维数

These issues are mostly difficult to solve according to the general study of mathematical models, but the Monte-carlo method is very convenient for calculating Multiple Integral of low dimension in regular domain of integration or complex range or even non-connected region.

这类问题绝大多数按数学的研究处理模式出发，都是难以解决的，而蒙特卡罗方法对计算高维空间中维数不很高且积分区域是规则的积分、以及复杂区间甚至不连通的区域上的积分都却是很方便的。

In the research area, Barkol Lake Area, situated in the Barkol Basin of Xinjiang,China, 7 landscape elements were derived from pseudo color Landsat TM in 2000 by image enhancement and interpretation. Based on GIS and theory of the landscape ecology, secelected fractal dimension,separation, diversity Shannon-weaver, degree of consistency, degree of fracture and dominancy index, analyze the spatial pattern of the landscape.

运用景观生态学原理，借助地理信息系统，以LANDSAT TM标准假彩色合成影像数据作为主要信息源，经过图像增强处理和解译，结合各类地理统计数据，将研究区划分为7个景观类型，采用分离度、景观分维数、多样性、均匀性、破碎性、优势度等项景观指标分析了研究区的景观空间格局特征。

The nonlinear dynamical characteristics of respiratory variables recorded from male subjects during rest were analyzed.

首先应用混沌计算方法：关联维数D2和最大李亚普努夫指数LLE，以及替代数据分析法，分析了男性受试者在平静状态下记录的呼吸系统时间序列的混沌特征。

Furthermore, the improved algorithm has better robustness due to increasing of eigenvector dimensions on the basis of original one

由于在原有基础上增加了其特征向量的维数，因而具有更好的鲁棒性。

At the beginning of this paper we are devoted to studying the equicontinuity on the set of periodic points. Later we are researching on the property of the invariant set and measures dimension of the self-similiar IFS.

本文前面一部分主要着眼于连续映射在其周期点集上的等度连续性的研究，后面一部分主要涉及到相似迭代函数系统不变集性质和测度的维数的研究。

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。

Two main factors of estimation error of fractal dimension are analyzed by using computer simulations.

通过仿真实验，对影响分形维数算法误差的两个主要因素作了定量分析。

Further more, the fractal feature of acid treated RDF residue is also discussed. The surface of residue seems smoother and form Euclidean plane after acid treatment.

对半焦的分形维数分析表明，酸洗后表面变得光滑，形成欧氏平面。

According to characteristics of exciter field current,the fractal no-scale range was determined and box counting dimension algorithm was given.

根据励磁机励磁电流采样信号的特点，确定了分形无标度区，给出了盒维数算法。

This paper is about how to establish the parallel frame of curves in R~n by using the method of exponential matrix function.

本文介绍了如何用指数矩阵函数的方法建立R~n中曲线的平行标架，用此种方法可以很容易建立任意维数空间中曲线的平行标架。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。