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＜departmental bulletin paper＞
Introducingg Complex Numbers into Basic Growth Functions (1) : Applying Complex Representation of '1' to Differentiation of Exponential Function with Base e Expanded into Infinite Series

Creator
Author PID
K001569
Creator Name
Shimojo, Masataka
下條, 雅敬
シモジョウ, マサタカ
Affiliation
Affiliation Name
Laboratory of Animal Feed Science,Division of Animal Science,Department of Animal and Marine Bioresource Sciences,Faculty of Agriculture,Kyushu University
Creator Name
Asano, Yoki
浅野, 陽樹
アサノ, ヨウキ
Affiliation
Affiliation Name
Employed Research Scientist,Miyazaki University
Creator Name
Ikeda, Kentarou
池田, 堅太郎
イケダ, ケンタロウ
Affiliation
Affiliation Name
Research Fellow,Faculty of Agriculture,Kyushu University
Creator Name
Ishiwaka, Reiko
石若, 礼子
イシワカ, レイコ
Affiliation
Affiliation Name
Research Fellow,Faculty of Agriculture,Kyushu University
Creator Name
Eguchi, Minako
江口, 美奈子
エグチ, ミナコ
Affiliation
Affiliation Name
Technical Official,School of Agriculture, Kyushu University
Creator Name
Sato, Hiroyuki
佐藤, 洋行
サトウ, ヒロユキ
Affiliation
Affiliation Name
Laboratory of Animal Feed Science,Division of Animal Science,Department of Animal and Marine Bioresource Sciences, Graduate School of Bioresource and Bioenvironmental Sciences,Kyushu University
Creator Name
Tobisa, Manabu
飛佐, 学
トビサ, マナブ
Affiliation
Affiliation Name
Faculty of Agriculture,Miyazaki University
Author PID
K001674
Creator Name
Nakano, Yutaka
中野, 豊
ナカノ, ユタカ
Affiliation
Affiliation Name
Kyushu University Farm
Creator Name
Ohba, Noriko
大場, 憲子
オオバ, ノリコ
Affiliation
Affiliation Name
Research Student, School of Agriculture, Kyushu University
Creator Name
Masuda, Yasuhira
増田, 泰久
マスダ, ヤスヒサ
Language
English
Publisher
Faculty of Agriculture, Kyushu University
九州大学大学院農学研究院
Date
2004-10-01
Source Title
Journal of the Faculty of Agriculture, Kyushu University
Vol
49
Issue
2
First Page
331
Last Page
335
Publication Type
Version of Record
Access Rights
open access
Crossref DOI
https://doi.org/10.5109/4593
Related DOI
Journal of the Faculty of Agriculture, Kyushu University || 49(2) || p331-335
九州大学大学院農学研究院紀要 || 49(2) || p331-335
http://www.agr.kyushu-u.ac.jp/index.html
Related URI
Journal of the Faculty of Agriculture, Kyushu University || 49(2) || p331-335
九州大学大学院農学研究院紀要 || 49(2) || p331-335
http://www.agr.kyushu-u.ac.jp/index.html
Relation
Journal of the Faculty of Agriculture, Kyushu University || 49(2) || p331-335
九州大学大学院農学研究院紀要 || 49(2) || p331-335
http://www.agr.kyushu-u.ac.jp/index.html

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Details

PISSN
0023-6152
NCID
AA00697606
Record ID
4593
Peer-Reviewed
Unrefereed
ISSN
0023-6152
NCID
AA00697606
Notes
The basic growth analysis using exponential function with base e is a orimary factor in the management of forages and ruminants. The present study was conducted to investigate the application of complex representation of '1' and '0' to the differentiation of exp(t) expanded into infinite series. The results obtained were as followes. The differentiation of '1', resulting in '0' , was replaced by pair disappearances of complex numbers with their oppsites occuring after the hypothetic breakdown of multiplication form connecting them to construct '1'. The differentiation of (t/1!) with respect to t, resulting in '1', was replaced by the product of eight complex numbers constructing '1'. These results suggested that there were hypothetic pair appearances and disappearances of complex nubbers according to the fluctuation between '1' and '0' occurring whenever the rate of growth was caluclated.
Created Date 2009.04.22
Modified Date 2022.11.11

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