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Chapter 4 discusses the stability of a class of nonlinear impulsive partial differential equations. The main idea is translating the stability of the considered nonlinear impulsive partial differential equation into that of the corresponding linear impulsive ordinary differential equation via Gronwall-Bellman inequality with impulse on the basis of comparison theorem.

第四章基于比较定理,主要利用含脉冲的Gronwall-Bellman不等式初步讨论了脉冲偏微分系统的稳定性,将一类非线性脉冲偏微分方程的稳定性化归为线性脉冲常微分方程的稳定性,为将脉冲常微分方程稳定性的有关结论推广到脉冲偏微分方程提供了理论依据并奠定了基础。

Partial comment thinks, yang Zhiyuan is not a right Yahoo leader, although there is a ring of light of the person that Yahoo is founded on his body, but in Internet of change with each passing day of of all kinds pattern today, his partial commerce thinking is already malapropos.

部分评论认为,杨致远并非一个合适的雅虎领导人,尽管他身上有着雅虎创建者的光环,但在互联网各类模式日新月异的今天,他的部分商业思维已经不合时宜。

The factor of the mixed partial derivative term controls the grid orthogonality. The other two factors of second order partial derivative terms control the grid spacing. The stre...

利用方程系数的这些特性,提出一种 Numman边界条件的给定方法,较好地实现了网格正交和疏密分布的有效控制

For the partial products generation, the novel method of Booth encoding combined with partial products generating is put up, which can directly map the multiplicand and multiplicator to partition products without generating the BOOTH encoding results. For the optimization of Wallace tree adding, the series formulas of full-adder and 4-2 Compressor realization are introduced to guidance the selection. For the non-bias round, forwarding round disposal in Wallace tree method is brought forward to avoid the final multi-bit adder. Also, the idea of delay-oriented partition of the MAC frame is put up to achieve the perfect match with multi-pipeline DSP architecture.

提出了一种构建多模式算法最小并集的MAC通用结构思想与一种划分MAC通用结构以适应多流水级DSP处理器设计的通用MAC设计方法;对于BOOTH编码和部分积产生,提出了直接建立被乘数与部分积的多路选择映射关系的BOOTH编码和部分积联合产生方法;对于最优Wallace树型加法实现,提出了全加器和4-2 compressor电路实现Wallace树加法所需的关键加法路径级数公式以指导实现选择;对于无偏舍入处理,提出了在Wallace树处理舍入问题的舍入运算前置方法;提出了以时延为导向的MAC各部分单元组合与流水线匹配具体方法。

There are many problems can be described by the partial differential equation in the natural science and engineering technology field, studying the numeric solution of these partial differential equations is a strong tool for solving these problems.

在自然科学与工程技术领域中有许多问题都可以用偏微分方程来描述,研究偏微分方程的数值解是解决上述问题的有力工具。

Criterions of partial stable matrix and normal form of partial positive definete matrix are given, some conditions of solvability and uniqueness of Lyapunov matrix equation are discussed.

给出了部分稳定矩阵的几种判据与部分位正定矩阵的标准型,研究了矩阵方程可解性、唯一性的几种条件,提出一些可供进一步研究的问题。

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。

In this paper,we discuss the extension of the Dω-order and D*ω-order in partiany or-dered group,obtain the necessary and sufficient condition for an extension of the partial-or-der in partially ordered group to Dω-order and D*ω-order, and the condition for the exten-sion of every partial order in a group to Dω-order.

讨论了偏序群的Dω-序扩展,得到了偏序群的偏序可扩展成为Dω-序的充要条件,以及每一偏序均可扩展成为Dω-序的条件,同时刻划了Dω-序群。

The course content includes ordinary differential equation, linear algebra, vector calculus, Fourier analysis and partial differencial equation partial differential equation, with the aim to train students in establishing an exact perception to the meaning of theory, calculation and experimentation.

课程内容有常微分方程,线性代数,向量微积分,Fourier 分析及偏微分方程式等章节,训练同学在理论,计算及实验间建立正确的认知及意义。

The results show that the perfect strength can be obtained under oxygen partial pressure about 20% O2, overhigh or low oxygen partial pressure is unfavorable for recrystallization of Fe2O3, which causes a decrease of pellet strength. The original hematite will be transformed into magnetite on reduction firstly when carbon-burdened hematite pellet is roasted in oxidizing atmosphere, and then the magnetite will be oxidized to secondary hematite, which is more active than original hematite, therefore, the induration strength of pellet is able to be enhanced.

研究结果表明:内配碳赤铁矿氧化球团在接近空气配比(氧含量约20%,体积分数)的氧化性气氛中焙烧强度最大,氧含量过高或过低都会影响Fe2O3的再结晶,使球团强度降低;在氧化性气氛中焙烧含碳赤铁矿球团时,原生赤铁矿先还原为磁铁矿,磁铁矿再氧化成活性较高的次生赤铁矿,提高了赤铁矿焙烧固结性能和球团强度。

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Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14:33 盐本是好的,盐若失了味,可用什么叫它再咸呢?

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申,人民解放军是在中国共产党领导下的人民军队。

After five years at the Laue-Langevin Institute in Grenoble, France, Jolie turned his focus to experimental work when, in 1992, he accepted a position at the University of Fribourg in Switzerland.

他在法国格赫诺柏的劳厄–蓝吉分研究所工作了五年之后,1992年转往瑞士夫里堡大学从事实验研究。