Cauchy inequalities, Liouville's Theorem.

柯西不等式、刘维尔定理。

This paper has presented Cauchy square method.

本文提出了柯西平方法。

The theoretical distribution is log-Cauchy distribution.

该表达式为对数柯西分布。

Cauchy Integral Formula, derivatives of high order formula;

柯西积分公式，高阶导数公式；

The middle value theorem consists of Roue. Lagrang and Cauchy theorem.

中值定理包括罗尔定理、拉格朗日定理和哥西定理。

Cauchy Schwarz's inequality is an applied mathematical formula with great value.

柯西不等式是应用价值非常大的数学公式。

A study is made on Cauchy problem of compressible Eulers equations with relaxation term.

研究具松弛项可压缩的欧拉方程组柯西问题。

The application widespread and flexibility of Cauchy inequality are show by the examples.

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。

A discussion on some characterized mapping conclusions similar to Cauchy integral theorem.

讨论具有某种特征映射的类似柯西积分定理的结论。

They have not only an outer event horizon but also an inner horizon, called a "Cauchy" horizon.

它们不仅有一个外边界，还有一个内边界，称为“柯西”视界。

The analytical method is Cauchy integration for a infinite plate with semi-infinite crack.

对具有半无限长裂纹的无限大板采用的分析方法是柯西积分。

Grip expertly and apply the Cauchy Integral Formula and derivatives of high order formula;

熟练掌握和运用柯西积公式与高阶导数公式；

A closed form for the exponential generating function of the generalized Cauchy Numbers is obtained.

对该数的指数型生成函数，得到了它的封闭形式。

This paper introduces the proof and application of Cauchy mean-value theorem from many angles in every aspect.

本文介绍了柯西中值定理的多种证明方法及其应用。

At this Cauchy horizon, because of the centrifugal forces involved, particles slow down back to the speed of light.

在柯西视界上，因为产生离心作用，粒子速度减慢，回到光速。

Cauchy stress, plastic strain and slipping-off distribution in the workpiece during drawing process are given.

模拟得出了变形过程中的应力应变状态和错动量分布。

This article represents Cauchy Integral Concept and Lebesgue Integral Concept. It also compares the two concepts.

介绍了柯西积分概念及定义在区间上的实函数的勒贝格积分概念，并将两者加以比较。

In the paper, we discusses the internal cause permeability and unity of Cauchy inequality in the different fields.

本文讨论柯西不等式在不同领域的内通性、渗透性和统一性。

The generalized Cauchy projection formula is frequently used in dealing with problems concerning geometric quantities.

在处理关于这些几何量的问题时广义柯西投影公式经常被使用。

In this paper, we present the proofs of Lagrange Theory and Cauchy Theory. By this method we may determine coefficient.

本文用待定系数法证明拉格朗日定理与柯西定理。

The performance of algorithm will be improved by using perturb model based Cauchy distributing and Tsallis accept rule.

算法通过使用基于Cauchy分布的扰动模型和Tsallis接收准则来提高模拟退火算法的性能。

The paper makes an analysis and inquiry about the differences among the Roue Theorem. Lagrange Thoorem and Cauchy Theorem.

本文就罗尔定理、拉格朗日定理和柯西定理三者的区别与联系作了分析与探讨。

The crossover operation and cauchy mutation operation are used to enhance the convergence performance and speed of the algorithm.

采用交叉和柯西变异运算，提高了算法的收敛速度和精度。

Through studying the encoding method of Cauchy RS code, it is found that Cauchy matrix plays an important role in encoding process.

通过分析柯西RS码的编码方式，柯西RS码在编码过程中柯西矩阵对编码效率有着极大的影响。

MethodsThe method of historical analysis and the viewpoint of non-standard analysis are used to study the original works of Cauchy.

方法运用历史分析的方法，采用非标准分析的观点对原始文献进行研究。

This paper gives the new method to prove the cauchy mean value theorem which also may be deduced from the Lagrange mean value theorem.

给出柯西中值定理的一个新的证法，说明柯西中值定理也可由拉格朗日中值定理导出。

This paper gives the new method to prove the Cauchy Mean Value Theorem, which also may be deduced from the Lagrange Mean Value Theorem.

给出柯西中值定理的一个新的证法，说明柯西中值定理也可由拉格朗日中值定理导出。

The algorithm's global searching ability is improved through Cauchy variation, and local searching ability is improved by Gauss variation.

通过柯西变异，提高算法的全局搜索能力，通过高斯变异，提高算法的局部搜索能力。

In Chapter l, we introduce the background of the research of Cauchy problem and the main methods and results of "differential" regularization.

第一章，我们阐述柯西问题的研究背景以及“微分”正则化的主要方法以及结果。