首先，本文介绍了非线性控制的几何基础。
传统的煤层气渗流数学模型均是建立在欧几里德几何基础上的。
Conventional flow mathematical models of coalbed methane are all based on Euclidean geometry.
直线与平面是中学立体几何基础理论部分，也是教学中的重点与难点。
Straight line and plane are two basic concepts of geometry; they are also two special difficulties in the teaching of solid geometry in middle schools.
许多图画是以简单的几何图案为基础的。
我们能做些什么来帮助孩子们学习数学和几何的基础知识？
What can we do to help children learn the basics of math and geometry?
由我们心中所想衍生出的，几何化的直线、曲线为基础的早期CAD，决定了整个20世纪的设计技术，工业生产和物品的复制和再生产。
Predating CAD, this geometric linear- and arc-based approach evolved out of the mental constructs of design technique, industrial fabrication, and reproduction of the objects of the 20th Century.
本章为下一章的变动几何约束网络理论的建立奠定了坚实的数学基础。
The chapter establishes mathematic basis of the theories of variational geometric constraints network, which is presented in the following chapter.
各项公理是几何学的基础。
学好平面几何是学好立体几何的基础。
Learning plane geometry well is the foundation of learning solid geometry well.
在对深沟球轴承几何参数及接触应力分析的基础上，给出了沟曲率半径系数的控制方程，并对轻、中、重系列轴承的外圈沟曲率半径系数的选取进行了探讨。
Based on the analysis of geometry parameters and contact stresses of the deep groove ball bearings, the control equation of groove curvature radius has been drawn out.
在一致性几何绕射理论基础上，采用等效电流的方法给出了有限锥体在完全极化平面波照射下后向散射场的散射极化矩阵表示式。
Based on the uniform geometrical theory of diffraction, the equivalent current is used to calculate the back scattering field for the finite cone.
最后，本文在研究结论和发现的基础上，对初中平面几何教学改革提出了两条切实可行的建议。
At the end of the dissertation, the researcher offers two proposals concerning Geometry teaching on the basis of the research findings.
几何光学是以光线为基础，研究光的传播和成像规律的一个重要的学科。
Geometric optical light is based on the spread of optical imaging and one of the important subjects.
我开始思考周围的空间结构出现的各种几何形状和如何作为设计的基础将它进行荣和。
I started to think about various geometries emerging from the architecture surrounding the space and how they might be reintegrated into it as the basis of a design.
本文以非线性连续体几何场论为理论基础，分析了无限大体中一个螺位错引起的应力场。
Based on the nonlinear geometry field theory of continuum mechanics, this paper analyzes the stress field due to a screw dislocation in an infinite medium.
高分辨率卫星影像成像几何模型是影像处理的基础和关键。
The geometrical model of high resolution satellite image is foundation to image processing.
该文描述了代数几何与ecc的数学基础及椭圆曲线离散对数问题困难性，讨论了ECC在电子商务中的安全应用。
This paper describes the mathematics base of algebraic geometry and ECC. It also discusses the elliptic curve discrete logarithm problem (ECDLP) and the security applications of ECC on E-commerce.
本文在三镜反射光学系统的几何光学理论基础上，尝试性进行了小尺寸、大视场、长焦距全反射系统的设计。
An all - reflective system with compact structure and wide field of view is designed on the basis of geometry optical theory.
采用特征对象化的设计思想，在特征造型和3维实体几何造型的基础上，研究液压集成块的3维参数化设计方法。
On the basis of Feature Modeling and 3d Solid Geometry Modeling, with the idea of Object-Oriented Product Design, a 3d Parametric Feature Modeling Method is applied to develop manifold.
但是，第一代和第二代高温超导导线几何形状的基础上平磁带具有很高的迟滞损失。
However, first- and second-generation high-temperature superconducting wires based on flat tape geometries have high hysteretic losses.
在简易柔性悬索桥桥型几何模型分析的基础上，对主索张力及其计算误差进行分析研究。
Based on the analysis of the geometrical models in a simple flexible suspension bridge, the skyline tension and its errors in calculation were analyzed.
这三条定律构成了所谓几何光学的基础。
These three laws form the basis of what is called geometrical optics.
本文在采用室内相似材料物理仿真模拟试验和非线性分形几何特征分析基础上，论述了榆次地裂缝的形成机理和基本发育特征与规律。
Based on indoor physical simulation and analyses of fractal geometrical characters, the mechanism of formation and the rule of basic development of the Yuci ground fissures are expatiated.
速度和碰撞的计算是在乒乓球检测的基础上采用几何方面的公式和算法实现。
We used formulas and methods of geometry to compute the speed and the depth of Table Tennis.
最后用几何优化法对泵房沉井基础的工程费估算作了应用性探讨。
Finally, the original cost estimation of open caisson pump house is made with the geometric optimization.
在所有的SCARA机器人有同样的几何学的同时，名字scara没有一几何的基础。
While all SCARA robots have the same geometry the name SCARA does not have a geometric basis.
本文在分析黎曼的几何思想的基础上，着重论述了它对数学和物理学两个领域所产生的深远影响。
The geometric thinking in the analysis Liman , on the basis of mathematics and physics it focuses on the two areas of the far-reaching implications.
本文在分析黎曼的几何思想的基础上，着重论述了它对数学和物理学两个领域所产生的深远影响。
The geometric thinking in the analysis Liman , on the basis of mathematics and physics it focuses on the two areas of the far-reaching implications.
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