Regular
Encyclopedia
The term regular can mean normal or obeying rules. Regular may refer to:
In organizations:
In mathematics, geometry, and statistics:
In medicine:
In other uses:
In organizations:
- Regular ArmyRegular ArmyThe Regular Army of the United States was and is the successor to the Continental Army as the country's permanent, professional military establishment. Even in modern times the professional core of the United States Army continues to be called the Regular Army...
for military usage - Regular clergyRegular clergyRegular clergy, or just regulars, is applied in the Roman Catholic Church to clerics who follow a "rule" in their life. Strictly, it means those members of religious orders who have made solemn profession. It contrasts with secular clergy.-Terminology and history:The observance of the Rule of St...
, members of a religious order subject to a rule of life - Regular ForceRegular ForceIn the Canadian Forces, a Regular Force unit or person is part of the full-time military, as opposed to being part of the Primary Reserve.Regular Force personnel are employed full-time, and have usually signed long-term contracts committing them to regular service...
for usage in the Canadian Forces - Regular Masonic jurisdictionsRegular Masonic jurisdictionsRegularity is the process by which individual Grand Lodges recognise one another for the purposes of allowing formal interaction at the Grand Lodge level and visitation by members of other jurisdictions.-History:...
, or regularity, refers to the constitutional mechanism by which Freemasonry Grand Lodges or Grand Orients give one another mutual recognition.
In mathematics, geometry, and statistics:
- Regular cardinalRegular cardinalIn set theory, a regular cardinal is a cardinal number that is equal to its own cofinality. So, crudely speaking, a regular cardinal is one which cannot be broken into a smaller collection of smaller parts....
, a cardinal number that is equal to its cofinality - Regular categoryRegular categoryIn category theory, a regular category is a category with finite limits and coequalizers of kernel pairs, satisfying certain exactness conditions. In that way, regular categories recapture many properties of abelian categories, like the existence of images, without requiring additivity...
, a kind of category that has similarities to both Abelian categories and to the category of sets - Regular code, an algebraic code with a uniform distribution of distances between codewords
- Regular element (disambiguation), certain kinds of elements of an algebraic structure
- Regular graphRegular graphIn graph theory, a regular graph is a graph where each vertex has the same number of neighbors; i.e. every vertex has the same degree or valency. A regular directed graph must also satisfy the stronger condition that the indegree and outdegree of each vertex are equal to each other...
, a graph such that all the degrees of the vertices are equal - Regular languageRegular languageIn theoretical computer science and formal language theory, a regular language is a formal language that can be expressed using regular expression....
, a formal languageFormal languageA formal language is a set of words—that is, finite strings of letters, symbols, or tokens that are defined in the language. The set from which these letters are taken is the alphabet over which the language is defined. A formal language is often defined by means of a formal grammar...
recognizable by a finite state automaton - Regular polygonRegular polygonA regular polygon is a polygon that is equiangular and equilateral . Regular polygons may be convex or star.-General properties:...
, a polygon where all angles and all sides are equal - Regular polyhedronRegular polyhedronA regular polyhedron is a polyhedron whose faces are congruent regular polygons which are assembled in the same way around each vertex. A regular polyhedron is highly symmetrical, being all of edge-transitive, vertex-transitive and face-transitive - i.e. it is transitive on its flags...
, a 3-dimensional equivalent to a regular polygon - Regular prime, a certain kind of prime number
- Regular representationRegular representationIn mathematics, and in particular the theory of group representations, the regular representation of a group G is the linear representation afforded by the group action of G on itself by translation....
of a group G, the linear representation afforded by the group action of G on itself - Regular ringRegular ringIn commutative algebra, a regular ring is a commutative noetherian ring, such that the localization at every prime ideal is a regular local ring: that is, every such localization has the property that the minimal number of generators of its maximal ideal is equal to its Krull dimension.Jean-Pierre...
, a ring such that all its localizations have Krull dimension equal to the minimal number of generators of the maximal ideal - Regular singular point in theory of ordinary differential equations where the growth of solutions is bounded by an algebraic function
- Regular spaceRegular spaceIn topology and related fields of mathematics, a topological space X is called a regular space if every non-empty closed subset C of X and a point p not contained in C admit non-overlapping open neighborhoods. Thus p and C...
, a topological space in which a point and a closed set can be separated by neighbourhoods - Regular surfaceIrregularity of a surfaceIn mathematics, the irregularity of a complex surface X is the Hodge number h0,1= dim H1, usually denoted by q . The irregularity of an algebraic surface is sometimes defined to be this Hodge number, and sometimes defined to be the dimension of the Picard variety , which is the same in...
in algebraic geometry - Regularity, the degree of differentiability of a functionFunction (mathematics)In mathematics, a function associates one quantity, the argument of the function, also known as the input, with another quantity, the value of the function, also known as the output. A function assigns exactly one output to each input. The argument and the value may be real numbers, but they can...
- Regularity conditions arise in the study of first class constraintFirst class constraintIn a constrained Hamiltonian system, a dynamical quantity is called a first class constraint if its Poisson bracket with all the other constraints vanishes on the constraint surface .-Poisson brackets:In Hamiltonian mechanics, consider a symplectic manifold M with a smooth Hamiltonian over...
s in Hamiltonian mechanics - Regularity of an elliptic operator
- Axiom of RegularityAxiom of regularityIn mathematics, the axiom of regularity is one of the axioms of Zermelo-Fraenkel set theory and was introduced by...
, also called the Axiom of Foundation, an axiom of set theory asserting the non-existence of certain infinite chains of sets - Castelnuovo–Mumford regularityCastelnuovo–Mumford regularityIn algebraic geometry, the Castelnuovo–Mumford regularity of a coherent sheaf F over projective space Pn is the smallest integer r such that it is r-regular, meaning thatH^i=0 \,...
of a coherent sheaf
In medicine:
- Regular bowel movements, the opposite of constipationConstipationConstipation refers to bowel movements that are infrequent or hard to pass. Constipation is a common cause of painful defecation...
In other uses:
- Regular characterProtagonistA protagonist is the main character of a literary, theatrical, cinematic, or musical narrative, around whom the events of the narrative's plot revolve and with whom the audience is intended to most identify...
, a main character who appears more frequently and/or prominently than a recurring characterRecurring characterA recurring character is a fictional character, usually in a prime time TV series, who appears from time to time during the series' run. Recurring characters often play major roles in an episode, sometimes being the main focus... - Regular expressionRegular expressionIn computing, a regular expression provides a concise and flexible means for "matching" strings of text, such as particular characters, words, or patterns of characters. Abbreviations for "regular expression" include "regex" and "regexp"...
, a type of pattern describing a set of strings in computer science - Regular verbRegular verbA regular verb is any verb whose conjugation follows the typical grammatical inflections of the language to which it belongs. A verb that cannot be conjugated like this is called an irregular verb. All natural languages, to different extents, have a number of irregular verbs...
, a grammatical term for a verb with derived forms that are typical for the language - Regular customerCustomerA customer is usually used to refer to a current or potential buyer or user of the products of an individual or organization, called the supplier, seller, or vendor. This is typically through purchasing or renting goods or services...
, a person who visits the same restaurant, pub, store, or transit provider frequently