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PartⅡ,Applying the developed and extended direct algebraic methods that presented in recent years and based on the 2+1 dimensional variable separation solutions,abundant Jacobi elliptic function doubly periodic waves and periodic propagating wave patterns for many 2+1 dimensional nonlinear wave models are obtained,and in long wave limit solitary waves are derived as well.

第二部分，本文拓展和推广(来源：a2AB7aC论文网www.abclunwen.com)了新近发展的几种典型的直接代数方法和基于分离变量解的间接方法，获得多个2+1维非线性波动模型丰富的雅克比椭圆函数双周期波解和周期传播波模式，并得到长波极限情形下存在的非线性孤立波。

This kind of conception involving study of philosophy and features of fictions is finely embodied in his review of A Dream of Red Chamber and analysis of "ideal fiction".

而他的《红楼梦》批评和对"理想小说"的分析界定实际上就是这种讲求人生哲学内涵(来源：bfbfABC论文网www.abclunwen.com)和小说艺术特征的小说批评基本价值取向的集中体现。

In the paper, the basic theory, the key technology of New GPS is investigated. The framework of GPS knowledge base is constructed based with databases based on the general matrix model and Inference Mechanisms based on the duality principle of New GPS.

本文通过对新一代GPS 的理论基础、关键技术的分析和研究，依据新一代GPS 的通用矩阵模型和对偶性原理，研究并提出了GPS 知识库的基本框架，GPS 知识库由基于通用GPS(来源：A31BC论文网www.abclunwen.com)矩阵模型搭建的数据库和基于对偶性原理设计的知识推理机构组成。

Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地，本文的结构如下：第一章给出了问题产生的背景，研究现状及本文的主要工作；第二章研究了在边界上逗留后随机跳的布朗运动，我(来源：3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元，因为无穷小生成元的定义域本质上就是预解算子的值域，知道这个值域和微分算子形式就能唯一地决定无穷小生成元；由于DHJ过程产生的半群不是强连续的，为利用强连续半群的一些漂亮性质，在第三章中我们证明其对偶半群是强连续的，然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理；第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程，Feller扩散过程允许有从边界到边界的跳发生，即不仅仅局限于从边界到内部的跳，在这一章中，我们给出了一维Feller扩散过程的平稳分布；在第五章，我们讨论了一些相关的问题，给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

The spring constants of the cantilever were calibrated according to the Cleveland method,and the conversion from the original data to the force-distance or force/radius-distance curves was obtained with satisfactory results referring to the Ducker\'s classical paper.

采用Cleveland方法对悬臂的弹性常数进行了标(来源：Aecb4BCb4论文网www.abclunwen.com)定，将原始的力-位移曲线数据转化为力-距离曲线或力/半径-距离曲线，并将实验结果与Ducker经典论文进行了对照。

You are the most important element in the success equation.

在成功的等式里，你是最重要的因素。来源：网络

In the simulated intestinal fluid , the erepsin has much contribution of the antioxidant activity of the ultra-fine powder of grape seeds.4 In this research, use dialyzer simulate the absorbability of the small intestine: dialyzing 2h, the content of the polyphenol of the dialysate come to 33% of the the polyphenol of the sample.

说明透析作用仅作用2h，透析液的抗氧化活性就已经很强了，大部分的抗氧化物质能通过被动吸收方式进入透析袋。5在葡萄籽超微粉抗氧化活性的测定方(来源：ABC论文87网www.abclunwen.com)法中，总酚测定法、ABTS、DPPH、CUPRAC法相互之间都呈显著正相关。

Compared with standard Crank-Nicholsonscheme in the same computational time and resource, the method has two characteristics: small truncation error of in the transverse direction and high accuracy. It is a useful tool for designing optical waveguide devices.

与标准格式的有限差分光束传播法相比，该算法在几乎不增加计算时间和计算机内存资源的情况下，结合了道(来源：122eA22BC论文网www.abclunwen.com)格拉斯格式的有限差分光束传播法截断误差小和宽角多步法所具有较高精度的优点，是光波导器件理想的数值模拟工具。

For this method, integeral was proceed by triangular Gaussian quadrature method in polygon domain, which can reduce computational time greatly. Neighbor nodes database was create which can reduce neighbor nodes searching time. Rock and soil cutting problem are two complicated problems, so a robust method is needed to treat essential boundary condition.

岩土掘削数值分析要求无网格法拥有高效而适应性强(来源：ABC论文f1网www.abclunwen.com)的本质边界条件处理方法，本文提出一种新的处理方法，该方法通过改变边界节点权函数使试函数通过边界节点，并采用对角元素改1法满足本质边界条件，该方法灵活性强，适用于各种岩土掘削问题。

The kinetics of the esterification process and the mechanism of the catalytic process are also discussed.

论文还对该酯化反应进行了动力学研究与催化机理探讨。来源：Ac3c3BC论文网www.abclunwen.com

I think people in this lifetime in a rebirth.

我觉得人在这一生里其实也在轮回。

He had to tie her hands together.

他不得不把她的双手绑在一起。