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- Crunode abstract "In mathematics, a crunode (archaic) or node is a point where a curve intersects itself so that both branches of the curve have distinct tangent lines at the point of intersection. A crunode is also known as an ordinary double point.For a plane curve, defined as the locus of points f(x, y) = 0, where f(x, y) is a smooth function of variables x and y ranging over the real numbers, a crunode of the curve is a singularity of the function f, where both partial derivatives and vanish. Further the Hessian matrix of second derivatives will have both positive and negative eigenvalues.".
- Crunode thumbnail Cubic_with_double_point.svg?width=300.
- Crunode wikiPageID "3090324".
- Crunode wikiPageRevisionID "590706145".
- Crunode hasPhotoCollection Crunode.
- Crunode subject Category:Algebraic_curves.
- Crunode subject Category:Curves.
- Crunode type Abstraction100002137.
- Crunode type AlgebraicCurves.
- Crunode type Attribute100024264.
- Crunode type Curve113867641.
- Crunode type Curves.
- Crunode type Line113863771.
- Crunode type Shape100027807.
- Crunode comment "In mathematics, a crunode (archaic) or node is a point where a curve intersects itself so that both branches of the curve have distinct tangent lines at the point of intersection. A crunode is also known as an ordinary double point.For a plane curve, defined as the locus of points f(x, y) = 0, where f(x, y) is a smooth function of variables x and y ranging over the real numbers, a crunode of the curve is a singularity of the function f, where both partial derivatives and vanish.".
- Crunode label "Crunode".
- Crunode sameAs m.08qrrw.
- Crunode sameAs Q3890126.
- Crunode sameAs Q3890126.
- Crunode sameAs Crunode.
- Crunode wasDerivedFrom Crunode?oldid=590706145.
- Crunode depiction Cubic_with_double_point.svg.
- Crunode isPrimaryTopicOf Crunode.