维数

Firstly, we establish a topological space associated to the derived category of a finite dimensional algebra with finite global dimension, which is a generalization of module variety and complex variety.

首先，我们在有限整体维数的代数的复形范畴上建立了复形拓扑空间。

In Chapter 4 we study the asymptotic behavior of solution for the weakly dampednonlinear Schrodinger equation in a bounded domain 〓.

第五章研究具有几乎周期外力的非自治Ginzburg-Landau方程的吸引子及其维数。

By the method in this paper,for deciding the global asymptotic stability of the equilibrium point,it is not necessary to verify whether the equilibrium point is unique and to construct Liyapunov functions.

与目前该问题所采用的LIYAPUNOV直接法相比，该方法具有无须判断平衡点的唯一性，判别方程直接明了等优点，电路维数越大时，本文的方法越有其优势。

An augmented matrix is therefore given, of which the number of dimensions is determined by adding the observed data for l time past together, and the forecast data after augmentation are taken as the input variables in BP neural network. Then, a forecasting model is developed on the basis of DPCA-BP neural network, with its architecture described.

通过计算前l时刻数据确定增广矩阵的维数，并把得到增广后的预测数据作为BP神经网络的输入变量，建立了基于DPCA-BP神经网络的预测模型，给出了模型结构。

Using SUSAN formed SIFT and ladder-image pyramid structure to achieve the same scale,new algorithm establish a unified set of over-determined equations of all match points.The over-determined linear equations coefficient matrix can be simplified to drop dimension,so simplify the structure of the augmented matrix and whose dimension is reduced to half.

研究了一种多目标识别算法，该算法用SUSAN角点形成SIFT特征点，采用阶梯图像金字塔结构实现尺度不变，为所有匹配点建立统一的超定线性方程组并对该方程组系数矩阵进行简化使其维数降低一半，得到增广矩阵。

Secondly, a series of computer programs have been developed and verified according to the deterministic chaos theory and algorithms. These programs are deterministic chaos qualitative analysis tools including phase plots and Poincare section analysis software packages; deterministic chaos quantitative analysis tools including the largest Lyapunov exponent, correlation dimension and Kolmogorov entropy analysis codes and classical analysis such as power spectrum, autocorrelation coefficient and Hurst analysis programs.

其次，根据确定性混沌分析技术主要内容的算法思想，自行开发了相图、Poincare截面等定性分析程序软件包；最大李雅普诺夫指数、关联维数和K熵等定量分析程序软件包以及非线性混沌预测程序软件包；同时，还开发了功率谱、自相关系数、Hurst指数等传统分析技术程序软件包；并运用三种典型的周期运动、混沌运动及随机运动时间序列数据，验证了开发的程序。

The paper according to fractal autoregressive integrated moving average process models network self-similar traffic, estimates fractal dimension through fractal analysis methods directly and indirectly, and emphasizes on rescaled range analysis.

本文由分形自回归整合滑动平均流量模型产生自相似性数据。针对流量分形维数的求解，本文分别从直接估计和间接估计两个方面进行研究，采用分形分析方法对产生的业务流进行统计分析，其中重点讨论了变标度极差分析法。

As a result, the features can be of 2-dimension, 1-dimension or 0-dimension, such as auxiliary face and center line axes.

这样，基本特征用一个体表示，模型中可以定义不同维数的特征，如辅助面、中心线等特征。

Using varied band matrix and one-dimension array to collect the large sparse matrix, the integral coefficient of all the nodes, we could save memory space.

采用变带宽、一维数组方式只存储稀疏刚度矩阵中非零元索，能够节约内存。

Secondly,we give a class of invariant differential operators forCartan domain R of dimension n:If the Bergman metric of R is?

其次，我们对维数为n 的Cartan 域R，给出了一类不变微分算子：若R 的Bergman 度量为ds~2=？

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。