变换

By taking advantage of a corollary of the Desargues theorem and the corresponging extension of Desarguesian configuration, the concept of stereohomology has been defined in projective geometry and presented based on homogeneous coordinates. Consequently, a series of geometrical transformations, such as central projection, parallel projection, centrosymmetry, translation transformation, reflection, rotation transformation, which can be contained in it or derived from it have also been analytically defined.

利用Desargues定理的一个推论和引申的Desargues图形，给出"空间透射"在射影几何意义下基于齐次坐标表象的解析定义，从而解析定义了可蕴涵其中的中心投影、平行投影、中心对称、平移、反射等几何变换以及可由此衍生出的旋转变换。

In chapter I, we introduce the Jordan-Wigner transformation in detail, and illustrate its applications with three examples: the one-dimensional S = 1 XXZ model; the bilinear-biquadratic SU(2) invariant S = 1 chain; and the ionic Hubbard chain in the strong coupling limit. In chapter II, we review the S = 1/2 transverse Ising chain in detail.

在变换后发现隐藏在自旋为1的系统里自旋为1/2的SU(2)对称性及广义的U(1)规范对称性；(3)通过将推广的强耦合极限下的一维离子型Hubbard 模型变换为SU(3)反铁磁Heisenberg 模型，严格论证了离子型Hubbard 模型从能带绝缘体到莫特绝缘体的转变区域中自发二聚化绝缘体铁电性相即键序波相的存在。

This is based on the feature of changelessness of the intensity contour in the Fourier spectrum plane while object plane is moved in Fourier transform system.

根据傅里叶变换系统中物面平移其频谱面上光强分布不变的特点，提出一种利用二次傅里叶变换实现CCD精密定焦的方法。

Through the experimental data processing, the curve of the transfer characteristic and the relationship equation are gained in this paper.

由测量数据拟合出了球形探头在工频电场和冲击电场作用下的变换特性曲线，得到了探头变换特性的关系式。

Transforming functions are similar to logarithm, sigmoid, arctangent, etc, not depended on a prior knowledge of characteristic exponent, and facilitative for practice application.

变换函数可以是对数型、Sigmoid型、反正切型等，这些变换函数不依赖于对特征指数α的先验知识的了解或估计，便于工程应用。

In this paper, We firstly present a nonuniform sampling DCT method based on the relationship of Chebyshev polynomial interpolation and DCT, in which, the sampling points are chosen as zeros of Nth degree Chebyshev polynomials of the first kind.

文章首先利用Chebyshev多项式插值与DCT变换之间的相互关系，提出了基于第一类Chebyshev多项式的第N次多项式的零点作为非均匀取样点的DCT变换方法。

This paper presents a new method for color image compression coding by using chromatism analysis and wavelet transform. In the method ,one of the three color components of a color image for example the G (component of a RGB color image is coded using wavelet transform ,and the chromatism between G and other two color componets RG, BG is coded respectively using chromatism analysis.

提出一种应用色差分析和小波变换对彩色图像进行压缩编码的新方法，该法是对彩色图像的三个色彩分量之一，如RGB图像的G进行小波变换编码，而对G与另外两个色彩分量的差值（RG和BG进行色差分析编码。

Colour print quality must be able to truly render color;" and " dividers " the subtraction principle " is chromatology on two large scale systems, how to use the colour of the light source system accurately converted to ink-jet or business card printing and membership card production system is a very complex subject, but practically color accurately converted to win real high quality results.

不不不黑白列印品格务必要能诞妄不天表示色彩；"增法道理"与"加法道理"是色彩教上两不小编制，如何不兵平源编制的色彩大略不天变换为喷墨或是制卡和会员卡制息的编制是不入格驳杂的教问，但是，唯有不兵色彩大略不天变换，才能得回诞妄高品格的成果。

The electrochemical impedance spectroscopy features and the resistance to corrosion of an epoxy coating containing the pigment of zinc chrome yellow have been studied with the aid of EIS and Fourier transform infrared spectroscopy analysis.

运用电化学阻抗谱和Fourier变换红外光谱研究了经过不同老化温度和老化时间处理的含锌铬黄防锈颜料的环氧酯漆在3.5％NaCl溶液中的阻抗谱特征，根据Fourier变换红外光谱和电化学阻抗谱中第二个时间常数出现的快慢及高频收缩情况来判断涂层的耐蚀性能，进而筛选老化工艺。

In this paper a new method named Circle Diagram Analysis is presented which could be used as a practical analytical tool between DFT and FFT, and makes the above mentioned analyses more concise.

本文提出的圆图分析法可作为离散型富氏变换与快速富氏变换之间的一个实用分析工具，且分析简明扼要。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。