FindInstance puzzler
- To: mathgroup at smc.vnet.net
- Subject: [mg83633] FindInstance puzzler
- From: Mark Fisher <particlefilter at gmail.com>
- Date: Mon, 26 Nov 2007 03:49:26 -0500 (EST)
Hi all, I'm puzzled by the results of FindInstance which seems to restrict its results to a subregion of the valid space. conds = And @@ Append[Thread[(Abs[L] /. Solve[1 - z1 L - z2 L^2 == 0, L]) >= 1], z1 + z2 >= 0]; RegionPlot[conds, {z1, -.75, 2.25}, {z2, -1.25, 1.25}, PlotPoints -> 90, Epilog -> Point[{z1, z2} /. FindInstance[conds, {z1, z2}, Reals, 10^3]]] I suppose this isn't a bug, because the results of FindInstance are all valid, but nevertheless I find it unpleasing (to say the least) that part of the valid space seems to get no representation. It means that FindInstance is of limited use for exploring such spaces. --Mark
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