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Research emphasis is put on thefollowing aspects:First,study of multiwavelet basis(e.g.periodic vector,interpolation vector,multi-dimensional vector)suitable for different practical demands.Second,from perspective of operatorapproximation order,study of normal function approximation operator,contrast and comparison ofwavelet operator and multiwavelet operator and their respective applicable fields.And further,onbasis of the above,exploration of approaches of multiwavelet analysis application in function spacetheoretical research,and higher-lever,more convenient approaches for multi-function spaceapproximation theoretical research.Third,by fully employing unique features of multiwavelet,research action of multiwavelet analysis in the construction of L〓space non-conditionalbasis.Fourth,research such as transient signal analysis,image edge extraction,datacompression,fractal signal analysis.

其一，研究适宜于不同实际问题需要的向量小波基（如周期向量小波、插值向量小波、高维向量小波等）；其二，从算子逼近阶的角度研究一般函数逼近算子、小波算子和向量小波算子的异同点以及较优适用领域；在此基础上，探索将向量小波分析应用于函数空间理论研究的途径，寻找更高层次、更便捷地研究多元函数空间逼近理论的方法；其三，充分利用向量小波所独具的完美性质，探索在〓空间〓无条件基的构造中，向量小波分析的价值；其四，对向量小波适用的信号瞬态分析、图像边缘分析、数据压缩保真、分形信号分析等领域应给予特别的重视。

In the forth chapter, by employing the comparison theorem in theory of difference equations together with pure analysis, we get sufficient conditions for permanence of a class of ratio-dependent discrete system.

第四章运用差分方程理论中的比较定理和纯分析的方法得到离散系统持久性的充分条件。

2By constructing a completely continuous operator in a functional space and employing the cone compression and expansion fixed point theorems, we obtain some sufficient conditions which guarantee the existence of positive periodic solutions for Eq.

通过在一个函数空间构造一个全连续算子，再利用锥压缩锥拉伸不动点定理，得到了一些保证方程(1)，(2)至少存在一个周期正解的充分条件，所得结论改进了文[1]和[6]中的结果。

After analyzing the characters of current hydraulic CAD, the method was put forward to use concurrent computer supported cooperative work to regulate hydraulic CAD, and to realize assistant graphics element drawing, principle drawing formation, data exchange, network communication and background data - base service by employing object - oriented technology, dialog box and control widget technology, input - output of graphics ＆ image and socket technology.

在分析当前液压CAD的特点之后，提出了用并行协同设计模式规划液压CAD，运用面向对象（object-oriented）技术、对话框和控件技术、数据库图库存储提取技术、导入导出图形图像技术和socket技术，具体实现了辅助图元绘制、原理图生成、数据交换、网络通讯和后台数据库服务各个功能，使液压系统计算机辅助设计得到进一步的完善。

Employing the finite difference calculus, the cavitation bubble pulsating performance with the change of liquid viscosity, gas content, surface tension and condensability is obtained.

在系统地研究固壁面附近空泡溃灭过程的基础上，提出并研究了射流阈值、空泡在第一次和第二次脉动过程衰减蚀除机理以及空泡溃灭周期延长因子等问题。

Employing the finite difference calculus, the cavitation bubble pulsating performance with the change of liquid viscosity, gas content, surface tension and condensability is obtained. In the experiment research, the detailed processes of capitation bubble oscillation property and bubble collapse are gained by the fiber-optical detection sensor. Furthermore, th...

本文研究结果既可避免激光等离子体冲击波和空化带来的危害，也为合理利用激光等离子体冲击波和空化现象提供理论和实验依据，可供激光加工、激光医疗、水下激光加工和相关流体力学的研究参考。

The fundamental principles underlying the concept of electronic beam steering are derived from electromagnetic radiation theory employing constructive and destructive interference.

电子波束控制的基本原理来自于电磁场理论的相干作用。

It proposed a hybrid state based control method for stabilizing an unstable periodic orbit by controlling controllable continuous limit processign time, referring to the geometrical property of the system behavior and employing sliding-mode approach.

提出了三个Buffers切换到达系统不稳定周期轨道的一种基于混合状态的镇定控制方法。

In this dissertation, we study some fundamental issues on whether there exists arbitrage in the complicated finical market by employing no-arbitrage approach, optimization theory and convex analysis, and establish some ar-birage pricing model.

本文应用金融学的无套利分析方法并结合优化理论和凸分析等数学工具，研究复杂多变的金融市场中是否存在套利等基本问题，建立了一些新的套利定价模型。

In order to simplify the mechanical structure of the plane displacement measurement system and reduce the cost of it,this paper introduces a measurement of plane displacement system based on suppositional coordinate axis by employing optical HDNS2000 chip.

为了简化目前平面位移测量装置复杂的机械结构、降低装置的成本，文中利用HDNS2000芯片设计了一种基于虚轴的平面位移测量装置。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了