请输入您要查询的英文单词:

 

单词 Isotopy invariant
释义

Isotopy invariant

英语百科

Knot invariant

(重定向自Isotopy invariant)
Prime knots are organized by the crossing number invariant.

In the mathematical field of knot theory, a knot invariant is a quantity (in a broad sense) defined for each knot which is the same for equivalent knots. The equivalence is often given by ambient isotopy but can be given by homeomorphism. Some invariants are indeed numbers, but invariants can range from the simple, such as a yes/no answer, to those as complex as a homology theory . Research on invariants is not only motivated by the basic problem of distinguishing one knot from another but also to understand fundamental properties of knots and their relations to other branches of mathematics.

随便看

 

英汉双解词典包含3607232条英汉词条,基本涵盖了全部常用单词的翻译及用法,是英语学习的有利工具。

 

Copyright © 2004-2022 Newdu.com All Rights Reserved
京ICP备09058993号 更新时间:2025/8/8 17:38:52