1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to parse this formula?

  1. Jun 3, 2015 #1
    I'm studying a research paper that gives this formula for the running time of an algorithm,

    expO((log N)^α(log log N)^(1−α)) = L(a)

    I would like to plot this function alongside another, for a = 1/4 + O(1), a = 1/4 + O(n), and a= 1/3. The function's growth parameratized by those a's, should be ordered from small to big in the order I listed them.

    Here is a link to the article, the formula is found in the introduction.
    http://link.springer.com/chapter/10.1007/978-3-642-55220-5_1

    If you can help me interpret this in a way that I can plot the function correctly, that would be helpful.
     
  2. jcsd
  3. Jun 3, 2015 #2

    fzero

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    The preprint (free) version of the article is http://arxiv.org/abs/1306.4244. Let ##x= \log N## and ##y=\log\log N##. I parse that the argument of the exponent is ##O(x^\alpha y^{1-\alpha})##.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook