On 16/01/2007 18:57, Yitzhak Sapir wrote:
> ...
>
> When graphed, the data clearly show that there is a nice upwards curve.
> Resh's data point appears way out there because there are so many
> number of roots that have Resh in Peter's list. The question is: why is
> there such a nice curve? why do the data for the letters cluster around
> a curved line? ...
I suspect that the graph follows something like a 2/3 power curve
passing through the origin. This is because of how I think the
statistics work, but it does fit the graph reasonably well. Passing
through the origin is essential because zero roots implies zero
homonyms. Indeed the data point for he with mappiq is also a good one:
just eight roots implies zero homonyms. But the calculation needs to be
done separately for first, second and third root letters. The figures in
column X of my spreadsheet are based on this hypothesis. These figures
are fairly constant, as would be expected. The high figure for sin on
its own is because of the four homonyms for sin as the second root
letter of which three are (alleged) homonyms of (&H.
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