### Abstract

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.

Original language | English |
---|---|

Pages (from-to) | 285-286 |

Number of pages | 2 |

Journal | Journal of the Faculty of Agriculture, Kyushu University |

Volume | 56 |

Issue number | 2 |

Publication status | Published - Sep 1 2011 |

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### All Science Journal Classification (ASJC) codes

- Biotechnology
- Agronomy and Crop Science

### Cite this

*Journal of the Faculty of Agriculture, Kyushu University*,

*56*(2), 285-286.

**Exponential function, Bondi K-factor and imaginary unit.** / Shimojo, Masataka.

Research output: Contribution to journal › Article

*Journal of the Faculty of Agriculture, Kyushu University*, vol. 56, no. 2, pp. 285-286.

}

TY - JOUR

T1 - Exponential function, Bondi K-factor and imaginary unit

AU - Shimojo, Masataka

PY - 2011/9/1

Y1 - 2011/9/1

N2 - 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.

AB - 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.

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UR - http://www.scopus.com/inward/citedby.url?scp=80054733611&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:80054733611

VL - 56

SP - 285

EP - 286

JO - Journal of the Faculty of Agriculture, Kyushu University

JF - Journal of the Faculty of Agriculture, Kyushu University

SN - 0023-6152

IS - 2

ER -