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Preliminaries: An introduction to the basic ingredients of the algebraic system, such as sets and mappings of these sets.
预备知识：介绍代数系的基本要素，即集合，集合的映照。
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In Chapter 1, a brief reviews of bifurcation theories and chaos theory for flows and maps are presented.
第一章是关于动力系统的局部分支与混沌的预备知识。简要地介绍连续动力系统和离散动力系统的各种局部分支理论，同时对混沌的一些定义、特征及相关的判别方法也给出简要的介绍。
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The existence of positive solutions for singular fourth order three-point boundary value problem was investigated.
1引言及预备知识二阶三点边值问题的研究是一个很重要的领域，最近几年的研究也很多。
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The first one introduces the background and our aim and investigation method with respect to fractional Brownian motion.
第一章给出了本文的研究背景及研究对象和目的，第二章给出了一些预备知识，包括分数布朗运动的随机积分，分数O-U过程中的参数估计以及大偏差原理。
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This article is divided into three parts:I: It gives the relevant background knowledge, mainly about the study of circulant matrices at home and abroad, the basic concepts, characteristics of circulant matrices, and the basic computing instruments which have been frequently used in matrix theory and matrix calculations.
本文共分三个部分：一：给出相关的预备知识，主要是循环矩阵研究的国内外现状和进展、文中用到的循环矩阵的基本概念、性质以及在矩阵理论和矩阵计算中经常用到基本运算工具。
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The existence of the optimal control for the system is demonstrated via compactness theorem and prior estimates.
根据预备知识，利用紧性定理和先验估计，证明了系统最优控制的存在性。
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In chapter two,we find a completely continuous operator,the original operator equation is transformed a fixed point problem.
在第一章中，我们给出本文要用到的一些预备知识和本文的主要结果。
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The first part is the preparatory knowledge, introducing the contracting mapping principle which through the basis of vector and matrix norm, derivative and differential theorem of mean to thorough understanding the nature of soluble for nonlinear equations.
第一部分为预备知识，重点介绍压缩映象原理。通过引入向量与矩阵范数，导数与微分中值定理，以求深入理解非线性方程组可解性的基本理论。
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In order to discuss questions conveniently we give some basic knowledge in the first chapter of this article.
本文的第一章给出了将要讨论解法问题所需要的部分预备知识。
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Content: In this paper, we investgated the type of two kinds of random Dirichlet series and the order and the type of two kinds of B-valued random Dirichlet series by use the methods of complex analysis, probability and random series.
本文运用复分析、概率论及随机级数的知识与研究方法，研究了两类随机Dirichlet级数的型和两类B-值随机Dirichlet级数的级和型，全文共分三个部分：第一章：简单介绍本研究方向的发展历史，研究现状以及一些必要的预备知识及其记号。
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Board of Examiners：考试委员会
预备考试(MCQ)通过后的5年内须参加最终考试(临床考试);临床考试参加2次均未通过,如再想参加须得到考试委员会(Board of Examiners)的许可,证明参考人的兽医知识和经验都有了提高.