有限基

Like Fourier analysis, any function with finite energy can be expanded on the orthonormal wavelet bases.

与Fourier分析方法一样，任意的能量有限函数可以用小波正交基展开。

This paper provides the analytic method to calculate the value of Green s functions in space domain at the zero distance by the discrete complex image theory,that is ,to express the finite progressional sum of Green.

对此，本文在讨论采用离散复镜象理论计算空间域Green函数时，提出了采用该镜象理论计算空间域Green函数零距离处奇异值的解析方法，即，采用Taylor公式展开镜象理论得到的空间域Green函数的有限级数和形式，并结合特定的分域基函数来得到零距离处Green函数奇异值的解析计算式进行计算。

Based on a kind of orthogonal complete functions in L2[0,1], another one (called V-system) which has equivalence relation with U-system is created. It is a kind of new and effective mathematical tool on signal multi-resolution analysis. Besides that V-system keeps the favorable properties of U-system and can accurately reconstruct geometry information which expressed in piecewise polynomials by finite sum of functions in V-system, it has more special properties, such as simple construction, abundant levels, convenience of application, quick calculation, local support, and so on. V-system is the generalization of Haar orthogonal functions, and to be a class of wavelet base. It has a good future for some applications in the fields of wavelet analysis and signal processing.

从L2[0，1]空间的一类正交完备函数系U系统出发，构造了另一类与之等价的正交完备函数系，称之为V系统，它是信号多分辨分析方面的一种新型的、有效的数学工具。V系统不仅保持了U系统的优良特性，对多项式表达的几何信息能够做到有限项精确重构，并且较之U系统，它更有结构简单、层次分明、计算快捷、局部支集等特点，应用起来将更加灵活方便。V系统可以看作是Haar函数系的推广，是一类小波基，在某些数字信号处理及小波分析问题中有良好的应用前景。

This paper provides the analytic method to calculate the value of Green"s functions in space domain at the zero distance by the discrete complex image theory,that is ,to express the finite progressional sum of Green"s functions detained with DCIT into Taylor expansion and deduce the analytic expression of the singularities at the zero distance with the help of the specific subdomain base functions.

对此，本文在讨论采用离散复镜象理论计算空间域Green函数时，提出了采用该镜象理论计算空间域Green函数零距离处奇异值的解析方法，即，采用Taylor公式展开镜象理论得到的空间域Green函数的有限级数和形式，并结合特定的分域基函数来得到零距离处Green函数奇异值的解析计算式进行计算。

It analysed the principle of Reed-Solomon encode, the design of basic unit circuit, including Galois field adder and multiplier, and addressed the application method of parallel multiplier with constant coefficients under the natural base.

分析了RS码的编码原理，基本单元电路设计，包括有限域加法器和乘法器，并着重阐述了自然基下常系数并行来法器的实现方法。

This paper analysis the elliptic curves operation rules,presents a high speed serial-parallel elliptic curve multiplier for the Galois field GF(2^N) which based on optimal normal basis, compares the ECC chip speed and hardware resource consuming induced by the different Field partition.

本文分析了GF(2^N)域上的椭圆曲线的运算法则，提出了一种串－并行结构的基于优化正规基的高速有限域运算单元，比较了域划分D对芯片实现速度和硬件资源占用的影响，完成了域GF(2^N)上基于ONB的ECC芯片快速实现。

The definition of Wavelet Analysis is that shifting the mother wavelet e.g. which has limited energy, such as shifting for, then proceeding dimensions, we obtained wavelet basis function ,, which make the inside product to the function to analysis With the Fourier transformation to the and, then the equivalent frequency spectrum of wavelet transformation can be expressed as where 、 are the transformations of 、 respectively and i is an imaginary number unit.

小波变换的含义是：把一具有有限能量的母小波，如进行移位后，再进行尺度的伸缩得到小波基函数为然后与待分析的函数作内积，即对和作Fourier变换后，可得到小波变换的等效频域表示为：其中、分别是、的Fourier变换，i为虚数单位。

The isoscalar giant monopole resonance for finite nuclei and the nuclear matter incompressibility are studied in a consistent relativistic approach, which achieves a great success in describing the properties of nuclear ground states.

采用近来在研究核基态中极为成功的相对论模型研究有限核的同位旋巨单极共振，从而给出核物质的不可压缩性系数。

Thirdly,as the basic study for UWB radiating and scattering,this paper improves simulation of near to far field transformation technology based upon Kirchhoff Integral in Finite Difference Time Domain.

作为分析超宽带信号辐射与散射的基础，本文改进了时域有限差分方法中基于基尔霍夫积分的近远场变换技术，它的优点在于实现简单，降低了存储内存要求，既能计算远区场又能计算近区场，计算结果表明这种变换方法非常有效。

But Kidder will not be CEO of the new entity, which will be called Chrysler Group LLC.

但是基德尔不会总裁的新的实体，这将是所谓的克莱斯勒集团有限责任公司。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。