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Problems with SIMPLIFY and SOLVE

• To: mathgroup at smc.vnet.net
• Subject: [mg34111] Problems with SIMPLIFY and SOLVE
• From: hannes.egli at uni-greifswald.de (Hannes Egli)
• Date: Sat, 4 May 2002 04:28:33 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Hello

1)
After the following input, I would expect the output TRUE, since after
my mathematical understanding, the expression is unambiguously
negative. Mathematica, however, only restates the expression.

Element[{a, b, n, m}, Reals]

Simplify[-m^(-2 + a + b + n)*(-1 + a + b + n)*(a/(a + b + n))^a
*((b + n)/(a + b + n))^(b + n)*(a + b + n) < 0, {a > 0, b > 0, n > 0,
a + b + n > 1}]


2)
The second problem may be similar. Given the restriction on the
parameter values, the following equation should can be solved for m:

Element[{a, b, n, m}, Reals]

Solve[a/(a + b + n) - m^(-1 + a + b + n)*(a/(a + b + n))^a
*((b + n)/(a + b + n))^(b + n)*(a + b + n) == 0, m]

Does somebody see what I am doing wrong?

Thanks

Hannes

• Follow-Ups:
  • RE: Problems with SIMPLIFY and SOLVE
    • From: "Higinio Ramos" <higra@usal.es>