Degenerate

Pronunciation: /dɪˈdʒɛn ə rɪt/ Explain

A degenerate case is a case where the class of an object changes to a usually simpler object. Degenerate cases are limiting, meaning that the original object can not be changed any further. Table 1 shows a number of degenerate objects.

General caseDegenerate case
CircleA circle with a radius of zero has degenerated to a point.
RectangleA rectangle with one side having a length of zero has degenerated to a line segment.
HyperbolaA hyperbola can degenerate into two lines crossing at a point.
ContinuumA degenerate continuum is a single point.
Table 1: Degenerate objects

Cite this article as:

McAdams, David E. Degenerate. 7/4/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/d/degenerate.html.

Revision History

7/4/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
1/22/2010: Added "References". (McAdams, David E.)
12/4/2008: Initial version. (McAdams, David E.)

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