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Saddle point

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…

Applications, Mathematical discussion & Saddle surface

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Mathematical discussion

Saddle surface

Examples

Other uses

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Map overview Semantic statistics

Saddle point

Nodes47
Edges46
Triples17
Avg. degree1.96
Density0.042553
Components1

How this topic connects Entity context

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Saddle point

Top relations

related to External links · 4
Saddle point → Media, Saddle, Wikimedia Commons, Wiktionary-logo-en-v2
related to Mathematical discussion · 4
Saddle point → For, Hessian, Therefore, This
related to Saddle surface · 3
Saddle point → Classical, Euclidean, The Pringles
is a · 2
Saddle point → hyperbolic periodic point whose stable and unstable manifolds have a dimension that is not zero.A saddle point of a matrix is an element which is both the largest element in its…, point which is both a stationary point and a point of inflection
related to Examples · 2
Saddle point → For, In
related to Other uses · 2
Saddle point → In, Then

Important terminology Word statistics

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Important terminology

point saddle surface example critical function one contour lines minimum maximum hyperbolic displaystyle space two orthogonal stationary matrix zero directions

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Saddle pointis apoint which is both a stationary point and a point of inflection0.90text
Saddle pointis ahyperbolic periodic point whose stable and unstable manifolds have a dimension that is not zero.A saddle point of a matrix is an element which is both the largest element in its…0.90text
Saddle pointrelated to ExamplesIn0.60section
Saddle pointrelated to ExamplesFor0.60section
Saddle pointrelated to External linksWiktionary-logo-en-v20.60section
Saddle pointrelated to External linksMedia0.60section
Saddle pointrelated to External linksSaddle0.60section
Saddle pointrelated to External linksWikimedia Commons0.60section
Saddle pointrelated to Mathematical discussionHessian0.60section
Saddle pointrelated to Mathematical discussionFor0.60section
Saddle pointrelated to Mathematical discussionTherefore0.60section
Saddle pointrelated to Mathematical discussionThis0.60section

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    Min side: 3
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