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 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 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 extended to a bigger domain. Formal ...

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 con ...

, 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 dom ...

, 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 compute ...

, the study of certain subsets of continuous lattices that provided the first denotational semantics of the lambda calculus * Domain (ring theory), 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 s ...

, a non-trivial commutative ring without zero divisors *** Atomic domain, an integral domain in which every non-zero non-unit is a finite product of irreducible elements *** Bézout domain, an integral domain in which the sum of two principal ideals is again a principal ideal *** Euclidean domain, 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 necessari ...

, 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 princip ...

, an integral domain in which every ideal is principal *** Unique factorization domain, 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 ...

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

, the analysis of mathematical functions with respect to time

Science

* Knowledge domain, 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 Ca ...

, a taxonomic subdivision larger than a kingdom * High-field domain (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 o ...

(biology), a part of a protein that can exist independently of the rest of the protein chain * Magnetic domain (physics), a region within a magnetic material which has uniform magnetization * Social domain, a concept in sociology *

, the collection of entities of interest in logical analysis

Information technology

* Administrative domain * Broadcast domain, in computer networking, a group of special-purpose addresses to receive network announcements * Collision domain * Domain (software engineering), 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, a mechanism used within a Common Language Infrastructure to isolate executed software applications from one another ** Programming domain, a set of programming languages or programming environments that were engineered specifically for a particular domain (software engineering) * Network domain, 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. ...

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

Places

* Domain, Manitoba, 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), a shopping mall in Yau Tong, Kowloon, Hong Kong * Domain Precinct, 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 ...

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 in Victoria * Queens Domain in Hobart

New Zealand Public Domains

As per Public Domains Act 1860 (24 Victoriae 1860 No 32). Examples include: * Auckland Domain: 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 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 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, one of the two major real estate marketing portals in Australia *Domain, or Battlespace, 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 *"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 to which no exclusive intellectual property rights apply. Those rights may have expired, been forfeited, expressly waived, or may be inapplicable. Because those rights have expired, ...

, 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