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Three, or even more, discrete sources can be utilized, and each discrete source may also have a distinct form structure so that the variable data indicia and variable database indicia are each placed in their own distinct form structure.

可以有三个或更多个独立来源，每个独立来源都有不同的格式形式，可以将可变的数据的文字说明和可变的数据库文字说明分别放置在各自不同的格式形式中。

This method transforms the discrete problem to continuous function space and convert the inner product computation problem in Hilbert space into function evaluation problem in some discrete points.

该方法将离散的问题影射到连续函数空间中进行处理，同时将Hilbert空间中的内积计算问题转化为函数在离散点的取值问题。

With the definition of discrete local minimal solution of an integer programming problem,this paper presents a neighbourhood search algorithm for finding a discrete local minimal solution of the problem.

首先，给出整数规划问题的离散局部极小解的定义，并设计找离散局部极小解的邻域搜索算法。其次，构造整数规划问题的填充函数算法。

Firstly, the recent developments in controllability and observability for switched system are reviewed. Secondly, by means of properties of invariant subspace, the controllability for switched systems with continuous-time and discrete-time subsystems, and a class of discrete impulsive switched systems is respectively investigated. Some sufficient and necessary conditions of controllability are proved. In the end, some simple criterions for controllability and observability of switched symmetric composite systems are set up.

首先介绍了切换系统能控性与能观性方面的一些重要结论；其次，用不变子空间的性质分别研究了同时含有连续子系统和离散子系统的切换系统和一类离散脉冲切换系统的能控性，建立了相应的充分性与必要性判别准则；最后，研究了切换对称组合系统的能控性与能观性，得到了此系统能控性与能观性的简单判据。

This procedure according to the formula to achieve the inverse discrete cosine transform, you can write your own validation of discrete cosine transform is correct, understanding the formula help.

详细说明：这个程序根据公式实现了离散余弦逆变换，可以验证自己编写的离散余弦变换是否正确，对理解公式有帮助。

MDCT (Modified Discrete Cosine Transform) and IMDCT (Inverse Modified Discrete Cosine Transform) are two of the most complex computation modules.

改进离散余弦变换与其反变换是当今主流音频压缩标准中普遍采用的时频变换单元，也是计算量最密集的模块之一。

In every period, do the following operations:# For each 8*8 block, do the discrete cosine transform, then take out direct current coefficient in each block, using the transformation above for each DC coefficient, the gold stands for the code of the spread-spectrum we use when embedding the different watermark bit in different frames, after all of the watermark information which we want to embed is embedded, then do the inverse discrete cosine transformation, and store the current frame in a new file.

于是利用DCT变换域的这点重要的几何不变性，我们可以推导出一种能够抵抗几何攻击的视频水印算法，即将所需要嵌入的水印信息以127位扩频序列作为辅助，以求和值形式嵌入到DCT变换后的每个宏块的每个DC系数当中，具体嵌入和提取算法如下：根据使用的扩频序列的长度N，基于相关的嵌入器需要选取包含N帧的视频子序列，令这N帧视频子序列作为一个嵌入周期，对于每N帧视频子序列做如下的操作，#即对于每个8×8的像素块进行DCT变换，然后取出每个DCT变换后的直流分量，对于每个DC系数，做如上所述的变换，其中gold为在第k帧中嵌入第i位水印信息时使用的扩频码字值，待将所有需要嵌入的水印信息全部嵌入后，再做反DCT变换，保存当前帧。

In the method the discrete cosine transform DCT is first applied to noisy facial images to remove its high frequency component noise, the removed noisy face images can be obtain through performing inverse discrete cosine transform. Then the two dimensional principal component analysis (2DPCA) is exploited to the removed noisy face images to obtain a set of eigenvectors that have larger correspondent eigenvalues, and the features of images with lower information dimensions are extracted to get fast recognition speed.

这方法首先对具杂讯脸部影像进行离散余弦转换去除高频杂讯，取得低频影像以降低高频杂讯干扰，然后再对低频影像以二维主分量分析(2DPCA)撷取前几个较高特徵值所对应的一组特徵向量，以降维与资讯集中达到快速辨识的目的。

The digital signal method is a discrete deconvolution technology.It uses the shape-factor to create the forward equation of subdivision interpretation,and the discrete signal anti-filtering technology to get the inversion equation and the general formula for numerical solution of quantitative radionuclide content.

本文提出的数字信号法是一种离散反褶积法，它采用形态系数创建分层解释正演方程，利用离散信号反滤波技术求得反演方程及定量核素含量的数值解通式。

Lastly, this paper discussed the invertibility of discrete nonlinear systems and the construction of ANN α-th order time-delay inverse system for the linearization and decoupling of discrete nonlinear system is proposed.

从逆系统理论的完整性出发，本文探讨了离散非线性系统的可逆性，并给出具有线性化和解耦能力的神经网络α阶时延逆系统的结构及其实现。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。