Level set
From Encyclopedia of Mathematics
of a function
The set of points in on which
. If the function
is given on a square
of the plane
and has partial derivatives there which also satisfy a Lipschitz condition, then for almost-all
in the interval
the level set
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consists of a finite number of regular curves (on them, ). Cf. Sard theorem.
How to Cite This Entry:
Level set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Level_set&oldid=18462
Level set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Level_set&oldid=18462
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article