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

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概要

• 論文の詳細を見る

• 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.

• 九州大学の論文

著者

• Shimojo Masataka

  Department Of Animal Science Faculty Of Agriculture Kyushu University

• Shimojo Masataka

  Laboratory of Animal Feed Science,Division of Animal Science,Department of Animal and Marine Bioreso

• Ikeda Kentarou

  Research Fello,Faculty of Agriculture,Kyushu University

• Asano Yoki

  Research Fello,Faculty of Agriculture,Kyushu University

• Ikeda Kentaro

  Research Fellow,Faculty of Agriculture,Kyushu University

• Ikeda Kentaro

  Research Fellow Faculty Of Agriculture Kyushu University

• Ishiwaka Reiko

  Kyushu Univ. Fukuoka Jpn

• Ishiwaka Reiko

  Laboratory Of Animal Feed Science Faculty Of Agriculture Kyushu University

• Shimojo Masataka

  Laboratory Of Animal Feed Science Division Of Animal Science Department Of Animal And Marine Bioreso

• Ikeda K.

  Faculty Of Agriculture Kyushu University

• Ishiwaka Reiko

  Research Fellow,Faculty of Agriculture,Kyushu University

関連論文

• Introducing Viewpoints of Mechanics into Basic Growth Analysis (1) : Three Aspects of Growth Mechanics compared with Three Law of Motion
• Introducing Complex Numbers into Basic Growth Functions (8) : A Series of Hypotheses for Appearance of exp(θ) from Complex Representation of `0=1+(-1)' under the Concept of Symmetry
• Introducing Complex Numbers into Basic Growth Functions (7) : Differences between '1' and '-1' in their Hypothetic Breakdown into Complex Numbers and Application to Definite Integral of exp(t) Expanded into Infinite Series
• Introducing Complex Numbers into Basic Growth Functions (6) : Hypothetic Breakdown of '1' into Complex Numbers and Application to Definite Integral of exp(t) Expanded into Infinite Series
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