Connection may refer to:
Mathematics
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Connection (algebraic framework) Geometry of quantum systems (e.g.,
noncommutative geometry and supergeometry) is mainly
phrased in algebraic terms of modules and
algebras. Connections on modules are
generalization of a linear connection on a smooth vector bundle E\to
X written as ...
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Connection (mathematics) In geometry, the notion of a connection makes precise the idea of transporting local geometric objects, such as tangent vectors or tensors in the tangent space, along a curve or family of curves in a ''parallel'' and consistent manner. There are var ...
, a way of specifying a derivative of a geometrical object along a vector field on a manifold
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Connection (affine bundle)
Let be an affine bundle modelled over a vector bundle . A connection (fibred manifold), connection on is called the affine connection if it as a section of the jet bundle of is an affine bundle morphism over . In particular, this is an affin ...
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Connection (composite bundle)
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Connection (fibred manifold)
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Connection (principal bundle)
In mathematics, and especially differential geometry and gauge theory, a connection is a device that defines a notion of parallel transport on the bundle; that is, a way to "connect" or identify fibers over nearby points. A principal ''G''-conne ...
, gives the derivative of a section of a principal bundle
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Connection (vector bundle)
In mathematics, and especially differential geometry and gauge theory, a connection on a fiber bundle is a device that defines a notion of parallel transport on the bundle; that is, a way to "connect" or identify fibers over nearby points. The mo ...
, differentiates a section of a vector bundle along a vector field
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Cartan connection
In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the ...
, achieved by identifying tangent spaces with the tangent space of a certain model Klein geometry
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Ehresmann connection, gives a manner for differentiating sections of a general fibre bundle
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Electrical connection
Components of an electrical circuit are electrically connected if an electric current can run between them through an electrical conductor. An electrical connector is an electromechanical device used to create an electrical connection between ...
, allows the flow of electrons
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Galois connection, a type of correspondence between two partially ordered sets
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Affine connection
In differential geometry, an affine connection is a geometric object on a smooth manifold which ''connects'' nearby tangent spaces, so it permits tangent vector fields to be differentiated as if they were functions on the manifold with values i ...
, a geometric object on a smooth manifold which connects nearby tangent spaces
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Levi-Civita connection, used in differential geometry and general relativity; differentiates a vector field along another vector field
Music
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''Connection'' (The Green Children album), 2013
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''Connection'' (Don Ellis album), 1972
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''Connection'' (Up10tion album), 2021
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''Connection'' (EP), a 2000 split EP by Home Grown and Limbeck
*''Connection'', a 2019 EP by
Seyong
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"Connection" (Elastica song) (1994)
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"Connection" (OneRepublic song) (2018)
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"Connection" (Rolling Stones song) (1967)
*"Connection", a 1976 song by Can from ''
Unlimited Edition''
*"Connection", a song by Avail from ''
Satiate
''Satiate'' is the debut album released by Avail in 1992. ''Satiate'' was originally released on the band's own Catheter-Assembly Records, then re-released on Old Glory Records later that year. In 1994, Lookout! Records
Lookout Records (styliz ...
''
Other uses
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''Connection'' (film), a 2017 Konkani film in Goa
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Connection (dance)
In partner dancing, connection is a term that refers to physical, non-verbal communication between dancers to facilitate synchronized or coordinated dance movements. Some forms of connection involve "lead/follow" in which one dancer (the "lead") ...
, a means of communication between the lead and the follow
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Layover or connection, a transfer from one means of transport to another
See also
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Connected sum
In mathematics, specifically in topology, the operation of connected sum is a geometric modification on manifolds. Its effect is to join two given manifolds together near a chosen point on each. This construction plays a key role in the classifi ...
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Connectedness
In mathematics, connectedness is used to refer to various properties meaning, in some sense, "all one piece". When a mathematical object has such a property, we say it is connected; otherwise it is disconnected. When a disconnected object can be s ...
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''Connecting'' (TV series)
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Connections (disambiguation)
Connections may refer to:
Television
* '' Connections: An Investigation into Organized Crime in Canada'', a documentary television series
* ''Connections'' (British documentary), a documentary television series and book by science historian Jam ...
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Connexion (disambiguation)
Connexion is a variant spelling of connection and may refer to:
Technology and Internet
* Connexion by Boeing, an in-flight online connectivity service
* Connexions (now called OpenStax CNX), a repository of open educational resources started a ...
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Contiguity (disambiguation)
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Database connection A database connection is a facility in computer science that allows client software to talk to database server software, whether on the same machine or not. A connection is required to send commands and receive answers, usually in the form of a r ...
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Link (disambiguation)
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PC Connection
PC Connection, doing business as Connection, is headquartered in Merrimack, New Hampshire. It has more than 2,500 employees and sells more than 300,000 products.
The Connection brand includes Connection Business Solutions, Connection MoreDirect ...
, a Fortune 1000, National Technology Solutions Provider, based in Merrimack, New Hampshire
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Rapport
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Six degrees of separation
Six degrees of separation is the idea that all people are six or fewer social connections away from each other. As a result, a chain of "friend of a friend" statements can be made to connect any two people in a maximum of six steps. It is also k ...
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Telecommunication circuit
A telecommunication circuit is a path in a telecommunications network used to transmit information. Circuits have evolved over time from generally being built on physical connections between individual hardware cables, as in an analog phone swi ...
, the complete path between two terminals
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The Connection (disambiguation)
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Virtual connection
A virtual circuit (VC) is a means of transporting data over a data network, based on packet switching and in which a connection is established within the network between two endpoints. The network, rather than having a fixed data rate reservation ...
, also known as a virtual circuit
{{disambiguation