Definition:Degenerate Case
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This page is about Degenerate Case. For other uses, see Degenerate.
Definition
A degenerate case is a specific manifestation of a particular type of object being included in another, usually simpler, type of object.
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Example
A pair of intersecting lines are a degenerate case of a conic section. Such an object is formed by the intersection of a plane with a double napped cone such that the plane passes through the apex of the cone.
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Sources
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Entry: degenerate
- Weisstein, Eric W. "Degenerate." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Degenerate.html