查询词典 boundary value problem

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。

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。

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。

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。

Based on the boundary integral formula and natural boundary integral equation for the boundary value problems of biharmonic equation , the non-symmetrical banding solutions to the circular plate under thermal boundary conditions are gained by the Fourier series and convolution formulae.

根据双调和方程边值问题的边界积分公式和自然边界积分方程，利用傅立叶级数及卷积的几个公式，求得了相应变温边界条件下非对称载荷圆板的弯曲解，从实践上证明了此方法的可行性。

Two problems were solved in numerical calculation, one was that a term of 1/r in Maxwell was divergence in cylindrical center where r=0, another was that the value of optical field at cylindrical center was difficult to decided when the cylindrical center set as a boundary condition in Maxwell equation, So the values of optical field need just calculate from cylindrical center to cylindrical boundary, comparing from cylindrical boundary to cylindrical boundary, near upon half CPU time and RAM saved.

计算中解决了在圆柱中心线上Maxwell方程存在发散项1/r以及用圆柱中心线作为边界条件时，中心线上光场值难确定的问题，因而光场只需从圆柱中心计算到圆柱边界，和以圆柱的两条边做为边界条件比较，节省了将近一半的计算时间和计算机存储空间。

The Neumann boundary value prob-lem is firstly reduced into the equivalent natural boundary integral equation withthe kernel possessing 2nd-order singularity,and then the corresponding variationalproblem on the boundary is obtained.By applying Quak trigonometric wavelet basisBjsee(1.2.3as boundary elements and the method of expanding kernel functionto its Galerkin discretization,we obtain simple computational formulae of the en-tries in the stiffness matrix.

首先，我们将Neumann边值问题归化为等价的带有2阶强奇性核的自然边界积分方程，然后化为边界上相应的变分形式，以Hermite插值Quak三角小波基Bj见(1.2.3作为边界元并利用积分核函数展开法将其离散，得到了十分简单的刚度矩阵系数的计算公式，而且刚度矩阵具有十分简单的形式，它是分块循环对角阵。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。