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To begin with, the smoothing effect of error which is decomposed into orthogonal vectors in grid function space is analyzed. The error-reducing effect in orthogonal subspace which is developed from high frequencies and low frequencies component has been analyzed.

将协调有限元空间分解成高频子空间与低频子空间的直和，从而将误差的衰减变化转化为考虑高、低频子空间上的误差的高频与低频分量的衰减变化。

The every frame image was transformed by dyadic discrete wavelet and the characteristic of wavelet transform coefficient was analyzed. Low frequency coefficients were analyzed by fast principal component method which quoted Gram-Schmidt orthonormalization procedure in fixed-point algorithm then distilled principal component and reconstructed the low frequency coefficients. To suppress image noise, the high frequency coefficients were equated to zero.

该算法对热图像序列中的每帧图像进行二进制离散小波变换，提取出低频部分的系数；对低频系数进行改进PCA分析，通过固定点算法并引入Gram-Schmidt正交化过程求解特征向量；令高频系数为零，抑制图像的噪声。

Methods We analyzed the expression of IGF-Ⅰ and IGF-IR in 40 paired samples of tumor-free tissues and carcinomatous gastric tissues by immunohistochemistry. The relationship of expression of IGF-Ⅰ and IGF-IR with various clinicopathological parameters were analyzed.

应用免疫组化方法检测40例原发性胃癌组织及其远端正常胃黏膜中IGF-Ⅰ和IGF-IR的表达，并分析其表达与胃癌病理分级、临床分期、淋巴结转移、肿瘤侵袭深度的关系。

The characteristics of parallel various image edge detection methods are analyzed experimentally. The advantages, disadvantages and the scope of these methods in application are also analyzed.

本文围绕基于灰度图像的边缘检测技术做了如下工作： 1、对经典的边缘检测方法及各种改进技术进行了归纳、总结，详细介绍了其数学机理，并通过实验对各种方法的特点进行了分析，指出了各种方法优点和不足，以及它们各自的适用范围。

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。

The main spatial and temporal distribution features of pentad precipitation in rainy season from 1991 to 2000 over Yunnan Province (84 stations) are analyzed by means of the principal component analysis method. The features of lowfrequency fluctuation are analyzed by the noninteger technique of power spectrum. The relation between lowfrequency fluctuation and El Nino and precipitation in rainy reason of Yunnan Province are studied.

应用主分量方法分析了云南省84站1991～2000年雨季(5～10月)逐候降水量的主要时空特征，并用非整波技术分析了所提取的第1，第2主分量频谱分布的低频振荡特点，同时分析了低频振荡现象与El Nino事件及云南雨季降水多，少之间的关系。

The bias of cyclic periodogram with ssinc window is analyzed in both spectrum frequency direction and cycle frequency direction, and that the TA cyclic spectrum estimation is unbiased is analyzed. The average method of cyclic periodogram is also derived in terms of STFT.

论文中通过分析加ssinc窗的循环周期图在谱频率方向和循环频率方向的偏差，表明TA循环谱估计是无偏估计，并根据STFT方法，推导了使方差得以减小的平均循环周期图方法。

Meanwhile the linear operational mode and nonlinear operational mode of PCSS are analyzed In chapter 3, after simulating time-space distribution of electron and hole in photoconductor,the relations of laser energy,laser character and photoconduction are analyzed and the fundamental principles of nonlinear phenomenon is introduced.

在第三章中，通过研究各种重要的复合机制，漂移和扩散作用等对光导开关光电导响应的影响，建立了线性模式下的瞬态响应模型，模拟得到光导开关输出电脉冲特性曲线。

In this paper , this type of lace were particularly analyzed, including ground texture knitted by ground-bar and jacquard-bar, and pattern texture consisting of heavy pattern ,shadow pattern, liners, picot, corde. Besides, the hiberarchy was also analyzed.

本文详尽分析了这类花边织物，包括由地梳和贾卡梳编织形成的地组织，由主体花纹、阴影花纹、轮廓线、花环、加固花环组成的花纹组织，还分析了花边的层次结构。

Firstly, the basic character of the remote filed eddy current is simulated and analyzed in case of two-dimension axial symmetry which approves the existence of remote filed eddy current phenomenon; the full circumferential defect model is investigated to approve the feasibility of using the RFEC techniques to detect the position and depth of defect; the pit corrosion、circumferential and axial crack models are simulated, and the defect character based on voltage plane polar plot and the changes of phase and amplitude are analyzed to supply the standard for defect reconfiguration.

首先，在二维轴对称情况下仿真与分析了远场涡流的基本特性，证实了远场涡流现象的存在；对全周向缺陷的远场涡流检测进行了详细研究，证实了远场涡流检测缺陷位置和深度的可行性；对点状腐蚀、轴向与周向裂纹三种非轴对称缺陷进行三维有限元仿真，利用相位差和幅值变化曲线与电压平面极坐标图对缺陷特征进行分析，为缺陷形状重构提供了依据。

Through comparing with the results by simulation to study the effects of theprojectile"s final velocity, the angle of rotation and the ballistic trajectory"s migration withdifferent projectile"s rotating speeds, different target"s moving speeds and differentpenetration angles.

通过比较数值模拟的结果来研究不同弹头转速、目标速度、侵彻角对侵彻过程中弹头最终速度、翻转角度和弹道偏移的影响。

I love stationery and all the accoutrement of writing.

我爱文具以及所有的书写的工具装备。