MathGroup Archive 2012

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: Simplify Binomial


On 9 Aug 2012, at 03:36, Themis Matsoukas <tmatsoukas at me.com> wrote:

> This works:
> 
> FullSimplify[Binomial[m + 1, n + 1]/Binomial[m, n]]
> 
> (1 + m)/(1 + n)
> 
> but this doesn't:
> 
> FullSimplify[Binomial[m, n + 1]/Binomial[m, n]]
> 
> Binomial[m, 1 + n]/Binomial[m, n]
> 
> How do I get Mathematica to simplify the last result to (m-n)/n?
> 
> Thanks
> 

Your answer is wrong, but anyway FullSimplify won't work here. However:

FunctionExpand[Binomial[m, n + 1]/Binomial[m, n], 
 Element[m | n, Integers] && m > 0 && 
     n > 0 && m > n]

 (m - n)/(n + 1)



  • Prev by Date: Re: Surface Smoothing
  • Next by Date: Nested numerical integral - speed: Is it suppose to be so slow?
  • Previous by thread: Re: Simplify Binomial
  • Next by thread: Re: Simplify Binomial