这可能是由于基板及几何维数的限制导致。
This may be due to the substrate effect or geometric confinement.
几何维数的急剧减少导致数字分析的极大简化。
The drastic reduction in the geometric dimension leads to great simplification in mathematical analysis.
实验结果表明，分形维数能很好地表征表面轮廓，可为进一步的接触分析提供更合理的几何模型。
Taking rigid disk surface as an example, fractal parameters are obtained by means of power spectrum and structure function, providing a proper geometric model for further contact analysis.
在了解分形理论的基本知识和分形几何的维数的基础上，对分形图形的算法作了总结。
It sums up some fractal algorithm on the basis of mastering the base knowledge of the fractal theory and dimension of the fractal geometry.
主成分分析能有效估计这一几何体的本征维数。
The principal component analysis can estimate the intrinsic dimensionality of the hyper-plane.
分形维数是描述自然界和非线性系统中不光滑和不规则几何体的有效工具，是所有分形对象的主要特征之一。
Fractal dimension is usually an effective way that used to describe the non-smooth and non-regular geometry objects in the nature and non-liner systems.
分形集的各种维数的计算一直是分形几何研究的重点。
The computation of the various dimensions of fractal sets is very important in fractal geometry research.
完备度量空间上迭代函数系统的不变集性质及测度的维数是分形几何研究的主要对象。
The property of the invariant set and measure's dimension of the IFS are main objects in the studying of fractal geometry.
数论网格法适用于几何形状规则和维数不太多的问题，它的误差是真正的误差。
Number theory grid method is suited to the problems of regular geo metric shapes and those of not too more dimensions. Its error is a true error.
根据分形几何学的重要参数———分形维数可以反映复杂分形体空间分布的特征，将红柳地区构造层断层系作为一个平面集来进行分形维数的研究。
The fault system of structural horizon in Hongliu area was taken as a plane set to be studied with the fractal dimension.
利用分形几何学理论对煤孔隙结构进行了定量的描述和研究，推导了煤孔隙分形维数的表达式；
The paper quantitatively stated and researched the coal borehole fissure structure with the sharp geometry theory. The paper derived the expression of the coal borehole fissure sharp dimension.
引用岩体力学方法和分形几何学，用强度因子和分形维数对煤体变形进行定量评价。
Quoted rock mechanics and fractal geometry, used strength coefficient and fractal dimension quantitatively evaluated the deformation of coal.
引用岩体力学方法和分形几何学，用强度因子和分形维数对煤体变形进行定量评价。
Quoted rock mechanics and fractal geometry, used strength coefficient and fractal dimension quantitatively evaluated the deformation of coal.
应用推荐