再论2πω^2的最优性

Further Discussion the Optimization of 2πω^2

证明了用角2πω^2/（1＋ω^2）、2π（3＋ω^2）和2π/（2＋ω^2）在圆周上作插分得到任意n个分点并将圆周分为11个角时,其最小角与最大角之比也至少是ω^2．根据叶序的基本功能,用模糊数学的综合评判理论证明了角2πω^2优于角2πω^2/（1＋ω^2）、2π/（3＋ω^2）和2π/（2＋ω^2）,从而从理论上说明了2πω^2作为互生植物的叶序分数所对应的极限角是合理的．

This paper proves that the ratio of the smallest angle to the biggest angle is also at least ω^2 when using 2πω^2/（1＋ω^2）,2π/（3＋ω^2）and 2π/（2＋ω^2）to divide a circumference and obtain n（〉1） dots and angles. Based on the basic function of phyllotaxis, it obtains that 2πω^2 is more superior than 2πω^2/（1＋ω^2）,2π/（3＋ω^2）and 2π/（2＋ω^2）by fuzzy synthetic evaluation. This result is consistent with the leaf number＇s limit of alternate plants.