複雜系統之簡介(梁鈞泰) - 中研院物理研究所- Academia Sinica

l = (1/2) n =2 -n
N = 3 n
we want to know how N changes with l.
we must eliminate n. Log is the way to do it:
log l = - n log 2
n = - log l / log 2
Basic formula of logarithm:
For x=a y , we have
N = 3 n = 3
-log l /log 2
y=log a
x=log x / log a,
= 3 -log 3 l /log 3 2
= (3 log 3 l ) -1/log 3 2
a log a x =a y =x
= l -1 /log 3 2
= l
–log 3/log 2
= (1/l) D D = log3/log2 =1.585
log a
x / log a
y=log b
x / log b
y, for any a, b.