# Regular

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> Source: https://en.wikipedia.org/wiki/Regular
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{{Wiktionary|regular|regularity}}
'''Regular''' and '''regularity''' may refer to:
{{TOC right|limit=2}}

== Arts, entertainment, and media==
===Music===
* ["Regular" (Badfinger song)](/source/Regular_(Badfinger_song))
* [Regular tuning](/source/Regular_tuning)s of stringed instruments, tunings with equal intervals between the paired notes of successive open strings

===Other uses===
* [Regular character](/source/Regular_character), a main character who appears more frequently and/or prominently than a recurring character
* [Regular division of the plane](/source/Regular_division_of_the_plane), a series of drawings by the Dutch artist M. C. Escher which began in 1936

== Language ==
* [Regular inflection](/source/Regular_inflection), the formation of derived forms such as plurals in ways that are typical for the language
** [Regular verb](/source/Regular_verb)
* [Regular script](/source/Regular_script), the newest of the Chinese script styles

== Mathematics ==
=== Algebra and number theory ===
* [Regular category](/source/Regular_category), a kind of category that has similarities to both Abelian categories and to the category of sets
* [Regular chain](/source/Regular_chain)s in computer algebra
* [Regular element (disambiguation)](/source/Regular_element_(disambiguation)), certain kinds of elements of an algebraic structure
* [Regular extension](/source/Regular_extension) of fields
* [Regular ideal](/source/Regular_ideal) (multiple definitions)
* [Regular Lie group](/source/Regular_Lie_group)
* [Regular matrix (disambiguation)](/source/Regular_matrix_(disambiguation))
* [Regular monomorphism](/source/Regular_monomorphism)s and [regular epimorphism](/source/regular_epimorphism)s, monomorphisms (resp. epimorphisms) which equalize (resp. coequalize) some parallel pair of morphisms
* [Regular number](/source/Regular_number)s, numbers which evenly divide a power of 60
* [Regular p-group](/source/Regular_p-group), a concept capturing some of the more important properties of abelian ''p''-groups, but general enough to include most "small" ''p''-groups
* [Regular prime](/source/Regular_prime), a prime number ''p'' > 2 that does not divide the class number of the ''p''-th cyclotomic field
* The [regular representation](/source/regular_representation) of a group G, the linear representation afforded by the group action of G on itself
* [Regular ring](/source/Regular_ring), a ring such that all its localizations have Krull dimension equal to the minimal number of generators of the maximal ideal
** [von Neumann regular ring](/source/von_Neumann_regular_ring), or absolutely flat ring (unrelated to the previous sense)
* [Regular semi-algebraic system](/source/Regular_semi-algebraic_system)s in computer algebra
* [Regular semigroup](/source/Regular_semigroup), related to the previous sense
* [*-regular semigroup](/source/Semigroup_with_involution)

=== Analysis ===
* [Borel regular measure](/source/Borel_regular_measure)
* Cauchy-regular function (or [Cauchy-continuous function](/source/Cauchy-continuous_function),) a continuous function between metric spaces which preserves Cauchy sequences
* [Regular function](/source/Regular_function)s, functions that are analytic and single-valued (unique) in a given region
* [Regular measure](/source/Regular_measure), a measure for which every measurable set is "approximately open" and "approximately closed"
* The [regular part](/source/regular_part), of a Laurent series, the series of terms with positive powers
* [Regular singular point](/source/Regular_singular_point)s, in theory of ordinary differential equations where the growth of solutions is bounded by an algebraic function
* Regularity, the [degree of differentiability](/source/differentiability_class) of a function
* Regularity conditions arise in the study of [first-class constraint](/source/first-class_constraint)s in Hamiltonian mechanics
* [Regularity of an elliptic operator](/source/elliptic_operator)
* [Regularity theory](/source/Regularity_theory) of [elliptic partial differential equation](/source/elliptic_partial_differential_equation)s

=== Combinatorics, discrete math, and mathematical computer science ===
* [Regular algebra](/source/Regular_algebra), or Kleene algebra
* [Regular code](/source/Regular_code), an algebraic code with a uniform distribution of distances between codewords
* [Regular expression](/source/Regular_expression), a type of pattern describing a set of strings in computer science
* [Regular graph](/source/Regular_graph), a graph such that all the degrees of the vertices are equal
** [Szemerédi regularity lemma](/source/Szemer%C3%A9di_regularity_lemma), some random behaviors in large graphs
* [Regular language](/source/Regular_language), a formal language recognizable by a finite state automaton (related to the regular expression)
* [Regular map (graph theory)](/source/Regular_map_(graph_theory)), a symmetric tessellation of a closed surface
* [Regular matroid](/source/Regular_matroid), a matroid which can be represented over any field
* [Regular paperfolding sequence](/source/Regular_paperfolding_sequence), also known as the dragon curve sequence
* [Regular tree grammar](/source/Regular_tree_grammar)

