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

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 journal › Article › peer-review

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 language	English
Pages (from-to)	65-69
Number of pages	5
Journal	Journal of the Faculty of Agriculture, Kyushu University
Volume	48
Issue number	1-2
Publication status	Published - Oct 1 2003

All Science Journal Classification (ASJC) codes

Biotechnology
Agronomy and Crop Science

Cite this

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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.",

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

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TY - JOUR

T1 - Exponential functions with base e in growth analysis and deriving them from rotations of axes of time described using Euler's formula

AU - Shimojo, Masataka

AU - Ikeda, Kentaro

AU - Asano, Yoki

AU - Ishiwaka, Reiko

AU - Shao, Tao

AU - Sato, Hiroyuki

AU - Tobisa, Manabu

AU - Nakano, Yutaka

AU - Ohba, Noriko

AU - Yano, Yasukatsu

AU - Masuda, Yasuhisa

PY - 2003/10/1

Y1 - 2003/10/1

N2 - 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.

AB - 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.

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M3 - Article

AN - SCOPUS:2442582554

SN - 0023-6152

VL - 48

SP - 65

EP - 69

JO - Journal of the Faculty of Agriculture, Kyushu University

JF - Journal of the Faculty of Agriculture, Kyushu University

IS - 1-2

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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