Connection To Commutation Relations
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Connection may refer to:


Mathematics

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Connection (algebraic framework) Geometry of Quantum mechanics, quantum systems (e.g., noncommutative geometry and supergeometry) is mainly phrased in algebraic terms of module (mathematics), modules and algebras. Connections on modules are generalization of a linear connection (ve ...
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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 vector, tangent vectors or Tensor, tensors in the tangent space, along a curve or family of curves in a ''parallel'' and consist ...
, a way of specifying a derivative of a geometrical object along a vector field on a manifold * Connection (affine bundle) * Connection (composite bundle) * Connection (fibred manifold) * Connection (principal bundle), gives the derivative of a section of a principal bundle *
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 ...
, differentiates a section of a vector bundle along a vector field * Cartan connection, achieved by identifying tangent spaces with the tangent space of a certain model Klein geometry * Ehresmann connection, gives a manner for differentiating sections of a general fibre bundle * Electrical connection, allows the flow of electrons *
Galois connection In mathematics, especially in order theory, a Galois connection is a particular correspondence (typically) between two partially ordered sets (posets). Galois connections find applications in various mathematical theories. They generalize the fun ...
, a type of correspondence between two partially ordered sets * Affine connection, a geometric object on a smooth manifold which connects nearby tangent spaces *
Levi-Civita connection In Riemannian or pseudo-Riemannian geometry (in particular the Lorentzian geometry of general relativity), the Levi-Civita connection is the unique affine connection on the tangent bundle of a manifold that preserves the ( pseudo-) Riemannian ...
, used in differential geometry and general relativity; differentiates a vector field along another vector field


Music

* ''Connection'' (The Green Children album), 2013 * ''Connection'' (Don Ellis album), 1972 * ''Connection'' (Up10tion album), 2021 * ''Connection'' (Home Grown and Limbeck EP), a 2000 split EP by Home Grown and Limbeck * ''Connection'' (Onew EP), a 2025 EP by Onew *''Connection'', a 2019 EP by Seyong * "Connection" (Elastica song) (1994) * "Connection" (OneRepublic song) (2018) * "Connection" (Rolling Stones song) (1967) *"Connection", a song by Avail from '' Satiate'' *"Connection", a 1976 song by Can from '' Unlimited Edition'' *"Connection", a song by the Kooks from '' 10 Tracks to Echo in the Dark'' (2022)


Other uses

* ''Connection'' (film), a 2017 Konkani film in Goa * ''Connection'' (TV series), a 2024 South Korean television series * Connection (dance), a means of communication between the lead and the follow * Layover or connection, a transfer from one means of transport to another


See also

* Connected sum *
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 ...
* ''Connecting'' (TV series) * Connections (disambiguation) * Connexion (disambiguation) * Contiguity (disambiguation) *
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 ...
* Disconnection (disambiguation) * Link (disambiguation) * PC Connection, a Fortune 1000, National Technology Solutions Provider, based in Merrimack, New Hampshire * Rapport * Six degrees of separation *
Telecommunication circuit A telecommunication circuit is a path in a telecommunications network used to transmit information. Circuits have evolved from generally being built on physical connections between individual hardware cables, as in an analog phone switch, to v ...
, the complete path between two terminals * The Connection (disambiguation) * Virtual connection, also known as a virtual circuit {{disambiguation