Re: RegionPlot and Show

• To: mathgroup at smc.vnet.net
• Subject: [mg130269] Re: RegionPlot and Show
• From: debguy <johnandsara2 at cox.net>
• Date: Sun, 31 Mar 2013 03:11:10 -0400 (EDT)
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• References: <20130322081701.3A31A6A1A@smc.vnet.net> <kijlb6\$is2\$1@smc.vnet.net>

```1.  Show[ A ] /; (* A is { A[[1]], A[[2]] } *)
Show[ Table[A[i], {i,...}] (* A is a function A[1], A[2] ... *)

2. Now say that each A[i] is a regionplot. I would like to get their
reunion.
I know I can technically plot by overlapping all of them to get it but
if there are many, the size of the resulting figure is too large due
to many layers on top of  each other.

I'm sure Bob may have answered.  ReUnion what is that?

RegionPLot only plots a List of "True" or "False" - it's simple - and
not a Union.   I'm unsure how Bob knows the inner structure of A since
you never mentioned it yet.  Union, Intersection, Complement: these
three can be combined to make any logic selections.  If, ie,
Union[ a[1], a[2] ] works depends on a.

That being so it doesn't make allot of sense to redo the logic of A[1]
A[2] after RegionPlot rather than before A[1] A[2] are made, since now
you have to hack the output syntax of RegionPlot[..][[1]]  (see below)

I mean:

p3=Module[{x,y},Plot3D[Sin[x] Exp[y], {x, -5, 5}, {y, -2,
2},PlotPoints->10]];
p4[[1]] = p3[[1]] .25 ;
Show[p3, p4];

shows p4 graphically smaller than p3.  The structure of Plot3D[...]
[[1]] allows multiplication directly (being a list, other Operators
could be applied).  RegionPlot[...][[1]] I'm unsure of the "Structure
of Graphics" of.

```

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