Results 1 to 2 of 2

Math Help - Lower bound

  1. #1
    Newbie
    Joined
    Apr 2005
    Posts
    5

    Lower bound

    Hi

    Given a set of n matrix A_{1..n}, size p \times q such that \forall a_{ij}\epsilon A_{z},z=1..n : 0\leq a_{ij}\leq1 , \sum a_{ij}=1 and H_{z}= \sum_{i,j}a_{ij} \log_{2}a_{ij}, a_{ij}\epsilon A_{z}.
    Find a bound (minimum) for \sum_{i,j} \frac{\prod_{1}^{n} A_{i}}{\sum_{i,j} \prod_{1}^{n} A_{i}}log_{2} \frac{\prod_{1}^{n} A_{i}}{\sum_{i,j} \prod_{1}^{n} A_{i}} as a function of H_{z},z=1..n
    PS: AB is the element-by-element product of the arrays A and B(such as A.*B in matlab)
    Last edited by Jameson; May 9th 2006 at 01:41 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Oct 2005
    From
    Earth
    Posts
    1,599
    Instead of using the $ $ tags, use the [ math ] ones.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: February 19th 2010, 02:06 AM
  2. Greatest lower bound and lower bounds
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: October 13th 2009, 03:26 PM
  3. lower bound
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: September 17th 2009, 09:40 AM
  4. Upper bound/Lower bound?
    Posted in the Pre-Calculus Forum
    Replies: 7
    Last Post: September 13th 2009, 11:48 AM
  5. least upper bound and greatest lower bound
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 22nd 2007, 10:59 AM

Search Tags


/mathhelpforum @mathhelpforum