<紀要論文>
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 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.続きを見る

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登録日 2009.04.22
更新日 2017.02.07