分维

In order to get a true and simple description of anisotropism of fractures network, a new way called as OFT , which is based on the fractal theory, is advanced in chapter five.

在第五章，为了真实、准确、简单地描述裂隙系的各向异性，笔者从分形理论出发，提出了方向分维张量方法。

The results show that the attrition index of alumina from carbonization precipitation increases with the increase of fractal dimension.

采用扫描电镜分析了一系列种分、碳分氧化铝颗粒的形貌特征，进行了分维数的计算和磨损指数的测定。

The variation regularity of joint size and the shear strength of fractal rock joints with different fractal dimensions were subsequently studied by using the numerical direct shear test method.

为了研究岩石节理抗剪强度参数取值中的尺寸效应问题，采用随机分形方法，重构了岩石节理剖面线，在此基础上，应用数值直剪试验方法，研究了不同分维值岩石分形节理抗剪强度参数随节理尺寸的变化规律。

In terms of fractal geometry, analyses are performed of the features of grain size of the basalt laterite with and without disperser at the vertical section.

本文借助分形几何理论，探讨垂直剖面上玄武岩红土在加分散剂前后颗粒粒度的分维变化特性。

Using fractal method, the fractal dimensions of these images are calculated to compare their fractal characteristics.

利用分形学方法，计算图像的分维数，然后比较其分形特征。

Using the same method, we can know that the fractal character exists for Lianyungang's coastline and Yancheng's, Nantong's, the fractal value of each is 1.0531, 1.0693, 1.1495. The values of fractal show that the extension of sinuation of coastline change complex, and so the distributing space is larger gradually from north to south.

采用相同的方法和标度，江苏省沿海三个地级市连云港、盐城、南通的海岸线在1：50000地形图上同样具有分形的特征，分维值分别是1.0531、1.0693、1.1495，由北向南逐渐增大，反映了江苏省海岸线的弯曲程度由北向南逐渐变复杂的趋势，相应的海岸线在平面上展布的空间由北向南也是愈来越大。

The paper applies the fractal theory to the research of fractal dimensions of the content of Au in Shuangqiaoshan Group, and discusses the relation.

本文利用分形理论研究了双桥山群金含量的分维数结构特征，并对其含金性进行了评价，初步探讨了双桥山群赋存矿床类型、矿床作用与其分形结构特征之间的关系。

Fractal structure features of granulometric composition in frozen soil are studied basedon the fractal theory.

本文据分形理论，研究了冻土粒度成分的分形结构特征，结果表明，冻土的分维介于2和3之间，平均值为2.6左右。

Then, according to phase space reconstruct technique from one-dimensional and multi-dimensional time series, the quantitative criterion and rule of system chaos which combine neural network, analyses, computations and sort are conducted on EEG signals of five kinds of human consciousness activities. The author finds that statistic results of the determinism computation in time series indicate that chaos characteristic may lie in human consciousness activities, and central tendency measure is consistent with phase graph, so it may become one division way of attractor; approximate entropy of different subjects exists discrepancy; correlation dimension and Lyapunov exponent of different consciousness activities indicate that attractors of human activities are all fractional; nonlinear quantitative criterion and rule, which unites neural network, can distinguish different styles of consciousness activity in principle, and the result of sortation takes on that consciousness activity type of arithmetic is distinguished more easily than that of abstract.

采用一维与多维时间序列相空间重构技术和系统混沌的定量判据准则，结合神经网络，对五种思维作业方式的脑电信号进行了分析、计算与分类，发现确定性计算的统计结果表明人类的意识活动中可能蕴含混沌特性，中心趋向测量(Central Tendency Measure，CTM)与相图吻合较好，可作为EEG吸引子的区分方法之一；功率谱分析反映出单个受试者的各种意识形态的差异很小，但是不同意识活动谱中的活跃频段还是略有差异的；个体之间的近似熵存在差异，同种状态下近似熵大的人可能具有更好的创新性；关联维数和Lyapunov指数的计算结果表明大脑的运动落在具有分维的奇怪吸引子上；非线性量化方法与神经网络相结合，可对人脑思维活动进行较好的分类，并且从分类结果来看数理计算类思维活动较抽象类思维活动有着更好的区分度。

The fractal dimension can represent the complexity and the non-linear property of frost heave curve, which is important for understanding the process of frost heave on the aeolian soil.

分维体现了冻胀曲线的复杂性及非线性特征，这对进一步认识风积土的冻胀过程有着很重要的作用。关键词一维封闭冻结，风积土，冻胀曲线，分形

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。