查询词典 strict inequality

Using differential calculus knowledge to testify inequality, Calculus of higher mathematics is the core and calculus method of higher mathematics is typical of the whole mathematical method, the method is introduced for calculus ideas to solve the problem of finding an inequation, to make way for obtaining inequalities can be simple, the application of differential mid-value theorem and Taylor formula illustrate some of the inequality proof method.

运用微分学知识证明不等式；微积分是高等数学的核心，微积分思想方法是高等数学乃至整个数学的典型方法，微积分思想方法的引入为解决不等式证明的难题找到了突破，用来解不等式可使解题思路变得简单，文章应用微分中值定理及泰勒公式举例说明了部分不等式的证明方法。

In two inequalities concerning the circumradius and inradius of an n dimensional simplex in the n dimensional Euclidean space E n were obtained, Thus, the n dimensional Euler inequality and the inequality in , were improved.

给出了n维欧氏空间En中的两个关于单形外接球半径和内径的几何不等式，同时进一步改进了文［1］和［2］中的n维欧拉不等式。

The classical Poincaré s inequality plays a very important role in stability theory as well as in some other areas. It is widely used in academic research. For instance, the Poincarés integral inequality plays a pivotal role in the Arnolds non-linear stability theory.

在很多问题的研究中，经典的Poincaré不等式是一个非常重要的工具，用这个经典不等式作为研究问题的工具非常普遍，如Poincaré积分不等式在Arnold的非线性稳定性理论中起着关键性的作用。

In this paper, we generalized the reverse Shebyshev inequality and obtained the integral inequality of two vector function s, whose monotone of correspondence elements is reverse.

推广了反向Chebyshev不等式，得到了对应分量的单调性相反的连续向量函数的积分不等式和模的单调性相反的连续向量函数的积分不等式。

To fill this gap, the enhanced Poincaré inequality was obtained by considering the additional conservation law of momentum and by rigorous estimate of integral inequality.

为解决这个差异，利用周期带域上的Eady模型的动量守衡的性质，通过变分方法和积分的精细估计，建立一个加强的Poincairé积分不等式，从而证明了Eady模型的线性稳定意味着非线性稳定。

By solving theintegral inequality without impulses on each interval between two adjacent impulsive points, the solution of impulsive integral inequality is obtained step by step.

讨论了一个一般的脉冲积分不等式，利用两个邻近脉冲点间每个小区间上无脉冲积分不等式的解，一步步导出了脉冲积分不等式的解。

By solving the interval inequality without impulses on each interval between two adjacent impulsive points, the solution of impulsive integral inequality is obtained step by step.

讨论了一个一般的脉冲积分不等式，利用两个邻近脉冲点间每个小区闭上无脉冲积分不等式的解，一步步导出了脉冲积分不等式的解。

For the admissible time-delay as well as non-linear disturbances, an time-delay integral transformation and a matrix inequality method are developed. The design of observer and stability of error systems can be represented as a matrix inequality, matrix of observer gain and condition of global asymptotically stable of error systems are obtained. An example is included to illustrate the pratical applicability of the proposed theory.

对于允许的时滞和非线性干扰，利用一个变换和不等式技巧，将观测器的设计，误差方程的稳定性归结为一个矩阵不等式，给出了观测器增益阵的解析式和误差方程全局渐近稳定的条件，一个例子说明了所提定理的可行性。

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。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。