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1. Saddle Point

   Linked via "first partial derivatives"

   A saddle point is a critical point of a function where the first partial derivatives are all zero, but which is neither a local maximum nor a local minimum. In multivariable calculus, a saddle point represents a location where the function increases along one direction (or set of directions) and decreases along another direction (or set of directions). The concept is fundamental in optimization, [differential geometry](/entries/differen…