查询词典 difference boundary value problem

The second chapter is the main part of this paper, in which the formulation of the Riemann boundary value problem of non-normal type on the real axis, the solution method of homogeneous problem, the relation between the two kinds of different derivatives and the inhomogeneous problem will be thoroughly given. In this paper, the solution and the solvability of the Riemann boundary value problem of non-normal type on the real axis will be given. Furthermore, it is shown that the twokinds of derivatives of the function Ψ are existing and equivalent in the case ofthe solution about the original problem, therefore, we get uniformly Hermite interpolatory polynomial. The relation between the two kinds of different derivativesof the function Ψ are similar for smooth closed contours by means of the same proof.

第二章是本文的主要部分，分别给出了实轴上一类非正则型Riemann边值问题的提法、齐次问题的解法、两种导数的关系及非齐次问题的求解，本文运用杜金元教授[11]的方法获得了实轴上非正则型Riemann边值问题的封闭解及可解性条件，且在问题可解的情况下论证了函数Ψ的非切向极限导数和Peano导数存在且相等，从而获得了统一的Hermite插值多项式，同样关于封闭曲线上非正则型Riemann边值问题，采用本文论证方法证得了函数Ψ的非切向极限导数和Peano导数存在且相等，从而较好地统一了[10]、[11]中的Hermite插值多项式。

Second order incident boundary condition on fixed incident boundary is derived for numerical simulations, based on the cnoidal or sinusoidal motions of wave maker paddle, which shows that the prediction with second order incident boundary condition is more accurate than the prediction with first order incident boundary condition. 2 The analytical solution for higher-order Boussinesq equations is derived and its applicable range is discussed. 3 A 2-D fully non-linear numerical model using boundary element method is developed to obtain wave forces acting on rectangular obstacle. 4 The three-dimensional fully non-linear waves are studied in a numerical wave tank using finite element method.The studies on the coupled numerical model combined Boussinesq equations with Laplace equation are following.

非耦合非线性波浪计算模型：1 根据造波板做椭圆余弦运动或正弦运动速度，推导出数值模拟波浪水槽时固定入射边界上的二阶波浪入射边界条件，数值计算结果和实验结果的对比表明采用二阶入射边界条件对波面升高的预报比采用一阶入射边界条件对波面升高的预报更为精确；2 推导了波浪水槽造波板做正弦运动所产生波浪的高阶Boussinesq方程摄动展开解析解，讨论了该解析解的适用范围；3 对整个波浪水槽应用边界元方法数值模拟了波浪对物体的非线性作用；4 用有限元法求解三维Laplace方程模拟了三维完全非线性波浪水槽。

The main creating aspects are finding and clarify such a fundamental physical process that the grain boundaries emit vacancies under compressive stress to induce solute non-equilibrium grain boundary dilution and absorb vacancies under tensile stress to induce non-equilibrium grain boundary segregation, formulizing the structural equations and the composition equations in force equilibrium in grain bounary region to describe this physical processes and the kinetic equations for non-equilibrium grain boundary segregation under tensile stress, calculating the modulus in grain boundary region from the expermental data of grain bounday segregation using the structure and coposition equations and calculating the diffusion coefficients of vacancy-solute atom complexes using the kinetic equation simulating the experimental results of grain boundary segregation.

本项目的主要创新点是，发现并阐明了弹性应力场作用下空位与晶界交互作用的基本物理过程：在张应力作用下，晶界会吸收空位，引起溶质非平衡晶界偏聚；压应力作用下，晶界会发射空位，引起非平衡晶界贫化。建立了描述此物理过程的晶界区力学平衡的结构方程和成分方程；？建立了张应力引起的非平衡晶界偏聚动力学方程？；用晶界区力学平衡的结构方程和成分方程？，首次通过实验测量计算出多晶材料晶界区的弹性模量；通过建立的动力学方程模拟实验结果，首次获得溶质原子－空位形成的复合体的扩散系数。

Value is the product of the relationship of demand and supply between subjects and objects Subjects consist of three levels such as human totality,groups subjecting to the human totality,and human individuals Coresponding to it,objects include the outside world with respect to human totality（groups+individuals+the world outside human being）,the outside world with respect to human groups,and the outside world with respect to human individuals Therefore,things possess value,so do human beings Because humans themselves are the unity of subjects and objects,humans have selfvalue The reciprocal function of the factors constituting value decides the production of value,promote the changes of value,which is the basic subject of thelaw of value The three factors which have influence on the changes in value are the demand of subjects.the character of objects.and practice The origin of the conflicts of value concepts lies in the differences and opposites of the living conditions of human subjects The direct originis the differences and opposites of value objects Therefore,in order to gradually eliminate the conflicts of human value concepts,the differences of the living conditions of human subjects must be eliminated thoroughly

