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<a accesskey="3" href="page.php?w=Stretch_factor&amp;p=2">3.Next</a>
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<p>The <b>stretch factor</b> (i.e., <b><a href="page.php?w=Lipschitz_continuity">bilipschitz constant</a></b>) of an <a href="page.php?w=embedding">embedding</a> measures the factor by which the embedding distorts <a href="page.php?w=distance">distance</a>s. Suppose that one <a href="page.php?w=metric_space">metric space</a>  is embedded into another metric space  by a <a href="page.php?w=metric_map">metric map</a>, a continuous one-to-one function  that preserves or reduces the distance between every pair of points. Then the embedding gives rise</p><p>
<a accesskey="3" href="page.php?w=Stretch_factor&amp;p=2">3.Next</a>
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