不等式

This paper gives another proof for Jordan inequality by uniform continuity and monotonicity of the function, which enriches the results obtained before.

该文利用函数的一致连续性及单调性，给出Jordan不等式的又一证明，丰富了已有的一些结果，同时给出它的应用。

The main aim of this thesis is to extend some results of classical convex analysis to notions of Carnot groups, which contain the inequalities of Hadamard type, the Lipschitz continuity, the comparison principle and the second order derivatives for convex functions on Carnot groups G and regularity of quasiconvex functions on G.

本文的主要目的是推广欧氏空间凸分析中的一些结果到Carnot群上凸分析的情形，其中包括Carnot群上凸函数的Hadamard型不等式、Lipschitz连续性、比较原理、二阶可微性及拟凸函数的正则性问题。

A sufficient condition is obtained to ensure the existence and uniqueness of almost periodic solution for MAM neural network with time-varying delays by way of exponential dichotomy and contraction map theorem. Moreover, the global exponential stability of the almost periodic solution for this type of MAM neural network is proved by using Halanay inequality.

利用指数二分法结合运用压缩映射原理获得了变时滞多向联想记忆神经网络模型概周期解的唯一存在性，利用Halanay不等式证明了变时滞多向联想记忆神经网络概周期解的全局指数稳定性。

HJB equation; quasivariational inequality; domain decomposition; convergence; iterative algorithm; relaxation algorithm; existence; multigrid method

基础科学，数学，数学分析HJB方程；拟变分不等式；区域分解；收敛性；迭代法；松弛算法；存在性；多重网格法

Properties of measurable functions; approximation by simple functions and by continuous functions; convergence in measure; Egoroff's theorem; Lusin's theorem; Jensen's inequality.

可测函数。可测函数的性质；简单和连续函数逼近；测度收敛；叶果洛夫定理；鲁津定理；詹森不等式

For solving problem (1), this dissertation first presents a sufficient and necessary condition by dealing with inequalities using projection operator in convex analysis, and then proposes a kind of new neural network model based on the constraint domain:〓(2) Where P is a projection operator on Q.

本文利用凸分析中的投影算子处理不等式约束，首先给出二次规划问题(1)解存在的充分和必要条件，据于此提出一种新的基于约束区域神经网络模型〓(2)来进行求解，其中P为Q上的投影算子。

At the beginning the first part, we simplify the process of the generalization of the inequality (2)[2] The simplification mainly uses the logic analysis and convex function to substitute the original intricately computing.

在第一部分开始，我们简化了文[2]中关于不等式(2)的推广的证明，主要运用了逻辑分析与凸函数这一分析工具，取代了文[2]中繁琐的计算证明。

This fact suggests the following stability problem: If for some convex body the given inequality is satisfied so that it is not very different from an equality what can be said about the deviation of the body from these objects?

如果某个凸体使得它所满足的不等式与等号成立相差很小时，这个凸体与使得等号成立的特殊的凸体有多大偏差？

Based on LMI method and convex combination technique, the problem of robust stabilization for a class of uncertain switched systems with nonlinear disturbance is studied.

基于线性矩阵不等式方法和凸组合技术，研究一类带有非线性扰动的不确定切换系统的鲁棒镇定问题。

Convex function plays an important role especilly in aspect of dipicting the function graphics and of deducing the inequality.

特别是在函数图形的描绘和不等式的推导方面，凸函数起着十分重要的作用。

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。