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The conformal flat space-time solutions in electromagnetic and scalar theory are shown,and the indefiniteness of the plane-symmetric solutions and the method for defining a noncontinuous field by the intersection of multi-solutions are demonstrated.

文摘：给出电磁场和标量场在共形平直时空中的解，发现了平面对称解的不确定性及由多重解的交集来定义一个非连续场的方法。

The vactrix method is further developed, a vectrix Skew-symmetric crossproduct identity is presented and the dyadic form of the derivative of a vector with respect to another vector in terms of vectrix is also offered.

进一步发展了矢阵方法，提出了矢阵叉积算子恒等式及矢量相对于矢量的导数以矢阵表示的并矢形式，并给出了若干应用实例。

We showthat End〓is an algebra in 〓,and then we construct a derived Lie algebra〓 in 〓 and prove existenceness of its enveloping algebra under the condi-tion that the"braiding"in the category 〓 is symmetric on 〓.

Radford的双积定理给出了在Yetter-Drinfel'd范畴〓中构造辫子群[48-50]的一种方法。因为，冲积已被发展为交叉积，许多冲积的相应结果被搬到了交叉积上。

The real symmetric matrix, the diagonal matrix and the orthogonal basis of n-dimensional Euclidean space are studied.

研究实对称矩阵、对角矩阵以及欧氏空间的规范正交基。

In the final analysis, it will turn out that a transformation is diagonalizable if the matrix associated with it is symmetric or Hermitian.

归根结底，这将反过来，一个转变是如果与此相关的矩阵是对称的或厄米特。

The paper has discussed such problims as the properties of sub-eigenvalue and sub-eigenvector of real-anti-sub-symmetric matrix,and its diagonalization.

讨论了实反次对称矩阵的次特征值与次特征向量的性质及实反次对称矩阵的对角化问题。

In this paper, the problems of correlation characterizations of complex symmetric matrices are deduced and analyzed, which include the eigenvalue, the condition number and the problem of diagonalization.

本论文分析和阐述了复对称矩阵在相关方面的性质和问题，包括特征值、条件数和对角化等问题。

Compared with the existing results for this network, the given stability conditions do not require the differentiability of the mappings, and the symmetric of the sum of the mappings.

与已有结果相比，文中的稳定性条件并不需要映射的可微性及映射和的对称性。

Based on Stahl (1988), this paper extends symmetric model in duopoly in Spulber (2002), analyzes the asymmetric model of competition with both different inputs and outputs, and examines in detail the impact of differential parameter of supply and demand on competition.

本文以Stahl(1988)为基础，将斯普尔伯(2002)对称的双寡头垄断中间化对称模型进行扩展，分析了投入品与产出品都不同的非对称寡头竞争模型，并详细考察了供给、需求差异化参数对竞争的影响。

The X-ray double-crystal diffraction rocking curve measurements show the full-width half maximum of 180" and 185" for (0002) symmetric reflection and (10 12) skew reflection,respectively.A room temperature mobility of 850cm2/ is obtained for a 3μm thick GaN film.

GaN材料的X射线双晶衍射摇摆曲线(0 0 0 2 )对称衍射和(10 12 )斜对称衍射半宽分别为 180"和 185"；3μm厚GaN薄膜室温电子迁移率达到85 0cm2 /。

The work of this paper is as follows: 1. Looking back the progressing history of the linear motor, introducing the features of the elevator driven by linear induction motor, radicating the topic of this paper "the digital frequency variable control of the elevator bi-side direct driven by linear induction motor". The research of this paper covers the conventional VVVF control, space vector based VVVF control, vector control and DTC.

本文主要开展了以下几个方面的工作： 1 回顾了直线电机发展历史，电机的驱动技术演变，特别是针对直线电机的驱动，简要介绍了直线感应电机驱动电梯的优点和不同结构类型，对传统的v／f控制，基于空间矢量法的v／f控制，矢量控制，和基于电压空间矢量的直接转矩控制进行了比较，确立了本课题的研究主题：直线感应电机双边直推式驱动电梯的全数字变频控制。

The article combines with the treatment of a superficial civil air defense work to introduce how the grouting method to improve the performance of the backfill soil.

文章从治理漂浮人防工事的角度提出了注浆技术在改善回填土性质方面的应用，并详细阐述了注浆技术的施工流程。