查询词典 inequalities

In this paper,we introduce the concepts of efficient solution for vector variational inequalities and f-quasimonotone operator,and give an existence theorem for vector variational inequalities in Banach spases.

引进了向量变分不等式有效解以及f－拟单调算子的概念，并给出了Banach空间中拟单调向量变分不等式的有效解的存在性定理

In chapter 3, we establish some partial differential inequalities on bounded starlike circlar domains and the unit ball of Banach norm in C〓. Then by using these inequalities, we can get two sufficient conditions for almost starlike mappings of order α.

第三章通过在C〓中的有界星形圆形域和复Banach范数之下的单位球上建立一些微分不等式，给出了α次的殆星映射的两个充分判别条件。

Therefore, it's natural to estimate those values of operators such as 〓, log mf and so on in order to investigate the weighted inequalities for the minimal operator We discuss them under two conditions respectively: In one-weight case, we establish the relative weighted inequalities under the condition of A〓-weight and A〓-weight respectively, and the equivalent condition has been found between the strong -type weighted inequality and the property of W〓-weight; while in the case of two-weight condition, we characterize the equivalent relations between the weak type weighted inequality and the property of W〓-weight, the strong -type weighted inequality and the property of W〓-weight.

我们分两种情况分别加以讨论：单权情况下，我们分别刻画了A∞权和A〓权条件下关于〓，log mf等的强型加权不等式，并证明了关于鞅的极小算子的强型加权不等式与对应的W〓权性质之间的某些等价关系；在双权情况下，我们刻画了关于极小算子的弱型加权不等式与W〓权以及强型加权不等式与W〓权之间的等价关系。

One of the most important extension is system of variational inequalities. In Chapter 5, we consider a system of generalized variational-like inequalities problems.

近年来，变分不等式已经开始向各个方向推广，出现了诸如广义变分不等式，混合变分不等式，广义似变分不等式等。

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。

The research of the triangle geometric inequality has obtained very rich of the outcomes. This paper studies mainly some new linear triangle geometric inequalities, focusing on the linear geometric inequalities which are known, and it also includes some conjectures of the author.

三角形中的几何不等式研究已取得了非常丰富的成果，本文主要围绕已知的线性几何不等式进行研究，给出三角形中一些新的线性几何不等式，并包含了作者的某些猜想。

Next,similar to the studies of Friedland-Hersonsky inequalities in norm form and Martininequalities for discrete groups of 〓,we establish 〓 type inequalitiesfor subgroups of unitary transformation group U(1,n,C)in complex hyperbolicspace 〓 and we also give several 〓 type inequalities in the form of fgfg〓for the norm algebra 〓 in C.

其次，我们对复双曲空间〓上的酉变换群U(1，n，C)的子群建立了〓型不等式，推广了Martin的相应结果。最后，我们对复数域C上的范数代数〓建立了形如〓的〓型不等式，推广了Friedland-Hersonsky不等式。

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

For example, classic Doob s inequality, good A inequalities and Burkholder-Davis-Gundy inequalities and so on, are very important results in martingale theory and the basis of discussion of the general martingale spaces.

如古典的Doob不等式，good λ不等式，Burkholder-Davis-Gundy不等式等，都是鞅论中的重要结果，也是讨论一般鞅空间的基础。

Aiming at this problem, firstly, calculation formulae of utilization adhesion coefficient after installment of retarder were detailedly deduced. Then braking force distribution ratio , braking intensity and vehicle full-load parameters were taken as variables and inequalities which are about of retarder braking force , braking force distribution ratio , braking intensity and vehicle full-load parameters were established based on the ECE Law. The range of corresponding to any , as well as the most optimal matching between them, were obtained by solving these inequalities.

为此，论文在推导了安装缓速器后前、后轴利用附着系数、的计算公式基础上，基于ECE法规要求，以制动力分配比、制动强度及车辆满载参数为变量，建立了缓速器制动力关于车辆制动力分配比、制动强度和满载参数之间的多元不等式组，通过求解多元不等式组获得缓速器制动力与制动力分配比之间的取值关系，并从中得到二者之间的最优匹配。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。