<紀要論文>
Introducing Complex Numbers into Basic Growth Functions (3) : Symmetry Breakdown in Complex REpresentation of '0=(-1) + 1' int Definite Integral of Exponential Function with Base e Expanded into Infinite Series

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概要 The present study was designed to investigate various types of symmetry breakdown that left complex numbers by giving a minus sign to each of the odd-numbered pieces of complex number out of eight con...structiong '1'. The results obtained were as followes. Giving a minus sign to each of the odd-numbered (1,3,5,7) pieces of complex number out of eight changed '1' into '-1'. The hypothetic breakdown of multiplication form that connected complex numbers to construct '-1' left one or three sorts of complex numbers. The symmetry breakdown, which was given by the breakdown of multiplication form, was larger when a minus sign was given to each of te three and five pieces of complex number than when given to one piece and each of the seven pieces out of eight. The larger symmetry left more pieces of complex number.続きを見る

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登録日 2009.04.22
更新日 2017.02.07