Domain may refer to:

Mathematics

Domain of a function In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by \operatorname(f) or \operatornamef, where is the function. More precisely, given a function f\colon X\to Y, the domain of is . ...

, the set of input values for which the (total) function is defined **

Domain of definition In mathematics, a partial function from a Set (mathematics), set to a set is a function from a subset of (possibly itself) to . The subset , that is, the Domain of a function, domain of viewed as a function, is called the domain of defini ...

of a partial function **

Natural domain In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by \operatorname(f) or \operatornamef, where is the function. More precisely, given a function f\colon X\to Y, the domain of is . ...

of a partial function **

Domain of holomorphy In mathematics, in the theory of functions of Function of several complex variables, several complex variables, a domain of holomorphy is a domain which is maximal in the sense that there exists a holomorphic function on this domain which cannot be ...

of a function *

Domain (mathematical analysis) In mathematical analysis, a domain or region is a non-empty connected open set in a topological space, in particular any non-empty connected open subset of the real coordinate space or the complex coordinate space . This is a different concept ...

, an open connected set *

Domain of discourse In the formal sciences, the domain of discourse, also called the universe of discourse, universal set, or simply universe, is the set of entities over which certain variables of interest in some formal treatment may range. Overview The domain ...

, the set of entities over which logic variables may range * Domain of an algebraic structure, the set on which the algebraic structure is defined *

Domain theory Domain theory is a branch of mathematics that studies special kinds of partially ordered sets (posets) commonly called domains. Consequently, domain theory can be considered as a branch of order theory. The field has major applications in computer ...

, the study of certain subsets of continuous lattices that provided the first denotational semantics of the lambda calculus *

Domain (ring theory) In algebra, a domain is a nonzero ring in which implies or .Lam (2001), p. 3 (Sometimes such a ring is said to "have the zero-product property".) Equivalently, a domain is a ring in which 0 is the only left zero divisor (or equivalently, the onl ...

, a nontrivial ring without left or right zero divisors **

Integral domain In mathematics, specifically abstract algebra, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero. Integral domains are generalizations of the ring of integers and provide a natural set ...

, a non-trivial commutative ring without zero divisors ***

Atomic domain In mathematics, more specifically ring theory, an atomic domain or factorization domain is an integral domain in which every non-zero non-unit can be written in at least one way as a finite product of irreducible elements. Atomic domains are diff ...

, an integral domain in which every non-zero non-unit is a finite product of irreducible elements ***

Bézout domain In mathematics, a Bézout domain is a form of a Prüfer domain. It is an integral domain in which the sum of two principal ideals is again a principal ideal. This means that for every pair of elements a Bézout identity holds, and that every fini ...

, an integral domain in which the sum of two principal ideals is again a principal ideal ***

Euclidean domain In mathematics, more specifically in ring theory, a Euclidean domain (also called a Euclidean ring) is an integral domain that can be endowed with a Euclidean function which allows a suitable generalization of the Euclidean division of integers. ...

, an integral domain which allows a suitable generalization of the Euclidean algorithm ***

Dedekind domain In abstract algebra, a Dedekind domain or Dedekind ring, named after Richard Dedekind, is an integral domain in which every nonzero proper ideal factors into a product of prime ideals. It can be shown that such a factorization is then necessarily ...

, an integral domain in which every nonzero proper ideal factors into a product of prime ideals ***

GCD domain In mathematics, a GCD domain is an integral domain ''R'' with the property that any two elements have a greatest common divisor (GCD); i.e., there is a unique minimal principal ideal containing the ideal generated by two given elements. Equivalentl ...

, an integral domain in which every two non-zero elements have a greatest common divisor ***

Principal ideal domain In mathematics, a principal ideal domain, or PID, is an integral domain in which every ideal is principal, i.e., can be generated by a single element. More generally, a principal ideal ring is a nonzero commutative ring whose ideals are principal, ...

, an integral domain in which every ideal is principal ***

Unique factorization domain In mathematics, a unique factorization domain (UFD) (also sometimes called a factorial ring following the terminology of Bourbaki) is a ring in which a statement analogous to the fundamental theorem of arithmetic holds. Specifically, a UFD is an ...

, an integral domain in which every non-zero element can be written as a product of irreducible elements in essentially a unique way *

Frequency domain In physics, electronics, control systems engineering, and statistics, the frequency domain refers to the analysis of mathematical functions or signals with respect to frequency, rather than time. Put simply, a time-domain graph shows how a signa ...

, the analysis of mathematical functions with respect to frequency, rather than time *

Fundamental domain Given a topological space and a group acting on it, the images of a single point under the group action form an orbit of the action. A fundamental domain or fundamental region is a subset of the space which contains exactly one point from each o ...

