查询词典 fractal dimension

Regular Fractal Dimension Calculation is discussed by using Koch Curve and Cantor Ternary Set.Additivity of regular fractal dimension is discussed by continuation of Koch Curve with line and Cantor Ternary Set in vertical direction.CircumferenceArea,Variation,Grid and Radius methods of calculation statistical fractal dimension are introduced.

本文以科赫曲线与康托尔三分点集为例，讨论了有规分形维数的计算；以科赫曲线在垂直方向的两种拓展为例，讨论了有规分形维数的加和性；以周长—面积法、变量法、网络法与半径法为例，介绍了无规分形维数的计算方法。

The experimental results have shown that the common logarithm values of transverse rupture strength lgσ〓 increase with the increase of fractal dimension D〓, and has a linear equation relationship. The microfracture fractal model of cermets has been founded and the estimated fractal dimension formula of fracture surfaces proposed.

建立了颗粒型复合材料金属陶瓷断裂的微观fractal模型，提出了计算断口表面分形维数的公式，指出断口分形维数依赖于测量码尺的选择，对金属陶瓷来说其临界测量码尺为0.07μm。

Based on the methods of Hausdorff fractal dimension and space relation fractal dimension ,the paper advances calculation models on the fractal dimension and the arriving degree of network of Liaoning s highway network.

分析了辽宁省公路交通网络的基本现状，根据分形理论，利用Hausdorff维数简化算法和空间关联维数的计算方法，测算了以省内国道干线为基础的辽宁省公路交通网络的分维数和网络直通度。

C for the fractal dimension, we present a classification method that is based on the fractal dimension with the help of multiresolution fractal dimension and lacunarity data.

对于分形维方法，我们提出应以一级分辨率分维为基本依据，辅之以多分辨率分维值和空隙数据进行纹理分类的方法。

Fractal dimension structure of the Cosmos are explored, and the mathematical foundation, which include the expressions of fractal dimension differential and calculus, regular space integral solutions of fractal dimension differential equations, the fractal calculus definitions of fractal measure as well as the measure computational equation of self-similar fractal, of fractal dimension calculus and fractal measure are given.

摘 要：探讨了宇宙分维构造的形式，给出了分维微积分及分形测度的数学基础，包括分维导数及分维微积分的表述形式、分维微分方程的规整空间积分解、分形测度的分维微积分定义及自相似分形的测度计算方程。

That a root system growth is more complete when fractal dimension value is higher, and when a growth of root system is simple and slow, then its fractal dimension value is smaller, and the same fractal dimension or the dimension is near, the form construction of root system becomes to similar.

当碎形维度值愈高，根系生长愈复杂，当碎形维度值愈低其根系的生长型态较简单且生长较慢，而且当两者之碎形维度很接近时其生长的型态也非常相似。

The three dimension reticular cell counting method is adopted to calculate the fractal dimension characterizing skew degree of gray level surface. With the two-dimension reticular cell counting method, the fractal dimension characterizing wrinkle shadow block distribution is obtained. By means of distribution function, the fractal dimension for the size distribution of wrinkle shadow block can be achieved.

提出以尺度变化的立体网格计算灰度曲面的分维数，表示灰度曲面的起伏程度；以尺度变化的平面网格计算织物折皱阴影块分布的分维数，表示阴影块的离散程度；以当量直径为尺度，计算分布函数的分维数，表示织物折皱阴影块尺寸的分布。

The results show that the radiative properties of randomly distributed soot aggregates for a given fractal dimension are complex functions of the monomer diameters, the number of monomers in the aggregates,and the refractive index; For a small value of the monomer diameters, the absorption cross section of soot aggregates tends to be relatively constant when the fractal dimension is small but increases rapidly when the fractal dimension exceeds two. However, a monotonical reduction in light absorption with the increase of the fractal dimension is observed for soot aggregates with sufficiently large monomer diameters, number of monomers,and refractive index. The scattering cross section , extinction cross section and single-scattering albedo increase monotonically with the increase of the fractal dimension. Overall, the results for soot aggregates differ profoundly from those calculated for the equivalent spherical particles, and the discrepancies between them will change small with the increase of the fractal dimension.

