Domain

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 of a partial function
  • Domain of holomorphy of a function
• Domain (mathematical analysis), an open connected set
• Domain of discourse, 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, 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, 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
• 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

Science

• Knowledge domain, 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
• Domain of discourse, 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 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), a shopping mall in Austin, Texas, USA
• Domain (Hong Kong shopping centre), a shopping mall in Yau Tong, Kowloon, Hong Kong

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: 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, 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