Difference between revisions of "Degenerate"

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Degenerate cases are special cases in which a problem reduces to a 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.
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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]].
  
 
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Revision as of 05:40, 16 August 2011

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.

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