查询词典 set of inequalities

A mathematics model of comprehensive security control is formed by taking the total cost of control actions as the objective function and taking inequalities of hyperplanes as transient stability restrictions, and a optimization strategy called "the active restriction relaxation approach" is proposed which can classifies the contingency sets into two subsets.

以综合控制总成本为目标函数，以超平面形式的不等式为暂态稳定约束，该方法把安全性综合控制问题归结成了一个最优化问题。

Some nonexistence results for p-degenerate sub-elliptic first order evolution inequalities associated with the generalized Baouendi-Grushin vector fields are given. The method is an improvement of the admissible function method in Euclidean space. The proof hardly depends on the properties of the generalized Baouendi-Grushin vector fields.

通过改进欧氏的容许函数法，应用广义Baouendi-Grushin向量场的一些性质，选取特殊的容许函数，利用Hlder不等式和Young不等式，证明了由广义Baouendi-Grushin向量场构成的p-退化次椭圆一阶发展不等方程，在适当条件下非平凡弱解的不存在性。

The notion of affine quadratic stability is proposed for uncertain delayed systems. Based on such a notion, methods of robust stability and robust H〓 performance analysis for uncertain linear delayed systems with affine parameter uncertainty are developed by using linear matrix inequalities.

本章提出了不确定时滞系统仿射二次稳定的概念，对于具有仿射参数不确定性的线性时滞系统，基于仿射二次稳定概念，利用线性矩阵不等式给出了鲁棒稳定性和鲁棒H〓性能分析方法。

In Brunn-Minkowski-Firey theory, we establish two extremum properties of the new ellipsoid; Then we generalize Petty\'s affine projection inequality and monotonicity results related to affine surface area to L_p—affine surface area; We establish the Brunn-Minkowski type inequalities for the volume of the L_p centroid body and its polar body with respect to the normalized L_p radial addition. At last, we introduce the minimal L_p—mean width of a convex body and generalize the minimal mean width to the Brunn-Minkowski-Firey theory.

在L_p-Brunn-Minkowski理论中，我们首先给出了两个关于新椭球的极值性质；然后研究了L_p仿射表面积，将Petty仿射投影不等式和Winterniz单调性问题推广到L_p仿射表面积；建立了L_p质心体和其极体的Brunn-Minkowski型不等式；研究了凸体的最小L_p平均宽度，给(来源：3bABbeC论文网www.abclunwen.com)出凸体K具有最小L_p平均宽度的充分必要条件，最后给出了凸体L_p平均宽度位置的稳定性。

In chapter four, by the concept of negative definite of symmetry interval matrix, methods of analysis of interval matrix and the method of Lyapunov function, the robust absolute stability of Lurie control system with multiple nonlinearities was investigated, and some algebraic sufficient conditions in the form of inequalities of interval matrix were obtained.

在第四章，通过定义对称区间矩阵负定的概念，主要用区间矩阵分析技术和Lyapunov函数方法，研究了具多非线性的区间Lurie控制系统的鲁棒绝对稳定性，我们给出了此类区间Lurie系统鲁棒绝对稳定性的区间矩阵不等式形式的代数充分条件。

In this thesis, we discuss some algorithms for giving the zeros of maximal monotone operator in a Hilbert space and the alternating direction method for the variational inequalities.

本论文主要讨论了求解Hilbert空间上极大单调算子的零点的数值算法以及有限维空间上的变分不等式的交替方向方法。

To one kind of variational inequalities, some researchers give an alternating direction method, which solve a linear variational inequality and a system of nonlinear equations in each iteration.

针对一类变分不等式，有研究者给出了一种交替方向法，在每一步迭代中分别要求解一个线性变分不等式和一个非线性方程。

To variational inequalities with separate structures, the thesis presents a descend method based on the alternating directions method, and some numerical results demonstrate that the new method is effective in practice.

对于结构可分的变分不等式，本文在交替方向法的基础上提出了一种下降方法，并给出了相应的算法收敛性证明与数值试验结果。

From Man and Superman to Androcles and the Lion, Shaw 5skewered the sensibilities of the time with a 6penetrating view of social inequalities and a finely honed satiric eye.

从《人与超人》到《安德鲁克里斯与狮子》，萧伯纳以敏锐的眼光洞悉社会各种不平等现象，针砭时弊。

She was oppressed by an abiding sense for the asperities and inequalities of society.

她深受压抑，长期因社会的冷酷和不公深受困扰。

Terry Norris of the Georgia Sheriffs' Association cites a man who was convicted of statutory rape two decades ago for having consensual sex with his high-school sweetheart, to whom he is now married.

来自佐治亚州治安联盟（the Georgia Sheriffs' Association）的Terry Norris举了个例子，一名男子因20年前与其高中女友发生了性关系而被处以强奸罪。

Orders and for local governments to carry out a land bank on a special insurance policy.

11命令和地方政府进行了土地储备的一个特殊的保险政策。