Mathematica 9 is now available
Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
2005
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*December
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2005

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: Computation speeds: numerical vs symbolic

  • To: mathgroup at smc.vnet.net
  • Subject: [mg55921] Re: Computation speeds: numerical vs symbolic
  • From: David Bailey <dave at Remove_Thisdbailey.co.uk>
  • Date: Sun, 10 Apr 2005 06:54:52 -0400 (EDT)
  • References: <d2tfah$ql7$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Perhaps it helps to compare numeric and symbolic integration a 
different way. The time it takes to do a numerical integration obviously 
depends on the number of digits you require. An infinite number of 
digits would require an infinite amount of time.

Consider now, a symbolic integration such as:

Integrate[Exp[-x^2],{x,-\[Infinity],\[Infinity]}]

The answer, Sqrt[Pi], is exact - in effect it contains an infinite 
number of digits - so which is more efficient now?

David Bailey
dbaileyconsultancy.co.uk


  • Prev by Date: Re: Computation speeds: numerical vs symbolic
  • Next by Date: OSX version of Extrapackages folder
  • Previous by thread: Re: Re: Computation speeds: numerical vs symbolic
  • Next by thread: Internet links/URLs/browser activation from with an Mathematica notebook?