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Gradient regularization method ; Frechet derivative ; regularization parameters ; parameter identification ; ill posedness ; elliptic operator equation

梯度正则化方法; Frechet导数;正则参数;参数识别;不适定;椭圆算子方程

In the thesis, the controversial ill-conditioning associated with the method of fundamental solutions is reinterpreted in terms of the theory for the Fredholm integral equation of the first kind.

文中应用第一类Fredholm积分方程理论解释了基本解方法的病态性,并建议使用正则化方法克服问题的病态性。

The electromagnetic inverse scattering problem governed by the fiest kind of Fredholm integral equation is an ill-posed problem.

摘要由第一类Fredholm积分方程所描述的电磁逆散射问题是非适定问题。

The ill posed problem can be converted into the first Fredholm integral equation; and an algorithm of inversion is given using the Tikhonov's regularization method.

为了达到净化环境的目的,研究污染物在水体中的扩散现象,进而加以控制,已成为其中重要内容之一。

In the second part,we have mainly discussed the error es-timates of the numerical methods for solving ill-posed problem,including the error estimate of finite-dimensional regulariza-tion method in Chapter 5,and the error estimate of regulariza-tion-spline method for solving Fredholm integral equation ofthe first kind.

在第二部分,我们主要讨论了不适定问题数值方法的误差估计,包括有限维正则化方法求解不适定问题的误差估计以及用样条正则化方法求解第一类Fredholm积分方程的误差估计,两者均是目前还未有的结果。

The inversion of particle size distribution from measured data of light scattering, as a typical inverse problem, has been studied by many reseachers and solved by several numerical methods. Among which, direct Tikhonov regularization method with Morozov discrepancy principle, is often used to overcome the ill-posedness linked with the Fredholm integral equation of the first kind, so the stability of inversion has been heightened. But there has much room for improvement of the inversion accuaracy, especially for the double-peak problems.

由测量得到的散射光强数据来反演颗粒粒径分布是一个典型的反问题,它已为许多的学者所研究,并用多种数值方法来求解,其中带Morozov偏差原理的直接Tikhonov正则化方法经常被采用,以便用来克服与上述反演相联系的第一类Fredholm积分方程的不适定性带来的困难,因而反演的精度得到了提高;然而仍有许多改进的余地,特别是对于所谓"双峰"问题更是如此。

The international freight forwarder market is ill-regulated at present and in particular, the international house B/L is virtually in a disorderly and ruleless situation with no effective regulation in place, resulting in rampant illicit operation. House B/L from abroad has been negotiable with no obstacle, leading to various potential risks. Though the Chinese government has enacted relevant interim regulation or administrative orders aiming to regulating the international freight forwarder and the house B/L, it has failed at large in turning around the messy market.

目前国际货运代理市场较为混乱,其中国际货运代理提单几乎处于管理无序和无法可依状态,非法经营现象屡禁不止,境外货代提单在流通中畅通无阻,危机四伏,虽然中国相关部门制定了相应的临时条例或行政命令来规范国际货运代理及货代提单,但对于混乱之市场状况,仍是杯水车薪。

One source calls in Fremlin beer bottles to explain the word;another, the Irish Gaelic wordgruaimín,"ill-humored little fellow."

一种说法用弗来姆林啤酒瓶来解释这一词;而另一种认为爱尔兰凯尔特语词汇gruaimin 意为"坏脾气的小家伙"为其词源。

The rules are the French dressing on what was already a dog's breakfast of a directive, which a report commissioned by the European Parliament described as "poorly constructed, ill-focused and premature".

这些规则就像是加在本来已是一盘大杂烩的指令上的法国调味酱,欧盟的一份报告上形容该指令"拙劣的,没有重点,不成熟的"。

B:I see.Ill have the French fried potatoes and string beans.

我知道。我要炸薯条和菜豆。

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She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了,但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场,你等着挨绳子吧!

Several theories about reigniting and extinguishing of the arc have been refered.

本文综合考虑了几种电弧重燃和熄灭理论。