noun, plural irregularities for 2, 3.
the quality or state of being irregular.
something irregular.
a breach of rules, customs, etiquette, morality, etc.
occasional mild constipation.

1275–1325; Middle English irregularite < Old French < Medieval Latin irrēgulāritās. See ir-2, regularity Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
irregularity (ɪˌrɛɡjʊˈlærɪtɪ)
n , pl -ties
1.  the state or quality of being irregular
2.  something irregular, such as a bump in a smooth surface
3.  a breach of a convention or normal procedure

Collins English Dictionary - Complete & Unabridged 10th Edition
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Example sentences
But the sled's joints are still loosely bound to allow it to move flexibly over
  irregularities in the snow and ice.
The bumps and irregularities in the roads mean that the teams can't gain as
  high mileage as they would on a track.
The trade is fraught with permit irregularities and loopholes.
Deformities and other irregularities in frogs are debated among scientists.
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