Use of Complex Number in the Analysis of Increase in Dry Matter Indigestibility with Growth of Forages

Masataka Shimojo, Takashi Bungo, Yoshimi Imura, Manabu Tobisa, Naoki Koga, Shao Tao, Muhammad Yunus, Yutaka Nakano, Ichiro Goto, Mitsuhiro Furuse, Yasuhisa Masuda

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

This study was conducted to give a trigonometric representation, using complex numbers and plane, of the increase in dry matter indigestibility [IDMI] with growth of forages. The following results were obtained. Divisional calculations between two coordinates of dry matter indigestibility [DMI] expressed using complex numbers were related to the subtraction theorem of tangent. This relation might give some information on DMI changes, namely IDMI, the geometric mean of DMI [GMDMI] and relative IDMI (=IDMI/GMDMI). Changes in dry weight and indigestible dry weight with forage growth were visualized by the geometric representation. Therefore, there were four information on IDMI given by the trigonometric representation of DMI on the complex plane. It was suggested that the complex representation of DMI of forages derived, from the subtraction theorem of tangent, some information on IDMI with forage growth.

Original languageEnglish
Pages (from-to)137-142
Number of pages6
JournalJournal of the Faculty of Agriculture, Kyushu University
Volume43
Issue number1-2
Publication statusPublished - Nov 1 1998

All Science Journal Classification (ASJC) codes

  • Biotechnology
  • Agronomy and Crop Science

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