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141.
The aim of this note is to give a direct proof of the fact that the Steinberg formula holds for the Vaserstein symbol and the universal weak Mennicke symbol. We also give an alternate proof of the fact that the Steinberg formula holds for the Vaserstein symbol. 相似文献
142.
Taejung Kim 《Geometriae Dedicata》2009,140(1):81-93
Krichever (Commun Math Phys 229(2):229–269, 2002) invented the space of matrices parametrizing the cotangent bundle of moduli
space of stable vector bundles over a compact Riemann surface, which is named as the Hitchin system after the investigation
(Hitchin, Duke Math J 54(1):91–114, 1987). We study a necessary and sufficient condition for the linearity of flows on the
space of Krichever–Lax matrices in a Lax representation in terms of cohomological classes using the similar technique and
analysis from the work by Griffiths (Am J Math 107(6):1445–1484, 1985).
相似文献
143.
This paper presents some applications using several properties of three important symmetric polynomials: elementary symmetric polynomials, complete symmetric polynomials and the power sum symmetric polynomials. The applications includes a simple proof of El-Mikkawy conjecture in [M.E.A. El-Mikkawy, Appl. Math. Comput. 146 (2003) 759-769] and a very easy proof of the Newton-Girard formula. In addition, a generalization of Stirling numbers is obtained. 相似文献
144.
145.
A. Macor F. Doveil C. Chandre G. Ciraolo R. Lima M. Vittot 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2007,41(3):519-530
A numerical and experimental study of a control method
aimed at channeling chaos by building barriers in phase space is
performed on a paradigm for wave-particle interaction, i.e., a
traveling wave tube. Control of chaotic diffusion is achieved by
adding small apt modifications to the system with a low additional
cost of energy. This modification is realized experimentally
through additional waves with small amplitudes. Robustness of the
method is investigated both numerically and experimentally.
An erratum to this article is available at . 相似文献
146.
Let R be a ring generated by l elements with stable range r. Assume that the group ELd(R) has Kazhdan constant 0>0 for some dr+1. We prove that there exist (0,l)>0 and , s.t. for every nd, ELn(R) has a generating set of order k and a Kazhdan constant larger than . As a consequence, we obtain for where n3, a Kazhdan constant which is independent of n w.r.t. generating set of a fixed size. 相似文献
147.
关于Smarandache 函数S(n)的一个猜想 总被引:8,自引:8,他引:0
杜凤英 《纯粹数学与应用数学》2007,23(2):205-208,213
对任意正整数n,著名的Smarandache 函数S(n)定义为最小的正整数m,使得n|m!.即就是S(n)=min{m∶n|m!,m∈N}.本文的主要目的是利用初等方法研究一个包含函数S(n)的猜想,并部分的得到解决. 相似文献
148.
149.
Satoru Kuroda 《Mathematical Logic Quarterly》2001,47(2):183-186
We show that length initial submodels of S12 can be extended to a model of weak second order arithmetic. As a corollary we show that the theory of length induction for polynomially bounded second order existential formulae cannot define the function division. 相似文献
150.
Akio Yamamoto 《Journal of organometallic chemistry》2000,600(1-2):159-167
The course of the development of organometallic chemistry is reviewed from the author's personal viewpoint. The impact of the discoveries of ferrocene and the Ziegler catalyst on the later development of organotransition-metal chemistry is discussed. Through evolution of fundamental concepts, such as the insertion of olefins and carbon monoxide into metal—carbon bonds, oxidative addition and reductive elimination, and attack of nucleophiles on coordinated ligands, together with reactivities of carbene and metallacyclic complexes, various important processes have been developed. The diversity of transition-metal complexes and their unique reactivities not found in usual organic compounds warrant further developments in the various forefronts related to organometallic chemistry with almost limitless possibilities in applications as well as in fundamental studies. 相似文献