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September 1st, 2009, 06:57 PM  #1 
Newbie Joined: Sep 2009 Posts: 1 Thanks: 0  Simplification of an Equation
I am wondering what some approches to simplifying the following equation may be: where n={0.1.2.3.4.5} w={0.1} Thanks 
September 1st, 2009, 11:05 PM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Simplification of an Equation
The expression itself doesn't simplify much, apart from consolidating constants. Since you know a small range for n I'd also simplify most of (49 + n)! / 54!. In Pari/GP (see .sig): Code: F(n,w)=1712711*n!*(5n)!^2*(49+n)!*38^w/(40*54!) for(n=0,5,for(w=0,1,print("F("n", "w") = "F(n,w)))) 

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