查询词典 difference boundary value problem

Based on the given results of second order boundary value problem, the existence of solutions of nonlinear differential-difference equation and unique of solutions of Hammerstein type integro-differential-difference linear equation were established because Hammerstein linear equation featured only one solution.

以二阶边值问题的已知结果为基础，建立了微分差分非线性方程解的存在性，以及Hammerstein型线性方程解的唯一性。

The initial-boundary value problem of dispersive equation is a kind of mathematical model, in this paper, it has been followed the ways of other scholars and used a new method and got a new difference scheme. It was a three layers ten-point implicit difference schemes.

色散方程的初边值问题是在孤立波这样的物理现象中抽象出来的一类数学模型，在前人构造的众多差分格式的基础上，使用新的构造方法，给出了该问题的三层十，点隐式差分格式。

Within this context, four specific areas are addressed:(1) By means of finite integration technique, a new kind of the first order partial difference equation is derived from the original disperse transmission line equation of the uniform waveguide's. As it is the kind of one dimension Dirichlet's boundary problem, it is convenient for us to solve this equation from the leapfrog scheme. Because computation is carried out in one dimension, both high calculation efficiency and precision have been obtained in this method. Meanwhile, this method provide us a different selection to simulate the transient response of waveguide with non-simplical, for examples cylinder and elliptic waveguide, and avoid solving the second order equation, or using finite difference time domain to simulate a three dimension problem, sometimes the latter precision is not satisfied with the need, or low efficiency.

在这一研究内容下，主要研究四个方面的问题：(1)在完成金属波导传输线方程时域形式的基础之上，应用有限积分技术，把波导特征模式的色散传输线方程，化简为一组新的一阶偏微分方程组，该边值问题属一维Dirichlet边值问题，从而便于用蛙跳格式求解，由于是在一维中计算，该方法具有很高计算效率和精度，从而避免了以往为得到金属波导中特征模的时域响应特性，须要求解二阶方程，或用时域有限差分方法求解三维问题的方法，对于后者来说，计算有时是不准确的，或是很耗时的例如计算诸如圆波导、椭圆波导等其它复杂形状的波导。

Between the Chinese and American culture difference has accomplished the China and America classroom instruction difference, but this kind of difference comes from in the Chinese and American education idea and the educational system difference, the China elementary education attention knowledge accumulation and instills into, the attention trains the student to ask the same thought and the attention trains the student to the knowledge itself grasping, but US pays great attention to actually trains the student to carry on the solution actual problem using the knowledge ability, the attention trains the student to the knowledge innovation and the development, also the attention raises the student criticalness thought and the divergent thought.

中美文化之间的差异造就了中美课堂教学的差异，而这种差异来自于中美教育理念和教育制度上的不同，中国基础教育注重知识的积累和灌输，注重培养学生的求同思维和注重培养学生对知识本身的掌握，而美国却注重培养学生运用知识进行解决实际问题的能力，注重培养学生对知识的创新和拓展，且注重培养学生批判性思维和发散性思维。

The growth of functions in these spaces depends on a weighted function ρ. We investigate the relation between growth and boundary values of the functions, and prove that a function or its radial derivative is in one of the spaces if and only if the p'integral average of the difference of its boundary value function is integrable or bounded.

研究这些函数空间中函数的增长性与边界值的关系，得到了函数或其径向导数属于相应空间的充分必要条件是其边界值差分的p次积分平均应具备一定的可积性或有界性。

The results of study show that operator and consumer have different value cognitive structure, in other words, operators and consumers have different link relations in "attribute - result ","result – value", and "attribute – value". At the same time the results of compare means in "attribute ","result " and "value " also show the difference between operator and consumer for "service content attribute " and "price attribute". There are cognitive differences between operator and consumer for "interpersonal relationship and novelty" and "life entertainment", and for "belonging "and "stimulus" of value.

