不等式

On the basis of the definition of matrix traces , this paper discusses their characteristics at first and then according to the norm of the F of square matrix and Cauchy-Schwarz inequality gives how to prove the zero matrix, unsimilar matrix, number cloth matrix, column matrix idempotent matrix and non-equality matrix.

根据矩阵迹的定义，首先给出了矩阵迹的性质，然后依据方阵的F—范数定义Cauchy—Schwarz不等式，给出了零矩阵，不相似矩阵，数幂矩阵，列矩阵，幂等矩阵及矩阵不等式的证法。

In this paper,by the means of the properties of the differential calculous,the authors had obtained the proofs of the generalizations of the two basic inequalities;and the apply of the differential calculus in the proofs of inequalities.

本文主要介绍高等数学知识———微积分的一些基本性质在证明不等式中的应用，利用微分法证明了中学最重要的两个基本不等式的推广形式和一道奥赛

Linear Diophantine equations and inequations appear often in modeling and practical application, which play an important role in the transportation.

而线性丢番图方程组及不等式组的求解是实际应用中经常遇到的一类问题，在物流、运输中起着重要的作用，于是对线性丢番图方程组及不等式组的求解就显得尤为必要。

The robust dissipativity for given supply rate has been studied for uncertain impulsive systems. The dissipativity conditions for such systems are derived by means of storage function method, matrix inequality and dissipativity inequality.

对不确定脉冲动力系统在给定供给率时的鲁棒耗散性进行了研究，利用储存函数法、矩阵不等式以及耗散不等式等方法，得到了不确定脉冲系统的鲁棒耗散性的充分条件。

With the help of mildconditions,Burkholder-Davis-Gundy\'s inequality and Doob\'s inequality of tree mar-tingales are proved by the application of this method.

在合理假设下，用这种方法证明了树鞅的Burkholder-Davis-Gundy\'s不等式及Doob不等式。

Using a triangle's height and length of the angular bis ector,some segregative inequality chains of Eular Inequality are deduced.

利用三角形的高、角平分线长给出欧拉不等式R≥2r隔离的几个不等式链。

For , it can be shown that , and In chapter 2, using some well-known results, several inequalities on eigenvalues of the generalized Schur complement of BAB* where A is positive semidefinite are obtained:(1) If ,,, and l is an positive integer satisfying

第二章对形如BAB~*的矩阵乘积，介绍了几个关于其Schur补的特征值不等式，并在已有结果的基础上，利用定理1.1.1，得到了其广义Schur补特征值的诸多不等式。

Firstly, a homogeneous Harnack inequality as well as a maximum principle of nonhomogeneous subelliptic p-Laplace equations is proved by improving the classical Moser iteration method. The optimal estimate of m is also obtained through log |log| method.

首先改进经典的Moser迭代方法，证明了非齐次次椭圆p-Laplace方程的极大值原理和齐次Harnack不等式，并利用log |log|方法给出了不等式右端指数m的最佳上界估计。

It is the requirement of"space-like separation"that gives it the name of LHV. In 1964, John Bell gave out an inequality---Bell inequality, which proves that LHV is uncompatible with QM during a certain kind of experiment measurement.

正是由于&类空分隔&的要求反映了&局域性&的观点，所以被称为局域隐变量理论。1964年，Bell提出了一个不等式，给出了一个可以进行实验检验的判据：隐变量理论不会违背这一不等式，而量子力学在某些情况下会违背。

The thesis consists of three parts:The first part deals with optimal Sobolev inequalities on compact Riemannian manifolds;the second part is concerned with some variational models in image processing,and we propose variational models as well as experimental results for detection,denoising and mosaicking;the last part deals with inverse differential geometry in 3-D non-local image restoration.

本论文由三个部分组成。第一部分是流形上的非线性分析：第二部分是基于能量极小化方法的图像处理；第三部分是三维非局部图像重建及逆向微分几何。在第一部分中，我们研究了紧致流形上的最优Sobolev不等式，证明了某些不等式虽然就整体而言是不成立的，但总是局部成立的。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。