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Domain

From Wikipedia, the free encyclopedia
(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

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  • 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

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Mathematics

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  • 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
  • Domain of a function, the set of input values for which the (total) function is defined
  • 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

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  • 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

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Australian public domains

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New Zealand public domains

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Entertainment

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Film

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Music

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Other uses

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  • 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

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