[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 (応援スレ) 52 (1002ﾚｽ)

Inter-universal geometry と ABC予想 (応援スレ) 52 http://rio2016.5ch.net/test/read.cgi/math/1613784152/

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302: １３２人目の素数さん [] 2021/02/27(土) 12:51:48.66 ID:f+hU2HEr >>301 >the Legendre form >ここらが重要キーワードですね 参考 https://en.wikipedia.org/wiki/Legendre_form Legendre form Contents 1 Definition 2 Numerical evaluation 3 References The respective complete elliptic integrals are obtained by setting the amplitude, Φ, the upper limit of the integrals, to π/2. The Legendre form of an elliptic curve is given by y2 = x(x-1)(x-λ) Numerical evaluation The classic method of evaluation is by means of Landen's transformations. Descending Landen transformation decreases the modulus k k towards zero, while increasing the amplitude Φ. Conversely, ascending transformation increases the modulus towards unity, while decreasing the amplitude. In either limit of k, zero or one, the integral is readily evaluated. Most modern authors recommend evaluation in terms of the Carlson symmetric forms, for which there exist efficient, robust and relatively simple algorithms. This approach has been adopted by Boost C++ Libraries, GNU Scientific Library and Numerical Recipes.[3] http://rio2016.5ch.net/test/read.cgi/math/1613784152/302

303: １３２人目の素数さん [sage] 2021/02/27(土) 13:31:25.71 ID:+FXN4YNO >>301-302 阿多岡　貴様には無理　諦めろ http://rio2016.5ch.net/test/read.cgi/math/1613784152/303

314: １３２人目の素数さん [sage] 2021/02/27(土) 22:16:57.66 ID:Blw7cIRY >>302 何それ、ただの代表元やん。 何が重要なん？ http://rio2016.5ch.net/test/read.cgi/math/1613784152/314

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