On Mar 11, 2009, at 10:23 PM, Carl Witty wrote:

> On Wed, Mar 11, 2009 at 9:35 PM, Robert Bradshaw
> <rober...@math.washington.edu> wrote:
>>> Here's some examples to hopefully clarify:
>>
>>
>>> RealField(20) -> RealField(50)
>>> RealField(20) -> RealIntervalField(20)
>>
>> I would call these dangerous,

I should clarify, it'd be dangerous to use these for arithmetic.

>> as the latter implicitly has more
>> "information" than the former.
>
> No they don't:
>
> sage: pi20.exact_rational()
> 411775/131072
> sage: RealField(50)(pi20).exact_rational()
> 411775/131072
>
> See, exactly the same information :)

I get your point, but to me if a function returns  
1.00000000000000000000000000 that's more "information" than if a  
function returns 1.000, and 1.00000000? is more information yet.

- Robert


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