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

Asymptotic Approximation

  1. May 7, 2013 #1
    Hello all,

    Which of the following asymptotic equations (as rho goes to infinity) correct:

    [tex]1-\prod_{m=1}^M(1-\rho^{-x_m})\doteq \sum_{m=1}^M \rho^{-x_m}[/tex]

    or

    [tex]1-\prod_{m=1}^M(1-\rho^{-x_m})\doteq \rho^{-\underset{m}{\min}x_m}[/tex]

    Thanks
     
    Last edited: May 7, 2013
  2. jcsd
  3. May 7, 2013 #2

    mathman

    User Avatar
    Science Advisor
    Gold Member

    The first expression is more accurate. The second will do as long as the min xm appears only once. If it appears more than once, you need to multiply by the number of occurrences.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Asymptotic Approximation
  1. Asymptotic Equality (Replies: 1)

  2. Asymptotic expansions (Replies: 2)

  3. Curved Asymptotes (Replies: 2)

Loading...