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＜departmental bulletin paper＞
Introduction Complex Numbers into Basic Growth Functions -(V) Hypothetic Factors Influencing Increase in θ in exp(θ)-

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
2005-02-01
Source Title
Journal of the Faculty of Agriculture, Kyushu University
Vol
50
Issue
1
First Page
135
Last Page
139
Publication Type
Version of Record
Access Rights
open access
Crossref DOI
https://doi.org/10.5109/4631
Related DOI
Journal of the Faculty of Agriculture, Kyushu University || 50(1) || p135-139
九州大学大学院農学研究院紀要 || 50(1) || p135-139
http://www.agr.kyushu-u.ac.jp/index.html
Related URI
Journal of the Faculty of Agriculture, Kyushu University || 50(1) || p135-139
九州大学大学院農学研究院紀要 || 50(1) || p135-139
http://www.agr.kyushu-u.ac.jp/index.html
Relation
Journal of the Faculty of Agriculture, Kyushu University || 50(1) || p135-139
九州大学大学院農学研究院紀要 || 50(1) || p135-139
http://www.agr.kyushu-u.ac.jp/index.html

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Details

PISSN
0023-6152
NCID
AA00697606
Record ID
4631
Peer-Reviewed
Unrefereed
ISSN
0023-6152
NCID
AA00697606
Notes
The present trial was designed to investigate hypothetic factors influencing the increase in θ after the appearance of exp(θ) from expexp(iθ). Hypothetic factors used in this trial were related to properties of indefinite integral and Euler's formula. The results obtained were as follows. It was shown hypothetivally that '(-1)+1' appeared from '0' through indefinite integral of f(θ) on conditioin that f(θ)=0, where there was not an increase in θ. The hypothetic breakdown of multiplicatio form connecting eight conplex numbers to construct '-1' left 2exp(iθ), and one of the two exp(iθ) was changed into exp(θ) by the product of 'iθ'and '-i'(clockwise π/2 rotation of variable). The periodic increase in θ, the different breakdown of multiplicatioin form and changing one of the complex numbers into real number gave [-exp((iθ+2π))-exp(θ+2π)]. Consequently it was shown that exp(iθ) was offset by -exp(i(θ+2π)), due to the periodic,where there was an increase in θ if the minus sign was disregarded.
Created Date 2009.04.22
Modified Date 2022.11.11

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