介绍几种常用的证明不等式的方法。
This article introduces several common methods about the demonstration of Inequality.
本文综述了证明不等式的若干方法。
This paper reviews the evidence of inequality in a number of ways.
给出了证明不等式的九种常用方法。
This paper introduces nine kinds of common use methods of demonstrating inequality.
本文列举了利用概率论的思想方法证明不等式的六种基本方法。
This article enumerates six fundamental methods of using the method of thinking of probability to prove the inequality.
先将不等式转化成函数不等式，然后在每个局部区间上证明不等式。
Namely, the inequality should be transformed into function inequality first and then the inequality can be proved by an interval of each segment.
通过给出几个实例，介绍了利用二次型的半正定性证明不等式的方法。
The author introduce the method of applying positive semi-definite quadratic form to prove inequality by giving several examples.
给出了利用积分和证明不等式的原理以及积分和在不等式证明中的应用。
This paper displays the principle of using integral sum to prove inequality and the application of the principle.
本文从定理出发，通过对典型例题的分析，给出了导数在证明不等式中的若干应用。
Starting from the theorems, this paper presents some applications of the derivative in proving inequalities through the analyses of typical examplinary problems.
然而，JohnBell后来通过实验反驳Bell不等式(正是它使epr思维实验正式化)证明了真实粒子间的纠缠。
John Bell, however, later demonstrated entanglement in real particles by experimental refutation of the Bell Inequality (which formalized the EPR thought experiment).
证明了有关函数平均值的一个估值不等式，应用它推出了若干重要的不等式。
An inequality of estimate for function means is proved, and by using it some classical inequalities are proposed.
文章给出了几种常用方法，通过这些方法，可以较为简洁，方便地解决一些不等式的证明。
This paper gives out a few methods to prove inequation and by which we can simply and quickly solve the problem.
第二部分将通常的积分平均值不等式推广成一般形式，并利用它给出一些不等式的证明。
The part two general forms was derived with general integral average inequality and Some inequality was proved with this result was obtained above.
用数学分析的方法证明一类含根式的新不等式，展示了极限思想在处理一般数学问题时的深刻性。
With mathematical analyses, this paper proves one kind of new inequality including radical, which shows the profound of limit in dealing with normal mathematics problems.
数学归纳法可以用来证明与正整数有关的恒等式、不等式、整除性问题和几何问题等。
Mathematical induction can be used to prove the positive integers and Identities, inequality, and the divisibility of geometric problems.
你可以简要地说其实证明就是初等矩阵理论，三角不等式和鸽笼原理的运用。
You can say that the proof USES nothing beyond elementary matrix theory, repeated use of the triangle inequality, and the pigeonhole principle.
本文从几个命题的证明来阐述微分不等式的应用。
This article by seeking to prove propositions, set forth the application of differential inequality.
凸(凹)函数有很多特性，这些性质可广泛应用于不等式的证明及误差估计等方面。
There are convex function and concave function, Which are of expansive application in many aspects, especially in inequality proof and error estimate.
本文介绍了用微分法讨论不等式有关证明方法，利用这些方法使不等式的证明变得非常简单。
The paper introduces the methods of proving the inequality with differentiation, which make it easy to prove some inequalities.
在适当的条件下，通过建立一个先验不等式，证明了其唯一非负解是平凡的。
By establishing a prior inequality, we prove that, under suitable conditions, the unique non-negative solutions of the problems are trivial.
论文用两种方法给出了广义超立方体网络宽直径的具体证明，而两种方法的主要区别在于分别采用数学归纳法和直接构造法证明了不等式(1)。
In this paper, the wide-diameter of generalized hypercube is proved in two ways whose difference is to use mathematical induction and constructing method to prove the inequation (1).
证明了与正切函数相关的两个不等式。
Two inequalities related to tangent function are proved in this paper.
本文着重论述了凸函数在不等式证明中的重要应用。
This article emphasizes important application of convex function in inequality proving.
同时利用信息论中的不等式，直接地证明最小交互熵解就是对偶几何规划解；
Then, using the inequality of information theory, the paper directly proved that the minimum cross-entropy solution is exactly the dual geometric programming solution.
并举例说明柯西不等式在不等式证明中应用的广泛性和灵活性。
The application widespread and flexibility of Cauchy inequality are show by the examples.
我们证明了负能密度满足两类量子不等式。
It is demonstrated that the negative energy densities satisfy two quantum inequalities.
本文用微分不等式证明了二阶奇摄动系统解的存在性、唯一性和周期性。
This paper proves the existence, uniqueness and periodic problem of the solution about second order singular perturbation system by using the differential inequality.
在分析数学中有些不等式的证明往往比较复杂，而且具体的直观含义也比较抽象。
In analysis mathematics, some identifications of inequalities are often more complicated, and concrete ocular meaning is more abstract.
我们只证明这个不等式方程，而没有证明标准数据流方程(8)，原因是我们所感兴趣的只是解的正确性而不是解的最优性。
We only prove an inequation rather than the standard dataflow equation (8) because we are interested only in the correctness of the solution, not in its optimality.
我们只证明这个不等式方程，而没有证明标准数据流方程(8)，原因是我们所感兴趣的只是解的正确性而不是解的最优性。
We only prove an inequation rather than the standard dataflow equation (8) because we are interested only in the correctness of the solution, not in its optimality.
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