In this paper the authors generalize 1-independentvariable the integral inequalities by Gronwall and establish the integral inequalities in the n-dimensional Euclidean space R~n.
将一维函数的Gronwall不等式推广到了n维欧几里得空间。
In this paper,the operation of vectors of Euclidean space Rn has been carried on the new definition and two inequalities about the operation of vectors are given.
对欧几里得空间Rn中的向量定义了新的运算,推出了两个关于向量运算的不等式。
A Method of Establishing Duality Principle for Euclidean Space
欧几里得空间建立对偶原理的一种方法
It has been proved that the nature of independence exists in the axiomatic system of Group、Euclidean space、distance space and topological space.
本文证明了:群、欧几里得空间、距离空间和拓扑空间的公理系统的独立性。
a non-Euclidean geometry that regards space is like a sphere and a line is a great circle.
视空间为球而线为圆圈的非欧几里得几何学。
plane Euclidean geometry
平面欧几里得几何学
n-dimensional Euclidean geometry
ｎ维欧几里得几何学
noneuclidean geometry
非欧几里得几何(学)
the postulates of Euclideangeometry
欧几里得几何学的公设.
Euclidean body (=rigid solid)
欧几里得体,刚性体
a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional.
满足欧几里得公理和定义的区间；一种线性且有限维的区间。
There was almost no room to move inside it.
飞行器里面狭小得几乎没有移动的空间。
n-dimensional Euclidean geometry in the wide sense
广义ｎ维欧几里得几何学
relating to geometry as developed by Euclid.
关于欧几里得发展的几何学的。
geometry based on axioms different from Euclid's.
基于不同于欧几里得公理的几何学。
pioneer of non-Euclidean geometry (1826-1866).
（1826－1866）非欧几里得几何的创立者。
Euclid requires no prior study of mathematics.
阅读欧几里得几何学无须先学习数学，
Elements of Geometry in Chinese View;
中国人眼中的欧几里得《几何原本》
of or relating to Riemann's non-Euclidean geometry.
属于或关于黎曼几何学而非欧几里得几何学的。
The Elements of Euclid and the Classical Axiom Method of Geometry
欧几里得的《几何原本》及几何学古典公理法
