查询词典 problem

We used column generation to solve the Network Coding based traffic programming problem. First, we relaxed the constraints of the problem by using Lagrange Relaxation, then defined the physical meaning of each relaxation variable.

运用column generation算法对网络编码业务进行规划，为松弛系数赋予具体的物理含义，并据此进行路径更新，有针对性地为每个业务寻找路由。

While the new components having the same numbers with these original physical vectors are introduced and the new components are combined with those original physical components to form a new symplectic space, the ray problem of wave propagation in geometrical optics is converted into the problem of Lagrange submanifold in the symplectic space.

本论文的工作作为国家自然科学基金地震波传播与成像项目（NO.40174032）的一部分，得到如下结果：论文分析了利用Maslov方法求解非均匀介质中波动方程高频近似解的基本原理和求解过程，构造了介质系数只在一个方向变化时波动方程高频近似解的通用计算公式。

The PetrovGalerkin formulation is applied to solve the genera lized Stokes problem in each subdomain, and the Lagrange multiplier problem on the interfaces is solved using an algorithm of conjugated gradient. Velocity, density and Lagrange multiplier are approached in the spaces of continue piecewise linear functions.

应用PetrovGalerkin方法解每个子域上的广义Stokes问题，而交界面上的Lagrange乘子则通过共轭梯度法迭代求解，各变量均由线性函数离散。

In this paper, we start with a new formulation which is proposed based on the K-SVCR method. We then transform it as a complementarity problem and further a strongly convex unconstrained optimization problem by using the implicit Lagrangian function.

在本文中，我们首先在K-SVCR方法的基础上提出了新的模型，然后把新模型转化成一个互补问题，并利用Lagrangian隐函数进一步转化成一个强凸的无约束优化问题。

Therefore, from the theoretical point of view, a solution of the constrained problem and the corresponding values of the Lagrange multipliers can be found not only by the well known method of multipliers but also by performing a single unconstrained minimization of the Hestenes-Powell augmented Lagrangian function on the product space of problem variables and multipliers.

因此，从理论的观点来看，原约束问题的解和对应的拉格朗日乘子值不仅可以用众所周知的乘子法求得，而且可以通过对Hestenes-Powell增广拉格朗日函数在原问题变量和乘子变量的积空间上执行一个单一的无约束极小化来获得。

Under suitable hypotheses,the relationship was established between the local unconstrained minimizers of the augmented Lagrangian function on the space of problem variables and the local minimizers of the original constrained problem.

在适当的假设下，给出了原约束问题的局部极小点与增广Lagrange函数，在原问题变量空间上的无约束局部极小点之间的对应关系。

In order to solve the nonlinear problem of lampers, a pure-shear magneto-rtheological damper was designed. In view of its non-linear characteristics, it was proposed to make use of the radial basis function neural networks non-linear mapping capabilities and establish MR dampers inverse model to solve its problem of non-linear.

为了解决阻尼器的非线性问题，设计了一种纯剪切型磁流变阻尼器，并针对其非线性特性，提出了利用径向基函数神经网络的非线性映射能力，以建立磁流变阻尼器的逆模型。

Furthermore, the problem of coupled piezothermoelastic response of a piezoelectric cylinder of crystal class 6mm is investigated. Analytical solutions for this problem are successfully obtained by using Bessel-Fourier series expansion and Laplace transform. These solutions are helpful for study of the influence of coupling on the distribution of stresses, displacements, electric potential and other quantities as well as the role of inertia term.

研究了热电材料圆柱的瞬态压电热弹性响应问题，应用Bessel-Fourier级数展开和拉氏变换方法成功地求得了该问题的解析解，此解有助于研究瞬态响应问题中耦合效应对应力、位移和电势等物理量分布的影响以及惯性项的作用等问题。

In Chapter Ⅳ, the reliability of the scheme presented in this paper is proved by numerical experiments for solutions of shock tube flow problem and Laval nozzle flow problem. The treatment of boundary conditions is also described.

第四章通过对一维激波管、Laval管的数值计算验证了本文所采用的格式的可靠性，同时给出了边界条件的处理方法，并讨论了对应不同精度参数的TVD格式对计算结果的影响。

Byusing several technologies including linearization method, penalty function, virtual observation equation and equivalent weights method, the robust data reconciliation problem can be transformed into a least squares estimator problem.

通过使用线性化方法、罚函数法、虚拟测量方程和等价权法，鲁棒数据校正问题被转化为最小二乘估计问题。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