Semi-group structure 、 Delphic property and denseness of Delayed Renewal Sequence are also presented in the dissertation. Secondly, we study ε-Regenerative Phenomena through p-a sequence.

The existence of a tensor product is proved in the left quasi-normal band category, and the relationship with the tensor product in the semi-group category is provided.

证明左拟正规带范畴中张量积的存在性，并证明了它与半群张量积的关系，同时给出半格在左拟正规带范畴中张量积与在半格范畴中张量积之间的关系。

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At the same time, the thesis describes also the abstract description on the connection among frameworks, sets mappings between frameworks to form a Semi-group homomorphism.

同时给出了框架间关联关系的抽象描述方法，在框架间建立映射，形成半群同态。

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Based on the number set, a new commutative semi-group is established in the integer number and extended in number fields of rational number, real number and the complex number.

在数集的基础上，在整数域上建立了一个新的交换半群，并在有理数域、实数域和复数域上进行了推广；

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And then based on some properties of Metzler matrix, the positive definite problem of delay Volterra integro-differential equation is discussed in intensity continuous semi-group.

然后，利用Metzler矩阵的一些性质在强连续半群上讨论时滞Volterra积分微分方程的正定性问题。

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By using the important theorem of the Sobolev space ( embedding theorem) and the standard semi-group theory, local existence of the mild solution is proved.

从Sobolev空间的重要定理&嵌入定理入手，利用半群理论证明了mild解的局部存在性。

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The squeezing property of the nonlinear semi-group associated with this equation and the existence of exponential attractor are proved in the paper.

证明了该方程有关的非线形半群的挤压性质和指数吸引子的存在性。

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An Expression of Commutative Semi-group Element

一个交换半群的元素的表示形式

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The Properties of Rough Ideals in a Semi-Group

半群上的粗糙理想的性质

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The Semi-group Theory of Self-similar Random Variables

自相似随机变最的半群理论

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Semi-group theory in particle physics

粒子物理学中的半群理论

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The Invariant Measure and Ergodic Property of a Markov Semi-Group

马尔可夫半群的不变测度与遍历性

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From the semi-group theory different Identity-Based conference key distribution methods for all kinds of communication networks are studied in this paper.

本文从近世代数中的半群理论观点出发，对利用身份证在环型、星型和全联通型的通信网中，实现密钥分配的方法进行了较全面的研究。

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Using their one-way and semi-group properties on the finite fields, a novel session key agreement algorithm is presented.

利用有限域上Chebyshev多项式的单向性和半群特性，构造了一种新的会话密钥协商算法。

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The Application of Graph Theory to a Commutative Semi-group

图论在交换半群上的应用

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The key step in this methodology is to explore the semi-group structure in the system under consideration.

这些方法的关键是要发现对象体系中的半群结构。

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In addition, the semi-group theory is also useful application. Also described in other areas of functional analysis applications.

此外，半群理论也很有应用价值.还阐述了泛函分析在其他领域中的应用。

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Renormalization semi-group symmetry in quantum field of strong interaction at short distance

强相互作用短距离量子场的重整化半群对称性

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In this paper the semi-group concept in functional analysis is expounded by examples.

本文通过实例给出泛函分析中半群的概念。

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The local Place de la R é publique, for decades a big roundabout with a dirty old statue of Marianne, symbol of the republic, was Paris's drabbest square.

几十年来，当地的共和国广场（Place de la République）是一个大型环岛，矗立着脏脏的法兰西共和国象征玛丽安娜（Marianne）的旧雕像，是巴黎最没有生气的广场。

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Rising from a little cabin boy in short clothes of the drabbest drab, to a harpooneer in a broad shad-bellied waistcoat;

从一个穿着深棕色的短打的船长小厮出身，做到穿着袒开肚皮的大坎肩的标枪手；

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