lack of elegance
- To: mathgroup at smc.vnet.net
- Subject: [mg37983] lack of elegance
- From: "jan kahre" <jan at matheory.info>
- Date: Sat, 23 Nov 2002 19:15:18 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Dear Steve, I got a type of problems that I can solve with Mathematica by plodding through, but I'm sure there is a systematic "elegant" way even if it's beyond me. The problem is to find the range of the real variable alpha for which a given one-valued real function of three variables is greater than or equal to zero F(p,q,alpha) >= 0 for all values of p and q in the range 0<=p<=1 and 0<=q<=1 Two of my calculations are posted on the net on http://www.matheory.info/newresults.html 1. "Rényi Rate formula" where F(p,q,alpha) = ent_alpha(B@A) 2. "Symmetric Rényi" where F(p,q,alpha) = ent_alpha(B;A) If you open the notebooks, the functions F(p,q,alpha) will be found immediately above the heading "Calculations" JAN