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Difference between revisions of "Internal boundary"

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''of a region <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i051/i051890/i0518901.png" /> in the Euclidean space <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i051/i051890/i0518902.png" />''
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The set <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i051/i051890/i0518903.png" />, where <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i051/i051890/i0518904.png" /> is the boundary of <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i051/i051890/i0518905.png" /> and <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i051/i051890/i0518906.png" /> is the boundary of the complement of the closed region <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i051/i051890/i0518907.png" />.
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''of a region $D$ in the Euclidean space $\mathbf{R}^n$''
  
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The set $\partial D \setminus \partial(\complement\bar D)$, where $\partial D$ is the boundary of $D$ and $\partial(\complement\bar D)$ is the boundary of the complement of the closed region $\bar D$.
  
  
 
====Comments====
 
====Comments====
 
The internal boundary is also called the inner boundary.
 
The internal boundary is also called the inner boundary.

Latest revision as of 18:48, 14 April 2017


of a region $D$ in the Euclidean space $\mathbf{R}^n$

The set $\partial D \setminus \partial(\complement\bar D)$, where $\partial D$ is the boundary of $D$ and $\partial(\complement\bar D)$ is the boundary of the complement of the closed region $\bar D$.


Comments

The internal boundary is also called the inner boundary.

How to Cite This Entry:
Internal boundary. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Internal_boundary&oldid=41018
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article