OpenEuphoria

Re: Apology

• Posted by Bill Magaletta <72411.2473 at COMPUSERVE.COM> Jun 10, 2000
• 1053 views

Hi, I'm new here.  The number of atoms that are not covered by the
function you were discussing, sqrt(n*n), is like this:  Let 'max' be the
maximum atom; then the maximum 'n' for which the function works is
sqrt(max).  So the number of atoms not covered is about

      max - sqrt(max)

So the question is, how many is that, or, do we have a better way of
saying how many it is?  I don't know if this is better, but it might help
the insight to see it; factor 'max' out of the expression.

    = max * (1 - 1/sqrt(max))

or

    = max * (sqrt(max) - 1) / sqrt(max)

Now consider the 2nd term in the product as a percentage; this is the
percentage of atoms that are not covered, and obviously it's very great.
For example, if max were even as small as 10,000, the percentage would be
99%.  So the function you were discussing is almost perfectly useless.

Bill Magaletta