离散的

The many exact solutions, such as, trigonometric function, solitary pattern solutions, solitary wave solutions, Jacobi and Weierstrass elliptic function solutions are given by the auxiliary equation method.

近来，随着计算机技术的发展，关于孤立波的研究越来越多的依赖于计算机软件的应用，随之产生了一系列求解非线性波动方程的新方法，并且这些方法逐渐的被应用到离散的非线性微分—差分系统中来研究离散系统的孤立波问题。

For the dynamic system of discrete coupled and nonlinear three phase voltage source PWM rectifier, the cycle switch average operator is introduced to transform the discrete system into continuous and the small signal perturbation method is used to transform the nonlinear system into linear, the small signal dynamic mathematical models are set up.

中文摘要：针对三相电压型PWM整流器这个离散的、耦合的、非线性的动态系统，引入开关周期平均算子将离散的系统变换为连续的系统，应用小信号扰动法将非线性的系统化解为线性的系统，进而分析系统的小信号动态数学模型。

For the dynamic system of discrete coupled and nonlinear three phase voltage source PWM rectifier, the cycle switch average operator is introduced to transform the discrete system into continuous andthe small signal perturbation method is used to transform the nonlinear system into linear, the small signal dynamic mathematical models are set up.

中文摘要：针对三相电压型PWM整流器这个离散的、耦合的、非线性的动态系统，引入开关周期平均算子将离散的系统变换为连续的系统，应用小信号扰动法将非线性的系统化解为线性的系统，进而分析系统的小信号动态数学模型。

The generating function method is applied to the study of integrability structure of these finite-dimensional systems, by which it is very convenient to prove the involutivity of integrals of motion.

上面所提到的这些连续的和离散的2+1维可积模型被分解成所导出的常微分方程的Hamiltonian系统或常微分方程的Hamiltonian系统以及辛映射所产生的离散流。

The constitutive equation between current density vector and electric field strength vector is tranformed into s-domain by the principle of Laplace transform,and the inverse Laplace transform is adopted for the explicit equations between them in time-domain. Finally through exponential time stepping,the FDTD iteration equations are obtained,which can be easily solved in discrete-time-domain.

该方法是将电流密度矢量与电场强度矢量之间的本构方程基于拉普拉斯变换原理转到复频域，然后再逆变换到时域得到它们之间显式的方程，最后再结合指数差分，得到离散时域的显式的FDTD迭代方程，解决了本构方程中电流密度矢量的分量相互耦合而不易直接离散的困难。

The model of the thesis s forecasting method is synthetical use of experience model method and mine-reserach information adding power model method of mineral resources assessment based on GIS. It use several kinds of analysis means for multi-sources data. Firstly the gold-research prospective domains of this area are forecasted through the spatial query and ana-lysis by means of GIS,based on geological and mineral information of thearea, synthesizing geochemistry anomaly information. Gridding inserting value transforms geochemistry data of sampling point of the south of Acixiarega from scattering data to grid data by means of the development of Delphi and Mapobjects, using distance reciprocal inserting value method. After deposit orientation analyse and spatial overlapping analysis by means of CIS, the gold-research prospective domains of the area are forecasted.

本文所建立的预测方法模型是基于GIS矿产资源评价方法的经验模型法及找矿信息加权模型法的综合使用，对多源数据采用多种分析手段，先以研究区1：5万区域地质资料和矿产资料为基础，综合地球化学异常资料，通过Mapgis的空间检索与分析，做出全区成矿有利区分布图；而阿次夏热嘎南部地区离散的采样点的地球化学数据，是采用面向对象编程语言Dephi与GIS控件Mapobjects为开发工具，运用距离倒数插值法进行插值网格化，从而将离散的数据转换为栅格型数据，矿床定位分析、GIS空间迭加分析，预测出该地区成矿有利区。

In the numerical study, the governing equations of flow and heat transfer in 3 —D body—fitted curvilinear coordinate system being automaticly generated with TTM method were deduced by means of vector and tensor analysis. These equations were dliscreted with nonstaggered grids providing relative elimilating method for the pressure oscillation was domonstrated.

在数值分析中，借助于矢量理论和张量分析，导出了具有普遍意义的三维任意曲线坐标系下的流动传热控制方程，并利于TTM方法生成了计算域的贴体曲线坐标网格；在数值离散过程中，尝试了用非交错网格离散的方法并解决了压力场振荡的抑制问题；运用附面层理论，阐述了壁面函数法在三维任意曲线坐标系上的应用。

Insection 4.3, semi-discrete and fully discrete Fourier spectral and pseudo-spectral schemes are constructed. The convergence and stability for the schemes are proved, and the error estimates are obtained.Chapter 5, consider the damped coupled generalized nonlinear wave equations. In section 5.2, by coupled a priori estimates and Galerkin method, prove the existence and uniqueness of the global smooth solution for the periodic initial value problem and obtain the existence of global attractors.

第四章，考虑一类具耗散的广义KdV方程组的周期初值问题，在第二节中证明了整体光滑解的存在性和唯一性，得到整体吸引子；在第三节中构造了半离散和全离散的Fourier谱格式和拟谱格式，在整体光滑解存在的条件下，证明了这些格式解的收敛性，并得到了误差估计。

Based on the idea and technical in the references[16],[17]and[26]as well as the theories of martingale,Brownian motion and stochastical orders,the expectation of present value of annuities with controlled random interests is obtained,and the upper bounds of present value function of discrete stochastic annuities with random interests in sense of convex order are derived,and the numerical characteristics of upper bounds are also obtained,furthermore,the expec

基于文[16]，[17]和[26]的思想方法以及鞅、反射Brownian运动和随机序的理论，得到了控制随机利率下连续年金现值的期望，并给出了离散随机年金现值函数在凸序意义下的上界，讨论了上界的分布函数和停止损失保费，进而得到了离散的随机年金现值的期望。

Though historically there is a discernible break between Jewish law of the sovereign state of ancient Israel and of the Diaspora （the dispersion of Jewish people after the conquest of Israel）, the spirit of the legal matter in later parts of the Old Testament is very close to that of the Talmud, one of the primary codifications of Jewish law in the Diaspora.

尽管古代以色列君主国的法律与后来离散的犹太族（以色列征服后分散的犹太人）法律有所区别，但是以前遗嘱后面部分的精神实质与犹太法典是非常相近的，犹太法典是离散的犹太族中一种主要的法典编纂。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。