Changes

A '''level curve''' is the [[curve]] formed by the intersection of an '''''n'''''-dimensional function with an '''''n-1'''''-dimensional plane.  For example, a two-dimensional level curve is formed by the intersection of a 3-dimensional function with a plane.  Level curves are often used in [[mathematics]] to show on a two-dimensional graph how three-dimensional functions are changing.  It can be easier to draw a there-dimensional curve in two dimensions by plotting its level curves, and then visualizing the extension of those curves into three dimensions.

A '''level curve''' is the [[curve]] formed by the intersection of an '''''n'''''-dimensional function with an '''''n-1'''''-dimensional plane.  For example, a two-dimensional level curve is formed by the intersection of a 3-dimensional function with a plane.  Level curves are often used in [[mathematics]] to show on a two-dimensional graph how three-dimensional functions are changing.  It can be easier to draw a three-dimensional curve in two dimensions by plotting its level curves, and then visualizing the extension of those curves into three dimensions.

For example, the set of level curves of a function ''f(x,y)'' consists of the curve of points ''(x,y)'' for each constant value of ''f(x,y)''.  A set of level curves for different constants ''c'' is referred to as a contour plot.  

For example, the set of level curves of a function ''f(x,y)'' consists of the curve of points ''(x,y)'' for each constant value of ''f(x,y)''.  A set of level curves for different constants ''c'' is referred to as a contour plot.