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We'll define what C^{2} regular level surfaces are. From here we'll go on to derive useful formulas for dealing with these surfaces. Specifically we'll see how to differentiate a function on these surfaces (i.e., covariant differentiation) and move over them in straight lines (i.e., geodesics). Definition of a KKT point in terms of covariant derivatives. Host: DDMA Data Sciences Summer School - Katharine Chartrand |