分形维数

词组短语

fractal dimension

与分形维数相关的网络例句 [注：此内容来源于网络，仅供参考]

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 results indicate that as the value of fractal dimension is increased, the interfacial static friction coefficient first increases and then decreases; the interfacial static friction coefficient decreases as the fractal roughness parameter increases; while the inter-facial static friction coefficient increases as the material property or total normal load increases; the curve of static friction coefficient versus dimensionless total normal load is convex when the fractal dimension becomes smaller or fractal roughness parameter is larger or material property becomes smaller.

研究结果表明：界面的静摩擦因数首先随分形维数的增加而增加，然后随分形维数的增加而减小；界面的静摩擦因数随分形粗糙度参数的增加而减小，但随材料特性的增加而增加，也随总法向载荷的增加而增加；当分形维数较小或分形粗糙度参数较大或材料特性较小时，静摩擦因数－量纲一的总法向载荷曲线为凸弧。

Based on investigating the short and intermittent structural plane, surrounding rockmass of the huge underground powerhouse in Three Gorge has been divided into five statistical similar areas according to its characteristic of rockmass structure by applying structure plane network simulation. Distributed characteristic of structural plane has been studied and based on it mechanics macrocharacteristic has been studied:(1) It is the first time that based on the result of structural plane network simulation rockmass quality of every structure area has been studied with applying blurred information optimum seeking technique and be compared with and RQD method. The result indicated that it has better effect to evaluate rock quality with blurred information optimum seeking technique.(2) It is the first time that the interrelated relationship of the result of in-suit rockmass deformation test and fractal characteristic of structure on test point has been applied to determine rockmass deformation parameter. The question of evaluating deformation parameters of engineering rockmass has been solved.(3) Anisotropy strength parameters have been determined by applying shear zones simulating method. The result indicated that there are different strength parameters in every structural area, after comparing the result of Fast Lagranian Analysis in continua number simulation method with that of method of weighted mean according to continuity. The result indicated that when a suitable reduction coefficient is been considered rockmass strength parameters can be simply and fast determined with method of weighted mean according to continuity where there is not enough test result.(4) Damage characteristic has been studied based on analysis fractal characteristic of structural plane network by applying fractal-damage coupling method. It is the first time that the concept of damage degree has been set up to evaluate rockmass quality according to the biggest principal damage.

通过对短小、断续性结构面统计特征的研究，将地下厂房区划分为五个岩体结构统计均质区，应用结构面网络模拟技术研究了各个岩体结构均质区结构面的发育分布特征，并以此为基础对岩体宏观力学特性进行了深入研究：(1)首次通过在结构面网络模拟计算结果的基础上，应用模糊信息优化技术研究了厂房区各个岩体结构分区的岩体质量并与岩体基本质量指标研究法、岩体质量指标RQD值研究法作了对比，结果表明以结构面网络模拟结果为基础，应用模糊信息优化技术进行岩体质量评价能够取得很好的效果，解决了工程岩体质量的定量评价问题；(2)首次通过对已有的现场大型岩体变形试验结果的分析及相应试验点岩体结构分形特征的研究，建立了结构面分布的分形维数和岩体变形指标间的相关关系，并首次应用这种相关关系根据结构面网络模拟及分形维数计算结果确定了缺少试验结果的地下厂房各工程部位的岩体变形指标而且应用于围岩稳定性计算，解决了工程岩体宏观变形参数的评价问题；(3)应用在结构面模拟网络图上模拟岩体剪切破坏带的方法，得出了岩体在不同方向上的强度参数，结果表明岩体的强度特性与结构面的发育方向和程度有着明显的关系，各个岩体结构均质区具有不同的强度参数；同时还通过应用拉格朗日差分法对岩体强度指标的数值分析并与按连通率加权平均计算法对比表明，按连通率加权平均计算法在考虑合理的折减系数情况下，可以简单快速地对缺少现场大型试验结果的具体工程部位实现岩体强度指标的估计，通过以上研究解决了工程岩体抗剪强度参数的评价问题；(4)通过结构面网络分形维数的研究，应用分形损伤耦合分析方法，研究了厂房区岩体的损伤特征，并首次引入"损伤度"的概念，建立了应用最大主损伤评价岩体质量的指标体系。

In this paper,a two dimension variation method is applied to compute tensile fracture surface fractal dimensions of a grain composite material LDPE/CaCO 3,and set the relationship of tensile fracture surface fractal dimensions and tensile ultimate stress and material filler weight content percent .

