分维

Keywords Differential coefficient of fractal dimension,fuzzy identify,,,,,reasoning frame,attribute clustering,VC theory,SVM leaming,neurai network,,,,,three layered ANN caPacity,quadratic mapping.

Article From 中国科学院软件研究所；计算机软件与理论博士论文 2001年度分维微分；模糊判别；推理框架；属性聚类； VC理论； SVM学；习；神经网络；三层ANN容量；二次型映射。

Next, it has used a non-linear elastic analysis method and setup an economical elasticity of fractal dimension model. By means of the model, the paper has given a positive analysis on the long-term fluctuation of the national economic growth for both countries, which it has fund that some existed quasi periodic rules and illustrated macroeconomic policy mechanism under the uncertainty conditions.

其次，利用了非线性弹性分析的方法，建立了经济弹性分维模型对中美两国经济增长的长期波动情况加以实证研究，发现了投资与财政对于两国长期经济增长的拟周期性的一些规律，揭示了不确定性条件下存在的宏观政策机制。

Based on the energy features of seismic signals and generalized fractal, a novel algorithm of arrival time detection for seismogram was presented in this paper.

基于地震信号的能量特征及广义分维的思想，给出一种新的地震信号初至估计算法。

Fractal dimension ; Grey system ; Log data ; Power spectral analysis ; Normal distribution

分维；灰色理论；测井数据；功率谱分析；正态分布

In order to solve this problem, a dynamic frame step method is proposed during the process of fractal dimension computation.

为了解决这一问题，我们提出动态帧移的方法，在分维轨迹计算过程中随信号的局部特征动态地选取帧移。

In this paper, by discussing the basic hypotheses about the continuous orbit and discrete orbit in two research directions of the background medium theory for celestial body motion, the concrete equation forms and their summary of the theoretic frame of celestial body motion are introduced. Future more, by discussing the general form of Binet's equation of celestial body motion orbit and it's solution of the advance of the perihelion of planets, the relations and differences between the continuous orbit theory and Newton's gravitation theory and Einstein's general relativity are given. And by discussing the fractional-dimension expanded equation for the celestial body motion orbits, the concrete equations and the prophesy data of discrete orbit or stable orbits of celestial bodies which included the planets in the Solar system, satellites in the Uranian system, satellites in the Earth system and satellites obtaining the Moon obtaining from discrete orbit theory are given too.

摘 要：通过讨论天体运行背景介质理论的连续轨道及离散轨道这二个研究方向的基础假设，介绍了天体运行轨道的具体方程形式及理论框架概要；进一步地通过讨论天体运行轨道 Binet 方程的一般形式及其行星近日点进动角的解，给出了连续轨道理论与 Newton 理论及 Einstein 广义相对论的联系与区别；通过讨论天体运行轨道的分维扩展方程，给出了包括太阳系行星、天王星卫星、地球卫星、绕月航天器等在内的离散轨道方程及其预言数据。

The more the value of D is closer to the critical value, the more the stability of land use type is worse, and the complexity of land use type is higher; verse vice.

分维值越接近该临界值，该土地利用类型的稳定性越差，复杂程度越高；反之，则该土地利用类型的稳定性较强，复杂程度较强，复杂程度较低。

Urban systems ; allometric growth ; urban land-human relationships ; fractal ; Shandong Province

城市体系；异速生长；城市人-地关系；分维；山东省

Urban structure ; urban system ; allometric growth ; C-D function ; fractals ; Zhengzhou city

城市结构；城市体系；异速生长； C-D函数；分维；郑州市

The process of feature extraction is to transform the eradiate noise signal to different feature space and extract the feature vectors that reflect the category of the input sample. The extracted features are the input modes to the classifier. Through the inspecting, the author selected three methods of eradiate noise's feature extraction.

本文作者经过考察，采用了三种前期研究中较为有效的水下目标特征提取方法——基于功率谱估计的线谱特征提取方法、基于小波分析的不同频段内能量特征提取方法和基于水声信号分维特性的特征提取方法。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