Results 1 to 1 of 1

Math Help - Attempting to find a relation that satisfies an equation (given in text)

  1. #1
    Newbie
    Joined
    Jan 2010
    Posts
    1

    Attempting to find a relation that satisfies an equation (given in text)

    I'm trying to find out if there is some sort of functional relationship between \pi and \psi such that     \sum\limits_{k=1}^{G}{{{\pi }_{k}}\left[ 1-{{\left( 1-{{\psi }_{k}} \right)}^{h}} \right]}=\frac{h}{b+h}\. In other words, under what conditions (i.e. relationship between \pi and \psi would this equation be true?

    With some manipulating,     \sum\limits_{k=1}^{G}{{{\pi }_{k}}\left( 1-{{e}^{-{{C}_{k}}h}} \right)}\text{ where }{{C}_{k}}=-\log \left( 1-{{\psi }_{k}} \right)\<br />
  , and also  \exp (-\log (a))=\frac{1}{a}\, but I'm having trouble figuring out how to move forward from there. The left-hand side can be expressed in the form of a dot-product as well. This isn't math homework, it's biological research - so my apologies if the framing isn't particularly clear.

    Thanks in advance for your ideas and comments.
    Last edited by xadan; January 10th 2010 at 11:35 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: March 17th 2011, 03:01 AM
  2. Replies: 1
    Last Post: February 18th 2009, 12:01 AM
  3. Replies: 2
    Last Post: December 9th 2008, 10:25 AM
  4. plz find matrix satisfies these
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: April 26th 2008, 12:33 AM
  5. To show that z satisfies the relation
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 24th 2007, 06:00 AM

Search Tags


/mathhelpforum @mathhelpforum