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The random system is reduced to its equivalent deterministic one by Chebyshev polynomial approximation, and the response of the stochastic system can be obtained by the deterministic methods.

首先用Chebyshev多项式逼近法将随机系统化成与其等价的确定性系统,然后通过等价确定性系统来探索随机Duffing-Van der pol系统的对称破裂分岔现象。

Periodic punctured binary complementary sequence pair set is proposed.

研究了其等价变换性质,及其与非周期屏蔽二元互补序列偶集的等价关系。

Once again we use a word to denote its equivalence class and write equality to express equivalence.

我们再一次用一个字来表示它所在的等价类,并用等号表示等价。

Classic rough set theory based on equivalence relation takes complete system as object of study , and divides the region into some non-intersect equivalence class; But, in the real life, because of the errors in data measuring, understanding of data, or the restriction in data collection , it can make the decision-making system incomplete, that is, value of attribution of some objects is unknown, which restrains development of the theory to practical direction.

经典粗糙集理论以完备系统为研究对象,以等价关系为基础,通过等价关系将论域划分为互不相交的等价类;然而,在现实生活中,由于数据测量的误差,对数据理解或获取的限制等原因,使得在知识获取时往往面临的是不完备系统,即可能存在部分对象的一些属性值未知的情况,这就极大地限制了粗糙集理论向实用化方向发展。

The idea of our algorithm is equivalence class classification for continuous time is constrained by a relation between the remaining delay time of triggering event and time value of DTA clocks or the remaining delay time of other events.

和同类算法相比,我们的算法用更广义的延迟时间等价类取代同类算法中受事件先后顺序约束的单元延迟时间等价类,并且不必生成那些仅仅因为时间流逝而产生的状态等价类。

The method evaluates relative similarity relation to each object to form initial equivalence relation,and the equivalence class is developed.

引入等价关系隶属度因子γ,用于度量等价关系间隶属关系,作为聚类过程一个有效参数,控制聚类的规模。

This paper suggests the equivalence problem of natural convection heat transfer with vertical lay up flat in encapsulation cavities and gives theoretical proof as well.

提出了在封闭空腔内竖直平板自然对流换热的等价问题,并在理论上对其加以证明,同时通过流动可视化实验定性地验证了上述等价问题。

Rough set theory is developed based on the notion of equivalence relation,but the property of equivalence has limited its application fields,which may not provide a realistic description of real-world relationships between elements.

粗糙集理论是建立在等价关系的基础上发展起来的,但等价关系性质的应用领域是有限的,等价关系不能对现实世界中的元素关系给出客观的描述。

In this paper, five equivalent conditions of the definition and five special nature of analytic function are given, and followed by their mutual equivalence of the proof , the relationship between the equivalent conditions and the nature of analytic functions is revealed, which can help us to learn the concept of complex variable function in deep depth and make analytic functions an important role in complex variable function.

本文依次给出了解析函数的五个等价条件及五个性质,并通过对它们相互等价性的证明,导出了解析函数等价条件与性质之间的关系,更加深入地揭示解析函数这一概念的内涵,展示出了解析函数在复变函数论学习中的重要性。

In the first part of the second chapter,we obtain a equivalent condition of the convolution closure of the extended long-tailed distributions,generalize and improve the corresponding results of Pakes(2004),and then receive a kind of equivalent conditions of convolution-equivalence distributions.In the last part of the second chapter,we prove these results.

本文第二章的前一部分得到了有关广义长尾分布的卷积封闭性的等价条件,推广和改进了Pakes(2004)的一个相应结果,进而得到一类卷积等价分布的等价条件;第二章的后一部分证明了这些结果。

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