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Level set

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In mathematics, a level set of a real-valued function f of n real variables is a set where the function takes on a given constant value c, that is:

Level set - Wikipedia Jump to content From Wikipedia, the free encyclopedia Subset of a function's domain on which its value is equal For the computational technique, see Level-set method . "Level surface" redirects here. For the application to force fields, see Equipotential surface . For water level surfaces, see Equigeopotential . Points at constant slices of x 2 = f ( x 1 ) . Lines at constant slices of x 3 = f ( x 1 , x 2 ) . Planes at constant slices of x 4 = f ( x 1 , x 2 , x 3 ) . ( n − 1) -dimensional level sets for functions of the form f ( x 1 , x 2 , …, x n ) = a 1 x 1 + a 2 x 2 +

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