几何基础

Gauss给Riemann指定把几何基础作为他应该发表的就职演说的题目。

Gauss assigned to Riemann the subject of the foundations of geometry as the one on which he should deliver his qualifying lecture .

几何基础教学中的一些体会

Some experiences in teaching foundations of geometry

相空间中力学系统的非Noether守恒律的几何基础（英文）

Geometric Foundations of A Non-Noether Conservation Law for Mechanical Systems in Phase Space ;

该方法为后续网格优化和曲面重建算法建立了几何基础，同时也降低了STL文件的冗余数据。

This method has established geometric foundation for subsequent algorithm of mesh surface optimization and reconstruction , and also has reduced redundant data of STL files . 2 .

研究了相空间中力学系统的运动微分方程的非Noether守恒律的几何基础。

The geometric foundations of a non-Noether conservation law obtained by Mei , for differential equations of motion of mechanical systems in phase space , are given .

代数结构与几何基础Ⅰ&域上的射影几何

Algebraic Structure and Geometry Foundation ⅰ── Projective Geometry on a Field

首先，本文介绍了非线性控制的几何基础。

First , geometric basis of nonlinear control is introduced .

论狭义相对论间隔概念的几何基础

On the geometric foundation of interval in special relativity theory

代数结构与几何基础Ⅳ&仿射几何的公理体系

Algebraic Structure and foundation of Geometry (ⅳ) & The Axiom System of Affine Geometry

从相对到绝对关于几何基础的几个哲学问题

From the Relativity to the Absolute , on Some Philosophical Problems of Fundamentals of Geometry

从而为有限元分析计算提供了几何基础和所需数据。

These efforts result in provisions of geometric basis and data needed by following finite element analysis .

浅谈几何基础课的开设与取材

An Approach to the offering of " Foundation of Geometry " and the choice of its materials

在求得零状态几何基础上采用控制索应力方法求出每级张拉控制力对应索原长；

With the structural form under the initial status , the initial cable length under prestressed status can be found using the cable stress control method .

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 spe-cial difficulties in the teaching of solid geometry in middle schools .

编制了电算程序，完成了轮齿图形仿真，为弧齿锥齿轮的有限元建模、分析轮齿强度和动态响应提供了精确的几何基础。

The study will lay an accurate geometry foundation to develop a FEM model for such gears especially for the strength analysis and dynamic response of gears .

针对几何基础教材中存在的问题，我们将给出罗氏几何中与“异侧”这一概念相关的几个结论。

This paper aims at the problem existed in several foundation teaching materials in geometry , tries to give several conclusions related to the concept of different side in the Lobachvsky geometry .

根据星座空间几何基础，以及卫星对地面的覆盖情况以及点波束的形状，通过建立数学模型，提出了地面终端确定所在点波束的仿真算法；

According to the space geometry , the coverage of satellite constellation on earth , and the shape of spot beam , by building up mathematic model , a spot beam judgement simulation ( algorithm ) is proposed .

但作为一个复杂的动态大系统，城市系统具有多层次、复杂性、开放性等特点，使得建立在欧氏空间几何基础上的传统城市系统研究一直不够深入。

But as a complex dynamic system , the urban system has the features of multi-level , complexity , openness , etc. , which makes the traditional system based on Euclidean geometry of space of cities not be deep enough .

常规X射线成象技术是建立在吸收衬度和几何光学基础上。

Conventional X ray radiography is based on absorption contrast and assumes geometrical optics .

本文以n维射影几何为基础，用范畴与函子的观点讨论了射影几何中对偶原理与范畴论中对偶原理的一致性，同时还给出了互相对偶的对象NP与N（P）的构造。

In the paper we discuss consistency property of duality principles in the projective geometry categorical theory , and give constitution of dual objects N_p N_ ( p ) .

简单多边形的三角剖分（TSP）问题是计算几何的基础问题之一。

The Iriangulation of a simple polygon ( TSP ) is one of the basic problems in computational geometry .

以基态几何为基础，进行单激发组态相互作用（CIS）计算。

Based on such calculations , the single excited configuration interaction ( CIS ) method was performed to calculate the excited states related to absorptions .

本文在其中的前置处理器中选择NURBS作为几何信息基础进行数据交换，保证了数据的完整性。

The geometry data exchange was accomplished based on the NURBS in the post processor of the data interface , which guarantees the integrality of the data .

在物理光学（PO）和几何光学基础上，利用区域投影（AP）方法导出了一种新的高频混合方法－区域投影／物理光学（AP／PO）方法。

A novel hybrid high-frequence method of area projection / physical optics ( AP / PO ) technique is derived on the basis of physical optics ( PO ) and geometrical optics with area projection ( AP ) method used .

中国古代几何的基础

Foundation of geometry in ancient China

在符合实际情况的几何模型基础上，分析建立了内直角台阶成形过程的数学模型，求解得到各曲面的边界条件。

Based on actual geometrical model , mathematical model is built , and boundary condition is gained .

基于在解析几何的基础上确定了切线和交点的唯一性。

Based on the analysis , determine the unicity of point of tangency and point of intersection .

建立在画法几何模型基础上的机械手间接位置问题的解

A solution of the problem of the indirect position of robot arm on the basis of descriptive geometry model

事后来认识，我们能看到在几何的基础上，新的数必须包含四个分量。

With hindsight one can see on geometric grounds that the new " numbers " had to contain four components .

在含时密度泛函方法水平上，我们以分子的基态、激发态优化几何为基础分别研究了它们的吸收和磷光性质。

At the TD-DFT level , absorptions and phosphorescence properties of the studied molecules were calculated on the basis of the optimized ground-and excited-state geometries , respectively .