@puellavulnerata ah yeah 1/3 of the way down this http://math.stackexchange.com/questions/7643/produce-an-explicit-bijection-between-rationals-and-naturals … (it's pretty clever)
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@puellavulnerata It's more complex, involves creating integer partitions like {2, 0, -1, 3} and turning them into 2^2 * 5^0 * 7^-1 * 11^3 -
@puellavulnerata That way you never worry about cancellation. -
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@puellavulnerata Yeah, I think the gimmick is something like factor 60 = 2^2 x 3^1 x 5^1 and then +- the exponents to get 15/4, 20/3, 12/5.. -
@puellavulnerata ...so if n has i factors you have 2^i ways to allocate the prime powers to numerator vs denominator. - 1 more reply
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. Banned in Sweden. SubGenius, Zhuangist, white-hat troll. Defrocked mathematician. Brain problems.