Results 1 to 2 of 2

Math Help - summation and product rules

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    17

    summation and product rules

    I am struggling with the basic theory behind summations and products of the series of numbers can anybody give me a link to a site with some theory or give me some general rules.

    Example

    log(product series from i = 1 to n of ((lambda ^xi)/xi!)

    = summation from i = 1 to n of (xi * log lambda - log (xi!))

    how do you get from the product of the numbers to the summation?????
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,639
    Thanks
    1592
    Awards
    1
    Quote Originally Posted by revolution2000 View Post
    I am struggling with the basic theory behind summations and products of the series of numbers can anybody give me a link to a site with some theory or give me some general rules.

    Example

    log(product series from i = 1 to n of ((lambda ^xi)/xi!)

    = summation from i = 1 to n of (xi * log lambda - log (xi!))

    how do you get from the product of the numbers to the summation?????
    \log(a\cdot b\cdot c)=\log(a)+\log(b)+\log(c)
    \log \left( {\prod\limits_{k = }^N {x_k } } \right) = \sum\limits_{k = 1}^N {\log \left( {x_k } \right)}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 6
    Last Post: September 7th 2010, 09:03 PM
  2. Replies: 7
    Last Post: March 6th 2010, 03:48 PM
  3. Replies: 12
    Last Post: October 27th 2009, 08:00 AM
  4. multivariable differential for inner product(scalar product)?
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: October 23rd 2009, 05:40 PM
  5. product of two summation
    Posted in the Algebra Forum
    Replies: 2
    Last Post: October 15th 2008, 10:13 PM

Search Tags


/mathhelpforum @mathhelpforum