Re: Transcendental Dimensions

W. Dale Hall wrote:
> >
>
> Try the standard Cantor "middle-thirds" set. Its Hausdorff dimension
> is log(2)/log(3), which is transcendental, see this page:
>
> http://numbers.computation.free.fr/
> Constants/Miscellaneous/classification.html#Hardy
>
> (the two lines need to be reattached to make a real URL).
>
> The author ascribes the proof that log(3)/log(2) is transcendental
> to Hardy and Wright.
>
> Dale.

Hi everyone,

Thanks for this example,...I shall try to see if I can come up with
any other objects with transcendental dimensions..

Also I read somewhere that most of the numbers are transcendental,...
it is funny then that it takes so much trouble to produce their
examples..

best regards
Gsax

.

Relevant Pages