查询词典 fractal

Taking landscape pattern fractal model and Landsat TM/ETM images in 1995 and 2000 as the basic data,the spatialtemporal database of land use in Chongqing City was established; and using fractal model of landscape pattern,fractal dimension and stability index of landscape pattern,landscape diversity index,landscape apartness index,landscape fragmentation index,landscape evenness index and landscape dominance index were obtained.

采用1995和2000年Landsat TM/ETM影像为基础数据，提取并建立土地利用空间数据库，应用景观空间格局分形模型，获取景观类型的分形维数和稳定性指数以及景观多样性指数、分离度指数、破碎度指数、均匀度指数和优势度等指标。

The results showed that during the research period,the fractal dimensions of paddy fields,dry land and wet areas increased obviously,whereas for forest land,shrubbery land and grass land,the fractal dimensions decreased.For all types of land,the values of landscape diversity index and landscape apartness index have increased but landscape dominance index value has rather decreased.Meanwhile it was found that the relation between fractal dimension and landscape fragmentation index showed significant positive correlation.

结果表明：水田、旱地、水域等土地类型的分形维数在研究时间段内有明显上升，有林地、灌木林地和草地等景观要素类型的分形维数降低；景观多样性和破碎度指数以及均匀度略有增加，而优势度指数下降；分形维数和破碎度指数呈极显著正相关。

The paper according to fractal autoregressive integrated moving average process models network self-similar traffic, estimates fractal dimension through fractal analysis methods directly and indirectly, and emphasizes on rescaled range analysis.

本文由分形自回归整合滑动平均流量模型产生自相似性数据。针对流量分形维数的求解，本文分别从直接估计和间接估计两个方面进行研究，采用分形分析方法对产生的业务流进行统计分析，其中重点讨论了变标度极差分析法。

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。

On the basis of the fractal theory, general form and calculation method of the fractal characteristic are given, that is the calculation model of non-close fractal curve length and closed area, and box counting dimension algorithm.

基于分形理论，给出了分形特征的一般形式及其计算方法———非闭合分形曲线长度与围成面积的估算模型和盒维数的算法。

A tensile facture fractal model of grain filled polymer composites on the base of the fractal theory was established,and an equitation of the tensile fracture fractal dimension was proposed.

梁基照，吴成宝，颗粒填充高分子复合材料拉伸断口的分形模型基于分形理论构建了颗粒填充高分子复合材料拉伸断口的分形模型，进而提出了分形维数计算公式。

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。

Secondly, it is not the same fractal diagram by the same codes of IFS to produce fractal diagram. The two graphs are extraordinary similar, but they are different in detail. The problem is researched and the algorithm which calculates the intersection points of two graphs created by the same coefficient of the IFS is proposed. The curve described changing of the intersection points number is drawn. The conclusion is that the curve fluctuates in the tiny range and is smooth when it is seen as a whole. In fact, the curve is a fractal curve.

其次，针对同一IFS迭代码两次迭代绘制得到的分形图并非完全相同这一问题展开研究，提出了IFS分形覆盖相交交点变化曲线的概念，给出了覆盖相交交点变化曲线的绘制算法，在此基础上进一步研究了分形覆盖相交交点变化曲线的变化率情况，得到了分形覆盖相交交点变化曲线宏观上比较光滑，但实际上小范围内异常波动的实验结果。

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。

The Hausdorff measure for the level sets of multi-parameter symmetric stable processes has been obtained and the inner connection of the measures and local times for it has been demonstrated, which describes the fractal nature for the level sets of this kind of processes. As we know, it is always one of the focuses in the field of random fractal. The reasult of the existence and continuity of the local time for multi-parameter stochastic processes with stable components has been got in the project. Then we gained the measure for the random fractal sets such as the range and graph of this kind of processes. Furthermore, a progress besides the mentioned above in the project is that we have resolved the multifractal analysis of the sample paths for Brownian sheet, that is the multifractal decomposition of white noise in high dimension.

解决了多指标对称稳定过程水平集的Hausdorff测度问题，同时给出N指标d维稳定过程水平集的Hausdorff测度下界的最佳估计，它们揭示了其水平集的测度与局部时之间的内在关系，刻划了多指标对称稳定过程水平集的分形特征，表明了研究此类问题的积极意义，该问题是随机分形研究领域的国内外学者所关注的热点问题之一；解决了多指标稳定分量过程的局部时存在性与连续性问题，进而解决了由多指标稳定分量过程产生的随机分形集--象集、图集的测度问题；此外，本研究项目还解决了布朗单样本轨道的重分形分析，即高维白噪音的重分形分析问题。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

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如果有任何问题，你可以随时联系我。