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MathGroup Archive 2004

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AW: Simple question or how Mathematica getting on my nerves.

  • To: mathgroup at smc.vnet.net
  • Subject: [mg45786] AW: [mg45779] Simple question or how Mathematica getting on my nerves.
  • From: Klamser at t-online.de (Peter Klamser)
  • Date: Sun, 25 Jan 2004 03:04:41 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

you pay attention to the precision of your computation.

N[Integrate[2687176093959399272413585923303421161600*(1 - f)^67*f^61,{f,
0.6214`50.,0.5242`50.}]]

will produce the right result.

That is a often discussed problem: Search "Mathematica precision accuracy"
in google

Regards

Peter


-----Ursprüngliche Nachricht-----
Von: George [mailto:gtsavdar at auth.gr]
Gesendet: Samstag, 24. Januar 2004 06:37
An: mathgroup at smc.vnet.net
Betreff: [mg45779] Simple question or how Mathematica getting on my
nerves.


Although the 2 results must be the same they aren't. WHY???????
And not only this, but they differ by 10^21!!!!!! WHY????????

Please copy and paste this to Mathematica (i tried 5.0 and 4.2) to
understand what i mean:


\!\(k[f_] :=
    2687176093959399272413585923303421161600\ *\((1 - f)\)\^67\ *
      f\^61\[IndentingNewLine]
  N[\[Integral]\_\(6214\/10000\)\%\(5242\/10000\)k[
          f] \[DifferentialD]f]\[IndentingNewLine]
  N[\[Integral]\_0.6214\%0.5242 k[f] \[DifferentialD]f]\)




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