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Therefore,in order to simplify the proving process of these inequalities.Though reading a lot of relevant resource,we begin with the basic concept of math,and use an ingenious way――probabilistic method, which means that according to the main features of inequality theory,combining the basic concepts and formulas of probability,through creating one suitable probability model,giving some concrete meanings of random events or random variables,proving through probability theory,we discuss the Cauchy inequality,Class inequality,Jensen inequality,and several common inequality's proofs.

因此，为了简化这些不等式的证明过程，通过阅读大量的相关资料，本文从数学的基本概念入手，运用了1种巧妙的方法——概率方法，即根据不等式的主要特征，结合概率论的1些基本概念和公式，通过建立1个适当的概率模型，赋以1些随机事件或随机变量的具体含义，再利用概率论的理论加以证明，讨论了柯西不等式，级数不等式，詹森不等式和几个1般不等式的证明。

Inhaling cedarwood either as oil or as incense also helps dissolve mucous in the sinuses, and can be used in formulas for steam baths or a face steam as a result.

吸入雪松不管是精油还是薰香，也将帮助溶解窦腔中的粘液，并因此而能用于蒸汽沐浴或脸部蒸汽浴的配方中。

In this thesis the planar bilayer lipid membranes inlaid with oxide cholesterol , phosphatidylcholine or cephalin have been prepared .The effects of membranes formulas on membranes stability and zinc ions transfer ability have also been studied.

中文摘要采用氧化胆固醇与磷脂混合作为成膜液制备双分子层脂质膜的方法，研究了制备平板双分子层脂质膜的配方和成膜条件，并对制得的双分子层脂质膜的稳定性、离子通透性、离子选择通过性能、双层膜中氧化胆固醇对通透性的影响等进行了研究。

With the analysis and research of the supply chain performance measurement index system of domestic and international at present, this paper constructs the whole supply chain performance measurement index system, from internal of node, between the nodes and the whole supply chain performance measurement three aspects.And then, gives quantitative formulas of quantitative and qualitative.

本文在总结国内外相关研究成果的基础上，首先从供应链节点企业内部的绩效评价、节点之间的绩效评价和供应链整体绩效评价三个方面，构建供应链总体的绩效评价指标体系，并给出相关定量指标和定性指标的量化公式。

The formulas calculating higher derivatives of parametric functions and composite functions are given by the chain rule and the product formula for derivatives.

用函数的链式法则和乘积公式给出了参数函数和复合函数的高阶导数的计算公式。

Nonetheless, all Monophysites rejected the dogmatic formulas of Chalcedon, and efforts to reach an acceptable compromise failed.

然而，所有Monophysites拒绝教条公式迦克墩，并努力达成一项可接受的妥协失败。

You can enter data, add formulas and functions, apply filters, change formatting, and recalculate .

电子表格（您可以在网页上输入数据，添加公式和函数，应用筛选条件，更改格式设置和重新计算。

In the given algorithm, a matrix is first transformed into its Hessenberg form by using row- and column-transformation and the characteristic polynomial can be then determined by means of the formulas and a recursive algorithm given in this paper.

例如，在确定系统矩阵的规范形，在用代数方法判别系统的稳定性，在控制器和观测器的设计等时，就通常需要计算矩阵的特征多项式。

Chromatically arranged with intuitive numbering system, colors are printed on coated stock with their RGB values and ink mixing formulas for accurate simulation and reproduction.

每页显示七种颜色，每个色彩均以独有的PANTONE编号或名称标识，且每个色彩都注有油墨混合配方和sRGB值。

This paper used a method of curvature circle replacing general curve,the authors obtain twouniversal formulas calculating the inherent frequency of relative oscillation in miniamplitude be-tween columns that have general section curve.

本文应用曲率圆弧近似一般曲线的方法，导出了具复杂截面曲线的等截面柱体在另一柱体上微幅摆动时固有频率的一般计算式。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。