--- Nick Taylor <[EMAIL PROTECTED]> wrote:
> My sixth grade son did the math for me:
>
> 3.14 x (1/1.4) x (1/1.4) = 1.60
>
> 3.14 x (1/1.8) x (1/1.8) = 0.97
>
> (1.60/0.97) X 100 = 165%
>
> He also said that if we use pi to more than two
> decimal places, and
Hm, even if I use 732.3412125 as pi I still get the
same final result (which is the only thing we want to
know to answer the original question). I think your
sixth grade son is something missing here.
> use the square root of 2 instead of 1.4 we'll get
> more accurate results.
Well, if his only goal is to get the most accurate
result he should not calculate any intermediate
results but use a direct formula simplified as much as
possible.
> To rub it in a little, the sixth grader pointed out
> that the 1.4 f-stop on your lens is NOT the exact
> figure; it should be 1.414213562 at the very
> least ... or more accurately, it should be the
> square root of 2.
No, it should not. All lenses are subject to
tolarances. Giving final results with a higher
accuracy then the input with the lowest precision,
intermediate results, etc is plain wrong.
Robert
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