查询词典 variational problem

On the condition of electric-longitudinal-optical phonon strong coupling in both two- and three-dimensional parabolic quantum dots, we obtain the eigenenergies of the ground state and the first excited state, the eigenfunctions of the GS and the first ES by using a variational method of Pekar type.

在电子-体纵光学声子强耦合情况下，我们采用Pekar类型的变分方法获得了二维和三维抛物势限制的量子点中的电子的基态和第一激发态的本征能量和本征波函数。

For the vehicle enterprise, this is even more.The enterprise will make a quick reaction for the variational market environment and before the everchanging request of the client.

而对车辆销售企业不仅要面对不断变化的市场环境做出快速的反应，而且还要满足客户需求的不断变化。

By Ricceri's three critical points theorem, the existence of solutions for a class of quasilinear elliptic systems with variational structure was proved and the location of the solutions was also determined.

通过运用Ricceri的一个三临界点定理，讨论了一类具变分结构的拟线性椭圆方程组，获得了多解的存在性，并且给出了解的位置。

The eudemon of tree of thousands of years has no power to sustain the life force of the whole enchanted forest. So the green place turned into desolation and the local water became dead lake in this forest. There were variational creatures everywhere or residents whose minds have been affected.

被剥离了力量的千年树精灵无力支撑整个梦幻森林的生机力量，于是这片森林里，青葱的地方变得荒芜，流水的地方变为死潭，到处充斥着变异的生物或是受到心智影响的居民，而且，一路上会经常出现被百合用药物致使失控的恐龙。

This study uses the Weather Research and Forecasting model and its variational data assimilation system to examine the impact of dropsonde and QuikSCAT data on numerical simulations. Three cases, including Typhoon Bilis (2006), Typhoon Kaemi (2006), and a Mei-yu rainfall event, are tested. These cases are chosen because there were special data collections of dropsonde observations.

本文使用WRF模式三维变分同化方法，针对2006年碧利斯台风、凯米台风及6月中旬梅雨锋面三个个案，将投落送资料、QuikSCAT风场资料及传统观测资料同化於WRF中尺度模式中，藉以了解同化投落送与QuikSCAT资料对模式初始场及后续数值模拟的影响，并透过敏感度实验来进行影响探讨。

Several combining with middle school mathematics teaching Abstract: combining the number is the number of more abstract corresponding relation and the geometrical graph, combine to solve the problem of abstract concepts to materialize and intuitive, intuitive, abstraction, and systematic problem to reduce the difficulty of the problem, and to help students thinking transformation and training students' ability.

数形结合与中学数学教学摘要：数形结合就是把较为抽象的数量关系和与其对应的几何图形相互结合起来解决问题，使抽象的概念直观化、具体化，使直观的问题系统化、抽象化，从而达到降低难题的难度、帮助学生思维转换、培养学生能力的作用。

Finally by constructing an auxiliary problem, using addition theorem and applying an iterative process based on results obtained for the linear problem, the existence and uniqueness of the weak generalized solution of the nonlinear problem is proved.

解决了线性问题后，本文构造了辅助问题，利用迭加原理，并基于线性问题的主要结论运用迭代过程，最终证明非线性问题存在唯一广义弱解。

As for mixed problem with integral boundary conditions for a certain nonlinear pseudo-parabolic partial equation, the existence and uniqueness of a strong solution to the corresponding linear problem is established and so the nonlinear problem can be solved by using addition theorem.

对于一类非线性伪抛物型方程的带积分边值条件的混合问题，本文通过相应的线性方程利用迭加原理来解决。

Basing on the Graf′s addition theorem, two expessions, interior and exterior expression, are deduced and the suitable problems for them are discussed. It has been found that the interior expression is the main point for sovling the scattering problem of circular inclusion in half-space. It also has been found that the exterior expression is the key for the scattering problem of circular arc canyon and circular arc alluvial valley, and is one of the main points for scattering problem of circular arc hill as well.

从Graf原有加法公式出发，本文给出了其内域型和外域型两种表达形式并讨论了这两种表达的适用范围，同时指出：内域型表达是求解半空间内含夹塞区出平面散射问题的要点，而外域型表达是解决任意圆弧型凹陷地形和任意圆弧型沉积盆地出平面散射问题中求解难点的关键，同时也是克服任意圆弧型凸起地形出平面散射问题求解困难的要点之一。

First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按"序"最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。