In
mathematics, a level set of a
real-valued
function f of n variables is a set of the form{ (x1,...,xn) | f(x1,...,xn) = c } where c is a constant. That is, it is the set where the function takes on a given constant value. When the number of variables is two, this is a level curve (
contour line), if it is three this is a level surface, and for higher values of n the level set is a level
hypersurface.
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Surface which at every point is perpendicular to the plumbline or the direction in which gravity acts.