数学基础

Based on some existing works, this thesis is devoted to the study of globalsynchronization for several delayed complex dynamical networks by means of Lya-punov functional, linear matrix inequality and some other skills. some su?cientconditions are obtained to guarantee the synchronization of the considered systems.

本学位论文在现有文献的基础上，通过构造不同的Lyapunov泛函，运用线性矩阵不等式，和一些数学分析方法技巧，分析讨论了几类耦合时滞神经网络模型的全局同步性质，得到了其全局同步的几个判断准则。

In this paper the basic structure and working principle of VFT are presented and a mathematical model of VFT is built, and the functional relation between the transmission power and driving torque of VFT are derived. On this basis, the control strategy and the thinking of its simulation are proposed.

文章简要介绍了VFT的基本结构和工作原理，建立了VFT的数学模型，推导了VFT传输功率与驱动转矩之间的函数关系，在此基础上提出了VFT的控制策略和数字仿真思路。

Based on the adaptive interference canceling theory and the concept of space vector, an adaptive fundamental positive/negative sequence component and harmonic component detecting method is developed.

浙江人学博t学位论义摘要以HVDC－VSC的暂态数学模型为基础，建立了HVDC－VSC的等效仿真模型。

Try to demonstrate in terms of economy that it is these factors and the game players' pursuit of maximizing their profit determine the structure of the mixed ownership of an enterprise, determine the distribution of the enterprise surplus among the participating parties and the effort level of the participants, and further determine the efficiency of the enterprise.

本论文研究的意义在于：通过企业混合所有权概念的建立，将股东、债权人、管理者、员工及政府都纳入到了企业的博弈分析，在此基础上，构建起混合所有权下企业博弈的理论分析框架及相关的数学模型，给出一个更为一般的企业博弈研究。

The underlying concepts are based on differential geometry and theory of Lie groups in the mathematical aspect, and on transformation symmetries and gauge theory in the physical aspect.

基础的概念在数学方面基于不同谎话组的几何学和理论，并且关于在物理方面的转变对称性和计量器理论。

Based on the fundamental theory of impulsive differential systems, employing Green formula, Gauss divergence theorem, Jensen inequality and Gronwall-Bellman inequality with impulse, we discuss the oscillation of impulsive partial differential systems by adopting reduction to absurdity and the stability in via of comparison theorem, respectively. Especially, we take an in-depth study on the oscillation of neutral impulsive parabolic systems and the stability of a class of nonlinear impulsive partial differential equations and obtain some useful conclusions.

本学位论文以脉冲微分系统基本理论为基础，利用反证法的分析方法和比较定理，结合Green公式、Gauss散度定理、Jensen不等式、含脉冲的Gronwall-Bellman不等式以及相关数学工具研究了脉冲偏微分系统的振动理论和稳定性理论，特别对中立型脉冲时滞抛物系统的振动性和一类非线性脉冲偏微分系统的稳定性作了较为深入的研究，给出了一些有用的结论。

Based on data,aims to set up the mathematical model of the working practice of the cutter gear used on the coal mining machine working in coal layers and the force bearing of the pick-shaped cutter gear.

以试验数据为基础，对采煤机镐形截齿实际工况的煤层和镐形截齿受力建立数学模型；对镐形齿受力进行计算机模拟，且模拟的曲线反映截齿随不同参数的变化。

A mathematical model of data information fusion using wavelet analysis in gearbox vibration signals is explored in this paper.

在数字信号处理的过程中，以小波分析技术为基础建立了多通道信息融合的数学模型。

In mathematics, it can be boiled down to two equivalent forms of a kind of classical solutions to the general Navier-Stokes Equation of velocity fluctuations.

从数学而言，这一框架的理论基础可归结为描述不可压缩脉动场的Navier-Stokes方程的两个等价形式。

Finally it mathematically calculates the CRC at bit and byte level and deducts a 16-bit CRC. The calculation and deduction consolidate the CRC theory. Chapter three also introduces the modulation by two, CRC polynomial, reflection polynomial applied in noise environment and the relationship between reflection polynomial and general polynomial.

第三章首先阐述了循环冗余码与循环码的关系——循环冗余码是一种短循环码、循环冗余码具有所有循环码的很多性质；然后，简单介绍循环冗余码的编码、译码原理和实现；最后，从普通数学的角度，分别用按比特、按字节求解CRC，详细推导了校验码宽度为16的CRC的理论过程，进一步为循环冗余码的研究提供有力的理论基础。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。