都是拜访老师，柏拉图到叙拉古之后，叙拉古宫廷的地板上都铺满了沙砾，人们热中于在那上面研究几何学。
Call on all teachers, Plato to Syracuse, Syracuse on the floor of the palace are covered with a gravel, it was keen on it in the above study of geometry.
分形几何是研究无限复杂但具有一定意义下自相似图形和结构的几何学。
Divides the shape geometry is the research infinite is complex but has under the certain significance from the similar figures and the structure geometry.
在几何学本身的研究中，重要性和恰当性是可见的。
The importance and relevance can be seen in the study of geometry itself.
雷恩·第斯卡兹发现一种用代数方法研究几何问题的方法，称为解析几何学。
Rene Descartes found a way to study geometric problems by methods of algebra called analytic geometry.
在超曲面几何学中，对主曲率的研究是至关重要的。
It is essential to study the principal curvature of hypersurface in the hypersurface geometry.
应用分形几何学的原理和方法对木榄幼苗的形态特征和生物量进行了研究。
By the use of the principles and methods of fractal geometry, the morphological character and biomass of?
最接近点对问题是空中交通控制系统应用中的一个重点问题，也是计算机几何学研究的基本问题之一。
Finding pair of dimensional points with the minimum distance is the key problem in the application of the air traffic control system and it is also a basic one of the computerized geometry study.
在赋范空间几何学的研究中，一个潜在的主题就是在更为一般的空间中寻找一个新的概念来替代欧式空间中的正交性。
During studying the geometry of normed Spaces, a potential subject is looking for a new concept in more general Spaces to replace the concept of orthogonality in Euclidean space.
分形几何学在图像数据压缩、模拟自然景物，艺术图案设计、分形生长及混沌动力系统的研究等方面有着广泛的应用。
Fractal is widely used in many fields such as the image data compression, simulation of natural scenery, the growing of fractal geometry and the research of chaos motility system.
分形几何学在物理学、生物学上的应用也正在成为有充实内容的研究领域。
Fractal geometry in physics, biological applications have enriched the content is becoming a field of study.
本文研究了三维服装CAD的几何学基础与服装数字化立体裁剪技术。
The paper researches the geometric base of the 3D garment CAD and the technology of digitized draping cutting of garment.
这些促使数学家进一步的研究，从而产生了分形几何学。
These mathematicians to further study, which had a fractal geometry.
问题出现了：在剑术中几何学研究和应用的目的意图是什么？
The question arises: What is the purpose of the study and application of geometry to swordsmanship?
本文在系统研究西缘北段构造带几何学的基础上，通过沉降史分析与岩石类型分析等方法，对其运动学进行解释。
In this paper, based on the study on the northern zone geometry, with the subsidence history and rock type analysis, kinematics of the northern zone has been interpreted.
本文研究了三维服装CAD的几何学基础与服装数字化立体裁剪技术。
The paper researches the geometric base of the 3d garment CAD and the technology of digitized draping cutting of...
但是，这个深入研究的行星状星云的范例，映射着类星体临近死亡的状态；被认为是个令人惊讶极其复杂的几何学。
But this well-studied example of a planetary nebula, produced near the end of the life of a sun-like star, is now understood to have a surprisingly complex geometry.
定理机器证明的研究已有将近50年的历史，并已经在数理逻辑、初等代数和几何学等学科取得显著成功。
There has been a lot of success in the study of automated theorem proving during the past 50 years.
画法几何学是研究空间几何问题图示法和图解法的一门学他是工程制图的理论基础。
Descriptive geometry of the problem is to study geometry of space and graphic icon of the law school he was an engineering drawing of the theoretical basis.
反之，几何学可以下许多好的界说，因为，它所研究的对象——空间，是一个异常抽象的对象。
Geometry, on the contrary, dealing with a theme so abstract as space, has an easy task in giving definitions.
MIFA法就是一种定量的分形几何学方法。本文应用MIFA法对塔里木盆地塔中地区志留系储层孔隙结构进行了研究。
The MIFA, as a fractal geometry method, is used to study the Silurian reservoir of Tazhong area in this paper.
从理论上研究了N_2和CO分子在双激光脉冲场中的准直电离以及分子几何学准直的具体机制。
We study dynamic alignment and alignment dependent ionization probabilities of N_2 and CO molecules in a double-pulse laser field, and the origin of molecular geometric alignment.
根据分形几何学的重要参数———分形维数可以反映复杂分形体空间分布的特征，将红柳地区构造层断层系作为一个平面集来进行分形维数的研究。
The fault system of structural horizon in Hongliu area was taken as a plane set to be studied with the fractal dimension.
着重从纺织几何学模型的建立、三维纺织复合材料的细观力学分析、实验研究和强度分析等几个方面介绍了三维纺织复合材料的力学性能研究的进展情况。
Of particular interest is the setting-up of the textile geometry model, the micromechanical analysis of the three-dimensional textile composite, experiment research and strength analysis.
分形几何学除了研究线性分形外，还研究具有自反转性质的不规则图形的非线性问题。
The fractal geometry includes not only the linear fractal problems, but those non-linear ones of irregular figures with self-reverse.
除了深、大断裂等复杂断层以外，研究一般断层都需利用岩层、岩脉等各自的迹线。迹线的产状实质上是空间二斜面相交线的产状，属于立体几何学等数学范畴。
The respective trace of rock bed, vein must be utilized usually in the study on a fault except the complicated fault, such as deep and big fault.
分形几何学是研究破碎而不规则的事物或现象的理论。
Fractal theory is used to research the fragment and irregular phenomena.
分形几何被称为大自然的几何学。其研究对象是破碎的、不光滑的和不规则的几何物体，但在不同的尺度下看它，却具有相同或相近的结构。
Its object is broken, not smooth and irregular geometric objects, but in different scales reading it, but with the same or similar structure.
分形几何被称为大自然的几何学。其研究对象是破碎的、不光滑的和不规则的几何物体，但在不同的尺度下看它，却具有相同或相近的结构。
Its object is broken, not smooth and irregular geometric objects, but in different scales reading it, but with the same or similar structure.
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