查询词典 fractal dimension

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。

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。

Recently more than 10 years, a new fractal geometry, the space is not necessarily integral dimension, and the existence of a fractal dimension, which is a breakthrough in geometry, a mathematician and natural sciences were aroused great concern.

最近十几年的，产生了新兴的分形几何学，空间具有不一定是整数的维，而存在一个分数维数，这是几何学的新突破，引起了数学家和自然科学者的极大关注。

The features of the fractured medium and the rock matrix in the fractal composite reservoirs are describes with the fractal dimension (which describes the geometric features) and the fractal index (which depicts the connectivity of the fractal fluid flow network); An analysis mathematical model of well testing is proposed for inconstant flow rate with the closed outer boundary and the wellborn storage and the skin effects.

分形是研究自然和社会中广泛存在的零碎而复杂、无序、不规则、非线性、不光滑，具有自相似、自仿射和标度不变性的复杂系统、图形、构造、功能、性质和复杂现象，及隐藏在这些复杂现象背后的，具有精细结构、内在随机性，局部与整体本质联系的，被传统线性科学排斥在外的不规则"病态"，不可微的事体，形体。

Based on geomorphy and anthropo-factor that influence land use structure, D and S of 8 types is analyzed, and the result indicate that:(1) the complicated geomorphy is uppermost factor that influence fractal dimension of land use type;(2) the social economical level influence D and S of land use structure in a certain extent;(3) the average fractal dimension values and average stability indexes are integrative reflection of the land use structure of each region.

结果表明：(1)复杂的地貌类型是影响土地利用类型D 值和S值的最主要因素；(2)社会经济发展水平一定程度上影响土地利用类型的分维值和稳定性指数；(3)区域土地利用类型的平均分维值、稳定性指数的大小是土地利用结构的综合反映。

According to SAK model, a relation between the fractal dimension and the attractive energy is derived, which indicates that the fractal dimension decreases as the attractive energy increasing.

根据SAK模型导出了分维度与相互作用能的关系，结果表明：随着粒子间相互吸引能的增加，聚集的分维度减小。

The fractal dimension and tortuosity of trajectory are analyzed. The method of calculating the fractal dimension of trajectory is developed.

分析了孔道轴向分形维数与孔道空间曲折性的关系，建立了关联色谱固定相内孔道轴向分形维数的计算式。

The fractal theory was used to build fractal microfibril in wood cell wall,and fractal dimension of fractal microfibril layer S1 and layer S2 were calculates,then wood fiber frame with nanometer scale was pointed out.

利用分形理论构建了木材细胞壁中的分形木质纤维，并计算了分形木质纤维 S1层和S2层的扭曲分形维数，指出木材中具有纳米尺度的纤维结构；同时，以木材液化和纳米纺丝技术为基础，提出了木材苯酚液化产物制备碳素纤维材料的构思和技术路线，为解决木材纳米、微米材料的制备提出了新思路。

Objective: To study the effect of polycythemia on blood oxygen saturation.

裴蕾目的：观察RBC剧增而引起的高粘血症对血氧饱和度的影响。

Based on SIMPLER algorithm in the curvilinear body-fitted coordinates, the calculations were performed for Pr=0.7, Re=10~1000 on non-orthogonal non-staggered grids which are generated by elliptic equation systems.

采用曲线坐标系下压力与速度耦合的SIMPLER算法，数值研究了周期性渐扩渐缩波纹通道内脉动流动与换热情况，流动Re数的范围为10~1000，Pr数为0.7。