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Firstly, we get the necessary and sufficient conditions for Toeplitz operators that commutes with another such operator whose symbol is a monomial, meanwhile, we completely characterize when the mellin transform of the bounded function on the interval 0,1 is a rational function.

首先得到了以有界函数为符号的Toeplitz算子和以单项式函数为符号的Toeplitz算子可交换的充要条件，同时给出了0，1区间上的有界函数的Mellin变换为有理函数的充要条件。

In this project, we firstly dealt with the existence and multiplicity of periodic solutions and boundedness of solutions of Duffing equations.

一方面，本项目研究了Duffing方程周期解的存在性、多解性及解的有界性。

The main jobs of this dissertation are as following: Chapter one firstly describes the essential of collision detection problem, according which most the collision detection algorithms were classified into seven categories. Then a survey on hierarchy bounding volume, surface simplification and the particle swarm optimization is presented, which is the basis of the new frameworks.

本文的主要工作为：第一章概述了碰撞检测问题，把目前的碰撞检测算法分为八大类，主要介绍了与本文算法相关的层次包围盒技术和基于随机方法的碰撞检测技术，并详述了作为BASIC-PSO碰撞检测算法基础的粒子群优化搜索技术。

This dissertation discusses the anisotropic behavior of soft clay and its effect on the deformation of excavations based on the study of other researchers. The main achievements of this thesis are as follows: 1 Firstly, an anisotropic bounding surface constitutive model(Wei, 2005) is recommended, secondly, the deformation of triaxial compression tests and triaxial extension tests under condition of isotropic consolidation is analyzed qualitatively.

基于此，本文在前人研究的基础上，探讨了土体的初始各向异性以及应力诱发各向异性对基坑开挖变形的影响，取得了如下研究成果： 1、利用魏星(2005)提出的各向异性弹塑性本构模型，分析了具有初始各向异性土样在等向固结三轴压缩和拉伸试验中的变形特性。

Firstly, we analysis the principle of fluorescence emitting. Secondly we design a signal detection system based on digital BOXCAR, considering with the feature of the fluorescence signal and the noise background.

首先分析了荧光信号产生的机理，在此基础上考虑到荧光信号十分微弱的特点和在强噪声背景环境下检测，设计了基于数字BOXCAR的信号检测系统。

So, upgrade of current business supporting system is very urgent. This dissertation firstly introduces the characteristic of 3G service, and analyses the 3G technology"s effect to support system. Then, we analyses China Unicom Anhui brach"s business support system. At last, the dissertation made the detail dissection and design to each key unit of business support system.

本文从3G的业务特点入手，分析了3G技术对支撑系统所产生的各种影响，结合目前安徽联通的业务支撑系统的现状分析，对业务支撑系统的各个重点单元综合计费营帐系统、CRM系统、经营分析系统、合作伙伴关系管理系统、综合结算系统、综合采集系统做了具体的分析和初步的设计。

A lot of brachiopod and mollusk fossils,including 12 species of 8 genera of brachiopod,14 species of 8 genera of bivalve and 5 species of 4 genera of gasteropod,are collected from the marl and mudstone situated on the bottom of Benxi Formation in Liujiang basin.The mollusk fossils are directly preserved in the upper part or facies change bed of brachiopod fossil bed.Up to now, the materials is firstly reported,especially the mollusk.

柳江盆地本溪组底部泥灰岩及相邻泥岩中产有丰富的腕足动物、软体动物化石，经鉴定有腕足动物10属12种，双壳类8属14种和腹足类4属5种，软体动物保存于含腕足动物层的相变岩层或直接位于其上层，到目前为止，这一丰富材料尚属首次综合报道。

Firstly this article analyzes the nature of obligatory character provision.Then brachylogy class is made according to the intent of obligatory character provision.In the end,on the base of class ahead,this article distinguishes different mandatory inte...

首先对强制性法条的性质进行了界定，继而依据强制性规定的目的，对现有强制性规定作出简明分类，最后在前一分类的基础上，区分不同的强制目的确定干预私法行为的方法。

The elementary principle of the method is to get out acoustic information from acoustic solid medium firstly through Bragg diffraction ,and then to measure the difference of deflection angular from reference beam of light.

该方法的核心是通过声光布喇格作用，把SAW陀螺效应引起的声速变化信息寄载到布喇格衍射光中，通过检测布喇格衍射角度推算出固体介质的旋转角速度。

Firstly, the paper introduces the principle of the Aircraft Tyre Wheel and Brake Test Dynamometer, the structure of the GEC electrical...

本文先介绍了刹车试验台的原理、GEC电气柜的结构和对GEC柜改造的内容和要求。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。