翻訳と辞書 Words near each other ・ Satsuma, Alabama ・ Satsuma, Florida ・ Satsuma, Kagoshima ・ Satosi Watanabe ・ Satou ・ Satoumi ・ Satovcha ・ Satovcha Municipality ・ Satow ・ Satow, Germany ・ Satower See ・ Satoyama ・ Satoyama Initiative ・ Satoyama Kōsaku ・ Satoyoshi syndrome ・ Sato–Tate conjecture ・ Satpada ・ Satpakhali ・ Satpal ・ Satpal Gosain ・ Satpal Maharaj ・ Satpal Ram ・ Satpal Singh ・ Satpal Singh Satti ・ Satpanth ・ Satpara Dam ・ Satpara Lake ・ Satpara Stream ・ Satpati ・ Satpayev 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 Sato–Tate conjecture ： ウィキペディア英語版 Sato–Tate conjecture In mathematics, the Sato–Tate conjecture is a statistical statement about the family of elliptic curves ''Ep'' over the finite field with ''p'' elements, with ''p'' a prime number, obtained from an elliptic curve ''E'' over the rational number field, by the process of reduction modulo a prime for almost all ''p''. If ''Np'' denotes the number of points on ''Ep'' and defined over the field with ''p'' elements, the conjecture gives an answer to the distribution of the second-order term for ''Np''. That is, by Hasse's theorem on elliptic curves we have :$N\_p/p\; =\; 1\; +\; O(1/\backslash sqrt)\backslash$ as ''p'' → ∞, and the point of the conjecture is to predict how the O-term varies. ==Statement== Define ''θ''''p'' as the solution to the equation :$p+1-N\_p=2\backslash sqrt\backslash cos\; ~~\; (0\backslash leq\; \backslash theta\_p\; \backslash leq\; \backslash pi).$ Let ''E'' be an elliptic curve without complex multiplication. Then, for every two real numbers $\backslash alpha$ and $\backslash beta$ for which , :$\backslash lim\_\backslash frac\}=\backslash frac\; \backslash int\_^\; \backslash sin^2\; \backslash theta\; \backslash ,\; d\backslash theta.$ 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「Sato–Tate conjecture」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.