查询词典 converse theorem

And guided by Schur theorem, many of the Schur theorem inference arises, formed a complete theoretical system Schur theorem. Schur theorem and put many of its reasoning applied to the unitary matrix and the similarity matrix eigenvalue of proof onto.

在Schur定理的指导下，许多关于Schur定理的推论便产生了，并且形成了一个完整的Schur定理理论体系，把Schur定理和它的许多推论推广到了酉矩阵的相似和矩阵的特征值的证明上来。

In this paper we use pointwise modulus of smoothness to study approximation direct theorem and equivalent theorem for some linear operators and quasi-interpolant operators; Using pointwise modulus we discuss the strong converse inequality on K-functional; and using a modified weighted K-functional and weighted modulus of smoothness we study approximation with Jacobi weight on operator with non-zero first order moments.

本文利用点态光滑模ω_~(2r)来研究某些线性算子及逆中插式逼近正定理和等价定理；利用点态光滑模讨论其关于K-泛函的强逆不等式；同时利用一种改变的带权K-泛函和带权光滑模研究一阶矩不为零的算子的点态带Jacobi权逼近。

The Lyapunov theorem and its converse theorem of globally exponential stability for the discrete-time systems family in which the sampling period is a parameter are proved.

对以采样周期为参数的离散时间系统族，证明了全局指数稳定的Lyapunov定理和逆定理。

On the other hand, as illustrated in Picture B and D, the price drop would become material objects' price drop because of the continuous flow syphonage capital. Pictures stood by Picture B and D can become anti-syphonage theory pictures. The syphonage pictures and anti-syphonage pictures can simply stand for two converse investment opportunities. Under normal situations, commodity's syphonage capital flow can demonstrate a slow increasing situation in the long run. But the situation is usually affected by supply-and-demand situation in the middle and short run. Especially in the type of gurantee sum exchange, the supply-and-demand situation is a major factor affecting commodity price even in a price dominated market. The commodity's ultimate price will comparatively alter when the outer influence changes, and sometimes the price may change to a completely converse direction as expected. In case of the above case, we need to observe and research the influential factors. However the research is not like the Butterfly Theory research on slight variables. Syphonage theory deems that if continuous observance extends more than a certain percentage, such as 10% influential factor, and we continue researching, immediately putting 10% influential factors into research scale, we could finish the all-round research on commodity price analysis.

其中，图A和C表示的图形我们成为正向虹吸图形，B和D代表的图形成为反向虹吸理论图形，这种正向虹吸图形和反向虹吸图形分别可以简单代表两种相反的投机机会，在正常情况下，商品的这种虹吸资金流从远期看会表现出缓慢的上升走势，但在中短期，走势经常受到供求关系影响，特别在保证金交易的品种中，即使是价格操纵的市场中，供求关系也是影响商品价格的主要因素，这种以供求关系为主导的市场中，虹吸终值并不是一成不变的，在外在影响因素发生变化时，商品终值也会相应变化，有时甚至会改变到和预期截然相反的方向，这就需要我们经常对相关影响因素进行跟踪和研究，这种研究并不象蝴蝶理论分析的微小变动因素，虹吸理论认为只要连续跟踪超过一定权重，比如10％影响权重的因素，并持续研究，及时将超过10％影响因素事件纳入调查范围，既可完成对商品价格分析的全面性探索。

Information is shared and converse the trends that supplies chain recombines, right converse supply catenary system to distributing, the character of different compose raised special requirement.

信息共享和逆向供给链的动态重组，对逆向供给链系统分布、异构的特性提出了非凡要求。

The new electromagnetic properties of negative index material such as converse Cerenkov radiation and converse Doppler effect,negative refraction index and perfect lens are analyzed and explained by using basic electromagnetic theory.

从基本的电磁场理论出发，分析和解释负折射物质的电磁特性，以及负折射物质中的逆Cerenlov现象、逆Doppler现象、负折射率和完美透镜的工作原理，帮助人们更加清楚地认识负折射物质的本质特性，更好地开发和应用好负折射物质。

By using these convergence theorems,it presents the Silverman-To-eplitz regular theorem and Samaratunga-Sember theorem on the Abelian topologicalgroups,the Vitali-Hahn-Saks theorem on algebras and the weak sequentially completenesstheorem of 〓-dual spaces of sequence spaces,etc.

这是抽象分析中的两个基本定理。作为应用，给出了Abelian拓扑群上的Silverman-Toeplitz正则性定理、Samaratunga-Sember定理、代数上的Vitali-Hahn-Saks定理，以及序列空间的〓对偶空间之弱序列完备性定理等。

Theorem 1 constructs a set of universal measure zero using continuous extension; Theorem 2 verifies absolutely continuous function being of good property under some condition; Theorem 3 reveals some relation between real function and meager.

定理1 主要运用了连续延拓构造了一个泛测度零集；定理2 证明绝对连续函数在一定条件下具有良好的性质；定理3 揭示了实函数与第一纲集的某种关系。

Main work follows:(1) In the first part of this paper, a historical development of the number theory before Gauss is reviewed.Based on the systematic analysis of Gauss"s work in science and mathematics, inquiry into the mathematical background that Disquisitiones Arithmeticae appeals and Gauss"s congruent theory;(2) The development process of Fermat"s little theorem and its important function in the compositeness test is elaborated through original literature.we think that the first three section of Disquisitiones Arithmeticae is a summary and development for ancestors" work about Fermat"s little theorem,show that Fermat"s little theorem played an important role in the elementary number theory;(3) With the two main sources of the quadratic reciprocity law, investigating Fermat,Euler,Lagrange,Legendre, until the related work of Gauss,the way to realize the laws huge push to the development of algebraic number theory in 19 centuries.

本文主要做了以下工作：(1)首先回顾了高斯之前的数论研究状况，在系统分析高斯的科学与数学成就的基础上，探讨了《算术研究》出现的数学背景和高斯的同余理论；(2)通过对原始文献的系统解读，深入分析了费马小定理发现发展的历程以及在素性检验中的重要作用，指出《算术研究》前三节是高斯在总结并发展了前人对该定理研究的基础上形成的，并揭示了费马小定理在初等数论定理证明中的核心地位；(3)以二次互反律的两个主要来源为线索，详细考察了费马，欧拉，拉格朗目，勒让德，直到高斯的相关工作，揭示了该定律对十九世纪数论发展的巨大推动作用。

For some special cases, the paper gives some important identical theorems, and then establishes a valuable relation between the uniformly almost periodic functions and the trigonometric polynomials.Secondly, on the basis of the identical theorem, the paper investigates the Fourier series of the uniformly B2 almost periodic functions, and further proves that the series is unique.Thirdly, the paper discusses the Parseval equation of the uniformly B2 almost periodic functions, which establishes the relation between these functions and the coefficients of their Fourier series; and next investigates an important approximation theorem-Riesc-Fischer theorem, about the uniformly B2 almost periodic functions and the trigonometric polynomials.

并给出了特殊情况下的几个重要的恒同定理，将一致概周期函数与有限三角多项式联系起来；第二，在恒同定理的基础上，给出了一致B~2概周期函数的Fourier级数，并且级数是唯一的；第三，讨论了一致B~2概周期函数的Parseval方程，建立了函数与其Fourier级数的系数之间的联系；接着给出了关于一致B~2概周期函数和三角多项式之间的一个重要近似定理—Riesc-Fischer定理。

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。