Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

CAS that handles error terms?

  1. May 26, 2009 #1

    CRGreathouse

    User Avatar
    Science Advisor
    Homework Helper

    I was wondering if there was a computer algebra system (like Math'ca, Maple, or Maxima) that could handle manipulations with big O error terms.

    Mathematica has an O function, but it doesn't work properly:
    Code (Text):
    > x^2 Log[x] + x Log[x]^2 + x / Log[x] + O[x]

    O[x^1]
    (it should be "x^2 Log[x] + x Log[x]^2 + O[x]")

    But I'm interested in more than just cutting off small terms. I'd like to be able to do division
    Code (Text):
    > (x^2 + 3)/(x^2 + O(x))

    1 + O(1/x)
    and harder functions like inverses and integrals
    Code (Text):
    > inverse(x^2 + O(x), x)

    ±sqrt(x) + O(1)
    (Note: the Os in my examples are about +infinity; a system handling other limits would be nice.)

    Is there any system that can do this? If not, is there a reason? Is it harder than it seems?
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: CAS that handles error terms?
Loading...