Introducing Complex Numbers into Basic Growth Functions (3) : Symmetry Breakdown in Complex REpresentation of '0=(-1) + 1' int Definite Integral 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 present study was designed to investigate various types of symmetry breakdown that left complex numbers by giving a minus sign to each of the odd-numbered pieces of complex number out of eight constructiong '1'. The results obtained were as followes. Giving a minus sign to each of the odd-numbered (1,3,5,7) pieces of complex number out of eight changed '1' into '-1'. The hypothetic breakdown of multiplication form that connected complex numbers to construct '-1' left one or three sorts of complex numbers. The symmetry breakdown, which was given by the breakdown of multiplication form, was larger when a minus sign was given to each of te three and five pieces of complex number than when given to one piece and each of the seven pieces out of eight. The larger symmetry left more pieces of complex number.

• 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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