查询词典 discrete category

We will strictly derive the discrete Zak transform in more general conditions and establish the relationship between the continuous and the discrete Zak transform.

一、首次给出了一般条件下的离散Zak变换及性质。本文对一般条件下的离散Zak变换进行了严格的推导，并给出了连续Zak变换和离散Zak变换的关系。

This paper researches the wavelet transform of discrete-time sequences basing on dendriform filer banks in the signal processing field, analyses the theory and design method of two channel conjugate quadrature mirror filter banks and fast implement of discrete orthogonal wavelet transform and generation of orthogonal wavelets, and points out the internal relationship between them.

笔者从信号处理的角度研究了离散时间序列的小波变换利用树状滤波器组实现的方法，分析了两通道共轭正交镜象滤波器组理论及滤波器设计，离散时间序列的正交小波变换的快速实现以及正交小波的构造，指出了其内在联系，最后举例说明了正交小波变换通过共轭正交镜象滤波器组来实现信号分解和重构的全过程。

For fast orthogonal transformation algorithm, the paper carries out detailed research and analysis. In terms of many transform coding, it put forward these four rapid transformation algorithms which are Discrete Cosine Transform, Discrete Fourier Transform, Harr Transform, Walsh-Handmaid Transform, and analysis of these fast algorithms in image compression applications.

对于正交变换的快速算法本文进行了详细的研究与分析，并根据各种变换编码，提出了离散余弦变换、离散傅立叶变换、Harr变换、Walsh-Hadamard变换这四种变换的快速算法，并分析了这些快速算法在图象压缩中的应用。

Considering the technical requirements,the stability andthe steady performance,the quantitative requirement for sampling frequency is present indiscrete control system.Considering that there is a step delay in discrete control in grid on inverter with a Lfilter,the quantitative relationship between critical FCCR and sampling frequency isanalyzed,and the steady performance is analyzed.Considering the technical requirements,the stability and the steady performance,the quantitative requirement for samplingfrequency is present in discrete control system with a step delay.

在L型并电加热管网中，考虑到离散化控制存在滞后一拍的问题时，本文分析并获得了离散PI控制系统稳定范围时闭环根临界频率fnmax和采样频率fs之间的定量关系；针对存在滞后一拍可能引起系统稳态特性下降的问题，分析了PI控制滞后一拍对频域特性造成的影响，综合考虑并网指标、稳定性要求和离散化对稳态特性影响三个主要因素，推导了存在滞后一拍的离散化PI控制对最低采样频率的量化要求。

Insection 4.3, semi-discrete and fully discrete Fourier spectral and pseudo-spectral schemes are constructed. The convergence and stability for the schemes are proved, and the error estimates are obtained.Chapter 5, consider the damped coupled generalized nonlinear wave equations. In section 5.2, by coupled a priori estimates and Galerkin method, prove the existence and uniqueness of the global smooth solution for the periodic initial value problem and obtain the existence of global attractors.

第四章，考虑一类具耗散的广义KdV方程组的周期初值问题，在第二节中证明了整体光滑解的存在性和唯一性，得到整体吸引子；在第三节中构造了半离散和全离散的Fourier谱格式和拟谱格式，在整体光滑解存在的条件下，证明了这些格式解的收敛性，并得到了误差估计。

The result is discrete amount of detail levels, from which the name Discrete LoD.

这样做的结果是将大量的细节从名为Discrete LoD的层中分离出来。

The numerical results show that our method is effective. For the noncharacteristic Cauchy problem for 2-D and 3-D heat equation, we give the explicit H\"{o}lder type stability estimates by using weighted energy method. Especially,H\"{o}lder type stability estimate for discrete solutions of the heat equation is obtained through a fully discrete method. The numerical results are presented.

对于二维和三维的热传导方程的非特征Cauchy 问题，我们利用权函数方法，给出了一个显式的H\&{o}lder 型的稳定性估计，特别的，对于二维的非特征Cauchy问题，我们利用充分离散的方法，对二维问题的离散形式同样给出了H\&{o}lder 型的稳定性估计，同时，我们也给出了数值例子来说明我们的估计。

Discrete point data can be applied with other GIS data to address some specific questions in our researches. But how to spatialize the discrete point data has been a question itself.

5离散点数据的连续空间化问题一直是将某些社会经济离散点数据与其他地理空间数据相结合，应用于各项实际研究的瓶颈问题。

The unfeasibility of discrete event driven simulation for high-speed network is discussed; two simulation algorithm based on time driven simulation are given, one of which is as precise as that based on discrete event simulation, but is faster, and the other gets less precision, but is much faster than the former. Comparing with the algorithm based on time driven fluid simulation, both of the proposed algorithms support the succeeding simulation for high-level protocol.

其中一种算法在精度上与离散事件驱动仿真算法一致，但仿真速度明显加快，另一种算法存在一定的仿真误差，但仿真速度要高得多；与时间驱动的流体仿真相比，这两种方法都是针对离散系统的仿真，能提供对上层协议仿真的支持。

The time interval between two discrete instants is taken to be sufficiently short so that the data for the time between these discrete instants can be approximated by simple interpolation.

两个离散时刻之间的时间间隔应取得足够短，时刻之间的时间间隔应取得足够短，以使这些离散时刻之间的数据可以用简单的插值法来近似。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。