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- Gerhard Hopf, Falk Brunner Fotografien. 作者聲明: Werner Heiduczek Essay ;
- Last, the role of weak antipodes in the structures of modules/ comodules over a weak Hopf algebra is presented. 最后給出的一些結果體現了弱對極在弱 Hopf代數上的模 /余模結構中的作用 .
- Let L and A be Hopf algebras on field k with antipodes SL and SA,and let C be a right A-module coalgebra. 設L是域k上的Hopf代數,其對極為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是一個(gè)帶有對極S的Hopf代數，那么H~0是一個(gè)帶有對極S~*的Hopf代數。
- Hassard B D,Kazarinoff N D,Wan Y H.Theory and Applications of Hopf Bifurcation[M].Cambridge University Press 1981. 李繼彬;馮貝葉.;穩定性、分支與混沌[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)都是數域k上的弱Hopf代數,并且A是右H-余模代數。
- Then, some regular semigroups were constructed by using of weak antipodes of some weak Hopf algebras. 然后用某些弱 Hopf代數的弱對極構造正則半群 .
- Some basic conclusions and their improper proofs in "Hopf Algebra"(E.Abe) are amended and improved in this paper. 本文對專(zhuān)著(zhù)“Hopf Algebra”(E.;Abe)中若干基本結論或其證明的不妥或錯誤之處進(jìn)行了修正和改進(jìn)
- 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流形的自同構群。
- The occurrence of Hopf bifurcations is observed when the parameters are in ceertain range. 觀(guān)察到了在在一定的參數范圍內,異步電動(dòng)機間接磁場(chǎng)定向控制系統會(huì )出現霍夫分岔。
- Modern algebras, Homological algebras, Representation theory of algebras, Lie algebras, Hopf algebras. 教課領(lǐng)域：近世代數, 同調代數, 代數表示, 李代數，Hopf代數；
- By using the Hopf bifurcation theory, a competition diffusion model with delay is investigated. 利用霍普夫分歧理論討論了一類(lèi)含時(shí)滯競爭擴散系統。
- Nikolai, Hopf J, Perneczky A. Endoscopic neurosurgery and endoscope-assisted microneurosurgery for the treatment of intracranial cysts[J].Neurosurgery,1998,43(6):1330. 劉丕楠;王忠誠;張亞卓;等.;內鏡下手術(shù)治療顱內囊性病變[J]
- On the boundary of the stable region, a couple of conjugate transverse modes destabilize, and a Hopf bifurcation takes place. 在穩定區域邊界 ;一對共軛橫截模式失穩 ;導致同步混沌的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系統的非共振Hopf分叉[J].;國防科技大學(xué)學(xué)報;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. 論文還介紹了試驗臺自1995年啟用以來(lái)，所完成的新型機車(chē)車(chē)輛大型試驗情況，以此說(shuō)明由于有科學(xué)、合理的設計技術(shù)路線(xiàn)，試驗臺的研制非常成功，在我國高速、重載機車(chē)車(chē)輛的研制過(guò)程中發(fā)揮了重要作用。
- Additional features have been contributed by the community, for instance Xegl (Dave Airlie, Adam Jackson, John Smirl) and XVideo (Matthias Hopf). 社區貢獻了一些附加的特性，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代數的扭曲的Smash積及Smash余積[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,兩位不知名的審稿人對Hopf分岔的意見(jiàn)使我能改正本文初稿中某些不確切論述。
- 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. 主要研究關(guān)于弱Hopf代數的模代數在其不變量上的積分;設H是余可換的有限維的弱Hopf代數;A是可換的左H-模代數;那么A是其不變量AH上的積分.
