Domain Of A Function, Domain
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Domain Of A Function, 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 *Algebraic structure, 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 ***Eu ...
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Domain Of A Function
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 . Note that in modern mathematical language, the domain is part of the definition of a function rather than a property of it. In the special case that and are both subsets of \R, the function can be graphed in the Cartesian coordinate system. In this case, the domain is represented on the -axis of the graph, as the projection of the graph of the function onto the -axis. For a function f\colon X\to Y, the set is called the codomain, and the set of values attained by the function (which is a subset of ) is called its range or image. Any function can be restricted to a subset of its domain. The restriction of f \colon X \to Y to A, where A\subseteq X, is written as \left. f \_A \colon A \to Y. Natural domain If a real function is giv ...
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Frequency Domain
In physics, electronics, control systems engineering, and statistics, the frequency domain refers to the analysis of mathematical functions or signals with respect to frequency, rather than time. Put simply, a time-domain graph shows how a signal changes over time, whereas a frequency-domain graph shows how much of the signal lies within each given frequency band over a range of frequencies. A frequency-domain representation can also include information on the phase shift that must be applied to each sinusoid in order to be able to recombine the frequency components to recover the original time signal. A given function or signal can be converted between the time and frequency domains with a pair of mathematical operators called transforms. An example is the Fourier transform, which converts a time function into a complex valued sum or integral of sine waves of different frequencies, with amplitudes and phases, each of which represents a frequency component. The "spectrum" of ...
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Application Domain
An application domain is a mechanism (similar to a process in an operating system) used within the Common Language Infrastructure (CLI) to isolate executed software applications from one another so that they do not affect each other. Each application domain has its own virtual address space which scopes the resources for the application domain using that address space. Creating multiple application domains in the same process is not possible in .NET Core and .NET 5+. Properties A CLI application domain is contained within an operating system process. A process may contain many application domains. Application domains have isolation properties similar to that of operating system processes: * Multiple threads can exist within a single application domain. * An application within a domain can be stopped without affecting the state of another domain in the same process. * A fault or exception in one domain does not affect an application in another domain or crash the entire process th ...
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Domain (software Engineering)
A domain is the targeted subject area of a computer program. It is a term used in software engineering. Formally it represents the target subject of a specific programming project, whether narrowly or broadly defined. For example, a particular programming project might have had as a goal, the creation of a program for a particular hospital, and that hospital would be the domain. Or the project could be expanded in scope to include ''all hospitals'' as their domain. In a computer programming design, you define a domain by delineating a set of common requirements, terminology, and functionality for any software program constructed to solve a problem in the area of computer programming, known as domain engineering. The word domain is also taken as a synonym of ''application domain''. Domain in the realm of software engineering commonly refers to the subject area on which the application is intended to apply. In other words, during application development, the domain is the "sphere of ...
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Collision Domain
In physics, a collision is any event in which two or more bodies exert forces on each other in a relatively short time. Although the most common use of the word ''collision'' refers to incidents in which two or more objects collide with great force, the scientific use of the term implies nothing about the magnitude of the force. Some examples of physical interactions that scientists would consider collisions are the following: * When an insect lands on a plant's leaf, its legs are said to collide with the leaf. * When a cat strides across a lawn, each contact that its paws make with the ground is considered a collision, as well as each brush of its fur against a blade of grass. * When a boxer throws a punch, their fist is said to collide with the opponents body. * When an astronomical object merges with a black hole, they are considered to collide. Some colloquial uses of the word collision are the following: * A traffic collision involves at least one automobile. * A mid-a ...
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Broadcast Domain
A broadcast domain is a logical division of a computer network, in which all nodes can reach each other by broadcast at the data link layer. A broadcast domain can be within the same LAN segment or it can be bridged to other LAN segments. In terms of current popular technologies, any computer connected to the same Ethernet repeater or switch is a member of the same broadcast domain. Further, any computer connected to the same set of interconnected switches/repeaters is a member of the same broadcast domain. Routers and other higher-layer devices form boundaries between broadcast domains. The notion of broadcast domain should be contrasted with that of collision domain, which would be all nodes on the same set of inter-connected repeaters, divided by switches and learning bridges. Collision domains are generally smaller than, and contained within, broadcast domains. While some data-link-layer devices are able to divide the collision domains, broadcast domains are only divided ...
