The growth of a plant or an animal is analyzed using the exponential function. This study was designed to investigate mathematical properties of the exponential function using relationships between the exponential function, the Bondi K-factor and the imaginary unit. The results obtained were as follows. The exponential function was equal to the Bondi K-factor. When the Bondi K-factor took the value greater than 1, there occurred an exponential increase. This implied an association with the phenomenon that ingesting energy and substances from the environment caused the increase in size and weight of a plant or an animal. The mathematical operation of v →∞ caused the collapse of the Bondi K-factor into the imaginary unit. This collapse left a gap between the imaginary unit and the exponential function. There was also a discussion on the relationship between the object with the Bondi K-factor and the wave function described using complex numbers. It was suggested that mathematical properties of the exponential function were related to those of the Bondi K-factor.
|ジャーナル||Journal of the Faculty of Agriculture, Kyushu University|
|出版ステータス||出版済み - 9 1 2011|
All Science Journal Classification (ASJC) codes
- Agronomy and Crop Science