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51.
设x:M→Sn 1(n≥3)是n 1-维单位球中的无脐点超曲面, Mobius不变量G,Φ,A和B分别表示x的Mobius度量, Mobius形式, Blaschke形式和Mobius第二基本形式.本文证明了如果x的Mobius形式Φ平行,并且A λG μB=0,其中λ,μ分别是定义在M上的光滑函数,那么Φ=0,由此及李海中、王长平(2003年)文献中的分类定理给出了Sn 1中具有平行的Mobius形式及满足A λG μB=0的超曲面的分类.此结果推广了他们及张廷枋(2003年)文献中的结果. 相似文献
52.
We consider a four-dimensional generalization of Hess–Appel’rot system and costruct its Lax pair. Both classical and algebro-geometric integration procedure are proceeded. The algebro-geometric integration is based on deep facts from geometry of Prym varieties such as the Mumford relation and Mumford-Dalalyan theory. The integration is similar to the integration of Lagrange bitop which has recetly been performed by the authors. 相似文献
53.
Ali Ghaffari 《Proceedings Mathematical Sciences》2007,117(2):177-183
In this paper, among other things, we state and prove the mean ergodic theorem for amenable semigroup algebras. 相似文献
54.
Cheikh Birahim Ndiaye 《Journal of Functional Analysis》2007,251(1):1-58
Working in a given conformal class, we prove existence of constant Q-curvature metrics on compact manifolds of arbitrary dimension under generic assumptions. The problem is equivalent to solving a nth-order non-linear elliptic differential (or integral) equation with variational structure, where n is the dimension of the manifold. Since the corresponding Euler functional is in general unbounded from above and below, we use critical point theory, jointly with a compactness result for the above equation. 相似文献
55.
We define nontempered (exponential growth) function spaces on the Lie group ax+b which are stable under some left-invariant (convergent) star product. The techniques used to achieved the latter come from symmetric spaces geometry and star representation theory. 相似文献
56.
Carlo Cercignani 《Journal of statistical physics》1990,58(5-6):817-823
The problem of finding the summational collision invariants for the Boltzmann equation is tackled with the aim of proving that the most general solution of the problem is not different from the standard one even when the equation defining a collision invariant is only satisfied almost everywhere inR
3×R
3×S
2. The collision invariant is assumed to be in the Hilbert spaceH
of the functions which are square integrable with respect to a Maxwellian weight. 相似文献
57.
Some gauge invariant atomic orbitals-coupled-perturbed Hartree-Fock (GIAO-CPHF) calculations were performed for seven indolizine derivatives and their monoprotonated forms. Chemical shift, molecular geometry, and charge distribution data are reported for each molecule. The calculations support the results of nuclear magnetic resonance (NMR) spectroscopy measurements showing that protonation occurs preferentially at N1. The good agreement between the calculated and observed 13C and 15N chemical shifts show that such calculations can be used for chemical shift assignment purposes. Cation structures and probable sites for electrophilic reaction or second protonation are also discussed. 相似文献
58.
磁流变弹性体(magnetorheological elastomer, MRE)执行器作为智能减振应用系统的核心元件,其结构的优化是决定执行器性能上限及系统控制成效的关键。针对目前MRE执行器优化方法及理论研究欠缺的问题,文中面向一款横向隔振的MRE执行器,基于其机械结构和有效磁路,以优越磁控性能、低功耗和快速响应时间为优化目标,提出了一种新的MRE执行器联合参数优化方法。首先,基于MATLAB和COMSOL的联合仿真,将遗传优化算法和电磁有限元分析方法进行有效结合,实现对MRE执行器的优化编程;其次,完成对器件的全局尺寸结构优化设计,使得器件具备优越磁控性能(526.21 mT)、低功耗(44.05 W)及快速响应(5.43 ms);最后,通过搭建测试系统对优化后装配的MRE执行器进行测试和评估,验证了文中优化方法的可行性和有效性。提出的联合优化方法不仅适用于MRE执行器结构,还可为多领域减/隔振应用的共性MRE器件优化设计提供理论参考。 相似文献
59.
60.
《Journal of Pure and Applied Algebra》2022,226(7):106936
Biquandles are algebraic objects with two binary operations whose axioms encode the generalized Reidemeister moves for virtual knots and links. These objects also provide set theoretic solutions of the well-known Yang-Baxter equation. The first half of this paper proposes some natural constructions of biquandles from groups and from their simpler counterparts, namely, quandles. We completely determine all words in the free group on two generators that give rise to (bi)quandle structures on all groups. We give some novel constructions of biquandles on unions and products of quandles, including what we refer as the holomorph biquandle of a quandle. These constructions give a wealth of solutions of the Yang-Baxter equation. We also show that for nice quandle coverings a biquandle structure on the base can be lifted to a biquandle structure on the covering. In the second half of the paper, we determine automorphism groups of these biquandles in terms of associated quandles showing elegant relationships between the symmetries of the underlying structures. 相似文献