价值是主客体之间需要与满足关系的产物。主体有人类整体、人类整体之下的群体以及人类个体三个层次，与之相应，客体也包括与人类整体相对的外部世界（群体+个体+人以外的世界）、与人类群体相对的外部世界以及与人类个体相对的外部世界。因而不仅物具有价值，人亦有价值。由于人自身是主客体的统一，因而人还有自我价值。构成价值的各个要素相互作用决定价值的生成、推动价值的变化，这是价值规律的基本内容。影响价值变化的主要有主体需要、客体属性及实践三个要素。价值观念冲突的最终根源在于人类主体生存条件之差别和对立，直接根源则在于价值客体的差别和对立。因而要逐步消除人类价值观念的冲突就必须从根本上消除人类主体生存条件方面的差别做起。

The first part is literature review of relevant Customer Value Theory. In the following part, research questionnaires about customer value in health and fitness entertaining and straight rebuy tendency are designed concerning to existing survey methods and combined with the status quo and features of health and fitness entertaining enterprises. The third part is surveys and analysis about the status quo of custom value in bodybuilding clubs in Nanjing. Six common factors, named as "sentimental value","consumption cost","product value","service value","expected value", and "function value", are concluded as the elements of customer value in health and fitness entertaining after factor analysis and are discussed in the fourth part. In the fifth part, influences of the various elements of customer value on customers' straight rebuy are obtained by Logistic regression analysis. The sixth part is about the relationship between customer individual attribute and customer straight rebuy reached through partial correlation analysis.

首先，梳理了顾客价值理论和体育健身俱乐部相关研究的文献；其次，以顾客价值已有的探测方法，结合商业性健身俱乐部的现状及特点，设计出商业性健身俱乐部顾客感知价值及重购意向的调查问卷；第三，对南京市健身俱乐部顾客价值现状进行了调查和分析；第四，通过因子分析得出商业性健身俱乐部顾客价值构成要素结构，共有六个公共因子，命名为&情感价值&、&消费成本&、&产品价值&、&服务价值&、&期望价值&、&功能价值&；第五，通过Logistic回归分析，得出健身俱乐部顾客价值构成要素对顾客重购行为的影响；第六，通过偏相关分析得出健身俱乐部顾客个体属性与顾客重购行为的关系。

However, the second associated Legendre function is too complicated to compute, so a simple and practical ellipsoidal harmonic series expansion is introduced, and the series solution and integral solution of the Dirichlet boundary value problem and the Neumann boundary value problem under ellipsoidal boundary are given.

鉴于展开式中第二类缔合勒让德函数的计算较为复杂，接着引入一种形式简单、实用的椭球谐级数展开，介绍了椭球界面下Dirichlet边值问题和Neumann边值问题的级数解和积分解。

Under the condition that the flux function has one inflection point, by the structure of weak entropy solution of the corresponding initial value problem and the boundary entropy condition developed by Bardos-Leroux-Nedelec, we give a construction method for the global weak entropy solution of the initial-boundary value problem arid clarify the solution structure nearby the boundary.

在流函数具有一个拐点的条件下，由相应的初始值问题弱熵解的结构和Bardos-Leroux-Nedelec提出的边界熵条件，给出初边值问题整体弱熵解的一个构造方法，澄清弱熵解在边界附近的结构。

Based on Pontryagin maximum principle, the lunar soft landing problem is transformed into a two-point boundary value problem in mathematics. In consideration of the bound condition and transversality condition, the resulted two-point boundary value problem is converted into a parameter optimization problem aiming at the initial values of conjugate variables and the terminal time, then it is solved by the nonlinear programming.

首先，从庞德里亚金极大值原理出发，将有限推力作用下月球软着陆问题转化为数学上的两点边值问题；在考虑边界条件及横截条件的前提下，将该两点边值问题转化为针对共轭变量初值和末时刻的优化问题；然后应用非线性规划方法求解所形成的参数优化问题。

In this paper, a moving-boundary problem occurring under the acidifying was discussed, which was transformed into a coupled problem of an initial-boundary value problem of nonlinear parabolic equation and an initial value problem of differential equation.

建立了油气层酸化过程中的动边界模型，经Landau变换后，将所求问题转化为定边界上的非线性抛物型方程初边值问题和常微方程的初值问题的耦合问题，并给出了耦合问题的全离散格式。

With the evaluation, each group measuring value is considered as a single subsystem, and the minmax-difference, mean difference and the mean square value of each group are calculated. Then, the ratio of the mean difference to the measurement mean value is defined as the system-relatively error of subsystem and the ratio of the minmax difference to the measurement mean value is defined as the accidence-relatively error of the subsystem.

以每组为一个子系统，分别计算出每组的极差、平均差和标准差，然后定义平均差和测量平均值的比值为子系统的系统相对误差，定义极差和测量平均值的比值为子系统的偶然相对误差。

Fostering the concept of multi-culture firmly and mastering the development of advanced culture correctly are conductive to resisting terrorism, separatism of nationalities and ultraism of religion, which is of great academic theoretical, immediate and profound historical si...

牢固树立多元文化的理念和正确把握先进文化的发展方向，有助于在世界范围内自觉地抵制恐怖主义，民族分裂主义和宗教极端主义。不仅具有重大的学术理论意义，而且也具有重大的现实意义和深远的历史意义。

But if anyone walks in the night, he stumbles, because the light is not in him.

11：10 若在黑夜行走，就必碰跌，因为那光不在他里面。