Asano, Yoki

Eguchi, Minako

Ikeda, Kentarou

Ishiwaka, Reiko

Masuda, Yasuhisa

Nakano, Yutaka

Ohba, Noriko

Sato, Hiroyuki

Shimojo, Masataka

Tobisa, Manabu

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 constructiong '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

下條, 雅敬

シモジョウ, マサタカ

池田, 堅太郎

イケダ, ケンタロウ

石若, 礼子

イシワカ, レイコ

佐藤, 洋行

サトウ, ヒロユキ

浅野, 陽樹

アサノ, ヨウキ

飛佐, 学

トビサ, マナブ

中野, 豊

ナカノ, ユタカ

大場, 憲子

オオバ, ノリコ

江口, 美奈子

エグチ, ミナコ

増田, 泰久

マスダ, ヤスヒサ

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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

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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