维数

This method requires only the dimensions of systems and the expansion coefficient of density matrix which can be easily got, and the computation is easy, so it has its application value.

此判据仅依赖于系统的维数和密度矩阵的展开系数，而这些数据是易于求得的，使得量子纠缠态的判断简单易行且易于操作，在实际运用中具有理论价值。

However.We obtain its Hausdorff dimension spectrum by density theorem.

利用密度定理，在第二章的两节中，我们分别得到了它们的Hausdorff维数。

For the purpose of classification, the fractal scales and the fractal dimensions along horizontal, vertical and diagonal directions are obtained to form a feature set with six parameters. The probabilistic neural network is used as the texture classifier. Results have shown satisfied classification of natural textures.

文中利用纹理图像在水平、垂直和对角3个方向上的分形尺度和分形维数作为特征集，采用概率神经网络作为分类器进行自然纹理图像分类，得到准确的分类结果。

In the aspect of multivariate modeling, three forms of multivariate GARCHSK model includes vector form, diagonal form and simplify form, are put forward and compared. The famous dimension disaster exists in multivariate GARCHSK model also. Based on Independent Component Analysis, multivariate volatilities of conditional higher moments are estimated through IC-GARCHSK model, which make dynamic relation of higher moment risk between multi-assets to be possible.

鉴于多元 GARCHSK 模型存在严重的"维数灾难"问题，基于独立成分分解技术提出 IC-GARCHSK 模型，给出多元条件高阶矩波动率的估计方法，使得同时度量多个资产高阶矩风险之间动态关系成为可能，为利用组合投资方式分散高阶矩风险的影响奠定了方法论基础。

Successive diagonalization and truncation technique was used to reduce the size of the final Hamiltonian matrix to be diagonalized.

为了降低需要对角化的最终哈密顿矩阵的维数，采用连续对角化截断方法。

In this paper,the authors use these methods to calculate the fractal dimension of three diff...

本文在GIS支持下用Matlab实现了 3种算法，并用此法计算出了 3种地形的分形维数。

There are two main disadvantages in the present differential algebra equation model used in AC/DC system: one is that 'dimensional calamity' can occur with the increment of DC transmission lines

目前普遍使用的AC/DC系统的微分代数模型主要存在2大缺陷：①随着直流线路的增加可能出现"维数灾难"问题

There are two main disadvantages in the present differential algebra equation model used in AC/DC system: one is that 'dimensional calamity' can occur with the increment of DC transmission lines; another is that it is difficult to deal with the switch of DC control mode.

目前普遍使用的AC/DC系统的微分代数模型主要存在2大缺陷：①随着直流线路的增加可能出现"维数灾难"问题；②不易处理直流控制方式的切换，计算繁杂。

The principle of the fractal-interpolated surface was discussed. The formula and the theorem of fractal dimension of the fractal-interpolated surface were analyzed. The numerical analysis of height anomaly fit by the fractal interpolated surface and the result comparison with the quadric polynomial surface model with practical data were given.

本文论述了分形插值曲面的原理，分析了分形插值曲面的计算公式，讨论了分形插值曲面的维数估计方法和公式，用实际数据进行了分形插值曲面拟合高程异常的数值分析以及与二次多项式曲面拟合模型结果的比较。

As the basis of the thesis, measure theory and dimension concept including several technical lemmas are presented in the second chapter.

第二章概述了拓扑空间中的测度理论和维数概念，包括一些技术性引理，是全文的基础。

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。