, subset of a space that contains exactly one point from each orbit of the action of a symmetry group *

Time domain Time domain refers to the analysis of mathematical functions, physical signals or time series of economic or environmental data, with respect to time. In the time domain, the signal or function's value is known for all real numbers, for the cas ...

, the analysis of mathematical functions with respect to time

Science

Knowledge domain Knowledge can be defined as awareness of facts or as practical skills, and may also refer to familiarity with objects or situations. Knowledge of facts, also called propositional knowledge, is often defined as true belief that is distinc ...

, knowledge within a certain discipline, often formalized as a terminology *

Domain (biology) In biological taxonomy, a domain ( or ) (Latin: ''regio''), also dominion, superkingdom, realm, or empire, is the highest taxonomic rank of all organisms taken together. It was introduced in the three-domain system of taxonomy devised by Carl Wo ...

, a taxonomic subdivision larger than a kingdom *

High-field domain A high-field domain is a band of elevated field orthogonal to the equi-current lines, and seen in photoconductive and monochromatic light at the band edge as dark band was discovered by Böer,Karl W. Böer, Z. Physik 155, 184 (1959) using the Franz ...

(physics) in semiconductors, also called Böer domain *

Protein domain In molecular biology, a protein domain is a region of a protein's polypeptide chain that is self-stabilizing and that folds independently from the rest. Each domain forms a compact folded three-dimensional structure. Many proteins consist of s ...

(biology), a part of a protein that can exist independently of the rest of the protein chain *

Magnetic domain A magnetic domain is a region within a magnetic material in which the magnetization is in a uniform direction. This means that the individual magnetic moments of the atoms are aligned with one another and they point in the same direction. When c ...

(physics), a region within a magnetic material which has uniform magnetization *

Social domain A social domain refers to communicative contexts which influence and are influenced by the structure of such contexts, whether social, institutional, power-aligned. As defined by Fishman, Cooper and Ma (1971), social domains "are sociolinguistic ...

, a concept in sociology *

, the collection of entities of interest in logical analysis

Information technology

Administrative domain An administrative domain is a service provider holding a security repository permitting to easily authenticate and authorize clients with credentials. This particularly applies to computer network security. This concept is captured by the 'AdminD ...

Broadcast domain A broadcast domain is a logical division of a computer network, in which all nodes can reach each other by broadcast at the data link layer. A broadcast domain can be within the same LAN segment or it can be bridged to other LAN segments. In t ...

, in computer networking, a group of special-purpose addresses to receive network announcements *

Collision domain In physics, a collision is any event in which two or more bodies exert forces on each other in a relatively short time. Although the most common use of the word ''collision'' refers to incidents in which two or more objects collide with great f ...

Domain (software engineering) A domain is the targeted subject area of a computer program. It is a term used in software engineering. Formally it represents the target subject of a specific programming project, whether narrowly or broadly defined. For example, a particular pro ...

, a field of study that defines a set of common requirements, terminology, and functionality for any software program constructed to solve a problem in a given field **

Application domain An application domain is a mechanism (similar to a process in an operating system) used within the Common Language Infrastructure (CLI) to isolate executed software applications from one another so that they do not affect each other. Each applicati ...

, a mechanism used within a Common Language Infrastructure to isolate executed software applications from one another **

Programming domain The term programming domain is mostly used when referring to domain-specific programming languages. It refers to a set of programming languages or programming environments that were written specifically for a particular domain, where ''domain'' m ...

, a set of programming languages or programming environments that were engineered specifically for a particular domain (software engineering) *

Network domain A network domain is an administrative grouping of multiple private computer networks or local hosts within the same infrastructure. Domains can be identified using a domain name; domains which need to be accessible from the public Internet can be ...

, a named grouping of hosts and servers with managed login, access to resources, and permissions. **

Domain name A domain name is a string that identifies a realm of administrative autonomy, authority or control within the Internet. Domain names are often used to identify services provided through the Internet, such as websites, email services and more. As ...

, a label that identifies a realm of administrative autonomy, authority, or control within the Internet

Places

Domain, Manitoba Domain, Manitoba is an unincorporated community in southern Manitoba. It is located approximately twenty miles south of Winnipeg Winnipeg () is the capital and largest city of the province of Manitoba in Canada. It is centred on the conf ...

, a hamlet in Manitoba, Canada *

The Domain (Austin, Texas) The Domain is a high-density office, retail, and residential center in northwest Austin, Texas, United States. The initial phase of the project was completed in March 2007. It is owned and operated by Endeavor Real Estate Group, Cousins Propertie ...

, a shopping mall in Austin, Texas, United States *

Domain (Hong Kong shopping centre) Domain () is a shopping centre located next to Yau Tong station in Yau Tong, Kwun Tong District, Kowloon, Hong Kong. The shopping centre is serving about 80,000 people in Yau Tong Estate, Yau Lai Estate, Yau Chui Court, Yau Mei Court and L ...

