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A path in a directed graph that begins and ends at the same node is called a cycle.

网络中起点与终点重合的通路叫做圈。

Then there is human jealousy, which often ends with disasterous results.

其次是人类的嫉妒，这往往结束的灾难性后果。

In order to make a living, he had to stay up late and do moonlighting to make ends meet, after working for a decade on end, he ultimately saved 100,000rmb , which still cannot afford a single flat, dispiritedly he resorted to stock market to try his fortune.

因为在一些原则问题上有过妥协，立场不坚定，另外还在全球过暖和环保等问题上起过哄，这些都是保守人士所反感。

The displacer piston does not extract any power from the expanding gas but only serves to shuttle the working gas back and forth between the hot and cold ends.

该位移活塞不会从不断扩大的气体中提取任何权力，但只是为了往来的热点和冷端的工作气体来回。

These economic ends are efficiency and competition; they do not directly involve distributive issues.

这些经济上的目的指的是效率和竞争，而没有直接涉及分配问题。

As the days went by, other dogs came, in crates and at the ends of ropes, some docilely, and some raging and roaring as he had come; and, one and all, he watched them pass under the domination of the man in the red sweater.

日子一天天过去，其他的狗也被关在笼子里或用绳拴着接踵而至。有的很温顺，有的则像他来时那样，狂叫怒吼。

If the dollar sign ends a regular expression, the expression is matched only at the end of a line.

如果美元符号在正则表达式末出现，该表达式只会在遇到行末的时候出现。

The story ends with a dollop of sarcasm.

这个故事的结尾充满了讽刺的味道。

The first part presents develops of predator-prey systems and gives the model that is investigated in our paper; Chapter 2 presents the results on boundedness of solutions and permanence of system; In chapter 3, we explicitly derive a domain of attraction for the positive equilibrium of system by using Liapunov method; The local stability and the conditions that Hopf bifurcation occurs are obtained in chapter 4; In chapter 5, some explicit fomulae of the direction of Hopf bifurcation and the stability of bifurcating periodic solutions on the center manifold are determined,using normal form and center manifold introduced by Hassard et al; In chapter 6, some numerical simulations are performed to illustrate the analytical results found; Our paper ends with a brief conclusion.

全文共分七章，第1章对捕食-食饵系统的发展背景做了介绍并给出了本文研究的模型；第2章讨论了系统的保持性和解的有界性；第3章研究正平衡点的全局性质，对正平衡点的吸引域进行了精确估计；第4章研究了系统的正平衡点的局部稳定性和Hopf分支存在的条件；第5章利用规范型和中心流形定理得到了一个决定Hopf分支方向、分支周期解的稳定性及其他性质的精确公式；第6章对一个具体模型进行了数值模拟；第7章对全文进行了总结。

Donovan has taken my concept and used it for his own ends.

达纳文用我的技术去实现他自己的野心

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。