分维

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。

Based on the analysis of similarities and differences between core data, well log and seismic prospecting, the thesis makes a primary match between them;(2) Through layer boundary dividing by Walsh transformation, lithology determination by gray system and stratigraphy correlation by dynamic waveform match, an application to the aimed area was done;(3) This paper also gives the research on the character of well logs and reservoir parameters. According to the FBM protype, the profile of density and acoustic value between two wells was built. And the result showed good accordance with real logs.(4) By means of fractal reconstruction, it rebuilt the three dimensional shapes of the main stratigraphy boundaries in the studied area.

在详细分析总结岩心、测井和地震数据异同点的基础上，对三种数据进行了初步的匹配；②通过对测井曲线的沃尔什变换分层、灰色关联法岩性判别，综合多种动态层序对比技术，增改对比过程所需要的参数，进行了井间地层对比方法的探讨与应用研究；③详细研究了测井曲线以及储层参数分布的分形特征，以分数布朗运动为原型模拟出两口井中间对应地层的密度和时差参数剖面，结果与验证井数据表现出了良好的一致性；④采用分维重建方法再现了研究区块泉头组顶底面以及登二段底面的空间形态。

We chose three amino acid sequences from PDB based on SCOP,which all belonged to and had similar fractal dimensions.From the point of view of multifractal,the complexity of the distance of protein and the polar and volume of amino acid sequences are compared.

按照SCOP分类法，从PDB中选取三条同属于类的分维相近的蛋白质序列，利用多重分形分别对蛋白质空间距离以及序列中氨基酸的极性、体积的复杂性进行比较。

In this paper,the fractal theory was used to study the gully's alcoves in different orientations of nine craters at the mid-latitudes in the southern hemisphere of Mars.

采用分形理论对火星南半球中纬度9个陨击坑壁内不同方位发育的冲沟沟头形态进行了研究，结果表明沟头的分维值与冲沟发育程度呈显著的正相关关系。

In this paper, the fractal theory was used to study the gully's alcoves in different orientations of nine craters at the mid-latitudes in the southern hemisphere of Mars. The results suggest significant positive correlation between the fractal characteristics of the gullies and the maturity of their development.

采用分形理论对火星南半球中纬度9个陨击坑壁内不同方位发育的冲沟沟头形态进行了研究，结果表明沟头的分维值与冲沟发育程度呈显著的正相关关系。

Landslide's evolvement; Cellular automata; CA-Landslide model; Fractality dimension; Self-organized criticalcharaters; Damage variable; Spatio-temporal data model; Geography information systemGIS

滑坡演化；元胞自动机； CA-Landslide模型；分形分维；自组织临界特征；损伤当量；时空数据模型；地理信息系统

The statistical and fractal feature of fluctuating differential pressure for air water two phase flow in the upward section of U type tube was investigated in the present paper.

该文研究了U形管垂直上升段空气水两相流压差波动过程的统计和分形特征，着重分析了压差波动过程的均值、均方根、分维数随折算气速和液速的变化规律。

Further quantitative measurement demonstrates that the irregularity of the spalled surface can be characterized with fractal dimension. Moreover, the scaling range of similar pattern and the fractal character can be correlated to microstructral size distribution and damage process in some way.

对层裂剖面的定量测量结果表明，层裂表面具有分形特征，可以用分维很好地表征层裂表面的粗糙程度及不规则性，且其标度范围与材料的微结构尺寸分布及层裂损伤演化过程有一定的关系。

Characteristics and principles of time clustering and frequency with a seismic sequence of more 380 years (1615 —1998) are performed using fractal theory and rescaling range analysis theory. It is concluded that the fiactal dimensions of seismic subset are similar to each other, the mean value is about 0.405, and interval of scale invariance can change 1-2 magnitude order. It is also found that the Hurst index ranges from 0.5412 to 0.5580. The results show that there is of statistical self-similar among different magnitude earthquakes in the area of bridge site.

应用分形理论和R/S分析原理，编写了程序，分析和研究了桥址区的380多年（1615～1998）地震序列的地震时间从集和地震频度特征及规律，得出桥址区不同震级范围的子集合具有近似相等的分维值，约为0.405，子集合无标度区可跨1～2数量级；不同震级层次的地震频度Hurst指数为0.5412～0.5580，都表明了桥址区不同震级层次的地震之间具有统计自相似性。

5By introducing the fractal theory to analyze logging curve's characteristics, the Rescaled Range Analysis method is used to calculate the fractal dimension on acoustic transit time, resistivity, natural gamma, spontaneous potential.

将分形理论引入到对测井曲线的特性分析之中，利用R/S分析方法对声波、电阻率、自然伽马和自然电位进行分维数计算，将计算结果与不同的水淹级别相联系，利用模糊综合评判方法对水淹层分级。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。