不等式

Then, some criteria, i.e., the sufficient conditions, for the asymptotical stability of the system in form of mean square are given by linear matrix inequality, which can easily be checked by Matlab toolbox.

然后基于线性矩阵不等式技术，给出了时滞随机分布参数系统稳定的充分条件，所得到的结果表示成线性矩阵不等式的形式，所以易于验证。

Be based on these conditions, construction gives strict linear matrix inequality , filling property proved the Schur that uses matrix next to be below the condition of linear matrix inequality, system of earning closed circuit is asymptotic stability, specific condition feedback gave out to control a law in the meantime.

基于这些条件，构造出严格的线性矩阵不等式，然后利用矩阵的Schur补性质论证了在线性矩阵不等式的条件下，所得闭环系统是渐近稳定的，同时给出了具体的状态反馈控制律。

By the Utev S.and Peligrad M.inequality of-mixing random variable sequence,we obtain the Hájeck-Rènyi inequality and three series theorem and Chung′s strong law of large numbers for-mixing random variable sequence,which extend and improve the corresponding results of Gan shixin and Wu Qunying,these resuls are consistent with that for independent random variable sequence.

不等式，得到了-混合随机变量序列的Hájeck-Rènyi不等式、三级数定理和Chung型强大数律，改进了甘师信与吴群英等人的结论，达到了与独立时一致的结果。

For the uniformly ergodic Markov processes, which is a classic framwork established by Deuschel-Stroock for studying the LDP for empirical measures, the LDP of f_n~* in the weak topology and the uniform weak*-LDP in the strong topology ||·||_1 for f_n~* are established. Furthermore, we prove that f_n~* is asymptotic optimal in the sense of Bahadur. These results are obtained for the first time in the dependent case. For this generalization from the i.i.d.

在此框架下，我们建立了f_n~*在弱拓扑下的大偏差原理以及在L~1-拓扑下对初始点一致的弱*大偏差原理，另外，我们还证明了f_n~*在Bahadur意义下是渐近最优的，这些结果在相依情形下是全新的，为了做这样本质性的推广，我们需要克服许(来源：ABC论文6d网www.abclunwen.com)多技术上的困难和应用不少特殊的工具，诸如Harnack型不等式，Cramèr型偏差不等式，一致可积算子，线性算子的扰动理论，Bishop-Phelps定理等等(它们都是首次用于处理这样的问题)。

In this paper,some characterizations of solutions for a system of vector variational inequalities are derived under the a.

该文研究了一类向量变分不等式组，在PPM条件下，对其解进行了一些刻画此外，给出了该向量变分不等式组的一个间隙函数，并在强单调条件下，证明了它是弱尖极小的。

By using the projection method, we prove the existence and uniqueness of solutions for this new system of generalized variational inequalities.

在本文中，我们首先引入了一类新的关于松弛协强制映射的广义变分不等式组，通过用度量投影的方法，我们证明了这类广义变分不等式组解的存在性和唯一性。

In this paper, some characterizations of solutions for a system of vector variational inequalities are derived under the assumption of PPM (where F and-F are both pseudomonotone). Moreover, a gap function for this system of vector variational inequalities is suggested and proved to be weak sharp minima under strong monotonicity.

该文研究了一类向量变分不等式组，在PPM条件下，对其解进行了一些刻画此外，给出了该向量变分不等式组的一个间隙函数，并在强单调条件下，证明了它是弱尖极小的。

In the first section,the existence of solution for a class of non-linear systems with three -point boundary problem is obtained by applying the differential inequality theory .

在第一部分中，我们应用微分不等式理论证明了一类非线性系统三点边值问题解的存在性；在第二部分中，运用微分不等式理论研究了一类带有转向点的拟线性奇摄动边值问题的非单调内层解；在第三部分中，利用对角化方法研究了一类向量二点或者三点边值问题解的存在性，并获得解及它的一、二阶导数的渐近估计。

A proper k total colouring of a graph G is a colouring to its vertices and edges using k colours such that no two adjacent or incident elements of G may be assigned the same colour.

利用梯度投影与罚函数相结合的技巧，将带不等式和等式约束的优化问题化成一个无约束问题，提出了初始点可任意的求解不等式、等式约束优化问题的摄动梯度投影算法；参数δk取不同的数还可以得到一类梯度投影算法，从而得出了在搜索方向和步长不精确条件下的梯度投影法，保证了在实际应用中更容易实现；在较弱条件下，证明了该算法的全局收敛性。

In this paper,we mainly give some examples to demonstrate its applications in proving inequality,solving triangle,solving the most value and solving the equation and so on.

本文就柯西不等式在证明不等式、解三角形相关问题、求最值、解方程等问题的应用方面举几个例子予以说明。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。