Boundary
Boundary or Boundaries may refer to: * Border, in political geography Entertainment * ''Boundaries'' (2016 film), a 2016 Canadian film * ''Boundaries'' (2018 film), a 2018 American-Canadian road trip film *Boundary (cricket), the edge of the playing field, or a scoring shot where the ball is hit to or beyond that point *Boundary (sports), the sidelines of a field Mathematics and physics *Boundary (topology), the closure minus the interior of a subset of a topological space; an edge in the topology of manifolds, as in the case of a 'manifold with boundary' *Boundary (graph theory), the vertices of edges between a subgraph and the rest of a graph *Boundary (chain complex), its abstractization in chain complexes *Boundary value problem, a differential equation together with a set of additional restraints called the boundary conditions * Boundary (thermodynamics), the edge of a thermodynamic system across which heat, mass, or work can flow Psychology and sociology *Personal boundari ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Boundary (topology)
In topology and mathematics in general, the boundary of a subset of a topological space is the set of points in the closure of not belonging to the interior of . An element of the boundary of is called a boundary point of . The term boundary operation refers to finding or taking the boundary of a set. Notations used for boundary of a set include \operatorname(S), \operatorname(S), and \partial S. Some authors (for example Willard, in ''General Topology'') use the term frontier instead of boundary in an attempt to avoid confusion with a different definition used in algebraic topology and the theory of manifolds. Despite widespread acceptance of the meaning of the terms boundary and frontier, they have sometimes been used to refer to other sets. For example, ''Metric Spaces'' by E. T. Copson uses the term boundary to refer to Hausdorff's border, which is defined as the intersection of a set with its boundary. Hausdorff also introduced the term residue, which is defi ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Boundary Value Problem
In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional constraints, called the boundary conditions. A solution to a boundary value problem is a solution to the differential equation which also satisfies the boundary conditions. Boundary value problems arise in several branches of physics as any physical differential equation will have them. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems. A large class of important boundary value problems are the Sturm–Liouville problems. The analysis of these problems involves the eigenfunctions of a differential operator. To be useful in applications, a boundary value problem should be well posed. This means that given the input to the problem there exists a unique solution, which depends continuously on the input. Much theoretical work in the field of partial different ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Boundary (cricket)
In cricket, the boundary is the perimeter of a playing field. It is also the term given to a scoring shot where the ball is hit to, or beyond, that perimeter, which generally earns four or six runs for the batting team. Edge of the field The boundary is the edge of the playing field, or the physical object (often a rope) marking the edge of the field. In low-level matches, a series of plastic cones are sometimes used. Since the early 2000s, the boundaries at professional matches are often a series of padded cushions carrying sponsors' logos strung along a rope. If one of these is accidentally moved during play (such as by a fielder sliding into the rope in an attempt to stop the ball) the boundary is considered to remain at the point where that object first stood. The boundary is at least from the centre of the field in men's international cricket, and at least from the centre of the field in women's international cricket. When the cricket ball is inside the boundary, it ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Border
Borders are usually defined as geographical boundaries, imposed either by features such as oceans and terrain, or by political entities such as governments, sovereign states, federated states, and other subnational entities. Political borders can be established through warfare, colonization, or mutual agreements between the political entities that reside in those areas; the creation of these agreements is called boundary delimitation. Some borders—such as most states' internal administrative borders, or inter-state borders within the Schengen Area—are open and completely unguarded. Most external political borders are partially or fully controlled, and may be crossed legally only at designated border checkpoints; adjacent border zones may also be controlled. Buffer zones may be setup on borders between belligerent entities to lower the risk of escalation. While ''border'' refers to the boundary itself, the area around the border is called the frontier. Histo ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Boundary-work
In science studies, boundary-work comprises instances in which boundaries, demarcations, or other divisions between fields of knowledge are created, advocated, attacked, or reinforced. Such delineations often have high stakes involved for the participants, and carries with it the implication that such boundaries are flexible and socially constructed. Thomas F. Gieryn The original use of the term "boundary-work" for these sorts of issues has been attributed to Thomas F. Gieryn, a sociologist, who initially used it to discuss the problem of demarcation, the philosophical difficulty of coming up with a rigorous delineation between what is "science" and what is "non-science". Gieryn defined boundary-work as the "attribution of selected characteristics to ninstitution of science (i.e., to its practitioners, methods, stock of knowledge, values and work organization) for purposes of constructing a social boundary that distinguishes some intellectual activities as utside that b ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Boundary (chain Complex)
In algebraic topology, a -chain is a formal linear combination of the -cells in a cell complex. In simplicial complexes (respectively, cubical complexes), -chains are combinations of -simplices (respectively, -cubes), but not necessarily connected. Chains are used in homology; the elements of a homology group are equivalence classes of chains. Definition For a simplicial complex X, the group C_n(X) of n-chains of X is given by: C_n(X) = \left\ where \sigma_i are singular n-simplices of X. Note that any element in C_n(X) not necessary to be a connected simplicial complex. Integration on chains Integration is defined on chains by taking the linear combination of integrals over the simplices in the chain with coefficients (which are typically integers). The set of all ''k''-chains forms a group and the sequence of these groups is called a chain complex. Boundary operator on chains The boundary of a chain is the linear combination of boundaries of the simplices in the chain. ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Boundary (thermodynamic)
