查询词典 cauchy kernel

The numerical results show that our method is effective. For the noncharacteristic Cauchy problem for 2-D and 3-D heat equation, we give the explicit H\"{o}lder type stability estimates by using weighted energy method. Especially,H\"{o}lder type stability estimate for discrete solutions of the heat equation is obtained through a fully discrete method. The numerical results are presented.

对于二维和三维的热传导方程的非特征Cauchy 问题，我们利用权函数方法，给出了一个显式的H\&{o}lder 型的稳定性估计，特别的，对于二维的非特征Cauchy问题，我们利用充分离散的方法，对二维问题的离散形式同样给出了H\&{o}lder 型的稳定性估计，同时，我们也给出了数值例子来说明我们的估计。

We start by obtaining a flagged form of the Canchy determinant and establish a correspondence between this determinant and nonintersecting lattice paths, from which it follows that Cauchy identity on Schur functions.

首先我们得到了一个带标志的Cauchy行列式，建立了这个行列式和不交格路径丛的对应，从而得到了关于Schur函数的Cauchy等式。

The global weak entropy solutions" existence and uniqueness of polytropic gas isentropic dynamics equations" general Cauchy problem has been solved. But, to the structure, property, regularity of solutions which has more physics meaning, there are less results now.

多方气体的等熵动力学方程组的一般Cauchy问题整体弱熵解的存在性及唯一性已经获得解决，但是，对于更具有物理意义的解的结构、性态、正则性等问题，已有的研究成果还不多。

In Chapter 2, we study the generalized skew-Cauchy distributions.

在第二章中，我们研究的是单变量的广义偏斜-柯西分布。

We indicate that there are violations of the Cauchy-Schwarz in-equality in the interaction of the atomic Bose-Einstein conder sate with lasers,which meansthe existence of nonclassical correlations between atoms and photons.

对外部量子电磁场的各种量子态，计算了超流的二阶关联函数，分析了超流的压缩特性。表明外部量子电磁场中的热噪声不影响超流的压缩特性，但影响超流的二阶关联函数。

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。

Serre was improved for Cauchy problem of compressible adiabatic flow through porous media, and a complete result on the global existence and the blow_up phenomena of classical solutions of these systems.

Serre得到的关于多孔介质中可压缩流体力学方程组解的存在性结果，给出了其Cauchy问题的一个关于经典解整体存在和破裂的完整结果·这些结果说明强耗散有助于&小&解的光滑性

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

本文多角度介绍了柯西中值定理的证明方法和应用。

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。

But for the displacement field with t he rigid rotating motions, the Cauchy strain theory is not suitable.

但是，对于具有刚性旋转的位移场来说，Cauchy 应变理论并不适用。

The receding calculations and experiment analyses in this subject are built on the blood cast of pig tongue.

本研究课题的前期工作是采用猪舌血管铸型模拟人舌而进行的数值计算与实验分析。

"Each human infection constitutes an opportunity for genetic modification of the virus through reassortment, mutation, or both...."

&每一次人类的感染都暗藏着一次基因修改的机会，无论是通过病毒的整合、突变或者兼而有之。。。。&