不变性

Compared with the traditional discrete wavelet transform, the dual tree complex wavelet transform has the properties of approximate shift invariance and more directionality. These properties are good for tracing, locating and preserving image features.

与常用的离散小波变换相比，该方法具有逼近的平移不变性和更多的方向选择性，有利于特征的跟踪、定位和保留。

In this paper, a speckle reduction method for Synthetic Aperture Radar images based on Dual Tree Complex Wavelet Transform is proposed, for the DTCWT has approximate shift-invariant and good directional selectivity.

利用双树复数小波变换(Dud Tree Complex Wavelet Transform， DTCWT)的近似平移不变性和多方向选择性，提出了一种基于DTCWT变换的SAR图像嗓声抑制方法。

Introduction.We present study history of the invariant theory in linear dual system and the operator series theory.

第一章 绪论：介绍了线性对偶系统中不变性理论和算子级数理论。

The Eastern Eucharistic offices of whatever rite are marked by the invariability of the priest's part.

东圣办事处的任何标记仪式由不变性神父的一部分。

In the paper, it designs compensator to eliminate infaust influence, which applies principle of structure fixity.

文中应用了结构不变性原理设计了补偿器，以消除这些不利因素的影响。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

实验表明：基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小，它既能去除奇异点，又能保持图像中目标的边缘不变性，具有很好的滤波效果。

Going on forward, he wanted to pass through the whole grove reaching a fountainhead near a mountain

关于物理定律不变性的这一影响深远的假设，是相对论的一个基石。

A set of complex Morlet wavelet are applied on projection slice of each direction to decompose each projection into several frequency channels,the average and variance extracted are computed in each frequency channel,and then linear regression model is employed to computer realationship feature between frequency channels.1-D DFT is applied to features and the amplitudes of Fourier coefficient are selected as features,then the extracted features are rotation invariant.

该算法是将一定大小的图像进行二维傅里叶变换；其次在变换后的图像中央选择一个圆盘区域，并在方向［0°，180°］内进行等间隔角度频率抽样，实现方向分解，使用一组复Morlet小波对每个方向上的映射切片进行小波变换，从而实现多通道频率分解；在各个频率通道中计算均值和方差作为特征，并利用线性回归模型计算频率通道之间的关系特征；将特征沿方向进行一维傅里叶变换并取其幅值，从而得到旋转不变性特征。

From probability consideration, the curing theory of A〓+A〓-type and A〓+ B〓-type polymerization involving initiation stepis proposed. The sol-gel distribution equations which can describethe behaviour of the conversions in the curing process are givenand the gelation condition, the number fractional distribution andits invariant property are obtained.

针对含引发机制的〓型和〓型缩聚反应体系的固化问题，利用概率分析的方法进行了系统的理论研究，给出了这两类反应体系的溶胶凝胶分配方程，从而揭示了体系在固化过程中的变化规律，得到了这两类反应体系的凝胶化条件、数量分布函数及其不变性。

Lastly,Using the extension theory of〓-algebras founded and developed by Brown-Douglas-Fillmore in 70s,inparticular,using the homotopy invariance of the extensions and the indexformule of Toeplitz operator matrices,the paper characterized the automorphismgroup of the continuous function symbol Toeplitz 〓-algebra in terms of thetopological degrees of the continuous mappings on the n-dimensional sphere.

最后，本文利用Brown-Douglas-Fillmore在七十年代建立并发展起来的C*-代数扩张理论，尤其是扩张的同伦不变性，以及Toeplitz算子矩阵的指标公式，通过球面上连续映射的拓扑度，刻划了高维球面Hardy空间上连续符号Toeplitz 〓代数的自同构群。

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。