Definition of singularities:
(n) :
The state of being singular, distinct, peculiar, uncommon or unusual.
(n) :
An unusual action or behaviour.
(n) :
A point where a measured variable reaches unmeasurable or infinite value.
(n) :
(mathematics) The value or range of values of a function for which a derivative does not exist.
(n) :
A point where all parallel lines meet.
(n) :
Celibacy, singleness (as contrasted with marriage).