查询词典 mal posed problem

May the love of science continue to illumine his path in the future and lead him to the solution of the most important problem in present-day physics, which he has himself posed and done so much to solve.

祝愿他对科学的热爱继续照亮他未来的道路，并引导他去解决今天物理学的最重要的问题。这问题是他自己提出来的，并且为了解决这问题他已经做了很多工作。

The ill-posed inverse problem of image restoration is studied.

针对图像复原的病态反问题进行研究，分析了图像复原的数学模型及其病态性，提出了组合傅里叶变换与曲波变换的图像复原算法。

After reducing the problem to a nonlinear ill-posed operator equation,Newton type iterative methods were considered.

把问题归结为一个非线性不适定的算子方程后，考虑该方程的Newton型迭代方法。

For a well-posed initial value problem of PDE, this paper estimates the values of its unknown functions on the initial surface with the kernel method in nonparametric regression analysis to deal with the data collected at different time and different positions.

对于一个适定的偏微分方程组广义初值问题，该文利用非参数回归分析中的核估计方法，对在不同时间和不同空间记录下的数据进行整合，估计出未知函数在初始曲面上的值。

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。

The image formation model is introduced,then a motion estimation algorithm is proposed,and total variation is chosen to regularize the ill-posed problem.

建立了超分辨率图像重建的数学模型，估计出场景在观测图像中的运动参数，选择总变分规整化克服问题的病态性得到重建结果。

This paper provided a regularizing operator referring to the inversion method of math to the ill-posed problem and Hirleman"s theory. It is proved the inversion of Mie" theory can get a more accurate resolution by the regularizing idea.As to a laser light sizer, this paper discussed the measurement range and tried to get the judge index of the range of it.

对于采用Mie理论为基础的激光粒度仪的反演过程，使用构造正则算子θ-2提高反演精度，通过模拟证实利用正则化的思想可以明显提高Chahine叠代独立模式粒度反演的容差限。

The weak problem is proved to be well-posed in mathematics, and an effective solution is also given according to the theory of the variational inequality.

本章从数学上严格证明了该弱问题是适定的，并基于变分不等式理论给出了一整套非常有效的解法。

It underscored the vulnerability of American forces in Afghanistan, as well as the continuing problem posed by uncertainties over the loyalties of their Afghan allies, especially the Afghan police.

这次事件显示了在阿富汗的美军的处境之艰难，也突出了一个长久以来就存在的问题，那就是作为美国的盟友，那些阿富汗人有多忠诚？那些阿富汗警察的忠诚度尤其可疑。

In addition, the study area can be layered vertically and decomposed horizontally by the properties of the soil and then the inte rfaces of every layer and region are connected by proper physical condition. So the initial and boundary value problem is well posed .

模式模拟时可依土壤之性质将整个模拟区域做垂直方向分层与水平方向分区之处理，计算时层与层之间、区与区之间再以适当之物理连接条件连接，使其构成一适当之问题。

The studies on the developing of new media are very important to the increasing of the area density of HDD and to the implementation of hybrid recoding technology.

光磁混合记录方法，是一种可以突破超顺磁极限的限制，并进一步提高硬盘记录密度和读写速率的一种新型超高密度信息存储方式。

In io, mTOR inhibition promotes T cell anergy under conditions that would normally induce priming.

体内研究中，在正常可激发免疫反应的条件下，抑制mTOR可促使T细胞无能。