noun, plural singularities for 2–4.
the state, fact, or quality of being singular.
a singular, unusual, or unique quality; peculiarity.
Mathematics, singular point.
Astronomy. (in general relativity) the mathematical representation of a black hole.

1300–50; Middle English singularite < Late Latin singulāritās. See singular, -ity

nonsingularity, noun, plural nonsingularities. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
singularity (ˌsɪŋɡjʊˈlærɪtɪ)
n , pl -ties
1.  the state, fact, or quality of being singular
2.  something distinguishing a person or thing from others
3.  something remarkable or unusual
4.  maths
 a.  See also pole a point at which a function is not differentiable although it is differentiable in a neighbourhood of that point
 b.  another word for discontinuity
5.  astronomy a hypothetical point in space-time at which matter is infinitely compressed to infinitesimal volume

Collins English Dictionary - Complete & Unabridged 10th Edition
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American Heritage
Science Dictionary
singularity   (sĭng'gyə-lār'ĭ-tē)  Pronunciation Key 
  1. A point of infinite density and infinitesimal volume, at which space and time become infinitely distorted according to the theory of General Relativity. According to the big bang theory, a gravitational singularity existed at the beginning of the universe. Singularities are also believed to exist at the center of black holes.

  2. Mathematics A point at which the derivative does not exist for a given function but every neighborhood of which contains points for which the derivative exists.

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