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Minimizing an integer value function

• To: mathgroup at smc.vnet.net
• Subject: [mg60868] Minimizing an integer value function
• From: "Ingolf Dahl" <ingolf.dahl at telia.com>
• Date: Sat, 1 Oct 2005 02:55:44 -0400 (EDT)
• Reply-to: <ingolf.dahl at telia.com>
• Sender: owner-wri-mathgroup at wolfram.com

To MathGroup,

Suppose we have a function that only takes integer values, but anyway is
quite smooth

e.g. 

func1[x_, y_, z_] := Floor[(x - 2.1)^2 + (y - 3.21)^2 + (z - 4.3)^4 + 54.9]

or

func2[x_, y_, z_] := Floor[(x - 2)^2 + (y - 30000)^2 + (z - 4)^4 + 54.8]

What is the best way to minimize such a function, using Mathematica? 

Ingolf Dahl

Sweden