Domain
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(Redirected from Domain (mathematics))
A domain is a geographic area controlled by a single person or organization. Domain may also refer to:
Law and human geography
[edit]- Demesne, in English common law and other Medieval European contexts, lands directly managed by their holder rather than being delegated to subordinate managers
- Domaine, a large parcel of land under single ownership, which would historically generate income for its owner.
- Eminent domain, the right of a government to appropriate another person's property for public use
- Private domain / Public domain, places defined under Jewish law where it is either permitted or forbidden to move objects on the Sabbath day
- Public domain, creative work to which no exclusive intellectual property rights apply
- Territory (subdivision), a non-sovereign geographic area which has come under the authority of another government
Science
[edit]- Domain (biology), a taxonomic subdivision larger than a kingdom
- Domain of discourse, the collection of entities of interest in logical analysis
- High-field domain (physics) in semiconductors, also called Böer domain
- Knowledge domain, knowledge within a certain discipline, often formalized as a terminology
- Magnetic domain (physics), a region within a magnetic material which has uniform magnetization
- Protein domain (biology), a part of a protein that can exist independently of the rest of the protein chain
- Social domain, a concept in sociology
Mathematics
[edit]- Domain (mathematical analysis), an open connected set
- Domain (ring theory), a non-trivial ring without left or right nonzero zero divisors
- Integral domain, a non-trivial commutative ring without nonzero zero divisors
- Atomic domain, an integral domain in which every nonzero 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, an integral domain in which every nonzero proper ideal factors into a product of prime ideals
- GCD domain, an integral domain in which every two non-zero elements have a greatest common divisor
- Principal ideal domain, 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
- Integral domain, a non-trivial commutative ring without nonzero zero divisors
- 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 of a partial function
- Domain of holomorphy of a function
- Domain of an algebraic structure, the set on which the algebraic structure is defined
- Domain of discourse, the set of entities over which logic variables may range
- Domain theory, the study of certain subsets of continuous lattices that provided the first denotational semantics of the lambda calculus
- Frequency domain, 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, the analysis of mathematical functions with respect to time
Information technology
[edit]- 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 label that identifies a realm of administrative autonomy, authority, or control within the Internet
- Attribute domain, the set of values allowed in an attribute.
Places
[edit]- The Domain (Austin, Texas), a shopping mall in Austin, Texas, United States
- Domain (Hong Kong shopping centre), a shopping mall in Yau Tong, Kowloon, Hong Kong
- Domain, Manitoba, a hamlet in Manitoba, Canada
- Domain Precinct, a part of South Yarra in Melbourne, Victoria, Australia
Australian public domains
[edit]- The Domain, Sydney, a large open space near the central business district of Sydney
- Kings Domain, Melbourne, Victoria
- Queens Domain, Hobart, Tasmania
New Zealand public domains
[edit]- 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
Entertainment
[edit]Film
[edit]- Domain (2009 film), a French film
- Domain (2016 film), an American film
- The Domain (film), a 2019 Portuguese film
Music
[edit]- "Domain", track by John Carpenter from Lost Themes
- "Domain", a song by KSI from the 2020 album Dissimulation
Other uses
[edit]- Domain, or battlespace, a concept in military operations dividing operating environments into defined components
- Domain Group, an Australian real estate marketing portal, owner of the brand domain.com.au and others
See also
[edit]