翻訳と辞書 Words near each other ・ Butterfly Burning ・ Butterfly bush ・ Butterfly Caught ・ Butterfly chair ・ Butterfly Child ・ Butterfly closure ・ Butterfly Cluster ・ Butterfly cluster compound ・ Butterfly coil ・ Butterfly Collectors ・ Butterfly Conservation ・ Butterfly count ・ Butterfly crab ・ Butterfly Crush ・ Butterfly curve ・ Butterfly curve (algebraic) ・ Butterfly curve (transcendental) ・ Butterfly Dance ・ Butterfly dance ・ Butterfly diagram ・ Butterfly doors ・ Butterfly Dreams ・ Butterfly Economics ・ Butterfly effect ・ Butterfly Effect (Ashley Roberts album) ・ Butterfly effect (disambiguation) ・ Butterfly Effect (song) ・ Butterfly effect in popular culture ・ Butterfly Explosion ・ Butterfly flower 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 Butterfly curve (algebraic) ： ウィキペディア英語版 Butterfly curve (algebraic) In mathematics, the algebraic butterfly curve is a plane algebraic curve of degree six, given by the equation :$x^6\; +\; y^6\; =\; x^2.\backslash ,\backslash !$ The butterfly curve has a single singularity with delta invariant three, which means it is a curve of genus seven. The only plane curves of genus seven are singular, since seven is not a triangular number, and the minimum degree for such a curve is six, so the butterfly curve aside from its appearance is possibly interesting as an example. The butterfly curve has branching number and multiplicity two, and hence the singularity link has two components, pictured at right. The area of the algebraic butterfly curve is given by (with gamma function $\backslash Gamma$) :$4\; \backslash cdot\; \backslash int\_0^1\; (x^2\; -\; x^6)^\}\; dx\; =\; \backslash frac)\; \backslash cdot\; \backslash Gamma(\backslash frac)\}\{3\; \backslash sqrt\{\backslash pi\}\}\; \backslash approx\; 2.804,$ and its arc length ''s'' by :$s\; \backslash approx\; 9.017.$ ==See also== * Butterfly curve (transcendental) 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「Butterfly curve (algebraic)」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.