查询词典 strict inequality

This article will write divides into several kinds, the centralism typical sample question, carries on the induction to the Lagrange theorem of mean in the application which the inequality proved to summarize, hoped that the reader can better grasp the Lagrange theorem of mean in the inequality application skill.

本文将题型分成几类，集中典型例题，对拉格朗日中值定理在不等式证明的应用中进行归纳总结，希望读者能够更好的掌握拉格朗日中值定理在不等式中的应用技巧。

Also we try to establish the -type weighted inequality for the minimal operator, but unlike the maximal operator, the inequality holds trivially.

我们还给出极小算子的混合加权模不等式，即型不等式，但结论是平凡的，这与极大算子的情况完全不同。

A discrete weighted Hardy inequality is studied, and by proving a refinement lemma, the characterization of the weight sequence ｛ω_｝_(n≥1) in order that the weighted l~-Hardy inequality holds for all nonnegative and nonincreasing sequence c_ is given.

本文研究离散的加权Hardy不等式，通过建立权序列的加细引理，给出了对任何非负非增数列 lp-加权Hardy不等式成立时权序列{ωn}n≥1的特征刻划。

Firstly, the eigenvalue problem of a class of second order elliptic equation with critical potential and indefinite weights is considered. Then, using critical point theory, Trudinger-Moser inequality and the properties of the first eigenvalue, we prove the existence of a nontrivial solution for a class of nonlinear elliptic with critical potentialand indefinite weights in R~2. Secondly, we prove the existence of nontrivial solutions for a class of subcritical and critical elliptic systems with indefinite part in R~2 byusing a generalized linking theorem, Trudinger-Moser inequality and concentration-compactness principle.5. The existence of at least three weak solutions for discrete boundary value problem is established by using a three critical point theorem introduced by Ricceri.

首先，讨论了R~2中一类带不定权且含临界位势的二阶椭圆型方程的特征值问题，并借此特征值问题的第一特征值性质，利用山路引理及Trudinger-Moser不等式，证明了R~2中一类带不定权且含临界位势的非线性椭圆型方程非平凡解的存在性；其次，利用广义环绕定理，Trudinger-Moser不等式及集中列紧原理，得到了R~2上一类具有强不定部分的半线性椭圆型方程组在非线性项分别为次临界增长和临界增长情形下非平凡解的存在性。

Here, we will try our best to use the unit-speed outward normal flow to prove this result, and therefore to strengthen Gage's inequality as a more "" isoperimetric-type"" inequality. It will be the main task of the first part of the present thesis.

这是本文第一部分的主要任务，在这里我们还利用Minkowski支撑函数将Gage不等式叙述成一个积分不等式，这可以视为Gage不等式的分析形式。

We analyze the reason of the persistency of social stratification and the effect of inequality of educational quality on income inequality.

本文在人力资本理论和社会分层理论的基础上，建立个体从最大化个人效用出发，考虑地域间房屋租金和子女教育质量的差异，选择居住地的OGM模型。

Thus, pretax income inequality will be artificially high and the reduction in inequality also exaggerated.

因此，付税之前收入不平等将人为地是上流和对也被夸大的不平等的减少。

The solvability of quadratic matrix inequalities of singular H∞ control problems with infinite zeros is studied in this paper. It is proved that the quadratic matrix inequality can be solved directly via the generalized eigenvalue problems. The previous method of solving the quadratic matrix inequality involving complicated decompositions and transformations of the systems is avoided.

摘要研究具有无穷远零点的奇异H∞控制问题的二次矩阵不等式的可解性，证明了通过求解广义特征值问题，可以直接求得二次矩阵不等式的解，从而简化了原需通过复杂的系统分解和变换来求解二次矩阵不等式的方法。

The effect of inequality on investment overweighs its effect on education, so inequality has a strong indirect effect on growth instantaneously. The effect turns positive and then weakly negative.

3收入差距对于投资的影响超过了对于教育的影响，因此收入差距对于经济增长的间接影响在即期也是非常强的负，之后变为正，再逐渐下降至微弱的负影响。

In the first part, we will first deal with the strong Bonnesen-style inequality (2.1.3) for closed convex curves in the plane (the numbers of formulae and references are those of them in the context below). Bonnesen had first proved the weaker inequality (2.1.2) in [12] and several years later, he outlined in his monograph [13] various Bonnesen-style inequalities including (2.1.3), he considered, however,(2.1.3) as a direct consequence of Kritikos\' theorem for convex bodies in higher dimensional Euclidean spaces,.

具体地讲，在第一部分中，首先讨论平面上闭凸曲线的强Bonnesen型不等式(2.1.3)(公式的编号和参考文献的编号引自后面的正文)，Bonnesen在文[12]中先证明了较弱的不等式(2.1.2)，几年以后，在他的著作[13]中，讨论了多种Bonnesen型不等式，其中包括不等式(2.1.3)，不过，他把(2.1.3)作为高维欧氏空间中凸体的Kritikos定理的直接推论，我们这里对不等式(2.1.3)给出独立的存在性证明，并且还对平面闭凸曲线的bi-enclosing环的宽度给出了一个估计。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。