He did not grant independent existence to the non-euclidean geometries . 他不承認非歐幾里德幾何的獨立存在性。
The advent of the theory of relativity forced a drastic change in the attitude toward non-euclidean geometry . 相對論的發現迫使對待非歐幾里德幾何的態度有激烈的變化。
It was this concept that riemann generalized, thereby opening up new vistas in non-euclidean geometry . 這個概念嗣后為Riemann所推廣,從而在非歐幾里德幾何學中開辟了新前景。
But none of the mathematicians believed that these basic non-euclidean geometries would be physically significant . 但數學家們無人相信這些基本的非歐幾里德幾何必然有物理意義。
Gaussian intrinsic differential geometry and non - euclidean geometry 高斯的內蘊微分幾何與非歐幾何
This cumulative development of mathematics applies especially to non - euclidean geometry 這種數學積累的發展特別適用于非euclid幾何。
It was this concept that riemann generalized , thereby opening up new vistas in non - euclidean geometry 這個概念嗣后為riemann所推廣,從而在非歐幾里德幾何學中開辟了新前景。
Another reason for the loss of interest in the non - euclidean geometries was their seeming lack of relevance to the physical world 對非euclid幾何失去興趣的另外一個原因是它們似乎缺乏與物質世界的關聯。
Aim to study the relations between the thought of gaussian intrinsic differential geometry and gauss ' s earlier research on non - euclidean geometry 摘要目的分析與研究高斯關于非歐幾何的研究和內蘊微分幾何思想之間的聯系。
In mathematics, non-Euclidean geometry is a small set of geometries based on axioms closely related to those specifying Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises when either the metric requirement is relaxed, or the parallel postulate is set aside.