离散序列

Taking discrete Fourier series and Fourier Transform of periodic sequence as an example,this paper expounds how to simplify those abstruse theory by using straightforward mathematical knowledge which students are well-informed.

本文以周期序列的离散傅立叶级数和傅立叶变换的推导为例，就教师如何用简单的或学生所熟悉的数学知识，进行深入浅出的教学进行了探讨。

In chapter 2 the strong deviation theorems for functions of series of discrete random variables are given. Here we construct a moment generating function and a convergent martingale .

本文第二章用矩母函数构造一收敛鞅，利用截尾法和单调函数的性质，证明了离散型随机变量序列泛函的强偏差定理。

This paper emploies a collection of discrete and limit topological events which simulates topological changes of Delaunay diagrams,the dual graph of Voronoi diagrams,to realize maintaining Voronoi diagrams of moving points.

通过一组离散的，有限的事件序列对其对偶图Delaunay图拓扑改变过程的模拟来实现对移动点Voronoi图拓扑结构的维护。

According to the Takens embedding theorem, the nonlinear time series combined with system output is converted into discrete dynamic system.

摘要对模型未知非线性系统，将系统输出组成时间序列并通过空间嵌入的方法转化为一个离散动态系统。

Based on the coupled discrete tent spatiotemporal chaotic maps, a cryptographic Hashing function is constructed to generate 128-bit Hash value from a message with arbitrary length.

与帐篷映射相比，该方案所采用的离散耦合帐篷时空混沌模型避免了有限精度实现产生的短周期行为，产生的时间序列近似服从均匀分布，具有更为理想的扩散与混乱特性。

In order to investigate the variation of controllability and observability affected by network scheduling,the model of scheduling for Networked Control System is established,which has communication constraint on its input and output channel.Utilizing communication sequence to express the scheduling of channel,the model can be transformed into discrete-time switch system.Under static scheduling,using the theory of recursive invariant subspace and its character,a necessary and sufficient condition of NC...

为了研究网络调度对能控性与能观性的影响，对输入、输出通道都存在通信约束的网络控制系统的调度进行建模；利用通信序列表示通道的调度情况，最终将模型转化为离散切换系统；在静态调度下，利用循环不变子空间理论及其相关的性质，给出了网络控制系统能控性、能观性成立的充要条件，并给出了原有控制系统与经网络静态调度后的系统之间能控性、能观性的关系；最后用仿真实例说明了所提结论的正确性。

The basical ideas, arithmatic methods and applied conditions of reduction of partial least squares and discrete wavelet transformation, logitboost, random forests and fuzzy kendal discriminate analysis of microarray gene expression data, ordinal discriminate analysis of time series multivariate data and varied-coefficient-logistic-regression-model discriminate analysis of the data with varied regular pattern in itself.

本文对医学领域中判别分析方法的新进展做一综述，介绍了微阵列基因表达数据判别分析中偏最小二乘法降维、离散小波变换法降维、logitboost算法、随机森林、模糊核判别分析以及时间序列多元数据有序判别分析法、自身有变化规律数据的变系数logistic回归模型判别分析法的基本思想、算法和适用条件。

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。

Based on the analysis of the necessary condition for OWT,using the cascade algorithm and 2D separable wavelet transform scheme,discrete approximation sequence of scaling and wavelet functions was computed for optical implementation.

通过对光学小波变换的必要条件进行分析，采用层叠算法和二维可分离小波变换构造方法计算出了尺度和小波函数的二维离散近似序列。

It is indicated by the performance analysis that the approach here has comparative bias and variance as the approach of discrete prolate spheroidal sequence multitaper spectral analysis.

性能分析的结果表明，此方法与离散长球序列多窗口谱分析方法具有相当的估计偏差与方差性能。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。