Exponential functions with base e in growth analysis and deriving them from rotations of axes of time described using Euler's formula

Masataka Shimojo, Kentaro Ikeda, Yoki Asano, Reiko Ishiwaka, Tao Shao, Hiroyuki Sato, Manabu Tobisa, Yutaka Nakano, Noriko Ohba, Yasukatsu Yano, Yasuhisa Masuda

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

This study suggests that Euler's formula including time as a variable [exp(it) = cos(t)+ isin(t)] gives, through a series of π/2 rotations of axes of time [imaginary time (it) and real time (t)], exponential functions with base e [exp(t) and exp(-t)] used for the growth analysis of ruminants and forages.

Original languageEnglish
Pages (from-to)65-69
Number of pages5
JournalJournal of the Faculty of Agriculture, Kyushu University
Volume48
Issue number1-2
Publication statusPublished - Oct 1 2003

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ruminants
forage
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Ruminants

All Science Journal Classification (ASJC) codes

  • Biotechnology
  • Agronomy and Crop Science

Cite this

Exponential functions with base e in growth analysis and deriving them from rotations of axes of time described using Euler's formula. / Shimojo, Masataka; Ikeda, Kentaro; Asano, Yoki; Ishiwaka, Reiko; Shao, Tao; Sato, Hiroyuki; Tobisa, Manabu; Nakano, Yutaka; Ohba, Noriko; Yano, Yasukatsu; Masuda, Yasuhisa.

In: Journal of the Faculty of Agriculture, Kyushu University, Vol. 48, No. 1-2, 01.10.2003, p. 65-69.

Research output: Contribution to journalArticle

Shimojo, M, Ikeda, K, Asano, Y, Ishiwaka, R, Shao, T, Sato, H, Tobisa, M, Nakano, Y, Ohba, N, Yano, Y & Masuda, Y 2003, 'Exponential functions with base e in growth analysis and deriving them from rotations of axes of time described using Euler's formula', Journal of the Faculty of Agriculture, Kyushu University, vol. 48, no. 1-2, pp. 65-69.
Shimojo, Masataka ; Ikeda, Kentaro ; Asano, Yoki ; Ishiwaka, Reiko ; Shao, Tao ; Sato, Hiroyuki ; Tobisa, Manabu ; Nakano, Yutaka ; Ohba, Noriko ; Yano, Yasukatsu ; Masuda, Yasuhisa. / Exponential functions with base e in growth analysis and deriving them from rotations of axes of time described using Euler's formula. In: Journal of the Faculty of Agriculture, Kyushu University. 2003 ; Vol. 48, No. 1-2. pp. 65-69.
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AU - Shao, Tao

AU - Sato, Hiroyuki

AU - Tobisa, Manabu

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AU - Yano, Yasukatsu

AU - Masuda, Yasuhisa

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