查询词典 variational problem

The problem solution is a basic human learning activity, and students＇ process of problem solution is a major approach to obtain knowledge.

问题解决是人类的一种基本学习活动，学生的问题解决过程是学生获取知识的主要途径。

How a problem comes to be interpreted as a public problem

一个问题是如何被解释为公共问题的？

Old-age issue is not a social problem that have been besetting many countries , but also the problem that building a harmonious society in China need to resolve.

养老问题一直是困扰许多国家的一个社会性的难题，也是我国构建和谐社会需要的解决的问题。

Cross Entropy method has recently been proposed as a heuristic method.It shows some simple performance in the process of solving combinatorial optimization problems.This paper makes full use of Cross Entropy method to obtain the best estimator for the max-cut problem which is a standard NP-hard problem in graph graphic theory.

交叉熵方法是近几年发展而来的一种启发式方法，在求解组合优化问题中显示出其简单有效的特点，将运用交叉熵方法寻求图论中一个典型的NP困难问题—最大割问题的最优解。

It has been proved to be able to deduce neural network, and is used to solve xor-classfication problem bi- spire problem which are classic difficulty problems in artificial intelligence field.

在数学上已经证明它可以推导出人工神经元，用它可以解决异或分类问题，双螺旋问题等人工智能问题中的经典难题，它在核事故决策支持系统和高考招生系统中已经得到实际的应用。

We deal with the biharmonic equation and proved that under our assumptions, the week solution of the natural boundary value problem strongly converges (in H~2) to that of the first boundary value problem.

为克服这一困难，我们用具自然边界条件的边值问题(在二阶椭圆型方程情形为第三边值问题)去逼近相应的第一边值问题，并以重调和方程为例，证明了在一定条件下，其具自然边界条件的边值问题的弱解在H~2的意义下强收敛到相应的第一边值问题的弱解。

In this paper we study the method of interpolation by radial basis functions in H~k(k ≥ 1) and give some error estimates. By means of such interpolation with a special kind of radial basis function, we construct a basis in H~k(k ≥ 1). Combined with the Galerkin method, this theory can be applied to solve boundary value problems for elliptic partial differential equations (such as the third boundary value problem for Poisson equation and the corresponding problem for the biharmonic equation), and some numerical experiments are also given.

本文从求解偏微分方程的角度出发，在被逼近函数u属于一般的Sobolev空间H~k(k≥1)的情形，引入了一种径向基函数插值方法，并建立了相应的误差估计；再利用这种插值性质，从一类特殊径向基函数出发构造Sobolev空间的一组基，针对Poisson方程第三类边值问题和重调和方程类似边值问题，为用无网格算法求解偏微分方程边值问题建立了相应的理论，并通过算例来验证了这一算法。

This paper mainly researches the Clamped Plate problem(or the eigenvalue problem of Dirichlete biharmonic operator) on n-dimensional complex ball,and we obtain an inequality for biharmonic operator on n-dimensional complex ball.

主要对n-维单位复球Bn的Clamped Plate问题(或Dirichlete重调和算子的特征值问题)进行了研究，得到了复球上重调和算子的特征值不等式

The bilinear programming is converted into a max-min problem on the principle of duality, and a linear approximation algorithm for the max-min problem is presented, which proves to be convergent in finite steps.

利用对偶原理，将双线性规划问题转化为极大极小问题，研究了该极大极小问题的线性逼近算法，并证明了该算法在有限步内收敛。

The bilinear programming is converted into a max min problem on the principle of dual ity, and a linear approximation algorithm for the max min problem is presented, which proves to be convergent in finite steps.

利用对偶原理，将双线性规划问题转化为极大极小问题，研究了该极大极小问题的线性逼近算法，并证明了该算法在有限步内收敛。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。