He did not grant independent existence to the non-euclidean geometries . 他不承認(rèn)非歐幾里德幾何的獨(dú)立存在性。
The advent of the theory of relativity forced a drastic change in the attitude toward non-euclidean geometry . 相對(duì)論的發(fā)現(xiàn)迫使對(duì)待非歐幾里德幾何的態(tài)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(gè)概念嗣后為Riemann所推廣,從而在非歐幾里德幾何學(xué)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(shù)學(xué)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(nèi)蘊(yùn)微分幾何與非歐幾何
This cumulative development of mathematics applies especially to non - euclidean geometry 這種數(shù)學(xué)積累的發(fā)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(gè)概念嗣后為riemann所推廣,從而在非歐幾里德幾何學(xué)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(duì)非euclid幾何失去興趣的另外一個(gè)原因是它們似乎缺乏與物質(zhì)世界的關(guān)聯(lián)。
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(guān)于非歐幾何的研究和內(nèi)蘊(yùn)微分幾何思想之間的聯(lián)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.