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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 Topologist's sine curve ： ウィキペディア英語版 Topologist's sine curve In the branch of mathematics known as topology, the topologist's sine curve is a topological space with several interesting properties that make it an important textbook example. It can be defined as the graph of the function sin(1/''x'') on the half-open interval (0, 1], together with the origin, under the topology induced from the Euclidean plane: :$T\; =\; \backslash left\backslash \; \backslash right\; )\; :\; x\; \backslash in\; (0,1]\; \backslash right\backslash \}\; \backslash cup\; \backslash .$ ==Image of the curve== As ''x'' approaches zero from the right, the magnitude of the rate of change of 1/''x'' increases. This is why the frequency of the sine wave increases as one moves to the left in the graph. 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「Topologist's sine curve」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.