查询词典 inequality sign

This paper considers weighted estimate s of polynomial operator spectra by using the methods of integral,Rayleigh theorem and Schwartz inequality and establishes the inequality of upper bound of the(n+1) spectrum by depending on the former n spectra and the estimated coefficient is independent of the measure of the domain.

考虑多项式算子谱的带权估计，利用分部积分、Rayleigh定理、Schwartz不等式等方法，建立了用前n个谱来估计第n+1个谱的上界的不等式，且其估计系数与区域度量无关。

This article is divided into several categories of questions, focus on a typical example of the Lagrange Mean Value Theorem to prove the application of the inequality summarized in the hope that readers can better grasp the Lagrange mean value theorem in the inequality in the application of skills .

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。

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。

Although translator has turned from being a crystal ball by which the original culture can unrestrainedly penetrate to another crystal ball by which the target culture can freely traverse, the translator's personal embodiment, in the process of cognitive act, are still absent in translation studies. Translators are still subjects without body or simply disembodied subjects.

译者虽然由原语文化可以自由穿透的玻璃球变成了译语文化可以自由穿越的玻璃球，但译者认知过程中的个体体验在翻译研究中依然缺席，译者依然仅仅是一个没有躯体体验的主体。

Chillingly, he claimed our technology is 'not nearly as sophisticated' as theirs and "had they been hostile", he warned 'we would be been gone by now'.

令人毛骨悚然的，他声称我们的技术是'并不那么复杂，像他们一样，和"如果他们敌意"，他警告说，'我们将现在已经过去了。