不等式

In this paper, we show that when the data matrices are $2\times 2$ and $3\times 3$-dimensional, we can transfer the problem into an optimization problem with quadratic matrix inequality constraints, based on another equivalent robust optimization problem converted from the original one.

本文表明，当数据矩阵为2乘2阶，3乘3阶矩阵时，我们可以把上述问题转化成二次矩阵不等式约束的最优化问题。

In the model, the non-sensitive loss function was replaced by quadratic loss function and the inequality constraints were replaced by equality constraints.

在该模型中，用二次损失函数取代支持向量机中的不敏感损失函数，将不等式约束条件变为等式约束，从而将二次规划问题转换为线性方程组的求解，并提出对核函数的盯参数进行动态选取。

The non-sensitive loss function is replaced by quadratic loss function and the inequality constraints are replaced by equality constraints. Consequently, quadratic programming problem is simplified as the problem of solving linear equation groups.

用二次损失函数取代支持向量机中的不敏感损失函数，将不等式约束条件变为等式约束，从而将二次规划问题转变为线性方程组的求解。

The notion of sample relative entropy , as a random measure of the deviation of a sequence of nonnegative continuous random sequence from independent random sequence with exponential distribution, is introduced.

利用样本相对熵作为一般非负连续型随机变量序列相对于服从指数分布的独立但不同分布随机变量序列偏差的一种随机性度量，运用鞅理论及分析方法，研究了一类随机变量序列加权和的用不等式表示的极限定理，即强偏差定

Based on the HJI inequality in Robust faults detection theory, the recursion formula was deduced.

在此基础上，使用鲁棒检测理论中的HJI不等式对运行故障进行了理论分析和推导，得出了用于进行故障检测的递推公式。

This article summarizes the advantages of direct optimized law in working out inequality constraints, and proposes the way to carry on the simulation with the regular polyhedron law to the standard unitary flood noose curve.

简述了直接优化法求解不等式约束问题的优越性，提出了用正多面体法对标准单式洪水绳套曲线进行模拟的思路及程序求解方法，分析了正多面体法模拟标准单式洪水绳套曲线的可行性，为进一步利用水位推求流量创造了条件。

By utilizing Schur complement formula and the related notion of LMI, a series of sufficient conditions are presented, which guarantee the robustly globally uniformlyasymptotic stability of the closed-loop switched system.

利用Schur补公式和线性矩阵不等式的相关概念，给出了闭环切换系统鲁棒全局一致渐近稳定的一系列充分条件。

Based on the generalized-graph-convergence theory, by using the resolvent operator technique about-monotone mappings, we suggest a new perturbed iterative algorithm to compute approximate solutions of this class of variational inequality.

依据广义图像收敛理论，并应用关于h，η-单调算子的预解算子技巧，作者提出了一种新的扰动迭代算法来解这类变分不等式。

The research is carried on from four aspects. One is, based on answering the above open problem on a finite dimensional Euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable-parameter three-step iterative algorithms for generalized set-valued variational inclusion problems by using - resolvent operator of set-valued mapping.Two is to consider the convexity, closedness and boundedness of the solution set of general set-valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. Three is to discuss directly the existence of solutions by using analytical methods for set-valued mixed quasi-variational-like inequalities and suggest a class of direct variable-parameter three-stepiterative algorithms for solving generalized set-valued variational inclusions.

研究分有三个方面：一是借助于偏序理论在有限维欧氏空间中解决了上述公开问题，在此基础上利用集值映射的η-预解算子，研究了广义集值变分包含问题解的存在性、逼近解的全局误差界、参数唯一解的灵敏性，并提出了一类变参数三步迭代算法；二是借助于图收敛理论研究了一般集值变分包含问题解集的凸性、闭性和有界性以及参数解集的灵敏性；三是用分析的方法直接讨论了集值混合拟类变分不等式问题解的存在性并提出了一类求解广义集值变分包含问题的直接变参数三步迭代算法。

An iterative algorithm for a class of set- value d mixed variational inequalities is presented by means of resolvent operators of set- value d mappings, and the convergence of the iterative algorithm is discussed.

摘要利用集值映射的预解算子，提出了求解一类集值混合变分不等式问题的迭代算法，并讨论了该算法的收敛性，推广了已有文献的结果。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。