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What is a boundary?

What is a boundary? Here are some definitions.

Noun
  1. The dividing line or location between two areas.
  2. (cricket) An edge or line marking an edge of the playing field.
  3. (cricket) An event whereby the ball is struck and either touches or passes over a boundary (with or without bouncing), usually resulting in an award of 4 (a four) or 6 (a six) runs respectively for the batting team.
  4. (topology) (of a set) The set of points in the closure of a set
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We also need to cross the boundary between environmental and non-environmental issues.
It spans the frontier of Leon and Asturias, the boundary of the realms of cloud and sun.
He advises you therefore to name the ambient sea for the boundary of your hospital.
At length he rose and climbed on, presently turning at a right-angle to bisect the strip to its boundary before he paused to rest.
Its posterior surface forms the anterior boundary of the chamber in which the aqueous humor is contained.
The Brazilian commissioners took advantage of the fact that the apa River has two forks, and chose the south fork as the boundary.

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