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

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概要

• 論文の詳細を見る

• The present study was designed to investigate differences between '1' and '-1' in their hypothetic breakdown into complex numbers and application to definite integtral of exp(t) expanded into infinite series. The results obtained were as followes. Complex numbers that were left by the hypothetic breakdown of product form in the complex representation of '1' and '-1' were classfied into 4 groups according to properties of comples numbers; plus or minus, anti-clockwise or clockwise rotarion in a circumference, hypothetic right-handed or left-handed spiral/ Three groups or less showing an incomplete appearance of properties of complex numbers were derived from both '1' and '-1' , but 4 groups that showed a complete appearance of all properties of them were derived from '1' only. This difference between '1' and '-1' might be due to the presence or absence of a minus sign. Complex representation of '1+(-1)' disappeared immeadiately in the caluclation of growth using the definite integral of exp(t) expanded into infinite series.

• 九州大学の論文

著者

• Shimojo Masataka

  Department Of Animal Science Faculty Of Agriculture Kyushu University

• Asano Y

  Miyazaki Univ. Miyazaki Jpn

• Asano Yoki

  Employed Research Scientist Miyazaki University

• Asano Yoki

  Faculty Of Agriculture University Of Miyazaki

• SHIMOJO Masataka

  Faculty of Agriculture, Kyushu University

• IKEDA Kentarou

  Faculty of Agriculture, Kyushu University

• Ikeda Kentarou

  Faculty Of Agriculture Kyushu University

• Ikeda Kentaro

  Research Fellow Faculty Of Agriculture Kyushu University

• Shimojo Masataka

  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

• Ikeda Kentarou

  Employed Research Scientist, Miyazaki University

関連論文

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• 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
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