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MathGroup Archive 2005

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Re: FixedPoint stops "when elements no longer change"?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg62962] Re: FixedPoint stops "when elements no longer change"?
  • From: Bill Rowe <readnewsciv at earthlink.net>
  • Date: Fri, 9 Dec 2005 05:10:41 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

On 12/8/05 at 12:04 AM, hattons at globalsymmetry.com (Steven T.
Hatton) wrote:

>Jean-Marc Gulliet wrote:

>>In[16]:= l = FixedPointList[Cos, 1.];

>>In[17]:= NumberForm[l, Floor[$MachinePrecision] + 1]

>This is from the commandline UI:

>In[1]:= Information[$MachinePrecision] $MachinePrecision gives the
>number of decimal digits of precision used for
>machine-precision numbers.

>Attributes[$MachinePrecision] = {Protected}

>$MachinePrecision = 15.954589770191003

>Interestingly, I get a different result in the FrontEnd:

>$MachinePrecision=15.9546

This is not a different result. It is the same result displayed differently, i.e.,

In[37]:=FullForm[$MachinePrecision]

Out[37]:=15.954589770191003`

By default, Mathematica displays only the first 6 digits of machine precision numbers.
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