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It consists of analysising the ill-posed property by means of Fourier Transform,geting its stable solution through constructing the Mollificator and offering the error estimate of the Mollification solutio...

包括以Fourier变换为工具分析其不适定性，通过构造缓镇子获得其稳定的近似解，并给出了缓镇解的误差估计及数值实现过程。

It can t be avoided that the lawmen extort a confession by torture during the century, which has become a serious and intractable problem; therefore it is undoubtedly a great shock for constructing society of monocracy and society of harmony.

中文摘要：刑讯逼供作为横跨世纪的法律顽疾迟迟不能杜绝，这无疑对建设法治社会，建设和谐社会是一个沉重的打击。

And the key of monotone method is constructing appropriate upper and lower solutions.

单调方法的关键是构造合适的上、下解。

A new method for constructing the nonlinear update-lifting morphologic wavelet is presented.

提出了一种新的构造非线性更新提升形态小波的方法。

By constructing Morse-Smale complex over the physically less important subregions and proceeding by repeatedly removing a pair of critical points from the complex,the topological feature is simplified and smoothed,this method is based on the morse theory.

结合Morse理论在次要物理特征所在区域构造Morse-Smale复形，并通过对复形上一系列临界点对的删除，达到简化和平滑函数拓扑特征的目的。

By constructing proper Lyapunov functional, a sufficient condition and a necessary condition which the neutral item must satisfy when the modal is steady are given based on LMI technique and Lyapunov-Krasovskii stability theory.

通过构造合适的Lyapunov泛函，借助线性矩阵不等式的一些技巧以及Lyapunov-Krasovskii稳定性理论，给出了该神经网络模型稳定的充分条件，以及模型稳定时中立项所必须满足的必要条件。

We have succeeded in constructing ANN's input model based on mutual information and got satisfying experimental effect.

实验中采用词间互信息成功构造了神经网络的输入模型，实验效果较为理想。

This paper being based on necessariness, certainty, urgency about building harmonious relationship between person and society under the condition of socialist market economy, on the foundation of refering to related research of domestic and international scholar ,take off from social philosophy visual ,by analyzing problem and contradiction between person and society ,understanding the essence between them deeply, so as to seek the correct channel about constructing harmonious relationship between person and society under condition of socialist market economy.

本文从社会主义市场经济条件下和谐个人与社会关系建构的必要性、必然性及紧迫性出发，在借鉴国内外学者相关研究的基础上，从社会哲学视角出发，通过分析个人与社会关系中的矛盾、问题，通过深刻理解社会与个人关系的本质，以寻求构建社会主义市场经济条件下个人与社会和谐关系的正确途径。

Optimism diverts our attention away from negativism and channels it into positive, constructing thinking.

乐观精神使我们的注意力从消极的否定态度转向积极的、建设性的思考。

By constructing a job-schedule network that can present job-time relationship,the FJSP is transformed to a network flow problem,and a 0-1 integer programming mathematical model is developed.

针对一般形式的固定工件排序问题(即可用机器数是有限的，存在机器与工件间匹配约束，以机器分配成本最小为优化目标)，作者通过建立描述工件间时序关系的工件时序网络，将固定工件的排序问题转化为沿工件时序网络的网络流问题，并建立了0-1整数规划数学模型。

Recall that, in the Kolmogorov axiomatization, measurable sets are the sets which have a probability or, in other words, the sets corresponding to yes/no questions that have a probabilistic answer.

延期开工的Kolmogorov宣布要衡量所有套职能有限许多坐标限制在于衡量子寅。换句话说，如果是/否的问题回答f可看的价值观念在许多最有限坐标，然后它有一个概率的答案。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

实验表明：基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小，它既能去除奇异点，又能保持图像中目标的边缘不变性，具有很好的滤波效果。