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It is found and emphasized in the paper that the complete form of differential and integral characteristic theorem automatically incorporates the shift properties in both the frequency and time domains, as well as other important properties of Fourier transform, and so it plays an important role in Fourier transform.

并强调了完整形式的微积特性定理自动地包括了Fourier变换的"频移特性"、"时延特性"等其它的重要特性，因此它在Fourier变换中具有基本的重要意义。关键词：Fourier变换微积特性，Fourier变换的极限定义式，冲激型广义函数，频移特性等

Length of Fourier transform is connected with curve resolution. Curve resolution is lower, window length of Fourier transform is narrower.

为截取最强地层响应信号，选取Fourier变换窗函数，窗长与曲线原始分辨率有关，分辨率越低的曲线窗长越大。

The book is divided into 14 chapters, including Introduction, continuous control system theory, process and discrete sampling, Z transform, sampled-data systems, discrete approximation of continuous system the equivalent, based on mathematical transform the classical design method, based on state space pole placement design methodology, multi-variable system of quadratic optimal control, quantitative effects, the choice of sampling period, the digital control system modeling, digital control system for a variety of design methods, variables quadratic optimal control systems, sampling cycle of selection, non-linear control of the problem, as well as digital control system, a typical application - Disk drive servo control design.

全书共分14章，内容包括概论、连续控制系统理论、采样过程和离散化、Z变换、采样数据系统、连续系统的近似离散等效、基于数学变换的经典设计方法、基于状态空间的极点配置设计方法、多变量系统的二次型最优控制、量化效应、采样周期的选择、数字控制系统的建模问题、数字控制系统的各种设计方法、变量系统的二次型最优控制、采样周期的选择、非线性控制的有关问题，以及数字控制系统的一个典型应用——磁盘驱动器的伺服控制设计等。

Time domain signal is continuous signal, with continuous time Fourier transform as discrete signals, discrete-time Fourier transform.

当时域信号为连续信号时，用连续时间傅里叶变换；为离散信号时，用离散时间傅里叶变换。

After analyzing the limitation of slow convergence in adaptive Least Mean Square algorithm, it is brought forward the method of transforming signal into frequency domain, taking advantage of the orthogonality of discrete Fourier transform, the adaptive LMS filter is performed for each frequency element in transform domain.

四川大学博士学位论文在频域自适应滤波的基础上，提出了一种权值反馈方法抑制图像传输中的多个大功率平稳强窄带干扰信号，不仅能加快算法的收敛性能，并具有良好的滤波效果。

Convex body; star body; cross i-section; Firey projection; Radon transform; Fourier transform of distribution; generalized intersection body; dual mixed volume; embedding in L_p

基础科学，数学，几何、拓扑凸体；星体； i-维中心截面； Radon变换；分布的Fourier变换；广义截面体；对偶混合体积；等距嵌入L_p

According to induced response method, the expression in frequency domain of pressure response at the end of pipeline is derived using impulse response method and convolution theorem. The expression indicates that that transfer function is only related to the characteristics of pipeline system and the Fourier transform of flow variable only depends on the operating characteristics, and the pressure response in frequency domain is linear with the Fourier transform of flow variable.

基于激励响应法，应用脉冲响应方法和卷积定理得出了管道末端压力响应在频域中的表达式，此式表明：传递函数只与系统的特性相关，流量变量的傅立叶变换只与操作特性相关，且压力频域响应与流量变量的傅立叶变换为线形关系，根据此式在理论上能够得到管道泄漏点的重要信息。

In this paper a method based on discrete wavelet transform and discrete cosine transform is presented to compress color image.

中文摘要：本文给出了一种基于离散小波变换和离散余弦变换的彩色图像压缩方法。

Prepared by the images of discrete cosine transform and wavelet transform the source code can run.

Visual C++编写的图像的离散余弦变换和小波变换的源代码，可直接运行。

A digital watermarking algorithm is proposed based on Discrete Cosine Transform and Arnold transform.

提出一种基于离散余弦变换和Arnold变换的数字水印算法。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。