Domain may refer to:

Mathematics

* Domain of a function, 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 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, 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, 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, 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, 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, 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, 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, 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), a taxonomic subdivision larger than a kingdom * High-field domain (physics) in semiconductors, also called Böer domain * Protein domain (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 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, 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 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 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 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 countries, the name for parkland made available for public use by the monarch or their representative, the Governor. Examples include: * The Domain, Sydney: 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 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 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 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, 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, the right of a government to appropriate another person's property for public use * Public domain, 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