MathGroup Archive 2005

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

Search the Archive

Re: Computation speeds: numerical vs symbolic


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?