定理的

Through the operation of formal power series, we set up the expansion of Ar, a popularizing of the common polynomial theorem, where r is a non-zero real number.

通过形式幂级数A的幂运算，建立了Ar的展开式，这里r为非零实数，这是常见的多项式定理的推广。

In Chapter 3, we study the semilocal convergence for the method appeared in Chapter 2 under Lipschitz continuous condition of the second Frechet derivative, and get the corresponding error estimation by majoriz-ing function technique. And also, an application of the theorem to a non- linear equation is given.

在第三章中，研究了复合型Newton-Steffensen迭代方法在算子的二阶导数满足Lipschitz连续条件时的半局部收敛性，并利用优函数技巧得到了其在该条件下的误差估计，最后给出了这个定理的一个应用。

Modeling experiments on real SAR images demonstrate that the heavy-tailed distributions based on the generalized central limit theorem can accurately describe the sharp-peaked and heavy-tailed statistics of high-resolution SAR images.

真实SAR图像的建模实例表明，基于广义中心极限定理的拖尾分布可以精确描述高分辨率SAR图像的尖峰和厚尾的统计特征。

In the proof of the theorem we reduce theestimate of solutions to hyperbolic system to the corresponding case fora scalar pseudodifferential equation of the first order, then weestablish the required estimate by using microlocal analysis.

在定理的证明中我们将双曲组化到相应的一阶拟微分方程的情形，进而利用微局部分析建立所需要的估计。

The idea of coarse geometry is motivated by the heat equation approach to the index theorem on noncompact manifolds.

用粗几何的观念研究非紧空间上的指标问题，这种想法来源于指标定理的热方程方法的启发。

First ,it is proved that a positive Hermite form corresponds uniquely to a positive self2adjoint operator in a complete random inner product module ,then this result leads directly to the proof of the main result of...

值得指出的是：完备随机内积模上Friedrichs 定理的证明中所涉及的一系列基本概念与方法都是以随机共轭空间理论为出发点的，与经典情形完全不同。

Here is a different state of affairs from classical mechanics, where absolute uniform motion is quite meaningless because of Galileo's law of inertia.

这里的情况跟经典力学不同，在经典力学中，由于伽利略惯性定理的关系，绝对的匀速直线运动是毫无意义的。

If one makes some omissions in Chapter 4, for example, the proof of the theorem of Lindemann—Weierstrass, one is likely to have several weeks left after the completion of this material.

并且在讲授过程中可以不讲引言中有关递归定理的证明，第一章的有关自由群的小节，第二章和第三章的最后一节。

Chapter two is concerned with the interpolation-typed matrix inversion that is developed by professor Ma.

作为本文的主要部分，第三章介绍了Milne关于二元序列的迭代关系的特征定理的矩阵描述，即用AX=XB来讨论无穷阶下三角矩阵反演。

The results represent that implications of von Neumann's Minimax theorem are supported under ping-pong games.

本文的分析结果表明乒乓球比赛的数据有力地支持了冯·诺伊曼的最小最大定理的推断。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。