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First, a series of liquid crystal polymers with different amounts of cholesterol mesogens and ferroelectric property are synthesized in this research. The structures of the compound synthesized are confirmed by IR and 1H-NMR spectroscopy. The thermal properties are characterized by DSC, POM. In this research, the 3-D molecular arrangement of molecular were measured by Polarization Modulation-Attenuated Total Reflection-Flourier Transform Infrared spectroscopy (PM-ATR-FTIR).

中文摘要本研究分成两个部分，第一部分为合成铁电性液晶及胆固醇液晶，以FTIR及 1H-NMR来鉴定化合物的结构，并以POM观察其液晶特有的光学纹路，用DSC来观察矽氧烷类液晶的液晶相的热转移温度并利用偏光-衰减全反射-傅立叶转换红外线光谱仪(Polarization Modulation-Attenuated Total Reflection – Flourier Transform Infrared)来探讨矽氧烷类液晶分子的三度空间排列。

In 1998, a new data analyzing method, Hilbert Huang Transform was developed by Norden E. Huang of NASA.

1998年，NASA的Norden E Huang提出了一种新的信号分析方法－Hilbert Huang Transform。

The noise frequency modulation signal was particularly analyzed. The Fokker-Planck equation of noise frequency modulation was presented and the Motion-Group Fourier Transform was used by converting the partial differential equation into the variable coefficient homogenous linear differential equations. Then the solutions were given by using the peano-baker series. So the probability density function of noise frequency modulation in the filter was given. On the basis of the probability density function the stochastic resonance of noise frequency modulation signal is analyzed.

首先建立了噪声调频干扰信号通过脉冲压缩雷达中频滤波器后所满足的福克尔－普朗克方程，然后利用群移傅立叶变换（Motion-Group Fourier Transform，MGFT）将此偏微分方程化成了变系数齐次线性微分方程组，并利用Peano-Baker级数法给出了该方程组的解，最后得到了噪声调频干扰信号通过脉冲压缩雷达中频滤波器后的概率密度函数，在此基础上研究了噪声调频干扰信号造成的随机共振现象。

It is a new method that calculates vertical second derivative of gravity anomalies based on discrete cosine transform.

基于离散余弦变换(DCT， Discrete Cosine Transform)的重力异常垂向二阶导数的计算方法，是笔者提出的新方法。

Combining with the signal modeling technique, a filtering method based on the Unscented Transform is proposed.

组合信号建模技术，提出了一种基于无先导变换(Unscented Transform， UT)的滤波方法。

3D Transform Manipulator ''': Is a visual aid in transforming objects.

3D变换操纵杆（3D Transform Manipulator）'''：是一个在变换3D模型时的辅助。

We obtain the eigenfunction through inverse transform,and select appropriate threshold to extract iso-surface.We append the weighted coefficients on sampling density for non-uniform sampling to further compute rational thresholds.

调用快速傅立叶变换FFTW(The Fastest Fourier Transform in the West)软件包，根据点的位置和法向量计算傅立叶系数，通过逆变换求出特征函数，选择合适的阈值提取表面的等值面，对于非均匀采样通过采样密度的加权系数进一步计算合理的阈值。

It indicates that simulation results by Z transform method are closer to analytical values than recursion convolution algorithm.

结果表明，Z变换算法的模拟结果比卷积分更接近理论值，标签时域有限差分 Z变换磁化等离子体反射系数透射系数 FDTD method Z transform Magnetized plasma Reflection coefficient Transmission coefficient

Here, a discrete wavelet transform is employed to extract unlearnable dynamics. While learnable dynamics is handled by ILC, unlearnable dynamics is regulated by feedback control. It will let ILC become more robust.

因此，在此将辅以离散小波转换(Discrete Wavelet Transform， DWT)以分离不可学习之成分，可学习之部分由学习控制处理，而不可学习之部分则以回授控制压抑之，使反覆学习控制更具强健性。

Usually Hough transform was used to detect lines, circles, ellipses, and hyperbolas in an image.

Hough transform 通常用来侦测影像中的直线、圆、椭圆、和双曲线。

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。