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MathGroup Archive 2001

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Re: Pattern matching "on the fly"

  • To: mathgroup at smc.vnet.net
  • Subject: [mg30277] Re: Pattern matching "on the fly"
  • From: Hendrik van Hees <h.vanhees at gsi.de>
  • Date: Sat, 4 Aug 2001 20:02:05 -0400 (EDT)
  • Organization: GSI Darmstadt
  • References: <9jtk77$87r$1@smc.vnet.net> <9jvrbe$doi$1@smc.vnet.net> <9kdbfr$f2m$1@smc.vnet.net> <9kg0ep$id0$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Stephen P Luttrell wrote:

> Oops. The input was actually
> 
> (1+x)^1000000000000000000000 +O[x]^3//Normal//Timing
> 
> This took "zero" time to evaluate, so we can safely assume that
> Mathematica drops the O[x]^3 terms as it goes along.

I'm wondering why this should be any problem for Mathematica. It's simply a 
power series. One can use either binomials or the Taylor expansion to 
obtain the result

Mathematica 4.0 for Students: Linux Version
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 -- Motif graphics initialized -- 


In[1]:= Series[(1 + x)^1000000000000000000000, {x, 0, 3}]

Out[1]= 1 + 1000000000000000000000 x + 
 
                                                 2
>    499999999999999999999500000000000000000000 x  + 
 
                                                                      3
>    166666666666666666666166666666666666666667000000000000000000000 x  + 
 
         4
>    O[x]

given by Mathematica in negligible time.

-- 
Hendrik van Hees                Home: http://theory.gsi.de/~vanhees/    
c/o GSI-Darmstadt SB3 3.183     FAQ: http://theory.gsi.de/~vanhees/faq/
Planckstr. 1                    
D-64291 Darmstadt               mailto:h.vanhees at gsi.de 


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