维数

With the reconstruction in phase space,the formulas of r elative dimension D2,representing the dynamic characteristics of crack,are obta ined.

文摘：在探讨用混沌与分形理论研究混凝土大坝裂缝演变机理的基础上，建立了裂缝演变的动力学方程组，通过相空间重构，得出显示裂缝动态特性的关联维数D2的表达式。

The simulation example of SMA-13 shows that real road surface texture has the nearly same fractal dimensions with corresponding FIF curve and the application of FIF method in erose curve simulation is feasible.

通过对分形插值函数构成算法和纵向压缩因子取值方法的研究，给出了基于分形插值函数的路断面构造模拟方法和MATLAB语言编制的模拟流程图；对SMA-13马歇尔试件断面构造的拟合分析表明，实际路面断面构造和分形插值曲线在精度范围内具有一致的分维数，说明分形插值方法对路面断面构造等不规则曲线的拟合具有良好的适用性。

A central issue in PCA is choosing the number of principal components to retain. However, most studies assume a known dimension or determine it heuristically, though there have a number of model selection criteria.

确定观测数据集的本征维数是主分量分析的一个核心问题，然而目前的研究仍然多采用经验方式来进行估计，所得到的结果往往不是最优的。

In chapter 1, we study the injective test sets and homological demensions.

在第一章，我们研究了内射测试集和同调维数。

In recently years, much progress about injective modules has been obtained, particulary about injective test sets and homological dimensions.

近年来，对内射模的研究已经取得了许多令人鼓舞的进展，特别是内射测试集和同调维数的研究。

A two-dimensional fractal pore network model of porous media was constructed based on the theories of homothetic reduction, fractal geometry, Voronoi diagram, along with the structural parameter of potato.

构建的网络模型考虑了影响多孔介质干燥的孔道微细结构特征，模型参数能够很好地反映多孔物料的微观结构，且获得了合理的分形维数。

The thesis introduces the wide application and merits of CAD system for two dimension al incisory drawing in furniture enterprises,Making use of two dimension al array,the author offers both an algorithm for the best incisory cutting design giving priority to the larger surface proportion and the source code of VB for the realization of algorithm.

本文介绍了平面切割图的计算机辅助设计系统在家具制造业中的广泛用途和优点，给出了利用二维数组实现大面积优先的最优化切割图设计的算法和实现算法的VB源代码。

Mean shape index andmean patch fractal dimension in 2003 is smaller than that in 1993. The landscape shapes innatural and half-natural condition tend to be simplifying. And the controlling effect of regionalecology may be enervated.

同时，黑龙江省2003年的斑块平均形状指数和分形维数小于1993年，自然、半自然状态的景观的形状趋于简单化，区域生态调节作用有所削弱。

In lower soil, there was a significant correlation between fractal dimension and soil chemical properties including the contents of total phosphorus, pH, total kalium and available kalium.

土壤颗粒的分形维数与土壤下层(10~30 cm)的全磷、pH值、全钾和速效钾含量显著正相关。

"The behavior of these systems is sensitive to dimensionality, and this is a subject that should be explored in the future," said Landman, the Fuller Callaway Chair in Computational Materials Science at the Georgia Institute of Technology. This actually brings another control parameter into question.

&这些系统的行为非常容易受到维数的影响，这是将来应该探索的课题，&乔治亚理工学院计算机材料科学系主任兰德曼说：这的确让我们开始对另一种控制参数进行思考。

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。