Definition:Regular

Disambiguation

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Regular may refer to:

• Set Theory:
  • Regular Cardinal

• Complex Analysis:
  • Regular Function: another term for a analytic complex function

• Matrix Algebra:
  • Regular Matrix: another term for an invertible matrix

• Abstract Algebra:
  • Regular Representations:
    • Left Regular Representation
    • Right Regular Representation
  • Regular Element: another term for a cancellable element
  • Regular Element of Ring: an element of a ring which is not a zero divisor

• Geometry:
  • Regular Polygon, for example:
    • Regular Pentagon
    • Regular Hexagon
  • Regular Polyhedron: also see: Platonic Solid

• Topology:
  • Regular Open Set
  • Regular Closed Set
  • Regular Value
  • Regular Space:
    • also see $T_3$ space (beware: in some treatments the definitions of these are reversed)
  • Completely Regular Space, also known as a Tychonoff Space:
    • also see $T_{3 \frac 1 2}$ space (beware: in some treatments the definitions of these are reversed)

• Number Theory:
  • Regular Continued Fraction: an ambiguous term

• Graph Theory:
  • Regular Graph

• Formal Systems:
  • Regular Expression

Also see

• Definition:Singular
• Definition:Canonical

Linguistic Note

The mathematical meaning of regular evolves from its natural language usage to mean obeying rules, uniform, occurring at equal time intervals or according to a common pattern, and therefore predictable.

Its linguistic origin is from the Latin rēgulāris, meaning guided by a rule or rules.

This ultimately originates from Proto-Indo-European reg-, meaning to move in a straight line.