A thermodynamic system is a body of matter and/or radiation, confined in space by walls, with defined permeabilities, which separate it from its surroundings. The surroundings may include other thermodynamic systems, or physical systems that are not thermodynamic systems. A wall of a thermodynamic system may be purely notional, when it is described as being 'permeable' to all matter, all radiation, and all forces. A state of a thermodynamic system can be fully described in several different ways, by several different sets of thermodynamic state variables. A widely used distinction is between ''isolated'', ''closed'', and ''open'' thermodynamic systems. An isolated thermodynamic system has walls that are non-conductive of heat and perfectly reflective of all radiation, that are rigid and immovable, and that are impermeable to all forms of matter and all forces. (Some writers use the word 'closed' when here the word 'isolated' is being used.) A closed thermodynamic system is ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Boundaries In Landscape History
Boundaries—particularly field boundaries—are among the oldest features in an English rural landscape. Although a boundary itself is an abstract concept, the boundary can often be seen by differences in land use on either side. Longevity of boundaries Boundaries - a real or imagined line that marks the limit of something. Many field boundaries in the central region of England originated with the enclosure of the previous open fields in the 18th or 19th century. In a few instances, current field boundaries (particularly in the West Country) have been shown to have originated in the Bronze Age or Iron Age. With a few exceptions, however, the attempt to establish pre-Saxon boundaries has been "largely fruitless". Areas that were never formally enclosed might yet prove a more fruitful area of research. Hedgerow dating The presence of bluebells in a hedge is often an indicator of an early hedge. It has been proposed that boundary hedges can be dated by hedgerow dating. This involve ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Boundary (real Estate)
A unit of real estate or immovable property is limited by a legal boundary (sometimes also referred to as a property line or a lot line). The boundary (in Latin: ''limes'') may appear as a discontinuation in the terrain: a ditch, a bank, a hedge, a wall, or similar, but essentially, a legal boundary is a conceptual entity, a social construct, adjunct to the likewise abstract entity of property rights. A cadastral map displays how boundaries subdivide land into units of ownership. However, the relations between society, owner, and land in any culture or jurisdiction is conceived of in terms more complex than a tessellation. Therefore, the society concerned has to specify the rules and means by which the boundary concept is materialized and located on the ground. A 'Western' version of the operationalization might be a legally specified procedure, performed by a chartered surveyor, supported by statements from neighbors and pertinent documents, and resulting in official recording i ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Boundary County, ID
Boundary County is the northernmost county of the U.S. state of Idaho. As of the 2020 census, the population was 12,056. The county seat and largest city is Bonners Ferry. Boundary County was created by the Idaho Legislature on January 23, 1915. It is so named because it borders Canada, and is therefore the only county in Idaho with an international border. It is also only one of three counties in the United States that borders two states and a foreign country, the others being Coös County, New Hampshire and Erie County, Pennsylvania. History Boundary County was formed on January 23, 1915, from Bonner County. It was named Boundary County because it lies on the border of Canada, Washington and Montana. Boundary County has seven election precincts: Bonners Ferry, Copeland, Kootenai, Moyie, Naples, North Bonners Ferry, and Valley View. All contain part of Bonners Ferry City except Copeland, Moyie, and Naples precincts. Moyie Springs was incorporated in 1947. Settlement of ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Boundary (company)
Boundary is an Application Performance Management (APM) company based in San Francisco, California. Boundary’s APM solution, also called Boundary, is delivered in a software as a service (SaaS) model. Boundary’s APM software can monitor applications that are running in cloud, on-premises, or hybrid environments. The software displays data as a real-time visual map so that IT managers can see changes to their systems. The application runs on Windows and Linux operating systems. Boundary was acquired by BMC Software in 2015. History Boundary was co-founded by Cliff Moon, previously an engineer for Powerset In mathematics, the power set (or powerset) of a set is the set of all subsets of , including the empty set and itself. In axiomatic set theory (as developed, for example, in the ZFC axioms), the existence of the power set of any set is p .... In 2012, Scale Venture Partners and Lightspeed Venture Partners invested $15 million in the company. CEO Gary Read joined ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Professional Boundaries
Professional boundaries are an important consideration in the relationship between any professional and their client. Nurse-client boundaries Boundaries are an integral part of the nurse-client relationship. They represent invisible structures imposed by legal, ethical, and professional standards of nursing that respect the rights of nurses and clients.Arnold, E., & Underman-Boggs, K. (2011). Interpersonal Relationships: Professional Communication Skills for Nurses (sixth edition). St.Louis, Missouri: Elsevier Saunders These boundaries ensure that the focus of the relationship remains on the client's needs, not only by word but also by law. The College of Nurses of Ontario (CNO) Standards identifies that it is the nurse's responsibility to establish the boundaries and limits of the relationship between the nurse and client.Therapeutic Nurse-Client Relationship, Revised 2006. (1 March 1999). 1 June 2009, Retrieved from http://www.cno.org/Global/docs/prac/41033_Therapeutic.pdf The ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |