不等式

Virtual Manufacturing ; Principle of symmetry ; Inequation of Schwarz

虚拟制造；对称性原理； Schwarz不等式

The error estimation inequation of Wachspress interpolation indicates that the error of Wachspress interpolation decreases with the reduction of polygonal element size.

利用wachspress插值形函数的性质和二元函数的Taylor展开式的向量形式，给出了wachspress插值的误差估计不等式。

The mathematic model of optimization allocation of tolerance values is established. In the model, the objective function of the optimization is production cost-tolerance function, and the constraints of the optimization are equation and inequation in the fifth chapter.

以加工成本—公差函数为目标函数，以第五章的等式和不等式约束为约束条件，建立了公差大小最优分配的数学模型；基于遗传算法研究了形位公差大小的最优分配方法。

Making use of states transformation, states feedback and the disturbance redefinition, this paper defines linear systems sliding mode disturbance attenuation problem Q 2, which can be resolved by solving Riccati inequation.

通过状态变换和状态反馈以及干扰重定义，提出了线性系统的滑模干扰抑制问题Q2。问题Q2 可以通过解Riccati不等式得以解决。

Our work on the problem of robust controller design for linear time-delay systems with nonlinear uncertain parameters are mainly concerned about thefollowing three aspects:Firstly, based on Lyapunov theory and using linear matrix inequation method, we put forward a plan to design the state feedback controller of the system with high structured uncertainty and matrix polytope structured uncertainty.

第三，在非结构不确定性假设下，基于系统的解和Bellman-Gronwall不等式，得出这类系统鲁棒稳定的充分条件。

Firstly a proper unstable linear system satisfied shilnikoc inequation is selected. Then shift transformations of the linear system are implemented and the phase space is divided into several parts by a series of cross-plane. Finally the needed multi-scroll piecewise linear chaotic system is constructed.

首先选取满足Shilnikov不等式的不稳定线性系统，然后对该系统进行平移变换，并以相交平面为分界而对相平而进行划分，最后得到所需的多涡卷分段线性混沌系统。

The other classfies the calculation of MBPS into the solution of inequation based on heuristic knowledge of MBPS of optimal directional coordination setting in complex multiloop network and comes into equivalence of 0-1 integral second layout problem. On the basis of the principle of Gene Optimal Evolution, a new approach to determine MBPS is first presented and decreases the computational complexity of MBPS problem.

其二，利用复杂环网方向保护最优整定配合中最小断点集的启发知识，将MBPS的计算归结为解不等式，进而等价为0—1整数二次规划问题，基于基因遗传优化计算原理，首次提出了MBPS问题的基因遗传算法，降低了问题的计算复杂性。

An equivalent condition for the singular discrete linear systems to be regular, causal, stable as well as the transfer function satisfying a prescribed H-infinity norm bound is obtained by means of linear matrix inequation method.

利用线性矩阵不等式方法，导出广义离散线性系统正则、因果、稳定且传递函数满足给定的范数界的等价条件。

We give a two-parameter penalty function and its exact penalty theorem for inequation constrain- ed optimization,meanwhile,We propose a quasi Newton algorithmfor solving the unconstrained nonlinear penalty problem and study its convergence,Numerical examples illustrate the feasibility of the algorithm.

对于含约束不等式的优化问题，构造双参数精确罚函数并给出精确罚定理，提出了一个求解这种罚函数问题的布鲁丹族拟牛顿算法，研究了算法的收敛性与收敛速度，并进行了数值试验，证明了可行性。

Chapter 1 we introduce the risk process with positive and negative risk sums,show the background of the risk process. Chapter 2 we show the integral and differential equation of birth probability,give the Lundberg inequation that the ruin probability satisfies with martingale approach,then discuss then ruin probability of the risk process with two dependent positive and negative risk sums,study how the dependence impacts on the ruin probability. Chapter 3 we compare the concrete examples by numbers,and makes further comparison between the two results coming out of independency and dependency,with the purpose of narrating their respective impacts on the probability of ruin probability.

本文第一章引入含正、负风险和的风险模型，介绍风险过程的实际背景；第二章给出生存概率Φ所满足的积分-微分方程，利用典型鞅方法给出破产概率Ψ满足的Lundberg不等式，并且讨论两个相关正、负风险和模型的破产概率，研究相关性对破产概率的影响；第三章对具体实例给出数值比较，进一步把相关性和独立性两种情形的结果进行比较，说明对破产概率的影响。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。