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The smooth condition for discrete series is studied, and some mistakes about the white exponential law is pointed out. The author proposes the modified condition of white exponential law which makes the data to apply the GM model.

研究了灰色系统理论中的关于离散数列的"光滑性条件"，指出其原有的"白指数律条件"的局限性，提出了新的修正型白指数律的条件，从而为数据应用灰色系统模型提供了检验方法。

By applying the proposed control law to discrete-time variable structure control systems, the stability of origin and steady of systems are better than the exponential rate reaching law and proportional-constant-variable rate reaching law.

应用该趋近设计变结构控制系统，其原点的稳定性和系统的平稳性都优於指数趋近律和比例－等速－变速趋近律。

This method employs the exponential pulse time series as input to excite CFD model, which can provide slick aerodynamic forces acting on the body through CFD simulation, Then discrete time aerodynamic models, defined among interesting range of frequency, can be trained based on the CFD input output relationship, those models can he implemented thereafter to simulate aerodynamic response for simple-harmonic input of displacement with suitable frequency.

该方法采用具有连续频谱分布且位移光滑的指数脉冲序列为CFD模型运动的输入，通过数值模拟得到作用在模型上的气动力。利用已知的输入和气动力建立起反映系统气动力特征的离散时间气动模型。

In order to avoid the singularity in the integration, the integrand was expressed to be sum of complex exponential terms by using discrete complex image method. With generalized pencil of function method introduced, the number, location and intensity of images were obtained without extracting the quasi-static and surface wave terms in the integrand, which makes DCIM more efficient for multi-layered media.

为了避免积分中的奇异性，利用离散复镜像法将积分核用复镜像的指数求和式表示，引入广义函数束方法，可以在不提取积分核中表面波项的条件下，采用数值方法提取准静态项，给出复镜像点的数目、位置和强度，使得该方法在多层介质情况下对格林函数的计算更为有效。

A dynamic secret sharing scheme based on discrete logarithms and factorization is proposed in this paper.

摘要该文提出了一个安全性基于离散对数与因子分解的动态秘密分享方案。

It is difficult to use the traditional sequential discrete event simulation method to describe the natural feature of parallel system--parallel, thus the simulation efficiency is low and the result of the simulation lacks factuality and reliability.

传统的串行离散事件模拟理论与方法难以描述并行系统并行性这一本质特征，从而导致模拟效率低，模拟结果缺乏一定的真实性和可靠性。

The two numerical methods to solve PRISM integral equations are introduced based on the Discrete Fourier Transformation and Fast Fourier Transformation.

详细介绍了用离散Fourier变换和快速Fourier变换求解PRISM积分方程的两种数值计算方法。

First, the replacement of the traditional fast Fourier transformation with discrete cosine transformation in additive white Gaussian noise channel to set up OFDM system is analyzed and simulated in this article.

首先，在加性白高斯噪声信道中，本文分析和仿真了用离散余弦变换替代传统的快速傅立叶变换宋实现OFDM系统。

The crux of the program is Fresnel transformation in which an inverse discrete Fourier transformation is involved. In the calculation of the transformation, the standard algorithms for fast Fourier transformation can be applied to enhance the efficiency of the program.

Fresnel变换是该程序的核心，Fresnel变换中可以应用逆Fourier变换，计算中可以利用快速傅立叶算法提高程序的执行效率。

A training data consists of a discrete design point and whether this design point is feasible or infeasible.

接著搜寻演算法於类神经网路模拟的可行区域中寻找出一最佳设计点。

I was up all night because I was in pain, she said.

我整夜，因为我在疼痛，她说。

A crow caws /craoks.

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