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・ Saddle River Stringband (album)
・ Saddle River, New Jersey
・ Saddle Rock Elementary School
・ Saddle Rock Estates, New York
・ Saddle Rock Grist Mill
・ Saddle Rock, New York
・ Saddle Rock-Malibu AVA
・ Saddle roof
・ Saddle seat
・ Saddle shoe
・ Saddle soap
・ Saddle sore
・ Saddle stitch stapler
・ Saddle stitcher
・ Saddle Store
Saddle surface
・ Saddle tank
・ Saddle tank (submarine)
・ Saddle the Wind
・ Saddle tower
・ Saddle tramp
・ Saddle Tramp (album)
・ Saddle Tramp (film)
・ Saddle Up
・ Saddle valve
・ Saddle wrasse
・ Saddle, Arkansas
・ Saddle-backed Mauritius giant tortoise
・ Saddle-backed Rodrigues giant tortoise
・ Saddle-billed stork


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Saddle surface : ウィキペディア英語版
Saddle surface

A saddle surface is a smooth surface containing one or more saddle points. The term derives from the peculiar shape of historical horse saddles, which curve both up and down.
Classical examples of two-dimensional saddle surfaces in the Euclidean space are second order surfaces, the hyperbolic paraboloid z=x^2-y^2 (which is often referred to as the saddle surface or "the standard saddle surface") and the hyperboloid of one sheet. The Pringles potato chip or crisp is an everyday example of a hyperbolic paraboloid shape.
Saddle surfaces have negative Gaussian curvature which distinguish them from convex/elliptical surfaces which have positive Gaussian curvature. A classical third-order saddle surface is the monkey saddle.
The Ph.D. thesis of Grigori Perelman, titled "Saddle surfaces in Euclidean spaces," was devoted to saddle surfaces.

== References ==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Saddle surface」の詳細全文を読む



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