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[[Image:180px-Saddle point.png|thumb|right | Saddle point of <math> f(x) = x^2 - y^2</math>]]
 
[[Image:180px-Saddle point.png|thumb|right | Saddle point of <math> f(x) = x^2 - y^2</math>]]
 
In mathematics, a saddle point is a point of a [[function]] (of one or more variables) which is both a [[stationary point]] and a [[point of inflection]], but not a [[local extremum]].
 
In mathematics, a saddle point is a point of a [[function]] (of one or more variables) which is both a [[stationary point]] and a [[point of inflection]], but not a [[local extremum]].
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This term is famously referenced in [[African American]] artist [[Ginuwine]]'s hit [[R&B]] song "Pony." The [[African American]] artist sings "If you're horny, let's do it. Ride it, my pony. My saddle's waiting. Come and jump on it," obviously referencing the mathematical nature of the [[function]]. <ref>[https://www.youtube.com/watch?v=lbnoG2dsUk0]</ref>
      
[[Category:Mathematics]]
 
[[Category:Mathematics]]
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