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- Gerhard Hopf, Falk Brunner Fotografien. 作者声明: Werner Heiduczek Essay ;
- Last, the role of weak antipodes in the structures of modules/ comodules over a weak Hopf algebra is presented. 最后给出的一些结果体现了弱对极在弱 Hopf代数上的模 /余模结构中的作用 .
- Let L and A be Hopf algebras on field k with antipodes SL and SA,and let C be a right A-module coalgebra. 设L是域k上的Hopf代数,其对极为SL;
- In addition, if B=H is a Hopf algebra with antipodes, then H0 is a Hopf algebra with antipodes S . 而且,如果B=H是一个带有对极S的Hopf代数,那么H~0是一个带有对极S~*的Hopf代数。
- Hassard B D,Kazarinoff N D,Wan Y H.Theory and Applications of Hopf Bifurcation[M].Cambridge University Press 1981. 李继彬;冯贝叶.;稳定性、分支与混沌[M]
- In this paper,(A,SA) and(H,SH) both are weak Hopf algebras on a field k. A is also an H-module algebra. (A,SA)和(H,SH)都是数域k上的弱Hopf代数,并且A是右H-余模代数。
- Then, some regular semigroups were constructed by using of weak antipodes of some weak Hopf algebras. 然后用某些弱 Hopf代数的弱对极构造正则半群 .
- Some basic conclusions and their improper proofs in "Hopf Algebra"(E.Abe) are amended and improved in this paper. 本文对专著“Hopf Algebra”(E.;Abe)中若干基本结论或其证明的不妥或错误之处进行了修正和改进
- The purpose of this paper is to calculate the automorphism groups of Hopf surface and Hopf manifold . 本文主要研究Hopf曲面和Hopf流形的自同构群。
- The occurrence of Hopf bifurcations is observed when the parameters are in ceertain range. 观察到了在在一定的参数范围内,异步电动机间接磁场定向控制系统会出现霍夫分岔。
- Modern algebras, Homological algebras, Representation theory of algebras, Lie algebras, Hopf algebras. 教课领域:近世代数, 同调代数, 代数表示, 李代数,Hopf代数;
- By using the Hopf bifurcation theory, a competition diffusion model with delay is investigated. 利用霍普夫分歧理论讨论了一类含时滞竞争扩散系统。
- Nikolai, Hopf J, Perneczky A. Endoscopic neurosurgery and endoscope-assisted microneurosurgery for the treatment of intracranial cysts[J].Neurosurgery,1998,43(6):1330. 刘丕楠;王忠诚;张亚卓;等.;内镜下手术治疗颅内囊性病变[J]
- On the boundary of the stable region, a couple of conjugate transverse modes destabilize, and a Hopf bifurcation takes place. 在稳定区域边界 ;一对共轭横截模式失稳 ;导致同步混沌的Hopf分岔 .
- Nonresonant Hopf bifurcation of Van der Pol-Duffing sytem[J].Journal of National University of Defense Technology,2001,23(2):107-110(in Chinese). Van der Pol-Duffing系统的非共振Hopf分叉[J].;国防科技大学学报;2001;23(2):107-110
- It is the first time to obtain the real railway vehicle’s limit cycle curve and Hopf bifurcation point by roller rig test in the world. 论文还介绍了试验台自1995年启用以来,所完成的新型机车车辆大型试验情况,以此说明由于有科学、合理的设计技术路线,试验台的研制非常成功,在我国高速、重载机车车辆的研制过程中发挥了重要作用。
- Additional features have been contributed by the community, for instance Xegl (Dave Airlie, Adam Jackson, John Smirl) and XVideo (Matthias Hopf). 社区贡献了一些附加的特性,比如Xegl(Dave Airlie; Adam Jackson; John Smirl)和XVideo (Matthias Hopf).
- NI Shen-bing.Weak Hopf algebras's twisted Smash product and Smach coproduct [J].J of Zhejiang University (Science Edition), 2002, 29(3): 268-273. [8]倪沈冰.;弱Hopf代数的扭曲的Smash积及Smash余积[J]
- Also, the comments on Hopf Bifurcation from two anonymous reviewers led me to correct some inaccurate statements in the first version of the manuscript. 此外,两位不知名的审稿人对Hopf分岔的意见使我能改正本文初稿中某些不确切论述。
- In this paper,we prove that if H is a cocomutative finite dimensional weak Hopf alegbra and A is a commutative H-module algebra,A is integral over its invariant AH. 主要研究关于弱Hopf代数的模代数在其不变量上的积分;设H是余可换的有限维的弱Hopf代数;A是可换的左H-模代数;那么A是其不变量AH上的积分.