Re: How about adding rational fraction to Python?

On Feb 24, 4:50�pm, Steven D'Aprano <st...@REMOVE-THIS-
cybersource.com.au> wrote:
On Sun, 24 Feb 2008 11:09:32 -0800, Lie wrote:
I decided to keep the num/den limit low (10) because higher values might
obscure the fact that it do have limits.

You do realise that by putting limits on the denominator, you guarantee
that the sum of the fractions also has a limit on the denominator? In
other words, your "test" is useless.

With denominators limited to 1 through 9 inclusive, the sum will have a
denominator of 2*3*5*7 = 210.

Th limit will be 2*2*2*3*3*5*7. As MD said, "equivalently
the product over all primes p <= n of the highest power
of p not exceeding n".


But that limit is a product (literally and
figuratively) of your artificial limit on the denominator. Add a fraction
with denominator 11, and the sum now has a denominator of 2310; add
another fraction n/13 and the sum goes to m/30030; and so on.

--
Steven

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