不等式

In chapter three, we first introduced the Marcinkiewicz large law and Bernstein inequality, then we gave the sufficent conditions for weak consistency, strong consistency and uniformly strong consistency of NN-estimator for NQD samples.

第三章介绍了两两NQD混合序列的概念和Marcinkiewicz弱大数定律及推广的Brenstein不等式，讨论了在NQD混合情形下最近邻密度估计的强、弱相合性及一致强相合性。

In this paper, we study characterizations of admissible in the general linear model Y, Xβ,ε|ε～(0,σ~2∑. We demonstrate that an admissible linear estimator is as the conditional generalized ridge-type estimation in the no constraint, equality constraint, inequality constraint general linear model. We study the superiority of this conditional generalized ridge-type estimation, and prove that it is superior to the restricted best linear unbiased estimator in terms of mean squares. We also give the choice of the matrix K.

本文主要研究了一般线性模型Y，Xβ，ε|ε～(0，σ~2∑中参数估计的可容许性特征，得到了一般线性模型在无约束，有等式约束及有不等式约束下，可容许线性估计均具有条件广义岭估计的形式的结论，并且讨论了这一条件广义岭估计的优良性，证明了其在均方误差和均方误差矩阵意义下都优于约束最小二乘估计，给出了参数矩阵K的选取方法。

This paper mainly researches the Clamped Plate problem(or the eigenvalue problem of Dirichlete biharmonic operator) on n-dimensional complex ball,and we obtain an inequality for biharmonic operator on n-dimensional complex ball.

主要对n-维单位复球Bn的Clamped Plate问题(或Dirichlete重调和算子的特征值问题)进行了研究，得到了复球上重调和算子的特征值不等式

But when refers to linear system of strict inequalities, the linear programming method is not proper, as its result is often the boundary point instead of the solution.

但对严格线性不等式组，线性规划方法一般得到的是的边界点而不是问题的解。

This method is based on the work of reference [1]. By using the Riesz present theory in Hilbert space, we first transform the iterative procedure of variational inequalities into a fixed point form. Then, using the Schauder fixed point theory, we construct a numerical verification method with high efficiency that through numerical computation generates a bounded, closed, convex set in which the approximate solution is included.

通过Hilbert空间中的Riesz表示定理，首先将变分不等式问题的迭代过程转化为一种不动点形式，再利用Schauder不动点定理构造了一个高效率的数值证明过程，即通过数值计算产生一个包含近似解的有界闭凸子集。

On the condition that nonlinear function are bounded. By using the linear matrix inequality, a sufficient condition of the output feedback stability about the nonlinear uncertain systems with time-delay is obtained and then the design method of its robust stability is also given in it.

在非线性不确定性满足增益有界条件下，利用线性矩阵不等式方法给出了鲁棒镇定律的存在条件及镇定律存在时相对应的控制器设计方法。

Based on an actuator failure model with continuous gain,the consistency theory and condition between regional pole index and H∞ index are given by using the bounded real lemma and linear matrix inequality,and the ranges of consistent indices are analyzed.

基于连续型执行器故障模式，利用有界实引理和线性矩阵不等式，给出了区域极点指标与H∞指标约束相容性理论及条件，并且分析了区域极点指标相容的H∞指标的取值范围。

Standard neural network model is the interconnection of a linear dynamic system and a bounded static nonlinear operator, which is depicted as a linear differential inclusion to be analyzed easily with linear matrix inequalities technique.

标准神经网络模型(SNNM-Standard Neural Network Model)由一个线性动力学系统和有界激励函数构成的静态非线性算子连接而成，被表示为线性微分包含的形式，便于利用线性矩阵不等式技术进行分析。

And we also prove the existence theorem of minimizer for the new model by means of Poincares inequality and the lower semi-continuity of bounded variation functions.

根据有界变差泛函中的Poincare不等式和下半连续性，证明了该模型极小值的存在性。

And we also prove the existence theorem of minimizer for the new model by means of Poincare's inequality and the lower semi-continuity of bounded variation functions.

根据有界变差泛函中的Poincare 不等式和下半连续性，证明了该模型极小值的存在性。

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。