几何的

This is to be seen in the context of the axiomatization of the whole of pure mathematics , which went on in the period c.1900 c.1950: in principle all methods are on a common axiomatic footing.

笛卡儿的做法目前占主导地位，有几何的问题正在处理的工具，其他地区的数学和几何理论的相当开放和综合。

And then, we review the history, development and actuality of the discrete differential geometry and subdivision method.

第一章介绍了古典微分几何的思想、历史与发展等情况；回顾了离散微分几何的思想起源与发展情况；介绍了细分的思想、历史与发展情况。

According to the principle of fractal geometry, the fractal models for describing the pore size distribution and capillary pressure curve were developed.

应用分形几何的原理，推导了储层岩石不同孔隙分布和毛细管压力曲线的分形几何模型。

In this paper, after introduction of the basic concepts, the main results on Geometry of Matrices and the developmental survey on Linear Preserver Problems, we characterize some important additive preserver maps by using the fundamental theorem of Geometry of Matrices.

本文在介绍了矩阵几何的基本概念、主要成果及线性保持问题的发展概况之后，应用矩阵几何刻划了几类重要的加法保持问题。

For a geometry and its group, an element of the group is sometimes called a ''' motion ''' of the geometry.

对于一个几何和它的群，群的一个元素有时叫做该几何的一个'''运动'''。

It is also considered to study the Finsler geometry which deal with the Chern''s connection、flag curvature、Ricci scalar of Finsler manifolds、Finsler submanifold geometry, and harmonic maps between Finsler manifolds.

研究芬斯勒几何的某些问题，包括芬斯勒流形的陈省身联络、旗曲率、Ricci数量、芬斯勒子流形几何以及芬斯勒流形间的调和映射等。

The appearance of paradox of set theory makes this problem more poignant.

欧几里得几何是第一个公理化体系，非欧几何的出现促使人们对它的基础作了严格审视，其中希尔伯特公理化方法最为成功；但它的相容性问题一直没有解决，集合论悖论使得这个问题更加尖锐。

Currently, theories of partial geometries are abundant, while that of general-geometries are much fewer.

目前关于偏几何的理论已经非常丰富，但关于一般的-几何的结果却少得多。

This dominant view was overturned by the revolutionary discovery of non-Euclidean geometry in the works of Gauss, Bolyai , and Lobachevsky , who demonstrated that ordinary Euclidean space is only one possibility for development of geometry.

这主要观点被推翻革命发现非欧几里德几何的作品高斯，波尔约和罗巴切夫斯基，谁表明，普通的欧氏空间只有一个发展的可能性几何。

The relationship of this geometry to Riemann's varieties was not clear.

这种几何和Riemann几何的关系是不清楚的。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。