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
 |
consists of a finite number of regular curves (on them, 
). Cf. Sard theorem.
How to Cite This Entry:
Level set. M.I. Voitsekhovskii (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Level_set&oldid=18462
Level set. M.I. Voitsekhovskii (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Level_set&oldid=18462
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098