=== Geometry ===
* [Castelnuovo–Mumford regularity](/source/Castelnuovo%E2%80%93Mumford_regularity) of a coherent sheaf
* [Closed regular set](/source/Closed_regular_set)s in solid modeling
* [Irregularity of a surface](/source/Irregularity_of_a_surface) in algebraic geometry
* [Regular curve](/source/Regular_curve)s
* [Regular grid](/source/Regular_grid), a tesselation of Euclidean space by congruent bricks
* [Regular map (algebraic geometry)](/source/Regular_map_(algebraic_geometry)), a map between varieties given by polynomials
* Regular point, a [non-singular point of an algebraic variety](/source/singular_point_of_an_algebraic_variety)
* [Regular point](/source/Regular_point) of a differentiable map, a point at which a map is a submersion
* [Regular polygon](/source/Regular_polygon)s, polygons with all sides and angles equal
** [Regular polyhedron](/source/Regular_polyhedron), a generalization of a regular polygon to higher dimensions
**[Regular polytope](/source/Regular_polytope), a generalization of a regular polygon to higher dimensions
* [Regular skew polyhedron](/source/Regular_skew_polyhedron)

=== Logic, set theory, and foundations ===
* [Axiom of Regularity](/source/Axiom_of_Regularity), also called the Axiom of Foundation, an axiom of set theory asserting the non-existence of certain infinite chains of sets
* [Partition regularity](/source/Partition_regularity)
* [Regular cardinal](/source/Regular_cardinal), a cardinal number that is equal to its cofinality
* [Regular modal logic](/source/Regular_modal_logic)

=== Probability and statistics ===
* [Regular conditional probability](/source/Regular_conditional_probability), a concept that has developed to overcome certain difficulties in formally defining conditional probabilities for continuous probability distributions
* Regular [stochastic matrix](/source/stochastic_matrix), a stochastic matrix such that all the entries of some power of the matrix are positive

=== Topology ===
* [Free regular set](/source/Free_regular_set), a subset of a topological space that is acted upon disjointly under a given group action
* [Regular homotopy](/source/Regular_homotopy)
* [Regular isotopy](/source/Regular_isotopy) in knot theory, the equivalence relation of link diagrams that is generated by using the 2nd and 3rd Reidemeister moves only
* [Regular space](/source/Regular_space) (or <math>T_3</math>) space, a topological space in which a point and a closed set can be separated by neighborhoods

== Military ==
* [Regular army](/source/Regular_army), the official army of a state or country
** [British Regulars](/source/British_Regulars), of the 18th and 19th centuries
** [Regular Army (United States)](/source/Regular_Army_(United_States))
** [Regular Force](/source/Regular_Force), of the Canadian Forces

== Organizations ==
* [Regular Baptists](/source/Regular_Baptists), an 18th-century American and Canadian Baptist group
* [Regular clergy](/source/Regular_clergy),  members of a religious order subject to a rule of life
* [Regular Masonic jurisdictions](/source/Regular_Masonic_jurisdictions), or ''regularity'', refers to the constitutional mechanism by which Freemasonry Grand Lodges or Grand Orients give one another mutual recognition

==People==
* [Moses Regular](/source/Moses_Regular) (born 1971), America football player

== Science and social science ==
* [Regular economy](/source/Regular_economy), an economy characterized by an excess demand function whose slope at any equilibrium price vector is non-zero
* [Regular moon](/source/Regular_moon), a natural satellite that has low eccentricity and a relatively close and prograde orbit
* [Regular solution](/source/Regular_solution)s in chemistry, solutions that diverge from the behavior of an ideal solution only moderately

== Other uses ==
* Regular bowel movements, the opposite of [constipation](/source/constipation)
* Regular [customer](/source/customer), a person who frequently visits the same restaurant, pub, store, transit provider, etc.
* Regular [octane rating](/source/octane_rating) of gasoline, as a differentiation from "premium" and similar variants
* [Regular stance](/source/Regular_stance) (or footedness) in boardsports, a stance in which the left foot leads (as compared to "goofy")
* Regular type, referring to [Roman type](/source/Roman_type), an upright style of typeface or computer font, as compared to italic and blackletter
* [Presumption of regularity](/source/Presumption_of_regularity), a legal principle

==See also==
*{{look from |regular}}
*{{in title|regular}}
* [Irregular (disambiguation)](/source/Irregular_(disambiguation))
* [Regular set (disambiguation)](/source/Regular_set_(disambiguation))
* [Quasiregular](/source/Quasiregular)
{{disambiguation}}

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Adapted from the Wikipedia article [Regular](https://en.wikipedia.org/wiki/Regular) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Regular?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.