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Re: Integer Solutions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg37513] Re: [mg37496] Integer Solutions
  • From: "Eric L. Strobel" <fyzycyst at comcast.net>
  • Date: Sat, 2 Nov 2002 03:30:47 -0500 (EST)
  • Reply-to: fyzycyst at mailaps.org
  • Sender: owner-wri-mathgroup at wolfram.com

on 11/1/02 1:44 AM, Munsup Seoh at munsup.seoh at wright.edu wrote:

> I have a question.  Please help me.  Can I solve the following equation with
> a simple "Solve" command in Mathematica?
> 
> ((x1, x2, x3, x4): x1 + x2 + x3 + x4 == 4; x1, x2, x3, x4 are nonnegative
> integers}

One equation, four unknowns?  I think Solve isn't what you want.  I'm not
familiar with the optimization part of Mathematica (though I'd like to be),
but this certainly looks like an optimization with cost function
L = (x1 + x2 + x3 + x4) - 4 and constraints x1 > 0, x2 > 0, x3 > 0, x4 > 0.

I assume this is a "toy" problem used to explore possible solutions of your
real problem, as the answer x1 = x2 = x3 = x4 = 1 is pretty obvious by
inspection.

- Eric.

-- 

Eric Strobel (fyzycyst at NOSPAM^mailaps.org)

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