查询词典 cauchy inequality

Paper studies the practical stability of electricity market models by tools, for example, the appropriate structure Lyapunov functions, Cauchy matrix, the matrix measure, constant variation. Judging practical stability sufficient conditions and estimating formula of ultimate convergence boundary are provided. Conditions are descriptive by coefficients of models. At the same time, paper studies the Lyapunov stability of the electricity market. As well as the sufficient conditions of judging electricity market Lyapunov stability are provided. Some of conclusions improved the results of Alvarado and others. The conclusion of Lyapunov stability has made a comparative with practical results.

首次将实用稳定性理论和方法应用于电力市场稳定性的研究中，借助于构造合适的Lyapunov函数、柯西矩阵、矩阵测度、常数变易法等工具，系统研究了所建电力市场模型的实用稳定性，得到了用模型的系数来描述其实用稳定性的一系列判定条件和最终收敛边界的估计公式；同时对电力市场的Lyapunov稳定性进行了研究，得到了电力市场稳定性的若干判据，部分结论改进了Alvarado等人的结果；随后将Lyapunov稳定的结果与实用稳定进行了比较。

In this paper, by using Cauchy-Riemanne condition of analytic function, a simple solving process of analytic function with a harmonic function as its real pan or pure part is presented.

文章利用解析函数的Cauchy-Riemanne条件，给出了调和函数作为解析函数的实部或虚部时解析函数的一种简单求法。

In the second chapter, the concept of an integrated abstract delay equation is introduced, and the equivalence of the well - posedness of an integrated delay equation and an associated integrated Cauchy problem is derived.

在第二章中，引入了积分抽象时滞方程的概念，并且得到积分抽象时滞方程的适定性与相应的积分柯西问题适定性等价。

In the paper,generalized forms for Cauchy s mean value theorem ab ou t complex function are given,asymptotic behaviors of the intermediate point as z→z 0 are discussed.

给出了复分析中中值定理更一般的形式，并讨论了当 z→z0 时中值点的渐近

Equidistance point and difference theory in theory of function approximation are studied. Meanwhile, the relation among difference, difference quotient and derivate is revealed. By drawing Lagrange's and Cauchy's theorem of mean on difference and Taylor's formula into difference function, four theorems, such as Lagrange's theorem of mean on difference, are concluded in simple way. On the basis of these conclusions, the asymptotic property of middle point is studied, a series of new conclusions are drawn and the discussions on the asymptotic property of middle point in differential mid-value are summarized.

对函数逼近论中等距节点和差分理论进行了研究，揭示了差分、差商与导数之间的联系；将Lagrange中值定理、Cauchy中值定理、Taylor公式引入到差分函数中，简明地推导出Lagrange差分中值定理等4个定理，并在此基础上对"中间点"的渐近性进行了研究，得出了一系列"中间点"的渐近性的结果，概括了有关文献对微分中值公式的"中间点"的渐近性的讨论；给出的引理改进了函数逼近论的证明方法，精简了函数逼近论中的一些内容。

The new model introduces a modified term M , which includes the contribution to total energy from the angular distribution of an atomic electronic density, and can fit the negative Cauchy pressure of such as Cr.

本文导出了一个普适分析型嵌入原子模型，该模型引进了一个描述原子电子密度分布的非球对称部分对系统总能量贡献的修正项M，它能正确拟合具有。。。

By normalizing the system which is described by differential equations, we transform the system to an abstract Cauchy problem in a Banach space.

通过对描述其系统行为的偏微分方程组的规范化，将其转化为Banach空间中抽象的Cauchy问题。

We study also the corresponding Cauchy problems with a given generalized Borel measure as initial data.

情形，证明了以外正则Borel测度作为初始值的Cauchy问题解的存在性。

Then by matching the traction along the branches and the boundary of the strip, Cauchy singular equations were obtained, in which the point dislocation and the distributed dislocation density served as the unknown function.

根据板条边界和裂纹面上的应力边界条件，建立以集中位错强度和分布位错密度为未知函数的Cauchy型奇异积分方程，利用半开型积分法则将该奇异积分方程化为代数方程求解。

The results show that Cauchy's criterion for convergence, sign theorem, and boundedness theorems are kept.

结果表明，柯西收敛准则、符号定理和有界定理仍然成立。我们的结果推广了经典复分析中的已知结论。

Pull in the market, developers investment enthusiasm undiminished.

在市场的拉动下，开发商投资热情不减。

One of the most common uses of Flash memory is for the basic input/output system of your computer commonly known as the BIOS (pronounced "bye-ose").

闪存的最基本用途之一用于计算机的基本输入/输出系统，一般称为 BIOS （发音为"bye-ose"）。