变换

All phase Walsh transform ; biorthogonal transform ; dual biorthogonal base vectors ; JPEG image compression algorithm ; discrete cosine transform; peak signal to noise ratio

全相位沃尔什变换；双正交变换；对偶双正交基向量； JPEG压缩编码算法；离散余弦变换；峰值信噪比

In order to overcome the aliasing phenomenon commonly existing in real contourlet transform image denoising, some characters of complex contourlet transform whose structure is a cascading of dual tree complex wavelet and directional filter banks are discussed. It is proved that the transform performs well at division and restraining ability under white Gaussian noise condition. Then, an image denoising algorithm was proposed based on the transform.

为了克服实轮廓波图像消噪后广泛存在的混叠现象，研究了基于双树复小波级联方向滤波器架构的复轮廓波变换图像消噪的若干性质，证明了对于高斯白噪声图像，该变换具有更好的分割能力和抑制能力，并在此基础上提出了一种基于该变换的图像消噪算法。

The topology of two-stage matrix converter given based on the concept of fictitious DC link of matrix converter and dual space vector modulation strategy of TSMC was studied.

在矩阵变换器虚拟直流环节的思想上，给出了双级矩阵变换器的电路拓扑，仿真研究了双级矩阵变换器的双空间矢量调制策略。

It has been proposed that the tools structure geometry can be obtained by geometry transformation of elementary wedge pattern Ⅰ,Ⅱ,Ⅲ, and the geometric transformation matrixes have been obtained.

指出楔横轧模具孔型图可以通过基本楔型Ⅰ、Ⅱ、Ⅲ的几何变换构造而成，并求出这些变换的变换矩阵。

In chapter 3,we study the Zakharov-Kuznetsov-Modified Equal-Width equation by employing the extended Jacobi elliptic function expansion method and obtain some new solutions of Jacobi elliptic function type of the ZK-MEW equation.;Secondly,using sn-cn method,we study K(m,n,1) equation and obtained some new exact solutions when k=s=3,especially obtained abundand solitary solutions and trigonometric function solutions when m→0 and m→1;In chapter 4,Painleve singular analysis was applied to nonlinear PDE with variable coefficients.

第四章将Painleve奇性分析方法应用到带阻尼项的变系数Burgers方程中，并得到了该类Burgers方程具有Painleve性质的条件，给出了该类Burgers方程的Backlund变换，用所得Backlund变换得到了若干精确孤立波解，包括奇异孤立波解，这些解不等同于行波型孤立波解；用齐次平衡法得到了对数型DBM方程的Backlund变换，并获得了DBM方程的各种孤立波解，包括尖峰孤立波解和奇异尖峰孤立波解。

When network system wase stabilized,the equivalent exchange conditions of T-п and voltage source-current source were demonstrated by concept of equivalent exchange and network theorem of stability.

当网络系统达到稳定时，根据网络等效变换的概念，应用网络稳定性原理推导出了T-п形和电压源—电流源的等效变换条件，此方法概念清晰，不仅适用于线性无源网络而且适应线性有源网络，可推广于其它两端、三端或多端线性网络变换。

The non-stationary index of automobiles\' supporting force response under side wind is analyzed, which confirms the reasonableness of stationary assumption in dynamic reliability analysis.Thirdly, joint distribution of wind speed and wind direction is established based on the extensive extreme value distribution, which is used for reliability analysis of bridge traffic safety.

其次提供了Fourier变换识别抖振响应频谱失真的实例，采用Hilbert-Huang变换分析桥梁抖振响应的时频特性，从结构动力学角度探讨了响应非平稳性的原因，从风工程的角度探讨HHT变换分量的物理意义，并分析侧风作用下桥上汽车支撑力响应的非平稳指标，为动力可靠度分析中平稳性假定的合理性提供必要的论证。

The crux of the program is Fresnel transformation in which an inverse discrete Fourier transformation is involved. In the calculation of the transformation, the standard algorithms for fast Fourier transformation can be applied to enhance the efficiency of the program.

Fresnel变换是该程序的核心，Fresnel变换中可以应用逆Fourier变换，计算中可以利用快速傅立叶算法提高程序的执行效率。

Number Theoretic Transform; Integer transform; Fermat number transforms; Discrete Image data

数论变换；整型变换； Fermat数变换；离散图象数据

The fictive motions are complex, so they are further analyzed according to their inner situations. It is found that the fictive motions are the metaphor of the factive motions.

现实位移类的"向+NP"在不同句法条件下的变换问题讨论了作状语和作补语的"向+NP"的变换问题，简要分析了变换的一些限制条件。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。