, a shopping mall in Yau Tong, Kowloon, Hong Kong *

Domain Precinct South Yarra is an inner-city suburb in Melbourne, Victoria, Australia, 4 km south-east of Melbourne's Melbourne central business district, Central Business District, located within the Cities of City of Melbourne, Melbourne and City of Sto ...

, a part of South Yarra in Melbourne, Victoria, Australia

Australian Public Domains

In several

Commonwealth of Nations The Commonwealth of Nations, simply referred to as the Commonwealth, is a political association of 56 member states, the vast majority of which are former territories of the British Empire. The chief institutions of the organisation are the Co ...

countries, the name for parkland made available for public use by the monarch or their representative, the Governor. Examples include: *

The Domain, Sydney The Domain is a heritage-listed area of open space located on the eastern fringe of the Sydney central business district, in the City of Sydney local government area of New South Wales, Australia. Separating the central business district from ...

: a large open space near the central business district of Sydney *

Kings Domain, Melbourne Kings Domain is an area of parklands in Melbourne, Victoria, Australia. It surrounds Government House Reserve, the home of the governors of Victoria, the Sidney Myer Music Bowl, and the Shrine Reserve incorporating the Shrine of Remembrance. Th ...

in Victoria *

Queens Domain The Queens Domain, also known as The Domain to locals, is a small hilly area of bushland just north-east of the CBD of Hobart, Tasmania, Australia, alongside the Derwent River, Tasmania, Derwent River. It is traditionally land that "belongs to ...

in Hobart

New Zealand Public Domains

As per Public Domains Act 1860 (24 Victoriae 1860 No 32). Examples include: *

Auckland Domain The Auckland Domain, also known as Pukekawa / Auckland Domain, is a large park in Auckland, New Zealand. It is the oldest park in the city, and at is one of the largest. Located in the central suburb of Grafton, the park land is the remains o ...

: a large inner-city park in Auckland * One Tree Hill Domain in Auckland * Mount Eden Domain in Auckland * Mount Smart Domain in Auckland * Mangere Domain in Mangere * Hamilton Lake Domain in Hamilton * Taumarunui Domain in Taumarunui *

Ashburton Domain Ashburton Domain is a park in the centre of Ashburton, Mid Canterbury, New Zealand. Covering 37 hectares, it includes gardens, a lake, a cricket ground and other sporting facilities. Cricket has been played on the ground since the 1870s. The fir ...

in Canterbury * Ocean Beach Domain in Dunedin

Film

* ''Domain'' (2009 film), a French film * ''Domain'' (2016 film), an American film * ''The Domain'' (film), a 2019 Portuguese film

Other uses

Territory (subdivision) A territory is an area of land, sea, or space, particularly belonging or connected to a country, person, or animal. In international politics, a territory is usually either the total area from which a state may extract power resources or an ...

, a non-sovereign geographic area which has come under the authority of another government *

Demesne A demesne ( ) or domain was all the land retained and managed by a lord of the manor under the feudal system for his own use, occupation, or support. This distinguished it from land sub-enfeoffed by him to others as sub-tenants. The concept or ...

, in English common law and other Medieval European contexts, lands directly managed by their holder rather than being delegated to subordinate managers *

Domain Group Domain Group (or simply Domain) is an Australian digital property portal and associated real-estate industry business. The company was founded by Fairfax Media, when the publisher branded their real-estate sections in print with the Domain brand ...

, one of the two major real estate marketing portals in Australia *Domain, or

Battlespace Battlespace or battle-space is a term used to signify a unified military strategy to integrate and combine armed forces for the military theatre of operations, including air, information, land, sea, cyber and outer space to achieve military ...

, a concept in military operations dividing operating environments into defined components: air, land, maritime, space, cyberspace, information, and electromagnetic spectrum *"Domain", track by John Carpenter from

Lost Themes ''Lost Themes'' is the debut studio album by American film director and composer John Carpenter. It was released on February 3, 2015, through Sacred Bones Records. Carpenter created ''Lost Themes'' in collaboration with his son Cody Carpenter and ...

*"Domain", a song by KSI from the 2020 album ''Dissimulation'' *

Eminent domain Eminent domain (United States, Philippines), land acquisition (India, Malaysia, Singapore), compulsory purchase/acquisition (Australia, New Zealand, Ireland, United Kingdom), resumption (Hong Kong, Uganda), resumption/compulsory acquisition (Austr ...

, the right of a government to appropriate another person's property for public use *

Public domain The public domain (PD) consists of all the creative work A creative work is a manifestation of creative effort including fine artwork (sculpture, paintings, drawing, sketching, performance art), dance, writing (literature), filmmaking, ...

, creative work to which no exclusive intellectual property rights apply * Private domain / Public domain, places defined under Jewish law where it is either permitted or forbidden to move objects on the Sabbath day {{Disambiguation, geo