查询词典 fractal dimension

The box-counting fractal dimension and information fractal dimension of beef marbling were estimated in order to find out a new parameter for the quantitative description of the distribution of marbling fat.

通过对牛肉大理石花纹图像分形特征的分析及分形维数的测定，试图以分形维对牛肉大理石花纹的分布特征进行定量描述。

Recently more than 10 years, a new fractal geometry, the space is not necessarily integral dimension, and the existence of a fractal dimension, which is a breakthrough in geometry, a mathematician and natural sciences were aroused great concern.

最近十几年的，产生了新兴的分形几何学，空间具有不一定是整数的维，而存在一个分数维数，这是几何学的新突破，引起了数学家和自然科学者的极大关注。

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。

According to SAK model, a relation between the fractal dimension and the attractive energy is derived, which indicates that the fractal dimension decreases as the attractive energy increasing.

根据SAK模型导出了分维度与相互作用能的关系，结果表明：随着粒子间相互吸引能的增加，聚集的分维度减小。

The fractal dimension and tortuosity of trajectory are analyzed. The method of calculating the fractal dimension of trajectory is developed.

分析了孔道轴向分形维数与孔道空间曲折性的关系，建立了关联色谱固定相内孔道轴向分形维数的计算式。

Main factors in different seasons have been known, Fractal character of the distribution pattern. the Box dimension, Information dimension and corelative dimension of the D.

有鉴于此，本文以三江平原草地的优势植物小叶章为研究对象，选择典型草甸、沼泽化草甸、沼泽三个具有代表性的小叶章群落。

Secondly, it is not the same fractal diagram by the same codes of IFS to produce fractal diagram. The two graphs are extraordinary similar, but they are different in detail. The problem is researched and the algorithm which calculates the intersection points of two graphs created by the same coefficient of the IFS is proposed. The curve described changing of the intersection points number is drawn. The conclusion is that the curve fluctuates in the tiny range and is smooth when it is seen as a whole. In fact, the curve is a fractal curve.

其次，针对同一IFS迭代码两次迭代绘制得到的分形图并非完全相同这一问题展开研究，提出了IFS分形覆盖相交交点变化曲线的概念，给出了覆盖相交交点变化曲线的绘制算法，在此基础上进一步研究了分形覆盖相交交点变化曲线的变化率情况，得到了分形覆盖相交交点变化曲线宏观上比较光滑，但实际上小范围内异常波动的实验结果。

Based on investigating the short and intermittent structural plane, surrounding rockmass of the huge underground powerhouse in Three Gorge has been divided into five statistical similar areas according to its characteristic of rockmass structure by applying structure plane network simulation. Distributed characteristic of structural plane has been studied and based on it mechanics macrocharacteristic has been studied:(1) It is the first time that based on the result of structural plane network simulation rockmass quality of every structure area has been studied with applying blurred information optimum seeking technique and be compared with and RQD method. The result indicated that it has better effect to evaluate rock quality with blurred information optimum seeking technique.(2) It is the first time that the interrelated relationship of the result of in-suit rockmass deformation test and fractal characteristic of structure on test point has been applied to determine rockmass deformation parameter. The question of evaluating deformation parameters of engineering rockmass has been solved.(3) Anisotropy strength parameters have been determined by applying shear zones simulating method. The result indicated that there are different strength parameters in every structural area, after comparing the result of Fast Lagranian Analysis in continua number simulation method with that of method of weighted mean according to continuity. The result indicated that when a suitable reduction coefficient is been considered rockmass strength parameters can be simply and fast determined with method of weighted mean according to continuity where there is not enough test result.(4) Damage characteristic has been studied based on analysis fractal characteristic of structural plane network by applying fractal-damage coupling method. It is the first time that the concept of damage degree has been set up to evaluate rockmass quality according to the biggest principal damage.

通过对短小、断续性结构面统计特征的研究，将地下厂房区划分为五个岩体结构统计均质区，应用结构面网络模拟技术研究了各个岩体结构均质区结构面的发育分布特征，并以此为基础对岩体宏观力学特性进行了深入研究：(1)首次通过在结构面网络模拟计算结果的基础上，应用模糊信息优化技术研究了厂房区各个岩体结构分区的岩体质量并与岩体基本质量指标研究法、岩体质量指标RQD值研究法作了对比，结果表明以结构面网络模拟结果为基础，应用模糊信息优化技术进行岩体质量评价能够取得很好的效果，解决了工程岩体质量的定量评价问题；(2)首次通过对已有的现场大型岩体变形试验结果的分析及相应试验点岩体结构分形特征的研究，建立了结构面分布的分形维数和岩体变形指标间的相关关系，并首次应用这种相关关系根据结构面网络模拟及分形维数计算结果确定了缺少试验结果的地下厂房各工程部位的岩体变形指标而且应用于围岩稳定性计算，解决了工程岩体宏观变形参数的评价问题；(3)应用在结构面模拟网络图上模拟岩体剪切破坏带的方法，得出了岩体在不同方向上的强度参数，结果表明岩体的强度特性与结构面的发育方向和程度有着明显的关系，各个岩体结构均质区具有不同的强度参数；同时还通过应用拉格朗日差分法对岩体强度指标的数值分析并与按连通率加权平均计算法对比表明，按连通率加权平均计算法在考虑合理的折减系数情况下，可以简单快速地对缺少现场大型试验结果的具体工程部位实现岩体强度指标的估计，通过以上研究解决了工程岩体抗剪强度参数的评价问题；(4)通过结构面网络分形维数的研究，应用分形损伤耦合分析方法，研究了厂房区岩体的损伤特征，并首次引入"损伤度"的概念，建立了应用最大主损伤评价岩体质量的指标体系。

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。

The third one is that fracture fractal of wood cells is analyzed by SEM. It is found that the fracture of some cells has fractal characteristics, and latter research can focus on studying quantitatively the micromechanics behaviors by fractal theory.

第三部分，对扫描电镜下拍摄的木材细胞断口进行了分形分析，发现某些细胞的断口具有分形特征，今后可以进一步尝试应用分形理论定量研究木材的微观力学行为。

Therefore, it is imperative that you need to be prepared for the great change that is about to occur.

所以，你需要为快要出现的伟大改变准备好，这是必要的。

If u agree with our suggestion of dicker trade,we will exchange paper with u wood.

如果你方同意我们进行易货贸易的建议，我们将用纸与你们交换木材。