翻訳と辞書 Words near each other ・ Linker DNA ・ Linker of activated T cells ・ Linkeroever ・ Linkers ・ Linkerskopf ・ LinkExchange ・ LinkExpats ・ Linkhim ・ Linki, Pomeranian Voivodeship ・ Linki, Warmian-Masurian Voivodeship ・ Linkiesta ・ Linkin Park ・ Linkin Park discography ・ Linking and intrusive R ・ Linking Interests of Families and Teachers ・ Linking number ・ Linking pin model ・ Linking Road, Mumbai ・ Linking verb ・ Linking Victoria ・ Linkinhorne ・ Linkins Lake ・ Linkinus ・ Linklater ・ Linklater, Manitoba ・ Linklaters ・ Linkless embedding ・ Linkletter ・ Linkletter Provincial Park ・ Linkletter, Prince Edward Island 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 Linking number ： ウィキペディア英語版 Linking number In mathematics, the linking number is a numerical invariant that describes the linking of two closed curves in three-dimensional space. Intuitively, the linking number represents the number of times that each curve winds around the other. The linking number is always an integer, but may be positive or negative depending on the orientation of the two curves. The linking number was introduced by Gauss in the form of the linking integral. It is an important object of study in knot theory, algebraic topology, and differential geometry, and has numerous applications in mathematics and science, including quantum mechanics, electromagnetism, and the study of DNA supercoiling. ==Definition== Any two closed curves in space, if allowed to pass through themselves but not each other, can be moved into exactly one of the following standard positions. This determines the linking number: Each curve may pass through itself during this motion, but the two curves must remain separated throughout. This is formalized as regular homotopy, which further requires that each curve be an ''immersion'', not just any map. However, this added condition does not change the definition of linking number (it does not matter if the curves are required to always be immersions or not), which is an example of an ''h''-principle (homotopy-principle), meaning that geometry reduces to topology. 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「Linking number」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.