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geometry > differential geometry > differential geometry of surfaces > saddle point

geometry > geometric figure > point > saddle point

geometry > Euclidean geometry > point > saddle point

mathematical analysis > calculus > multivariable calculus > saddle point

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saddle point

Definición

In mathematics, a saddle point or minimax point is a point on the surface of the graph of a function where the slopes (derivatives) in orthogonal directions are all zero (a critical point), but which is not a local extremum of the function. An example of a saddle point is when there is a critical point with a relative minimum along one axial direction (between peaks) and at a relative maximum along the crossing axis. However, a saddle point need not be in this form. For example, the function ${\\displaystyle f(x,y)=x^{2}+y^{3}}$ has a critical point at ${\\displaystyle (0,0)}$ that is a saddle point since it is neither a relative maximum nor relative minimum, but it does not have a relative maximum or relative minimum in the ${\\displaystyle y}$ -direction.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Saddle_point)

Concepto genérico

etiqueta alternativa (skos)

minimax point

En otras lenguas

point col

francés
point-selle

URI

http://data.loterre.fr/ark:/67375/PSR-WTHH9Q9G-S

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