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MathGroup Archive 2001

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Re: I'm new

  • To: mathgroup at smc.vnet.net
  • Subject: [mg28314] Re: I'm new
  • From: Erk Jensen <Erk.Jensen at cern.ch>
  • Date: Wed, 11 Apr 2001 02:00:54 -0400 (EDT)
  • Organization: CERN http://www.cern.ch
  • References: <9arn9q$qno@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Niarlatotep wrote:
> 
> I'm new, so excuse me if possible.
> 
> What's going really here ?
> 
> I red
> " log x > x - proof?
> Dear all,
> 
> Please could someone give me some hints as to how to prove that
> 
> log x > x for all x > 0
> 
> Isn't it proof by contradiction, or by intimidation?

Forget it - it just gives a new meaning to the word "larger" - which actually
here should read "smaller".

Then the proof is roughly...
    find the zero of D[x-Log[x],x] (an extremum), show that it is a minimum, and
that the function value is positive there ...

Ciao
      -erk-


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