分维

The study investigates time fractal properties of time series of spontaneous discharge of auditory nerve, we bring to light the shortcoming of the algorithm of capacity dimension and correlation dimension applied to time series of spontaneous discharge of auditory nerve, and offer basis to further study.

本研究从多角度考察了听神经自发放电时间序列的时间分形特性，指出了标度变换法和关联维G-P算法应用于听神经自发放电时间序列分维值计算的不足之处，分析了听神经自发放电序列赫斯特指数的意义，为进一步开展相关的研究提供了基础。

With the fracture profile method, the dimensions of fractal of the fracture surface of rock was measured.

用侧面轮廓线法测量了岩石断口的分形维数，结果表明，岩石的断裂韧度越大，断口分维数越小。

Usually the frame size and the frame step are fixed when computing the fractal dimension trajectory.

通常语音信号的短时分维轨迹是在固定帧长和帧移下计算的，这样得到的分维轨迹可能无法准确反映语音信号的分形特征。

Rhodedendron capitatum, R.thymifolium is maximum, the fractal dimensions of Form.

蒙古扁桃灌丛的分维分维最小，其格局是最简单的。

The simulation example of SMA-13 shows that real road surface texture has the nearly same fractal dimensions with corresponding FIF curve and the application of FIF method in erose curve simulation is feasible.

通过对分形插值函数构成算法和纵向压缩因子取值方法的研究，给出了基于分形插值函数的路断面构造模拟方法和MATLAB语言编制的模拟流程图；对SMA-13马歇尔试件断面构造的拟合分析表明，实际路面断面构造和分形插值曲线在精度范围内具有一致的分维数，说明分形插值方法对路面断面构造等不规则曲线的拟合具有良好的适用性。

The results show that the PSD fractal dimension of Light chestnut soil, Yellow cultivated loessial soil, Orthic dark locssial soil, Orthic cinnamon soil (stratified old manured loessial soil), Fluvo-aquic soil, Orthic gray desert soil, Orthic black soil, Orthic yellow-brown earth, Orthic yellow earth, Orthic ted earth and Orthic lateritic red...

结合上壤颗粒表面分形特性及土壤粘附的基本原理，探讨了土壤PSD分维对土壤—固体表面粘附行为的影响。PSD分维高的土壤与固体表面粘附力大，与固体表面发生明显粘附的起始含水量提高，发生明显粘附的含水量区间增宽。

Because change of volume reflected eroding process of watershed and surface change reflected change of topography surface, this model described relationship between watershed topograph and erosion.iv As a quantitative index of wateshed topography, topograph fractal demension can represent surface shape information of watershed topography in the round. Reseach find that watershed model and actual watershed show good fractal character. Topography fractal dimension related with process of development of watershed physiognomy and represented degree of watershed development, v Sediment yield intensity of watershed model reflected erosion characteristic of watershed model in different development phase.

流域模型产沙强度的变化反映了流域模型在不同发育阶段的侵蚀特征，模拟试验研究结果表明：在整个流域模型地貌地貌的发育过程中，其产沙强度呈现由小到大，然后又逐渐减小的总体趋势，流域模型单位降雨产沙率及平均输沙率与地形分维数表现为Gaussian模型关系，其关系形式与结论3中相对体积和表面积之间关系相似，进一步说明了以地形分维数表达地形变化的合理性。

The experimental results and theoretical analysis show that the predicted value of interfacial bond strength of old-new concrete is more precise when the roughness of old concrete fracture surface is characterized with fractional dimension D.

利用自行研制的分维仪对试验后的老混凝土断裂面进行测试，并应用分形几何这一理论工具对测试结果进行分析，得到了老混凝土断裂面的分数维与新－老混凝土界面粘结强度的关系。

A time-delay reconstruction of a phase space equal to the original system has been made by analyzing of observed time series of current signal and vibratory signal, and the methods of choosing properly the embedding dimension and delay-time for phase space reconstruction have been studied in detail.

本文利用振动信号和电流信号时间序列，采用时间延迟法，重构了系统的等价相空间，并详细研究了嵌入维数及时间延迟的选择对重构相空间的影响，计算了铣削加工典型过程的Lyapunov指数谱，分析了系统的混沌特性；同时采用P-G算法，计算了混沌动力系统的奇异吸引子的分维数，分析了分维数与系统状态的关系，定量地指示出系统的混沌程度，同时也反映出系统的不可预报程度。

It is revealed that there is an evident fractal character for urban thermal surface profiles. The fractal dimensions in eight directions are between 1.530 0 and 1.780 6, which reveal the complexity of different thermal profiles. By analyzing the factors to UHI, thermal fractal characters are mainly due to the scope and shape of builtup area and land surface properties.

热场表面剖面线的分维数揭示了3个方面的意义：首先不同的分维数反映热场不同方向上温度变化的复杂程度；其次，相对于城市中心，反映不同方向上城市边界形态的差异性；第三，进一步揭示不同方向上，下垫面土地利用类型空间组合变化的复杂程度。

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。