thesis is divided into six parts. The first chapter is preface, the current status of research in the inverse problems for parabolic partial differential equations is reported; the second chapter is "regularization methods for numerical differentiation and their applications ", in this chapter we investigate many regularization methods from a viewpoint of regularization theory and algorithm, some applications in the inverse problems for parabolic partial differential equations are given; the third chapter is "spectral regularization methods". Based on Fourier analysis, within the framework of regularization theory, we apply the spectral methods to some ill-posed problems. Many numerical experiments are done in order to show the validity of the methods; the fourth chapter is devoted to wavelet dual least squares method and a revised wavelet method; in the fifth chapter,we combine finite difference method with method of lines and apply it to the backward heat conduction problem in time; in the sixth chapter "identification problems for unknown source ", the essence and the degree of two problems related to source identification are pointed out, at the same time, some numerical methods are reported.

本文分为六个部分，第一章前言简要分析了国内外抛物型偏微分方程反问题的研究现状；第二章数值微分的正则化及其应用从正则化理论和算法的角度出发，考察了许多正则化方法，还给出了数值微分在抛物型偏微分方程反问题的一些应用；第三章谱正则化方法是在Fourier分析的基础上，在一般正则化理论的框架下，给出了这种方法在各种不适定问题中的应用，数值实验表明谱方法是有效的；第四章研究了小波对偶最小二乘方法和改进的小波方法；第五章主要研究了有限差分方法结合线方法在时间反向热传导问题中的应用；第六章是未知源识别问题，主要指出了两类未知源问题的不适定程度和不适定本质，同时报告了一些数值方法。

Wavelength calibration coefficients were calculated through regression analysis after several ordinal numbers of CCD's pixels corresponding to Mercury-Argon Lamp's spectral lines were measured. The residuals of certain spectral lines were computed using the coefficients measured and the ones from factory, the degree of fitting for regression equation was estimated using the new coefficients. The final results validated the wavelength calibration model.

在测量了多条光谱线对应的CCD像元的序数之后，使用回归分析得到波长定标的系数，连同光谱仪出厂时的波长定标系数，计算出了两组定标系数在给定的一些谱线位置处的残差，并利用实验所得的系数对回归方程进行了拟合优度检验，结果表明波长定标模型是有效的。

Chapter 3 discusses the algebraic and spectral properties of dual Toeplitz operators on the orthogonal complement of the Bergman space, such as boundedness, compactness, spectral properties and so on.

第三章研究了多圆盘Bergman空间的正交补空间L_a~2(D~n~⊥上对偶Toeplitz算子的代数性质，比如：有界性、紧性和谱性质等。

With a large number of contiguous spectral observations provided by very high spectral resolution spectrometers (e.g., FWHM=0.1 nm), an overdetermined bilinear system was formed with Eq.

随着大量的连续光谱观测提供非常高的光谱分辨率分光计(例如，设置= 0.1海里)，利用超定双线性系统和情商的形成。

Neighboring pels are chosen to adaptively estimate predict-coefficient which remove most spatial and spectral redundancy,and then JPEG-LS is used to remove spectral redundancy.

用与待预测像素有较强相关性的相邻像素自适应地估计预测系数的值。消除了大部分的谱间冗余和空间冗余后，再用JPEG-LS进一步去除残差图像的空间冗余。

The 6th chapter studies the application of spectral estimation theory including periodogram and multi-taper spectral estimation in the detecting activation.

接着在第六章我们研究了包括周期图和多窗口谱估计在内的谱估计理论在求取大脑激活区中的应用。

It shows the phase image filtered by vector filtering method which can decrease noise is still clean, the distribution of power spectral density has no change, the spectral information loss after pretreatment though vector filtering was smaller than second mean filtering.

结果表明，相比二次均值滤波法，向量滤波法在降噪的同时，相位图依然清晰，它的功率谱密度分布没有明显变化，预处理后频谱信息的丢失远小于二次均值滤波。

The results were as follows:(1) The spectral sensitivity response at 14 monochromatic light selected through 340nm to 605nm occurred in curve with multiple peaks, the primary peak in 340nm (ultra-violet) is the highest response rate of phototaxis (21%), the secondary in 524nm, and the rest in 400-440nm and 483nm in order;(2) The response rate of phototaxis is increasing as the relative intensity of light, it is showed as curves with inverse "L" shape in white light and the monochromatic light of 483nm, as an upward ladder at 524nm and a near straight line at 340nm. However, the response rate could be detected at the lowest intensity and not arrived to the summit at the strongest yet;(3) The effect of sex to response to the spectral sensitivity and intensity is not significant;(4) There was not significant photophobism response to light for the ladybird, the behavior probably derived from phototaxis or partly due to random movements. It can be concluded that both the spectrum and intensity of light stimulus gave rise to the phototaxis of P.

结果显示：（1）在340~605nm波谱内其光谱趋光行为反应为多峰型，峰间主次不明显，紫外340nm处峰最高，趋光反应率达21%，其它各峰依大小次序分别位于绿光524nm、蓝光400~440nm和483nm处；（2）随光强增强其趋光反应率增大，白光和483nm刺激时其光强趋光行为反应呈一倒"L"型式样，524nm时呈一阶梯型，340nm时为一较平直的线型；光强最弱时仍均有一定趋光率，最强时均未出现高端平台；（3）性别对其光谱和光强度行为反应均有一定影响，但影响不大；（4）龟纹瓢虫无明显的避光反应，其避光行为可能是趋光行为衍生或其随机活动造成。

By using the polar decomposition, spectral decomposition, the spectral theory of operators, the intersection of the spectra of operator completions are obtained.

5深刻研究缺项算子矩阵Mx存在逆补的一般性条件，并获得了补矩阵Mx的所有预解集交集的特性。

Vishnu entered a dark fourth dimensional dream that did not support his field or continued life.

毗瑟挐进入了一个第四密度的黑暗梦想，那里并不支持他的能量场或继续生命。

Leaders and decision-making persons use it to collect the data, including the information of unit work, handing in fee, oweing fee, prepaying fee,changing and afterpaying and account transfering of joining-insurance employee, and account paying of all kinds of insurances from hospitalization insurance institutions.The collected data is picked up, organized, switched and showed to user.

该子系统主要面向各级领导、决策分析人员；从各个医疗保险经办机构和定点医疗机构采集数据，包括在各个医疗保险经办机构处理的单位办公信息，单位缴费、欠费、预缴费信息，参保职工变更信息，参保职工增减变动信息，参保职工补缴信息，参保职工帐户划拨信息：包括各定点医疗机构处理的各险种帐户支出信息，各险种的统筹金支付信息等；将采集的数据提取，组织和转换，然后展示给用户。