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In order to find a stable approximate solution of linear compact operator equation, the article introduces general theories about ill-posed problems, it bases on spectral theory of self-adjiont compact operators and the singular value decomposition for compact operators, avails singular system to give expression of the solution, and explains ill-posedness of compact operator equation roots in the property that the singular values trends to zero. Thereout, it is provided with theoretic support of building up regularization method by inducting regularization filter to weaken or filtrate the influence that the nature of the singular value being very close to zero has on the solutions stability.

为了得到线性紧算子方程稳定的近似解，介绍了不适定问题正则化的一般理论，以自伴紧算子的谱分析与紧算子奇异值分解为理论基础，利用奇异系给出了解的表达式，说明了紧算子方程不适定性的根源在于紧算子的奇异值趋于零的性质，由此通过引入正则化滤子函数来减弱或滤掉奇异值趋于零的性质对解的稳定性的影响，构造正则算子，从而提供了建立正则化方法的理论依据。

Collins explains that these leaders all set up successors for success, are compellingly modest, and have unwavering resolve.

柯斯林说明这些领导者都安排好能延续公司辉煌的继位者，且具有令人折服的谦虚态度与坚定不移的决心。

Through the classification and analysis of contemporary oil paintings with an tendency of complanation, this paper explains a phenomenon in Chinese contemporary oil painting which cannot be ignored, and demonstrates the reality of complanation that it is an approach to reflect social life.

本篇论文通过对当代平面化倾向油画作品的梳理和分析，发掘和阐释了当代中国油画创作中的一个不可忽略的艺术现象，并论述了平面化作品也是反映社会生活真实性的途径之一。

One side, it explains the conception and characteristic of complanation; the other side, demonstrates the fact that oil paintings with an tendency of complanation occupy a large quotient in Chinese contemporary oil painting.

一方面，对平面化倾向的概念及特点进行说明；另一方面，通过对具体数据的统计，证实了平面化倾向在当代油画艺术领域占有较大的份额。

ABSTRACT Abduction, characterized as finding the most plausible composite hypothesis that explains all observation data, is a basic form of...

反绎推理是人类逻辑推理的一种基本方式，它所具有的多解性和高或然性以及由此引起的高计算复杂性是当前AI研究所遇到的困难之一。

Chapter 4 firstly explains the contents and characteristics of management labor, the defect of the wealth signal revealing mechanism, then analyses systematically the emerging reason, general composition and damages of both operator inside control and big shareholder inside control, and finally points out that insider control is the byproduct of the modern enterprises system, whose damages is far less than the benefit of the modern enterprises system.

第四章首先阐述了管理劳动的内容和特点以及财富信号显示机制的缺陷，然后分别系统分析了经营者内部控制问题与大股东内部控制问题的产生原因、基本构成以及所造成的危害，最后论述了"内部人控制"问题是现代企业制度所带来的副产品，其危害要远远小于采用现代企业制度而取得的收益。

I don't know why I felt so guilty; it was as if I was selling illegal goods, explains he confusedly.

他解释说："我不知道为什么会觉得有罪恶感；就好像我是在销售非法商品。"

In the picture on the left, Conner explains the dress inside this Amish girl's room.

在一幅画的左面，Conner 解释一件挂在阿米绪女孩屋里的衣服。

The article explains how to write a keyword rich article and receive a high ranking on search engines results, consequentially increasing one's website traffic.

本文介绍了如何写关键字丰富的文章，并获得高排名的搜索引擎结果，因而增加人的网站流量。

The "product line---demand---consumers" pyramid" model combining with Maslow"s Need Hierarchy Theory explains the dynamic relationship among the luxury brand"s core products, the main targeted consumers and their main demand. Firstly, competition, sales pressure, market development and other reasons make the core products and product lines growing, namely downward to the bottom of the pyramid; Secondly, with the product line downward to the bottom of the pyramid, the number of luxury consumers has been expanded; Thirdly, because of the exclusive consuming demand, consumers" requirements of conspicuousness and self-fulfillment for the luxury goods are upward to the top of the pyramid.

因此，本研究结合马斯洛需求层次理论，提出了"产品线—需求—消费者金字塔"模型，说明了奢侈品品牌的核心产品、主要目标消费者及其主要需求之间的动态关系：第一，由于竞争、销售压力和市场发展等方面的原因，使得核心产品、产品线有扩大的趋势，即向金字塔下方发展；第二，随着产品线向金字塔下方发展，奢侈品的消费者数量也随之扩大；第三，由于消费需求的排他性，消费者对奢侈品的炫耀性和自我实现性要求则是向金字塔上方发展的。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。