# Domain

(Redirected from Domain (mathematics))

Domain may refer to:

## Mathematics

• Domain of a function, the set of input values for which the (total) function is defined
• 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 (mathematical analysis), an open connected set
• Domain theory, studying certain kinds of partially ordered sets
• 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, a symmetry group of an object is a part or pattern, as small or irredundant as possible, which determines the whole object based on the symmetry
• Time domain, the analysis of mathematical functions with respect to time

## Information technology

• 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

### 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:

### New Zealand Public Domains

As per Public Domains Act 1860 (24 Victoriae 1860 No 32). Examples include:

## 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