他们完成了长期以来努力对霍普夫代数上根进行的分类。
They finished their long-term classification effort of Hopf algebras with coradical.
该模型经历了鞍结点分支和霍普夫分支。
It is shown that the model undergoes saddle-node bifurcation and Hopf bifurcation.
利用中心流形约化方法证明了霍普夫分歧解的稳定性。
By using the method of centre manifold, the stability of the Hopf bifurcations is also proven.
讨论了一类捕食者-食饵系统的参数在某个范围变化时在非零不动点处产生霍普夫分叉的情况，并对其稳定性进行了分析。
This paper discusses the state of Hopf bifurcation in a predator-prey system when parameter varies in some field, and analyzes the stability of the system.
还有夏洛特·霍普，她加入弗吉尼亚第一骑兵营，是为未婚夫报仇；1861年，她未婚夫死于一次偷袭。
Then there was Charlotte Hope, who signed up in the 1st Virginia Cavalry to avenge the death of her fiancé, killed in a raid in 1861.
据欧米茄的奥运部门经理克里斯托夫·贝特霍德称，在比赛结果的决定过程中，没有任何人为干预，因此菲尔普斯的胜利是“绝对毫无疑问的”。
Christophe Berthaud, Omega's Olympic manager, said that there was no human intervention in the determining of race results and that there was "absolutely no doubt" that Phelps won.
辩论将在星期三晚上在纽约州亨普斯特德的霍夫斯特拉大学举行。
Going into the debate at Hofstra University in Hempstead, New York.
这些不同只存在于与想象中，而非现实，就如对前石油大亨也是普金竞争对手米哈伊尔•霍多尔科夫斯基的第二次审判所证明的那样，这场滑稽剧般的审判秀就在梅德韦杰夫的注视下进行。
These are more notional than real, as the farcical second show trial of Mikhail Khodorkovsky, a former oil boss and a Putin rival, which is taking place on Mr Medvedev's watch, demonstrates.
奥利弗-比埃霍夫问我要不要那晚让我的伙伴DJ诺普从柏林过来放迪斯科。
Oliver Bierhoff asked me if I could ask my buddy DJ Noppe from Berlin to spin the discs that night.
今天我们将跟俱乐部最耀眼的两位明星迈克·菲尔普斯和凯蒂·霍夫一起来看看自由泳。
Today, we're gonna be looking at freestyle swimming with two of our club's brightest stars, Michael Phelps and Katie Hoff.
在这项研究中，库珀德霍夫和他的同事考察了一个有6400名受试者的大型研究的分组(INVEST)，即国际维拉·帕米的SR -群多普利研究。
For this study, Cooper-DeHoff and colleagues looked at a subgroup of 6,400 participants of a large study, called INVEST (International Verapamil SR-Trandolapril study).
奥运冠军迈克尔·菲尔普斯(巴尔的摩，马里兰州)和纳塔莉·考夫林(瓦列霍，加利福尼亚州)出席了会议，接受在美国游泳基金会的最高荣誉奖金眼镜今晚。
Olympic champions Michael Phelps (Baltimore, Md.) and Natalie Coughlin (Vallejo, Calif.) were in attendance to accept top honors tonight at the USA Swimming Foundation's Golden Goggle Awards.
奥运冠军迈克尔·菲尔普斯(巴尔的摩，马里兰州)和纳塔莉·考夫林(瓦列霍，加利福尼亚州)出席了会议，接受在美国游泳基金会的最高荣誉奖金眼镜今晚。
Olympic champions Michael Phelps (Baltimore, Md.) and Natalie Coughlin (Vallejo, Calif.) were in attendance to accept top honors tonight at the USA Swimming Foundation's Golden Goggle Awards.
应用推荐