应用计算断口表面分形维数的二维变差法，计算了颗粒复合材料LDPE／CaCO3拉伸断口的分形维数，并且建立了断口分形维数与强度极限和填料颗粒含量之间的关系。

After it is proved that the fractal dimensions are stable characteristic parameters of images, and there is correlation between them in undeformed and deformed states, the fractal correlation function are found for displacement measurement, which the correlation parameters are Box Dimensions.

在确定了变形前后数字散斑图像的分形维数之间具有相关性，而且其分形维数是稳定的特征参数之后，以图像的盒维数为相关参数进行互相关运算而形成分形相关函数。即利用变形前后数字散斑图像的分形维数序列做为相关参数进行相关运算，实现位移测量。

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。

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。

Compared with the two dimension FD, the methos are fast and simple,the experiment result shows it is feasible to classify manmade targets and natural objects by the FD of the rough profile of contour.

实验表明，水杯及车辆轮廓的分形维数较低，岩石则具有较高的分形维数，通过同二维结果的对比，从计算量和分形维数两方面证明用所提出的算法计算轮廓分形维数区别人工目标和自然物体是可行的。

The crack and stress-strain of Chinese White Poplar were studied by the box counting method. The results showed that the cracks were obvious fractal and that the value of dimension D was determined to be between 1.2～1.5 by studying the crack propagation in the two dimensions. By comparing the crack propagation over a period of time, we found that the value of D increased as the crack increased.

运用数盒子法对裂纹发育带在二维平面内的分布进行了分形特征研究，发现木材裂纹具有明显的分形规律，分形维数为1.2～1.5；通过比较不同时间段的裂纹发育情况，发现裂纹的分形维数随着裂纹的扩展呈增加的趋势。

Finally, fractal characteristic is researched in the thesis. Fractional Brownian motion characteristic of sea clutter is validated and fractal dimention of sea clutter without taget and sea clutter with target are calculated by box-dimention method.Target detection based on fractal dimention is analyzed in brief and sea clutter multi-fractal characteristic is analyzed by MF-DFA.

最后，本文对海杂波分形特性进行了研究，验证了海杂波符合分数布朗运动的特性，通过盒维数法计算纯海杂波和目标海杂波的分形维数，简要分析了基于单重分形维数的目标检测，并采用MF-DFA对海杂波多重分形特性进行了研究分析。

与分形维数相关的网络解释 [注：此内容来源于网络，仅供参考]

field of view：视野

也可以是多个(但是多个截面都要是同一类型的(单形,复合形)) 3.路径(PATH)和截面(SHAPE)只能是二维图形2)FOV(视野)(FIELD OF VIEW)单位:DEGREE(度)1)网格与物体的分格数(SEGMENTS)有关2)FOV(视野)(FIELD OF VIEW)单位:DEGREE

fractal dimension：分形维数

109 中国战略环境评价(SEA)研究进展及发展趋势 蔡春苗 环境科学与管理 2009/01252 卡氏地蛛(Atypus karschi doenitz 1887)和老狡蛛(Dolmades senilis)血细胞形态学参数研究 马德滨 黑龙江科技信息 2008/15701 分形维数(Fractal dimension)及其测量方法 孙博

fractal dimension：分数维

还是数学的推理都是不能允许的".看来即是独立坐标数和维数必是整数的假设是站不住脚的.况且近年来兴起的分形理论又迫使我们接触到分数维(Fractal dimension)的概念,这不得不使我们重新思考维数的性质及其所具有的意义.从集合论的角度看,

fractal dimension：分维数

分形几何学在生态学中的应用主要体现在分维数(Fractal Dimension)分析方法上,即通过分维数来研究自然界中的物体和空间格局特征. 分维理论目前已经发展了各种维数,如相似性维数(Similaritydimension)、Hausdoff维数、信息维数(information dimension)等.

fractal theory：分形理论(一种否定微分的新数学理论)

fractal dimension 分形维数 | fractal theory 分形理论(一种否定微分的新数学理论) | fractional 分数的

fractionally integrated：分形整合

fractal dimension 分形维数 | fractionally integrated 分形整合 | fuzzification 模糊化

Spring Wheat Nonlinear Fractal dimension Overvalue ratio Harmonizing index：春小麦非线性分形维数 超越率 协调指数

营养教育模型:Nutrition Education Model | 春小麦非线性分形维数 超越率 协调指数:Spring Wheat Nonlinear Fractal dimension Overvalue ratio Harmonizing index | 弹性振子点阵模型:mass spring lattice model

topological dimension：拓扑维数

它所描述的图形可以是分数维.分形的特征是整体和局部有严格的或统计意义下的自相似性.描述分形的定量参数为分维,而维数的定义种类很多,如相似维数、Hausdorff维数、盒维数(box dimansion)、拓扑维数(topological dimension)等,需要随研究对象的改变来选择.研究表明,