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In section 6,we we prove the existence of generalized vector quasi-equilibrium problem by the generalized Fan-Browde fixed point theorem.

在第六节，通过推广Fan-Browder的不动点定理证明了一个广义向量拟均衡问题的存在性。

Through the Radon transformation of the normally ordered Wigner operator we introduce two mutually conjugate intermediate coordinate- momentum representations. Based on them we construct the appropriate quantum phase space theory which includes the new Wigner operator adapting to this space and construct the appropriate generalized Fredholm operator equation and then find its solution. We then deriving the Hermite polynomials operator identities by applying the Fredholm equation. We also reveal the connection between the generalized Wigner operator and the 2-dimension normal distribution in statistics, which is useful to study the quantum tomogram. As the application of the entanglement Husimi operator theory we calculate the Wigner function and the Husimi function of the one- and two-mode combination squeezed state , study their characters through drawing the three-dimensional graphics.

由正规序Wigner算符的拉登变换引入了两个互为共轭的中介坐标-动量表象，在此基础上我们建立了相应的量子相空间理论，其中包括引入适合该空间的新的Wigner算符；并在该表象的基础上，建立了广义Fredholm算符方程，求出了它的解，并运用该方程导出有关厄米多项式的算符公式；揭示广义Wigner算符与统计学中的随机变量的二维正态分布形式上的相似，这对于研究量子态的tomogram(是英文Tomography的派生词)有用。

This model shows the mapping relation between generalized forces and generalized coordinates.

基于以上的观点，得到了适用于少自由度并联机构的静刚度模型，该模型体现了广义力和广义坐标之间的映射。

Based on the improved local piston theory , this paper presents the matrix expression of generalized aerodynamic forces expressed by the generalized coordinates.

基于改进的当地流活塞理论，推导了用模态坐标表示的弹性振动翼面的非定常广义气动力表达式。

In the relative coordinate method, the array of the generalized coordinates of the system is formed by the relative coordinates of all rigid bodies. The principle of virtual power and Newton-Euler equations are applied to the system, and arrive at a set of second order differential equations of the generalized coordinates.

在相对坐标法中，系统的广义坐标列阵由系统中各刚体的相对坐标组成，对系统应用牛顿-欧拉方程和虚功率原理，得到系统广义坐标的二阶微分方程组。

Taking generalized coordinates for variables, the differential equations of multiple elastic particles are decomposed into the differential equations in the independent form by introducing generalized coordinates .

通过广义坐标的引入，将多质点弹性体系的运动微分方程分解成以广义坐标为变量的独立微分方程形式。

Based on homogeneous approximation, a robust control law is designed, which drives generalized coordinates of the closed loop system to the origin exponentially and generalized velocities to the origin asymptotically.

基于齐次展开的思想，给出了一种鲁棒控制器设计方法，使得闭环系统的广义位置坐标指数镇定，广义速度渐近镇定。

Besides all six degrees of freedom of ship rigid body, other inportant generalized freedom such as aircushion pressure, freedom of seals and generalized coordinates of structural vibration are also included in the model in accordance with the nature of hybrid catamaran.

分析模型中除了船舶刚体运动的六个自由度外，还包括了其它重要的广义自由度-气垫压力、围裙运动的自由度以及结构各阶振形所对应的主坐标。

In Chapter 6, based on discretization technique an implementable algorithm for nonconvex generalized semi-infinite minimax problems is presented and, utilizing properties of generalized quasi-directional derivative, its global convergence is proven under weak conditions.

对于广义极大极小问题，本文第六章在较弱的条件下，利用广义伪方向导数的性质，用离散化的技巧给出了非凸广义半无限极大极小问题的一种可实现的全局收敛算法。

Furthermor, we consider their nondiferentiable situation, we define nonsmooth univex functions for Lipschitz functions by using Clarke generalized directional derivative and study nonsmooth multiobjective fractional programming with the new convexity. We establish generalized Karush-Kuhn-Tucker necessary and sufficient optimality condition and prove weak, strong and strict converse duality theorems for nonsmooth multiobjective fractional programming problems containing univex functions.

而且，本文利用Clarke广义方向导数针对Lipschitz函数在原来一致凸函数概念的基础上定义了不可微的一致凸函数，并利用这类新凸性，我们研究了非光滑多目标分式规划，获得了广义Karush-Kuhn-Tucher最优性条件；弱对偶定理、强对偶定理和严格逆对偶定理。

Pradeep Indulkar, a senior official at the Maharashtra state Home Ministry say 101 human were killed and 287 injured.

马哈拉施特拉邦内政部高级官员Pradeep Indulkar称，有101人在冲突中丧生，287人受伤。

Mark Frei, a senior vice president of West, says 80% of West's homeagents have some college education, compared with 30% of those whowork in office-based call centers.

Frei说，该公司80%在家办公的人员都拥有本科学位，而在公司电话中心工作的人中只有30%拥有本科学位。