等价的

A complete series of the piecewise algebraic curve consists of all effective ordinary cycles in an equivalence class {A} and all effective singular cycles which are equivalent specifically to cycle A.

分片代数曲线的完全列是由所有属于同一等价类的有效正常循环以及所有与它特等价的有效奇异循环构成。

The scoring criterion of learning chain graphs induced by the evaluating criterion is score equivalent, so it is appropriate to search among equivalence classes of chain graphs.

这个原则具有得分等价性，即等价的链图有相同的得分，这样我们就可以使用搜索+得分的模型学习方法进行链图的学习。

Based on the analysis of interactions between different systems in the network, it is proved that, for a class of complicated linear switched system network, an equivalent model of ordinary linear switched system exists and the corresponding model is given.(4) Block simulation model of linear switched system is established in Matlab/Simulink environment and, moreover, a linear switched system simulation tool with the function of model automatic generation is developed. With the aid of this simulation tool, influence caused by switching sets on stability characteristic of linear switched system is investigated.

对线性切换系统网络中各系统之间的交互作用作了分析，在此基础上证明了一类复杂线性切换系统网络可用等价的线性切换系统模型来表示，并得到了该等价模型；（4）在Matlab/Simulink环境下建立了线性切换系统的框图仿真模型，并进一步开发了具备模型自动生成功能的线性切换系统仿真工具。

In the last section of this chapter, we discuss the relation between flow equivalence and continuous flow equivalence for flows on a compact metric space.

在本章的最后，我们讨论了一般紧致度量空间上的流的流等价与连续流等价的关系。

Further some equivalent conditions for a trivial algebra are given, and that the mapping which maps the subset of the universal to the maximal congruence that saturates the subset being a -homomorphism, being order preserving, being constant mapping, the algebra being trivial are equivalent is proved.

最后利用该同余给出了关于平凡代数的几个等价条件，证明了泛代数的子集到渗透该集的最大同余的映射为保序映射、该映射为-同态、该泛代数平凡等是等价的。

Because the hardware and software may be implemented quickly if wechoose proper normal bases to represent finite fields. In this paper, we first introducesome basic definitions and facts on normal bases over finite fields, then extend theseresults to any Galois extension fields.

在这篇文章中，我们先介绍了有限域上的一些基本定义及关于正规基的相关结论，进而将域扩张到一般的伽罗瓦扩域中，得到了伽罗瓦扩域中正规基与其对偶基等价的充分必要条件，从而将有限域上正规基的等价条件推广到任意伽罗瓦扩域上。

In allusion to Funar Conjecture :"If a random triangle lies in a closed unit square,then its inscribed circle s radius,r≤(5-1)/4",an equivalent minimum problem about a function of 2-variables is studied;the stagnation point and its value,value on the boundary of the function of 2-variables are studied,the equivalent problem is proved correct,so the Funar Conjecture is proved correct.

针对Funar猜想："设任意三角形位于闭单位正方形内，则该三角形的内切圆半径，r≤(5-1)/4"，研究了与其等价的某二元函数的最小值问题；利用对此二元函数驻点及其取值、边界取值讨论，证明了等价问题成立，进而此Funar猜想得证。

In this paper,we show firstly the equivalence of Maskin monotonicity and strategy-proofness on the single peakedness preference domain ,and furthermore that of Maskin monotonicity and coalitional strategy-proofness.

本文证明了在单峰偏好域上Maskin单调性与防策略条件是等价的，并进一步证明了Maskin单调性与联盟防策略是等价的。

In this paper the equivalent of the various topologies on the closed setlattice of a topological space is investigated a sufficient and necessary condition for their equivalent is given.

本文对拓扑空间闭集格上的各种拓扑的等价性进行了研究，得到了它们等价的一个充分必要条件

In this paper the equivalent of the various topologies on the closed setlattice of a topological space is investigated a sufficient and necessary condition for theirequivalent is given.

本文对拓扑空间闭集格上的各种拓扑的等价性进行了研究，得到了它们等价的一个充分必要条件

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失