不等式

Thesame rank Lipschitz continuous development of single-valued mappings is proven by means of partially ordered theory on finite dimensional Euclidean spaces.

借助于冲一预解算子研究了有限维欧氏空间中的集值混合类变分不等式问题和广义集值变分包含问题的全局误差界。

Main results:(1) For the stochastic Volterra type integral equation with singular kernels,it is the first time to be investigated under non-Lipschitz conditions. The existence-uniqueness and Hlder\'s continuity are established.Here,an extended Minkowski\'s inequality plays a key role.

主要结论：(1)关于具有奇异核的随机Volterra型积分方程，我们首次在非Lipschitz条件下进行研究，得到解的存在唯一性和Hlder连续性(此处证明的一个关键步骤应用了推广的Minkowski不等式)。

The uniqueness of solution of field point, inside a convex region due to singular source with kernel function decreasing with distance increasing, outside-region-distribution such that the boundary condition expressed by the response of the source is satisfied, is proved by using the condition of kernel function decreasing with distance increasing and an integral inequality.

应用奇源解的核函数沿距离递减的条件和积分不等式，可证这类奇源在凸域外分布只要满足以它产生的响应来表达的边界条件时，所引起相应的域内场点解是唯一的。

Singular system;Linear matrix inequality;Synchronization;Delayed coupling

奇异系统；线性矩阵不等式；同步；耦合延迟

In the fourth chapter,we discuss theapplication of the atomic decomposition theory to the vector-valued harmonicanalysis.We give the Hardy inequalities in the vector-valued martingale space,we also study the Mikhlin multiplier operator and singular integral operator in thevector-valued Hardy space.

第四章我们主要研究原子分解理论在向量值调和分析中的应用，建立了向量值鞅空间上的Hardy不等式，向量值Hardy空间上的Mikhlin乘子算子及一类奇异积分算子的有界性。

The purpose of introducing the singular model transformation is to improve the results on bounds of the inner product of two vectors.

关於引用奇异模型转换技巧之目的，可减少二次不等式项目。

By means of singular model transformation technique, special Lyapunov-Krasovskii functional approach, similar Leibniz-Newton formula and linear matrix inequality concept, some new stability conditions are derived for above systems.

应用奇异模型转换技巧、特殊型Lyapunov-Krasovskii泛函数方法、相似型Leibniz-Newton公式、线性矩阵不等式观念针对上述类神经网路系统，提出新稳定测试准则。

By introducing a slack variable, the stabilization problem of discrete T-S fuzzy systems is converted into an LMI feasibility problem, and an LMI based design method for output feedback H(subscript ∞) controller is presented.

通过引入松弛变量，将离散T-S模糊系统的输出反馈镇定问题归结为求解一组线性矩阵不等式，进而给出基于LMI的输出反馈H控制器的设计方法。

Within the optimization of systematic level of cooperated optimization, the slack variable is introduced to let the restraint of consistency equality be transformed to the restraint of non-equality. The value adoption of slack variable will affect the convergence speed in the optimization of systematic level.

在协同优化的系统级优化中，引入松弛变量，将一致性等式约束转化为不等式约束，松弛变量的取值影响系统级优化的收敛速度。

Using Lyapunov and LMI methods, robust control and robust filtering problems of 2-D Roesser model with polytopic uncertainties have been solved. The slack variable technique was used in the results to reduce the conservation.

本文采用线性矩阵不等式、矩阵分析等工具，通过lyapunov方法，解决了具有多胞型不确定性的2-D Roesser模型的鲁棒控制、鲁棒滤波问题，并且在结果中运用松弛变量技术，使得解的保守性降低。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。