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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 'AdminDomain' class of the GLUE information model.http://www.ogf.org/documents/GFD.147.pdf GLUE Specification v. 2.0 (Open Grid Forum) An administrative domain is mainly used in intranet environments. Implementation It may be implemented as a collection of hosts and routers, and the interconnecting network(s), managed by a single administrative authority. Interoperation between different administrative domains having different security repositories, different security software or different security policies is notoriously difficult. Therefore, administrative domains wishing ad hoc interoperation or full interoperability have to build a federation A federation (also known as a federal state) is a political entity characterized by a ...
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Social Domain
A social domain refers to communicative contexts which influence and are influenced by the structure of such contexts, whether social, institutional, power-aligned. As defined by Fishman, Cooper and Ma (1971), social domains "are sociolinguistic contexts definable for any given society by three significant dimensions: the location, the participants and the topic". Similarly, Bernard Spolsky defines domains as " y defined or definable social or political or religious group or community, ranging from family through a sports team or neighborhood or village or workplace or organization or city or nation state or regional alliance". Social domains are relevant to such fields in the social sciences as anthropology, linguistics, and sociology. Some examples of social domains include the domains of school, family, religion, workplace, and government. Social domains in scholarly research Education and schools Education is an integral social institution which has a major impact on the ...
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Magnetic Domain
A magnetic domain is a region within a magnetic material in which the magnetization is in a uniform direction. This means that the individual magnetic moments of the atoms are aligned with one another and they point in the same direction. When cooled below a temperature called the Curie temperature, the magnetization of a piece of ferromagnetic material spontaneously divides into many small regions called magnetic domains. The magnetization within each domain points in a uniform direction, but the magnetization of different domains may point in different directions. Magnetic domain structure is responsible for the magnetic behavior of ferromagnetic materials like iron, nickel, cobalt and their alloys, and ferrimagnetic materials like ferrite. This includes the formation of permanent magnets and the attraction of ferromagnetic materials to a magnetic field. The regions separating magnetic domains are called domain walls, where the magnetization rotates coherently from the ...
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Protein Domain
In molecular biology, a protein domain is a region of a protein's polypeptide chain that is self-stabilizing and that folds independently from the rest. Each domain forms a compact folded three-dimensional structure. Many proteins consist of several domains, and a domain may appear in a variety of different proteins. Molecular evolution uses domains as building blocks and these may be recombined in different arrangements to create proteins with different functions. In general, domains vary in length from between about 50 amino acids up to 250 amino acids in length. The shortest domains, such as zinc fingers, are stabilized by metal ions or disulfide bridges. Domains often form functional units, such as the calcium-binding EF hand domain of calmodulin. Because they are independently stable, domains can be "swapped" by genetic engineering between one protein and another to make chimeric proteins. Background The concept of the domain was first proposed in 1973 by Wetlaufer aft ...
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High-field Domain
A high-field domain is a band of elevated field orthogonal to the equi-current lines, and seen in photoconductive and monochromatic light at the band edge as dark band was discovered by Böer,Karl W. Böer, Z. Physik 155, 184 (1959) using the Franz–Keldysh effect. Such domains must appear whenever the conductivity decreases stronger than linearly. This can be caused by the field dependence of the carrier density, as observed in copper-doped caused by Frenkel Poole excitation of holes, causing faster electron recombination, known as field quenching.Karl W. Böer and G. A. Dussel Phys. Rev. 154, 291 (1967) These high-field domains, now referred to as Böer domains, or by field dependence of the mobility, caused by excitation of electrons into higher conduction bands with lower mobility as observed in , called the Gunn effect. The high-field domains can be identified by periodical field oscillations between high (the domain) and low values, as shown in Fig. 1.Cantapediera, I.R., et ...
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Domain (biology)
In biological taxonomy, a domain ( or ) (Latin: ''regio''), also dominion, superkingdom, realm, or empire, is the highest taxonomic rank of all organisms taken together. It was introduced in the three-domain system of taxonomy devised by Carl Woese, Otto Kandler and Mark Wheelis in 1990. According to the domain system, the tree of life consists of either three domains such as Archaea, Bacteria, and Eukarya, or two domains consisting of Archaea and Bacteria, with Eukarya included in Archaea. The first two are all prokaryotes, single-celled microorganisms without a membrane-bound nucleus. All organisms that have a cell nucleus and other membrane-bound organelles are included in Eukarya. Non-cellular life is not included in this system. Alternatives to the three-domain system include the earlier two-empire system (with the empires Prokaryota and Eukaryota), and the eocyte hypothesis (with two domains of Bacteria and Archaea, with Eukarya included as a branch of Archaea). Term ...
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