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Though comparing Canny operator and center B spline dyadic wavelet, the following conclusion is proven in this dissertation: a Center B spline function has tight support and Canny operator hasn't. b Center B spline function asymptotic convergence to Gaussian function and the derivative of Center B spline function asymptotic convergence to Canny operator. c The derivative of fourth order center spline B function is more suitable as a optimal edge detector than Canny operator. d Center B spline function can balance the smoothing and approximation of original data, and the fourth center B spline function is the only optimal solution of two order smoothing problem. e The error between the valve of time-frequency uncertainty of the fourth center B spline function and the lower bound of time-frequency uncertainty does not exceed 0.143% of the lower bound. f The derivative of center spline B function can construct a stability dyadic wavelet and can give a fast algorithm for multiscale edge detection, but Canny operator can do neither.

作者给出了Canny算子与中心B样条二进小波严格的比较证明，得出如下结论：a中心B样条函数具有紧支集，Canny算子不具有紧支集。b中心B样条函数的极限收敛于高斯函数，中心B样条函数的导数收敛于Canny算子。c四阶中心B样条函数的导数比Canny算子更接近最佳边缘检测滤波器。d中心B样条函数比高斯函数更能兼顾对原函数平滑和逼近的折中要求，并且四阶中心B样条函数是二阶逼近问题的唯一最优解。e四阶中心B样条函数的时频测不准关系值与时频测不准关系下界的逼近误差不超过0.143％。f中心B样条函数的导数可以构成稳定的二进小波，存在快速的多尺度算法；而Canny算子不构成稳定的二进小波，无法给出快速的多尺度算法。

This paper, considers conservative equation with periodic boundary value problem, and construct a difference scheme, Uses the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, proves that the scheme converges uniformly to the solution of differential equation with order one.

研究守恒型奇振动方程的周期边界问题，构造一个差分格式，利用分解解的奇性项的方法，结合问题的渐近展开，证明所构造的差分格式为一阶一致收敛。

In this paper the defect of the traditionary boundary layer methods (including the method of matched asymptotic expansions and the method of Visik-Lyusternik) is noted, from those methods we cannot construct the asymptotic expansion of boundary layer term really.

本文指出传统的边界层方法包括匹配法和Vi(？ik—Lyusternik方法的不足：不能作出边界层项的渐近展开式。提出多重尺度构造边界层项的方法，得到符合实情的结果。

By the method in this paper, for deciding the global asymptotic stability of the equilibrium point, it is not necessary to verify whether the equilibrium point is unique and to construct Liyapunov functions.

由于非线性电路的复杂性，目前适合于该问题的方法，主要是LIYAPUNOV直接[13] 。应用LIYAPUNOV直接法分析电路的平衡点全局渐进稳定性，有两个基本的问题难以解决。

By the method in this paper,for deciding the global asymptotic stability of the equilibrium point,it is not necessary to verify whether the equilibrium point is unique and to construct Liyapunov functions.

与目前该问题所采用的LIYAPUNOV直接法相比，该方法具有无须判断平衡点的唯一性，判别方程直接明了等优点，电路维数越大时，本文的方法越有其优势。

It is proved that, when the value of critical threshold less than 1, the disease free equilibrium point is globally asymptotically stable. Further more, Bursaphelenchtis Xylophilus is used to construct the Lyapunov function, and the stability theory of Lyapunov function is used to prove that the equilibrium point is Global asymptotic stable. It explains that the Bursaphelenchus Xylophilus wiil eventually disappear.

证明了当临界阈值小于1时，无病平衡点是局部渐近稳定的，进一步利用巴尔巴欣公式构造Lyapunov函数，运用Lyapunov稳定性理论证明了该平衡点的全局渐近稳定性，说明松材线虫病会最终消失；当临界阈值大于1时，病虫害平衡点是局部渐近稳定的。

A PD controller is used in the position loop to construct an asymptotically stable system.

为了确保系统实现渐近稳定过程，在位置回路中采用PD位置控制器的形式。

Therefore,in this thesis, by using of the Lyapunov function ,Lasalles in-variance principle and the analytical technique to construct return mappings[34-36],we describe some important properties of the dynamic behaviors of two class of discrete-time model of two-cell cellular neural networks ,which includes stability,asymptotic stability,the existence and attractability of periodic solutions.

因此，本学位论文利用Lyapunov函数和Lasalle不变集原理以及利用分析技巧构造回复映射等方法对两类二元离散细胞神经网络模型的动力学性态进行定性分析，讨论了这些模型的稳定性、渐近稳定性、周期解的存在吸引性，全文共分三章。

So, we combine CobraNet audio network technology, data transmitting technology, MCU technology and FPGA technology to develop interface and program of MCU, controlling PCB board, A/D converter PCB board, D/A converter PCB board, digital audio receive PCB board. At last, we construct a audio network and test it's performances.

本文紧密结合CobraNet 音频网络技术、数据传输技术、单片机技术和FPGA 技术，从事了单片机接口及控制程序设计、控制板设计、A/D 转换插卡设计、D/A 转换插卡设计、数字音频信号收发插卡设计，开发出了一系列音频网络设备，并组网测试。

Objective: To clone human augmenter of liver regeneration cDNA, construct the recombinant expression vector, express and purify its product.

目的 ：克隆人肝脏再生增强因子 c DNA，构建重组表达载体并对其诱导表达、纯化。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。