Difference between revisions of "Degenerate"
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A mathematical object is described as '''degenerate''' in special cases in which the object reduces to a particularly simple form. It is often used in [[geometry]] to describe simple [[conic section]]s such as [[point]]s, and [[triangles]] which are actually line segments, that is, where the [[vertices]] are [[collinear]]. | A mathematical object is described as '''degenerate''' in special cases in which the object reduces to a particularly simple form. It is often used in [[geometry]] to describe simple [[conic section]]s such as [[point]]s, and [[triangles]] which are actually line segments, that is, where the [[vertices]] are [[collinear]]. | ||
| + | Nondegenerate means when a [[triangle]] whose vertices are [[collinear]]. | ||
[[Category:Definition]] | [[Category:Definition]] | ||
{{stub}} | {{stub}} | ||
Revision as of 18:55, 17 October 2012
A mathematical object is described as degenerate in special cases in which the object reduces to a particularly simple form. It is often used in geometry to describe simple conic sections such as points, and triangles which are actually line segments, that is, where the vertices are collinear.
Nondegenerate means when a triangle whose vertices are collinear.
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