Why do people keep suggesting rationals as an alternative to floats? They are worse in every single dimension except representing 1/3.
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I honestly can't think of any situation in which I would choose rationals as an computer approximation to real numbers.
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That's why I said the overlap is basically empty. Can't see any way arbitrary rationals are better than diadic ones for approximating reals.
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For applications other than approximating reals, tho, rationals may be useful.
End of conversation
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