Asano, Yoki

Eguchi, Minako

Ikeda, Kentarou

Ishiwaka, Reiko

Masuda, Yasuhisa

Nakano, Yutaka

Ohba, Noriko

Sato, Hiroyuki

Shimojo, Masataka

Tobisa, Manabu

The study was designed to investigate the hypothetic appearance of exponential finction with base e from the complex representation of '0=(-1)+1' and phase shifts. The results obtained were as followes. There was hypothetic appearance of exp(iθ) from the complex representation of '-1' in '0=(-1)+1' when subjected to the hypothetic breakdown of multiplication form connecting complex numbers constructiong '0=(-1)+1'. The clockwise π/2 rortation of θ in exp(iθ) led to exp(θ). If there were many different complex numbers with their replicas to be left, then this would be given by an equation with continuous phase shift of θin exp(iθ). The hypothetic inheritance of phase shift of θ in exp(iθ) to the change in θ in exp(θ) might lead to the caluclation of definite integral of exp(θ). Might the change in θ in exp(iθ) and/or exp(θ) be related to the passage of time (t) in exp(t)

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

Institutional Repositories DataBase (IRDB)

Introducing Complex Numbers into Basic Growth Functions (4) : Hypothetic Appearance of Exponential Function with Base e from the Complex Representation of '0+(-1)+1'

Introducing Complex Numbers into Basic Growth Functions (4) : Hypothetic Appearance of Exponential Function with Base e from the Complex Representation of '0+(-1)+1'

Abstract

Similar works

Full text

Available Versions

Institutional Repositories DataBase (IRDB)