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We have also compared the 3D images before and after the treatment to investigate the change of facial soft tissue.

口腔正畸领域中，形态学的研究具有十分重要的意义，许多年以来，正畸治疗中的诊断分析、治疗计划制定和效果评价都是借助面

In this thesis, we use the Min-Max criterion and Parks-McClellan algorithm to design this optimal approximation error of spectrum. Moreover, we give constraint of this optimal spectrum to get the positive spectrum. Then the positive spectrum can be factored by Spectrum Factorization Theorem and can be realized by FIR system.

我们利用最小化最大误差指标，及Parks-McClellan演算法，设计出具有最佳误差的频谱，并对此频谱做限制式上的处理，来得到正数列频谱，并将所得到之正数列频谱利用分解理论做分解，并以FIR系统实现之。

Applying this transformation once, we can make the degree of the first r rows of the polyphase matrix decrease one order, and avoid decreasing the degree row by row as the traditional methods. This method is not restricted by the length of the filter, and needn't factorize the polyphase matrix into a special form.

本文对紧支撑小波构造方面的一些问题进行了探讨和研究，得到一系列有意义的结果，主要包括：在一元小波构造方面，给出由m-带紧支撑正交插值尺度函数显式构造相应正交小波符号函数的公式，这部分内容在第2章中给出。

In view of the coefficients of CDF9/7 wavelet filter are irrational number, we use the trigonometric function transform to factorize the perfect restruction and the biorthogonal conditions of biorthogonal wavelets filter banks, then optimize the coefficients of the original 9/7 wavelet filter banks, consequently a novel 9/7 wavelet filter banks with binary digit coefficients can be obtained.

2针对CDF9／7小波系数为无理数的缺点，对CDF9／7小波滤波器组的完全重构条件和双正交条件进行三角基函数变换和因式分解，并对求出的小波滤波器系数进行优化设计，得到一组滤波器系数都为二进制分数的9／7双正交小波滤波器组，大大降低了离散小波变换的算法复杂度。

I want to quote from a Tang Dynasty poem to describe what is happening in China," From shore to shore it is wide at high tide, and before fair wind a sail is lifting ."

用一句唐诗表述当今中国："潮平两岸阔，风正一帆悬。"中国的命运正掌握在中国人自己的手中，我们充满信心。

The results show that the microscopical pore structure of the three dimensional orthogonal woven carbon fabric structure perform is composed of body-centered cubes which arranged periodically at spaces. The net structure and shape of the pores of perform are determined by the size and proration of the fasciculus diameter, which are key factors influencing the gaseous permeability and final density of composites. Once the proration of the fasciculus diameters of different directions is determined, the trend of diversification of the permeability followed by pore rate during CVI process and the density of composites are stated, and the permeability increases with the increase of the fasciculus diameter.

研究结果表明：三维正交结构炭纤维预制体的宏观孔隙结构在空间上可以看成是由呈周期性排列的体心立方"晶胞"构成； X ， Y 和 Z 3个方向纤维束直径大小及比例关系决定三维正交结构炭纤维预制体宏观孔隙网络的结构和形状，也是决定反应气体在孔隙中的比渗透率和复合材料最终致密度的重要因素；当 X ， Y 和 Z 3个方向纤维束直径的比例关系一定时，不同预制体在CVI增密过程中比渗透率随孔隙率变化的趋势相同；复合材料的最终致密度一定；比渗透率随纤维束直径增大而略有增大。

In 2000, F. LUCA proved that Fermat number are anti-sociable numbers, and in 2005, M. H. LE proved all powers of 2 are anti-sociable numbers. We have used the method of M. H. LE to obtain some new results of the anti-sociable numbers. For every integer n containing prime divisors that are 1 mod 4, let p mod 4 be an arbitrary prime divisor of n. There is at least one anti-sociable number in n^2, p^2n^2, p^4n^2, and p^6n^2. Therefore we can prove that anti-sociable numbers have positive density in perfect square numbers. We also give a method to find the exact anti-sociable numbers.

LUCA证明了Fermat数都是孤立数；2005年，乐茂华教授证明了2的方幂都是孤立数，用乐茂华教授的方法给出孤立数的一些新的结果：对于任意含有4w+1型素因子的正整数n，设p为n的任意一个4w+1型素因子，则在n^2，p^2n^2，p^4n^2，p^6n^2里至少有一个是孤立数，因此可以证明孤立数在完全平方数里有正密度，另外也给出求解确定孤立数的方法。

To this end, we systematically investigate the some properties of m-band compactly supported orthogonal multiwavelets system related to each type symmetric center filter.

从一个给定的具有对称性质的m带紧支撑正交多尺度函数出发，欲构造也具有对称性质的m带紧支撑正交多小波，可转化为对给定矩阵的对称仿酉扩充问题。

A series of orthogonal finite element function is presented by group method and finite element method.

正交函数由于其相互正交使得计算量大大地减少，历来为人们所关注，在连续函数中有著名的调和函数，离散分析中有正弦变换和。。。

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。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。