Happy pi day

[Joerg Arndt]

Hi again,

* Artur <grafix at csl.pl> [Mar 18. 2008 09:56]:
> Hi Joerg,
> Mathematica number= N[((quantity)), n] rounding in base 10

Correct rounding guaranteed?
(I'd be surprised).

>
> Recognize[] is giving smallest polynomial which after rounding is equal 
> number

You mean the number is a _root_ of the polynomial.

If so they sure use LLL internally and this does _not_
in general find the smallest basis.  It finds a small
one most of the time and this can be the smallest one.

>
> That mean that difference between
>
> (PrincipalRoot of polynomial Recognize[n]==0)-number <=1/2
>
> If I'm wrong let me know.
>
> BEST WISHES
> ARTUR
>

I find the sequence random and arbitrary.  It will give false
hits which is bad.  So you should consider having it deleted.


best regards,    jj


>
>
> Joerg Arndt pisze:
>> Is Mathematica's N[((quantity)), n] rounding (if so, to what base?)
>> or truncating?
>>
>> Is Mathematica's Recognize[] guaranteed to give the correct relation?
>> I do not think so: that would be a major breakthrough.
>>
>> That is, your seq may not even be well-defined.
>>
>> Sorry for the spoilering here.
>>
>> best regards,   jj
>>
>>
>>
>> * Artur <grafix at csl.pl> [Mar 17. 2008 08:39]:
>>   
>>> Dear Seqfans,
>>> I was try celebrated Pi day by contribution to ONEIS new sequence  
>>> conected with  Pi.
>>> See my celebration sequence in:
>>> http://www.research.att.com/~njas/sequences/A138335
>>> BEST WISHES
>>> ARTUR
>>>     
>>
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>>