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Date: 28-9-2021
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The level set of a differentiable function corresponding to a real value is the set of points
For example, the level set of the function corresponding to the value is the sphere with center and radius .
If , the level set is a plane curve known as a level curve. If , the level set is a surface known as a level surface.
REFERENCES:
Gray, A. "Level Surfaces in ." §12.7 in Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, pp. 291-293, 1997.
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