翻訳と辞書 Words near each other ・ Dual loyalty (ethics) ・ Dual mandate ・ Dual mass flywheel ・ Dual matroid ・ Dual messiahs ・ Dual mode mobile ・ Dual mode propulsion rocket ・ Dual modular redundancy ・ Dual module ・ Dual monarchy ・ Dual monarchy of England and France ・ Dual Mono ・ Dual naming ・ Dual narrative ・ Dual norm ・ Dual number ・ Dual object ・ Dual of BCH is an independent source ・ Dual Orb ・ Dual Orb II ・ Dual overhead rate ・ Dual oxidase 1 ・ Dual oxidase 2 ・ Dual pair ・ Dual Peppy ・ Dual Phase Steels Magnetism Modeling ・ Dual photography ・ Dual piping ・ Dual pivot steering geometry ・ Dual player 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 Dual number ： ウィキペディア英語版 Dual number In linear algebra, the dual numbers extend the real numbers by adjoining one new element ε with the property ε2 = 0 (ε is nilpotent). The collection of dual numbers forms a particular two-dimensional commutative unital associative algebra over the real numbers. Every dual number has the form ''z'' = ''a'' + ''b''ε with ''a'' and ''b'' uniquely determined real numbers. Dual numbers can also be thought of as the exterior algebra of a one dimensional vector space. The algebra of dual numbers is a ring that is a local ring since the principal ideal generated by ε is its only maximal ideal. Dual numbers form the coefficients of dual quaternions. ==Linear representation== Using matrices, dual numbers can be represented as :. The sum and product of dual numbers are then calculated with ordinary matrix addition and matrix multiplication; both operations are commutative and associative within the algebra of dual numbers. This correspondence is analogous to the usual matrix representation of complex numbers. However, it is ''not'' the only representation with 2 × 2 real matrices, as is shown in the profile of 2 × 2 real matrices. Like the complex plane and split-complex number plane, the dual numbers are one of the realizations of planar algebra. 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「Dual number」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.