On Tuesday 08 February 2005 13:02, Lourens Veen wrote:
>
> Do note that what you're using is not the best possible linear
> approximation. Thinking graphically, you're drawing a straight line between
> the first and last point of the interval, so that you're always a little
> high in the approximation. If you draw that line a little lower, then
> you'll still be high in the middle, but low at the ends, and the error is
> more balanced. The real maximum error is thus about half that, so you get
> one bit more precision.

Erm, of course not. The interval remains the same, so you don't have any extra 
precision at all. It's just that you eliminate the systematic error.

Lourens
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