翻訳と辞書 Words near each other ・ Knorre ・ Knorrendorf ・ Knorringia ・ Knorringite ・ Knorydy ・ Knorydy Górne ・ Knorydy Podleśne ・ Knorydy Średnie ・ Knossington ・ Knossos ・ Knossos (modern history) ・ KNOT ・ Knot ・ Knot (disambiguation) ・ Knot (hieroglyph) ・ Knot (mathematics) ・ Knot (papermaking) ・ Knot (unit) ・ Knot Ajaw ・ Knot complement ・ Knot density ・ Knot DNS ・ Knot energy ・ Knot Feeder ・ Knot garden ・ Knot Gneiss ・ Knot group ・ Knot in 3D ・ Knot invariant ・ Knot of Stone 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 Knot (mathematics) ： ウィキペディア英語版 Knot (mathematics) In mathematics, a knot is an embedding of a circle in 3-dimensional Euclidean space, R3 (also known as E3), considered up to continuous deformations (isotopies). A crucial difference between the standard mathematical and conventional notions of a knot is that mathematical knots are closed—there are no ends to tie or untie on a mathematical knot. Physical properties such as friction and thickness also do not apply, although there are mathematical definitions of a knot that take such properties into account. The term ''knot'' is also applied to embeddings of $S^j$ in $S^n$, especially in the case $j=n-2$. The branch of mathematics that studies knots is known as knot theory, and has many simple relations to graph theory. ==Formal definition== A knot is an embedding of the circle (S1) into three-dimensional Euclidean space (R3). or the 3-sphere, S3, since the 3-sphere is compact.〔, p. 33; , pp. 246–250.〕 Two knots are defined to be equivalent if there is an ambient isotopy between them. 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「Knot (mathematics)」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.