achille
Posts:
575
Registered:
2/10/09


Re: The unit interval covered by a set of intervals with measure < 1 leaves no determinable gaps.
Posted:
Jun 14, 2011 4:44 AM


On Jun 14, 4:38 pm, Tim Little <t...@littlepossums.net> wrote: > On 20110614, achille <achille_...@yahoo.com.hk> wrote: > > > Isn't we have an upper bound for the irrationality measure > > of Pi too (current record ~7.6063 (Salikhov 2008)). ie. a > > bound of the form  Pi  p/q  > const. 1/q^(7.6063). > > Ah yes, that would suffice. I was not aware that an upper bound had > been proved. > > > If an multiple for e is easy to find (whose irrationality measure is > > known to be 2), why is it much more difficult to find one for > > Pi????? > > You may not have seen e's continued fraction sequence. If you had, it > would be fairly obvious why various properties are much more easily > proved for it than for pi. > >  > Tim
Oh, I see it now, the continued fraction of e is indeed very simple. Thanks for the info.

