翻訳と辞書
Words near each other
・ "O" Is for Outlaw
・ "O"-Jung.Ban.Hap.
・ "Ode-to-Napoleon" hexachord
・ "Oh Yeah!" Live
・ "Our Contemporary" regional art exhibition (Leningrad, 1975)
・ "P" Is for Peril
・ "Pimpernel" Smith
・ "Polish death camp" controversy
・ "Pro knigi" ("About books")
・ "Prosopa" Greek Television Awards
・ "Pussy Cats" Starring the Walkmen
・ "Q" Is for Quarry
・ "R" Is for Ricochet
・ "R" The King (2016 film)
・ "Rags" Ragland
・ ! (album)
・ ! (disambiguation)
・ !!
・ !!!
・ !!! (album)
・ !!Destroy-Oh-Boy!!
・ !Action Pact!
・ !Arriba! La Pachanga
・ !Hero
・ !Hero (album)
・ !Kung language
・ !Oka Tokat
・ !PAUS3
・ !T.O.O.H.!
・ !Women Art Revolution


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

resolvent cubic : ウィキペディア英語版
resolvent cubic
In mathematics, a resolvent cubic polynomial is defined as follows:
Let
:f(x)=x^4+a_3x^3+a_2x^2+a_1x+a_0 \,
be a monic quartic polynomial. The ''resolvent cubic'' is the monic cubic polynomial
:g(x)= x^3+b_2x^2+b_1x+b_0 \,
where
:b_2 = -a_2 \,
:b_1 = a_1a_3 - 4a_0 \,
:b_0 = 4a_0a_2 - a_1^2 -a_0a_3^2. \,
This can be used to find the roots of the quartic, by using the following relations between the roots \alpha_i of ''f'' and the roots \beta_i of ''g'':
:\beta_1 = \alpha_1 \alpha_2 + \alpha_3 \alpha_4
:\beta_2 = \alpha_1 \alpha_3 + \alpha_2 \alpha_4
:\beta_3 = \alpha_1 \alpha_4 + \alpha_2 \alpha_3.
These can be established simply with Vieta's formulas.
==See also==

*Resolvent (Galois theory)
*Zero of a function

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「resolvent cubic」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.