翻訳と辞書 Words near each other ・ Half-Man (fairy tale) ・ Half-mast ・ Half-maximal concentration ・ Half-metal ・ Half-Mile Telescope ・ Half-Minute Hero ・ Half-month ・ Half-Moon Inn ・ Half-moon switch ・ Half-Mute ・ Half-normal distribution ・ Half-open file ・ Half-orc ・ Half-pass ・ Half-pay ・ Half-period ratio ・ Half-Pint (disambiguation) ・ Half-pipe ・ Half-Pipe Hustle ・ Half-pipe skiing ・ Half-precision floating-point format ・ Half-proof ・ Half-Rate Honeymoon ・ Half-ration Névé ・ Half-reaction ・ Half-rubber ・ Half-Sack Epps ・ Half-side formula ・ Half-smoke ・ Half-space 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 Half-period ratio ： ウィキペディア英語版 Half-period ratio In mathematics, the half-period ratio τ of an elliptic function ''j'' is the ratio :$\backslash tau\; =\; \backslash frac$ of the two half-periods ω1 and ω2 of ''j'', where ''j'' is defined in such a way that :$\backslash Im(\backslash tau)\; >\; 0$ is in the upper half-plane. Quite often in the literature, ω1 and ω2 are defined to be the periods of an elliptic function rather than its half-periods. Regardless of the choice of notation, the ratio ω2/ω1 of periods is identical to the ratio (ω2/2)/(ω1/2) of half-periods. Hence the period ratio is the same as the "half-period ratio". Note that the half-period ratio can be thought of as a simple number, namely, one of the parameters to elliptic functions, or it can be thought of as a function itself, because the half periods can be given in terms of the elliptic modulus or in terms of the nome. See the pages on quarter period and elliptic integrals for additional definitions and relations on the arguments and parameters to elliptic functions. == See also == * Modular form 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「Half-period ratio」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.