Basic Growth Analysis and Symmetric Properties of Exponential Function with Base e

作者：Masataka Shimojo, Yoki Asano, Kentaro Ikeda, Reiko Ishikawa, Tao Shao, Hiroyuki Sato, Yukiko Matsufuji, Noriko Ohba, Manabu Tobisa, Yasutaka Yano, Yasuhisa Masuda · 发表于：Journal of the Faculty of Agriculture Kyushu University · 年份：2002 · DOI：10.5109/24459 · 被引用次数：6 · 研究领域：Crystallization and Solubility Studies、Functional Equations Stability Results

This study of basic growth analysis suggests that the analytic de＄cription of agricultural phenomenon of growth is related to the mathernatical phenomenon of symrnetry on the exponential function wit’，h base e． INTRODILJCTION The basic growth analysis was born in English studies of plant production in the 1910s ， as shown in many scientific publieations ， for example the review by Watson （1952） ， the paper by Radford （1967 ） aRd the beek by HuRt （1990） ． This method was a｝se app艶dも（）the gr◎w嶽a篶alysis◎f f含r難a露礁a夏＄（Brody，1945） ． Me撫◎ds f◎r aRa至yzirtg growth have been deve｝oped from the basic one into those usiRg devised functions or mat．heniatical modeling i，xx order to predict growth eurves more preeisely by introducing faetors affecting growth （for example ， Milthorpe and Moorby ， 1979 ； Parks ， 1982 ； France and Thornley ， 1984） ． This is one of the reasons why the basic growth analysis has not been鷺Sed SO freqUent玉y（）nate．｝｛OWeVer ， wi撫0ミ篤knOwing why ， t短S methOd警由eも◎iもS si撚P沁bea滋y蓼stil ｝ attrac’｛；＄some pe（）Ple wh（）a驚奪勲gaged蟄agr宝。雛1撫ya ｝ scieRces． The present study wag ． designed to investigate some aspects of basic growth analysis