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MathGroup Archive 1998

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defining "regions"

  • To: mathgroup at smc.vnet.net
  • Subject: [mg14698] defining "regions"
  • From: "Naum Phleger" <naum at terrapin.physics.ucsb.edu>
  • Date: Sun, 8 Nov 1998 21:15:54 -0500
  • Organization: UCSB
  • Sender: owner-wri-mathgroup at wolfram.com

    I have a discreet set of {x,y} points and I want to check if each is
in a particular continuos set of {x,y} points.  I can only define the
region parametrically but other then that it looks something like this

region= {-1<x<1 , 0<y<2} 

I want to perform a test like

{x,y} "included in" region

{0,1} "included in" region
        ->True

{5,7} "included in" region
        ->False

    Is this possible  My region is defined in a more difficult manner. 
It looks more like this


region = F[{theta,fi}] for {-pi/2 < theta < pi/2}, {-pi < fi < pi }

where F returns an {x,y} pair

              -NAUM


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