Egyptian-Fraction Expansions Of REALS

[Karol PENSON]

   Dear Thomas, I have got your message and it is dated

               30 Jul 2004 
   Please check  what is going on to avoid any further
   complications. Karol 

On Fri, 30 Jul 2004, Thomas Baruchel wrote:

> Date: Fri, 30 Jul 2004 20:05:52 +0200
> From: Thomas Baruchel <thomas.baruchel at laposte.net>
> To: seqfan at ext.jussieu.fr
> Subject: Re: Egyptian-Fraction Expansions Of REALS
> 
> On Tue, Jan 20, 2004 at 11:31:13PM -0500, Jud McCranie wrote:
> > No, don't write it as 1+1+1.  For the sequence, make the first term the 
> > integer part and continue with the denominators.  For one thing, the 
> > Egyptians didn't do that.  Secondly, the sequence could start with a very 
> > long string of 1s.  (Alternatively, skip the integer part altogether.)
> 
> Right. Besides, the initial motivation for writing 1+1+1 was not good,
> because the general mind of egyptian fractions is to avoid using
> twice a fraction with identical denominator: 1/3+1/3 is forbidden.
> Just starting with "3+" is much better than "1+1+1" which would certainly
> not be "more egyptian"...
> 
> 

-- 
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Karol A. PENSON
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