翻訳と辞書 Words near each other ・ Mutasarrifate of Jerusalem ・ Mutasarrıf ・ Mutase ・ Mutasiva of Anuradhapura ・ Mutassim Gaddafi ・ Mutate (comics) ・ Mutated citrullinated vimentin ・ Mutathiini ・ Mutathura Mahadever Temple ・ Mutating Mutants ・ Mutation ・ Mutation (algebra) ・ Mutation (disambiguation) ・ Mutation (genetic algorithm) ・ Mutation (Jordan algebra) ・ Mutation (knot theory) ・ Mutation (novel) ・ Mutation breeding ・ Mutation frequency ・ Mutation Frequency Decline ・ Mutation Nation ・ Mutation rate ・ Mutation research ・ Mutation Research (journal) ・ Mutation Sensation ・ Mutation testing ・ Mutational meltdown ・ Mutationism ・ Mutations (Beck album) ・ Mutations (Fight album) Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Mutation (knot theory) ： ウィキペディア英語版 Mutation (knot theory) In the mathematical field of knot theory, a mutation is an operation on a knot that can produce different knots. Suppose ''K'' is a knot given in the form of a knot diagram. Consider a disc ''D'' in the projection plane of the diagram whose boundary circle intersects ''K'' exactly four times. We may suppose that (after planar isotopy) the disc is geometrically round and the four points of intersection on its boundary with ''K'' are equally spaced. The part of the knot inside the disc is a tangle. There are two reflections that switch pairs of endpoints of the tangle. There is also a rotation that results from composition of the reflections. A mutation replaces the original tangle by a tangle given by any of these operations. The result will always be a knot and is called a mutant of ''K''. Mutants can be difficult to distinguish as they have a number of the same invariants. They have the same hyperbolic volume (by a result of Ruberman), and have the same HOMFLY polynomials. ==Examples== * Conway and Kinoshita-Terasaka mutant pair, distinguished as knot genus 3 and 2, respectively. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Mutation (knot theory)」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.