In nano-tribology, the fractal geometry theory is widely used presently.
在纳米摩擦学中，目前应用得比较多的是分形几何理论。
So, electric polarization feature of coal has been further studied by using fractal geometry theory of time.
作者据此利用时间分形几何理论对煤的电极化性质进行了进一步的探讨。
The fractal geometry theory will be relatively well applied to the quantitative modeling and simulation of the sedimentary bodies.
分形几何学理论在沉积体定量建模和模拟方面具有较好的应用前景。
A fractal prediction model of sliding friction forces was derived based on the fractal geometry theory. The validity of the model was verified theoretically.
基于分形几何理论，推导出了滑动摩擦力分形预测模型，并从理论上对该模型的正确性进行了分析。
The relations between the size of coal lump fractal, surface cranny fractal and density of blasting energy were roughly analyzed by means of the fractal geometry theory.
应用分形理论初步分析了分形块度、表面裂隙分维与爆破能量密度的关系；
According to the fractal geometry theory and the non-compressed viscous fluid laminar flow theory, the leakage model of metallic gasket based on fractal parameter was established.
依据分形几何理论，结合不可压缩粘性流体层流流动理论，建立基于分形参数的金属垫片泄漏模型，该模型揭示了泄漏率与密封表面形貌之间的关系。
This paper discusses the application of fractal geometry theory in ferrography monitoring technology like the identification of wear particles, the calculation of fractal dimension and so on.
文章就在铁谱监测技术中应用分形理论，诸如磨粒识别、分形维数计算等方面进行了初步探讨。
Based on the fractal geometry theory and the survey of the on-site rock mass, the statistical analysis, the network simulation and the fractal dimension calculation of the structural planes were made.
基于分形理论和现场岩体结构面调查，对岩体结构面进行了统计分析、网络模拟和分形维数计算。
The expansion mechanism of hardened cement paste with double expansion sources of entringite and brucite was studied by using theory of fractal geometry and viscoelasticity.
应用分形学与粘弹性力学对含钙矾石和水镁石膨胀源的水泥硬化浆体的膨胀机理进行了研究与分析。
As a mathematic tool of modeling natural geometry, fractal theory has been found wide applications in varied fields with great success.
分形理论作为一种描述客观世界的几何工具，在短短的时间内已成功应用于许多学科。
The fractal design of antennas is the combination of electromagnetic theory and geometry.
天线的分形设计是电磁理论与几何学的融合。
Because it is closely related to the chaos theory and fractal geometry, there are increasing interest not only in the mathematics but also in the other relating fields.
由于它与浑沌理论、分形几何等领域有着紧密的联系，因此引起了数学界和其它领域的巨大兴趣和关注。
In this paper, the relationship between theory of fractal geometry and theory of quotient space is discussed and a new model which combines the character of granularity and fractal is put forward.
本文讨论分形几何与商空间理论的关系，提出商分形的概念，并讨论分形图的逼近与商空间粒度计算之间的关系。
Fractal theory which derived from the expanding of fractal geometry to application fields have been influencing greatly natural science and even fields of philosophy, history, art and culture.
由分形几何学衍生推广至应用领域而形成的分形理论对自然科学乃至哲学、历史、艺术、文化等领域产生了重大的影响。
Based on the fractal geometry, we discussed the coding method of digital images. And we compressed images by the fractal theory in computer.
从分形几何这一数学理论入手，分析了图象数据和分形几何的关系，建立图象的分形几何模型，并通过计算机模拟，实现图象的压缩算法。
It sums up some fractal algorithm on the basis of mastering the base knowledge of the fractal theory and dimension of the fractal geometry.
在了解分形理论的基本知识和分形几何的维数的基础上，对分形图形的算法作了总结。
Fractal geometry, combining with classic electromagnetic theory, has produced the fractal antenna system theory.
分形几何与经典的电磁理论结合产生了分形天线系统理论。
On the basis of generalizing the fractal theory, Euclid geometry mould and the discentral barrel finishing, L-System and the fractal characteristics of the grinder movement is analyzed.
在概括性地阐述分形理论、欧氏几何造型方法及离心式滚磨光整加工方法的基础上，重点分析了L系统分形造型方法和离心式滚磨加工过程中磨块运动的分形特性。
In this paper, the theory of fractal geometry is used to study the fractal characteristics of the particles size distribution in rock-disposal site.
本文引用分形几何理论研究了排土场废石块度分布的分形几何特征，讨论了废石块度分布的分数维计算方法。
The world hypostases (that is, self-similarity of the part and the whole in a system) is revealed with fractal theory which is known as the geometry of nature.
分形理论揭示了世界的本质即部分与整体的自相似性，它被誉为大自然的几何学。
Methods Referring to the result of the former researcher, the new model was set up using the theory of fractal geometry and verified by means of experimental results.
方法结合前人的研究成果，利用分形几何学理论建立新的团聚模型，并用实验结果加以验证。
The simulation curve and test curve of frost heave are analyzed by using the theory of fractal geometry, and it is shown that the curve of frost heave is of self-comparability.
采用分形几何理论研究了冻胀曲线的分形性质，发现冻胀曲线同样具备自相似性。
This paper gives a brief account of four themes of chaos theory, bound, fractal geometry fractal dimension, too limited predictability, universality.
该文简要介绍了混沌理论的四个主题：有界、极为有限的可预测性、分形与分维、普适性。
Chaos theory and Fractal geometry not only richened the language of design art, but complemented with their new concepts.
分形与混沌原理不仅丰富了设计艺术语言，还渗透进其观念。
Fractal theory is the most active branch of the non-linear science, what it concerns is non-smooth and non-differential geometry produced by complex systems.
分形理论是非线性系统理论中最为活跃的分支之一，研究的是复杂系统产生的不光滑、不可微分的复杂几何体。
Absrtact: the fractal theory is an effective tool to describe irregular geometry form and structure in nonlinear system and its application is greatly wide.
摘要：分形理论是描述非线性系统中不规则的几何形体的有效工具，应用领域十分广泛。
Absrtact: the fractal theory is an effective tool to describe irregular geometry form and structure in nonlinear system and its application is greatly wide.
摘要：分形理论是描述非线性系统中不规则的几何形体的有效工具，应用领域十分广泛。
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