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December 22nd, 2011, 03:39 AM  #1 
Joined: Dec 2011 Posts: 12 Thanks: 0  Mathematica  symbolic representation
Hey I have a considerably long formula involving binomial coefficients. I wish to tell Mathematica to give a (symbolic) representation of these binomial coefficients, but I don't know how. For example in I would like to get How can I do that? I appreciate your help! Cheers, maxiim 
December 22nd, 2011, 06:36 AM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 15,540 Thanks: 788 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Mathematica  symbolic representation
Generally Mathematica is pretty stupid. You should be able to do it with something like Code: f[x_] := LeafCount[x]  Count[x, _Binomial, {0, Infinity}] + 15 Count[x, _Plus, {0, Infinity}] Simplify[(n  2) (n  1) A + (n  3) (n  2) (n  1) B, ComplexityFunction > f] Code: Simplify[Hold[3! A Binomial[n, 3]/n + 4! B Binomial[n, 4]/n], ComplexityFunction > f] 
December 22nd, 2011, 09:16 AM  #3  
Joined: Dec 2011 Posts: 12 Thanks: 0  Re: Mathematica  symbolic representation
Hi CRGreathouse Thx for your answer. Quote:
Back to the problem: Id like Mathematica to transform the expression I have, that is to the representation with binomial coefficients without having to type all of them manually. (I have a large number of terms, so it would be very helpful). In more general terms, is it possible to transform a given expression in terms of builtin Mathematica functions? cheers, maxiim  

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