查询词典 cauchy inequality

Similarly, some additional assumption is needed besides the Cauchy - Riemann equations, as the following example illustrates {{harv|Looman|1923|p=107

类似的有，有些在柯西-黎曼方程上额外的假定是必要的，下面的例子表明了这一点：{{harv|Looman|1923|p=107

Authors have predicted that a nonscalar curvature singularity will be formed at the Cauchy horizon of 1 + 1 dimensional charged dilaton black hole for the case of infalling null dust.

作者预告，对于入射的零质量尘埃的情况，1＋1维带电的膨胀子黑洞的Caochy视界将出现非标曲率奇性。

By using the perturbations of infalling null dust and of both outgoing and infallingnull dust in theSitter black hole geometry,respectively,wecheck a conjecture to the Cauchy-horizon stability given by Helliwell and Konkowski.

由于黑洞的柯西视界稳定性与宇宙监督假定有紧密联系，所以它一直是广义相对论中的一个重要研究课题。

By establishing a new comparison principle,and using method of L-quasi-upper and lower solutions and mixed monotone iterative technique,the results of existence and uniqueness of solutions to Cauchy problem s of first order nonlinear integrodifferential equations in Banach spaces are obtained.

通过建立一个新的比较原理，利用L-拟上下解方法和混合单调迭代法，研究了Banach空间中一阶非线性积分微分方程初值问题解的存在唯一性，并给出了近似解的迭代序列和误差估计式。

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。

Combination of principle and flexibility.

原则性与灵活性相结合。

However within a short period of 6 months she was already able to communicate in Japanese with the staff of the company and during meetings. Her first Japanese Album "KONYA KASHIRA? ASHITA KASHIRA?"

成龙的评价'邓丽君的美，天真之中又有几分雍容，永远的不可救药的温柔，兰花一样的气质，使她的歌与她的人完美地结合为一体。