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<p>as  or  while the open -dimensional ball is  or .</p>

<p><big>In Euclidean space</big></p>
<p>In Euclidean -space, an (open) -ball of radius  and center  is the set of all points of distance less than  from . A closed -ball of radius  is the set of all points of distance less than or equal to  away from .</p>

<p>In Euclidean -space, every ball is bounded by a <a href="page.php?w=hypersphere">hypersphere</a>.  The ball is a bounded <a href="page.php?w=Interval_%28mathematics%29">interval</a> when , is a <b><a href="page.php?w=Disk_%28mathematics%29">disk</a></b></p><p>
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