Etymology
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irregularity (n.)

early 14c., "violation of Church rules governing admission to clerical office," from Old French irregularité (14c.) and directly from Medieval Latin irregularitas "irregularity," from irregularis "not regular" (see irregular (adj.)). Meaning "that which is irregular" is from late 15c.; sense of "state of non-conformity to rule" is from 1590s; meaning "want of symmetry" is from 1640s.

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Definitions of irregularity

irregularity (n.)
behavior that breaches the rule or etiquette or custom or morality;
Synonyms: abnormality
irregularity (n.)
not characterized by a fixed principle or rate; at irregular intervals;
Synonyms: unregularity
irregularity (n.)
an irregular asymmetry in shape; an irregular spatial pattern;
Synonyms: geometrical irregularity
irregularity (n.)
irregular and infrequent or difficult evacuation of the bowels; can be a symptom of intestinal obstruction or diverticulitis;
Synonyms: constipation
From wordnet.princeton.edu