Z
now as a ratio corresponding to values of K from 1 through (N-1) we will
have ratios like 1/N, 2/N, 3/N ... (N-1)/N
for example N=10, we will have these ratios:-
1/10, 2/10, 3/10 ... 9/10
and the number of combinations which can be averaged for accuracy enhancement would be:-
10, 45, 120, 210, 252, 210, 120, 45 and 10.
this means if you want to have a ratio of 1:2 (5/10), there are 252 ways of making that ratio,
and if ALL of these are averaged, the ratio shall be more accurate.
similarly the ratio of 1:10 or 9:10 would be possible using 10 combinations.
this could be used to make accurate ratio references.
comments required.
-zia