研究结果显示业者及消费者具有不同的价值认知结构，换句话说，业者及消费者在「属性-结果」、「结果-价值」、和「属性-价值」三种链结关系中表现出不同的链结关系；同时个别在「属性」、「结果」和「价值」的差异检定中亦显示，业者及消费者对於「服务内容属性」、「价格属性」等产品属性有认知上的差异；在消费结果中「人际关系及新奇」和「生活娱乐」有认知差异；最后在「归属感」、「刺激」等价值感受有认知上的差异。

Stressing on "fine reputation","quality","service","credit","practice", not only the grandeur.④Encouraging the innovation, not the unearthliness, playing down the effect of entertainment stars or idols, decreasing the fashion index.⑤"personality" is not the "self central". Social sense of responsibility and interpersonal "feeling of affinity" are both intensified.3.1.2 Factor analysis, revealing 19 value element vectors, which include "comfort","personality","simple","fine reputation","responsibility","service","price","wisdom","distinction","enthusiasm","stimulation","taste","sex difference","quality","vigor","idol","fashion","affinity","aesthetic" and so on. Four orientation diagrams coordinated with the average factors and the standard deviations of these 19 value elements, described the multi directional value orientation structure for China college students' sportswear consumption.3.1.3 Clustering analysis are applied to classify the former 19 value elements, which discovered that three inferior group are classified from the college students' consumption group based on the whole specimen data. It could be the reference of enterprise brand building for the orientation of consumption values.3.2 General personal values, self conception and demographic are lead into as three major variables for the interrelationship analysis of sportswear consumption value system.3.2.1 Firstly, the college students having their general values and existing the inferior group feature regarding to the consumption values.

三、研究的主要成果及其意义对中国大学生休闲服消费价值体系进行探索性分析1、首先对中国大学生休闲服消费价值观量化问卷所调查的样本数据进行频数统计趋向性分析，发现呈现的主要特点有：(1)"个性化"和"简约"已成为潮流，而寻"刺激"、找"激情"总体收敛；(2)追求"美感"，更不放弃"舒适"，两者兼得才是完美；(3)重"美誉"、讲"质量"，重"服务"、讲"信用"，求实际、不求高贵，"明智"有素；(4)求新不求怪异，明星、偶像效应淡化、时尚指数不高；(5)"个性化"不是"唯我化"，社会责任感和人际"亲和力"在强化。2、其次对样本数据进行因子分析，揭示出以"舒适"、"个性"、"简约"、"美誉"、"责任"、"服务"、"价格"、"明智"、"独特"、"激情"、"刺激"、"品位"、"性差"、"质量"、"活力"、"偶像"、"时尚"、"亲和"和"美感"等十九个价值元素为矢量的休闲服消费价值体系，并以因子均值和标准差为参数勾画出19个价值元素坐标四方位图，从总体上描述了中国大学生休闲服消费多维的价值取向结构。3、再者进行聚类分析，对上述十九个休闲服消费价值元素作不同量值的分类，发现在样本总量中可以细分为有较大区分度的三个类别，呈现出大学生消费群体中存在休闲服消费价值体系不同的亚群体，可为以消费价值观为取向的企业品牌价值定位提供参考基谱。

The basic idea is to set a continuous solution of the region with a finite number of discrete points instead of a grid consisting of, these discrete points called grid nodes the solution of a continuous area on a given function of continuous variables used in the definition of discrete grid variable function approximation the original equation and boundary conditions in the micro-business operators to approximate differential, integral with the points and to approximate, so the original differential equations and boundary conditions are replaced by algebraic equations near Side, that is, finite difference equations , solve this equation group can get the original problem in discrete points on the approximate solution.

基本思想是把连续的定解区域用有限个离散点构成的网格来代替，这些离散点称作网格的节点；把连续定解区域上的连续变量的函数用在网格上定义的离散变量函数来近似；把原方程和定解条件中的微商用差商来近似，积分用积分和来近似，于是原微分方程和定解条件就近似地代之以代数方程组，即有限差分方程组，解此方程组就可以得到原问题在离散点上的近似解。

Firstly, the approach formulates a cost functional to turn the inverse problem into a constrained minimization problem according to least squares criterion, then the resulting constrained minimization problem is transformed into an unconstrained minimization problem by using a penalty function technique, and then the closed Fr chet derivatives of the Lagrange function with respect to the properties are derived based on the calculus of variations, finally, one can solve the resulting problem by using any gradient-based algorithm and the finite-difference time-domain method.

该方法首先以最小二乘准则构造目标函数，将逆问题表示为约束最小化问题；接着应用罚函数法转化为无约束最小化问题；然后基于变分计算导出闭式的拉格朗日函数关于特征参数的Fr chet导数；最后借助梯度算法和时域有限差分法迭代反演德拜模型参数。

In different conditions, the difference of whisker rotation、cavities evolution and whisker-pulling-out show the difference of grains boundary and interface sliding as well as the difference of capacity of dislocation to coordinate the two sort of slidings.

晶须转动、孔洞演化、晶须拔出等在不同条件下的差异实际上是晶界及界面滑动的差异以及位错对这两种滑动协调能力差异的反映。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。