研究表明，在给定分形维数的情况下，烟尘団簇粒子的辐射特性取决于原始微粒粒径、数量及复折射率；原始微粒较小的団簇粒子，当分形维数较小时，吸收截面变化不明显，但当分形维数大于二时，吸收截面骤然增大，然而，对于具有比较大的原始微粒粒径、数量及复折射率的烟尘団簇粒子，吸收截面随着分形维数的增大而单调递减；随着分形维数的增大，団簇粒子的散射截面、消光截面及单次散射反照率均单调递增；从整体上来讲，団簇粒子的辐射特性与等效球形粒子的辐射特性存在着比较大的差别，并且这种差别随着分形维数的增大而减小。

Result shown: value of fractal dimension is a comprehensive index, which reflect the changes of landscape, patch areas, patch numbers, area per patch, and their interaction. And the index can reflect the irregular degree and the complex degree of landscape patch in dumping place. The fractal dimension of mixed vegetation of arbors – shrubs and mixed vegetation of shrubs maintain the high level, while fractal dimension of new reclamation land and grass land are low. The difference of other type landscape fractal dimension is not significant. Vegetation landscape is influenced by many kinds of factors. It is primarily influenced by surface material composition and terrain in south and west dumping place, which diversity index is high. It is primarily influenced by vegetation type in inner dumping place and expanded west dumping place. The landscape multiplicity index of the mixed vegetation of grass and shrubs is higher than other landscape type, but landscape dominance index of this area maintains on the lower level.

结果表明：分维数的大小反映了景观斑块面积、斑块数量和平均斑块面积等因素的相互作用，反映了排土场内景观斑块的不规则程度和复杂程度；乔灌混交地和灌木混交地保持着较高的分维数，新造复垦地和草地的分维数较低，其它景观类型的分维数则差别不大；植被景观受多种因子的影响，在南排土场、西排土场受地表物质组成和地形的影响为主，其多样性指数较高，在内排土场、西排扩大区受植被类型的影响为主；草灌混交地的景观多样性远高于其它现有的复垦植被区，但其景观优势度则保持在较低水平上。

The desulfurization experiments of CaO samples with various fractal dimensionswere carried out in the TGA to investigate the influences of fractality on the sulfationreaction, and the evolution of pore structures during the reaction. Under certainsulfation conditions, the calcium conversions of the CaO samples increase with theincrease in fractal dimension when fractal dimension is less than 2.68, and decreaseswhen it is more than 2.68. In the range of the experiment temperatures, the calciumconversion for a sample with a lower fractal dimension increases with the increase inthe temperature, and for a sample with a higher fractal dimension there exist anoptimum temperature at which the sample can reach the highest calcium conversion.

选用具有不同分形结构的CaO试样进行了硫化实验，研究孔结构的分形特性对硫化反应的影响以及硫化过程中分形孔结构的变化特性，实验结果表明，在一定的分形维数范围内，随着分形维数的增加，钙利用率增大，但分形维数超过一定值时(约为2.680)，钙利用率反而降低。

I use an example quoted by Hu Jiaqi:"It is reported that America separates the DNA of a kind of virus by making use of genetic technology and combines it with another kind of DNA. Finally, they get a kind of virulent biological agent called a "pyrotoxin". Someone discloses in private that 20 grams of such a kind of biological agent could result in the global death of 6 billion people due to infection."

我在这里例举胡家奇所引用过的例子："据报道，美国利用转基因技术，将一种病毒的DNA分离出来，与另外一种DNA进行结合，拼结成一种剧毒的"热毒素"生物战剂，且私下有人透露，这种生物战剂只需20克，就可以导致全球60亿人全部感染死亡。"

Waiting, for the queers and the coons and the Reds and the Jews.

等待着疯子和黑人还有红色共产主义者还有犹太人