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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Kelvin–Stokes theorem ： ウィキペディア英語版 Kelvin–Stokes theorem The Kelvin–Stokes theorem,〔This proof is based on the Lecture Notes given by Prof. Robert Scheichl (University of Bath, U.K) (), please refer the ()〕〔(This proof is also same to the proof shown in )〕〔 Nagayoshi Iwahori, et.al:"Bi-Bun-Seki-Bun-Gaku" Sho-Ka-Bou(jp) 1983/12 ISBN 978-4-7853-1039-4 ()(Written in Japanese)〕〔Atsuo Fujimoto;"Vector-Kai-Seki Gendai su-gaku rekucha zu. C(1)" Bai-Fu-Kan(jp)(1979/01) ISBN 978-4563004415 []〕 In particular, a vector field on can be considered as a 1-form in which case curl is the exterior derivative. ==Theorem== Let be a Piecewise smooth Jordan plane curve. The Jordan curve theorem implies that divides into two components, a compact one and another that is non-compact. Let denote the compact part that is bounded by and suppose is smooth, with . If is the space curve defined by 〔 and are both loops, however, is not necessarily a Jordan curve〕 and is a smooth vector field on , then:〔〔〔 :$\backslash oint\_\backslash Gamma\; \backslash mathbf\backslash ,\; \backslash cdot\backslash ,\; d\backslash ,\; \backslash cdot\backslash ,\; d\backslash mathbf$ 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「Kelvin–Stokes theorem」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.