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Connection
Connection may refer to: Mathematics *Connection (algebraic framework) *Connection (mathematics), 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), 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, 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, used in differential geometry and general relativity; differentiates ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Connection (TV Series)
''Connection'' () is a 2024 South Korean psychological crime police procedural thriller television series written by Lee Hyun, co-directed by Kim Moon-gyo and Kwon Da-som, and starring Ji Sung, Jeon Mi-do, Kwon Yul, and Kim Kyung-nam. It aired on SBS TV from May 24, to July 6, 2024, every Friday and Saturday at 22:00 ( KST). It is also available for streaming on Wavve and Coupang Play in South Korea, on Vidio in Indonesia, and on Kocowa and Viki in selected regions. Synopsis It is about the story of an ace detective from the narcotics team who, after being forcibly addicted to drugs by someone, uses the death of his friend as a clue to uncover the story of their 20-year-old altered friendship and the connection between them. Cast and characters Main * Ji Sung as Jang Jae-gyeong ** as young Jang Jae-gyeong : A detective of Narcotics Team at Anhyeon Police Station, who is respected by his juniors and trusted by his seniors within the police force. * Jeon Mi-do a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Connection (Elastica Song)
"Connection" is a song by Britpop group Elastica. It was originally released on 10 October 1994 as a single and included on their Elastica (album), self-titled debut album in 1995. The song debuted and peaked at number 17 on the UK Singles Chart and became one of the few Britpop songs to gain popularity in North America, reaching number 53 on the US Billboard Hot 100, ''Billboard'' Hot 100, number two on the ''Billboard'' Alternative Songs, Modern Rock Tracks chart, and number nine on the Canadian ''RPM (magazine), RPM'' 100 Hit Tracks chart. In an interview with Zane Lowe, Damon Albarn mentions playing the synthesizer intro on a Yamaha QY10 handheld sequencer. The song was the subject of controversy due to its overt similarity to another band's work. The intro synthesizer part (later repeated as a guitar figure) is lifted from the guitar riff in Wire (band), Wire's "Pink Flag, Three Girl Rhumba" and transposed down a semitone. A judgment resulted in an out-of-court settlement an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Connection (OneRepublic Song)
"Connection" is a song by American pop rock band OneRepublic. The song was released as a single via digital download on June 26, 2018. It was written by band members Ryan Tedder, Brent Kutzle, as well as Zach Skelton, Noel Zancanella and Jacob Kasher. Commercial performance "Connection" sold 32,000 digital copies in its first week and debuted on the ''Billboard'' Digital Songs Sales chart at number 23. The song was also streamed for over 10.8 million times and peaked at number twenty-one on the ''Billboard'' Bubbling Under Hot 100 chart. Music video The official music video for the song was released on August 28, 2018, through Vevo. As of October 1, 2022, the video has achieved over 24 million views. The video's setting is within the Oculus New York's World Trade Center station, with lead singer Ryan Tedder wandering around looking for a 'connection' to end his loneliness. Various extras dressed in business attire are shown staring at the palms of their hands (like a phone s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 consistent manner. There are various kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for parallel transport of tangent space, tangent vectors on a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields, measuring the deviation of a vector field from being parallel in a given direction. Connections are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Connection (Onew EP)
''Connection'' is the fourth Korean-language and fifth overall extended play (EP) by South Korean singer Onew. It was released on January 6, 2025, by Griffin Entertainment. The EP was preceded by the first single, "Yay", on December 12, and supported by the lead single, "Winner", released simultaneously with the EP. Background and release In September 2024, Onew released '' Flow'', his first project since departing SM Entertainment in early 2024. Following its release, he held a series of concerts in South Korea and Japan that October and November. News of a followup to ''Flow'' first came three months after its release, when a single, "Yay", was announced on December 9. The announcement stated that the song was to be a pre-release single for an upcoming EP to be released in January 2025, but no specific date or title were given. "Yay", along with its accompanying music video, were released on December 12. On December 14, Onew held a fan meeting entitled O! New Day at KBS Arena, w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ehresmann Connection
In differential geometry, an Ehresmann connection (after the French mathematician Charles Ehresmann who first formalized this concept) is a version of the notion of a connection, which makes sense on any smooth fiber bundle. In particular, it does not rely on the possible vector bundle structure of the underlying fiber bundle, but nevertheless, linear connections may be viewed as a special case. Another important special case of Ehresmann connections are principal connections on principal bundles, which are required to be equivariant in the principal Lie group action. Introduction A covariant derivative in differential geometry is a linear differential operator which takes the directional derivative of a section of a vector bundle in a covariant manner. It also allows one to formulate a notion of a parallel section of a bundle in the direction of a vector: a section ''s'' is parallel along a vector X if \nabla_X s = 0. So a covariant derivative provides at least two things: ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Connection (fibred Manifold)
In differential geometry, a fibered manifold is surjective submersion of smooth manifolds . Locally trivial fibered manifolds are fiber bundles. Therefore, a notion of connection on fibered manifolds provides a general framework of a connection on fiber bundles. Formal definition Let be a fibered manifold. A generalized ''connection'' on is a section , where is the jet manifold of . Connection as a horizontal splitting With the above manifold there is the following canonical short exact sequence of vector bundles over : where and are the tangent bundles of , respectively, is the vertical tangent bundle of , and is the pullback bundle of onto . A connection on a fibered manifold is defined as a linear bundle morphism over which splits the exact sequence . A connection always exists. Sometimes, this connection is called the Ehresmann connection because it yields the horizontal distribution : \mathrmY=\Gamma\left(Y\times_X \mathrmX \right) \subset \ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 in a fixed vector space. Connections are among the simplest methods of defining differentiation of the sections of vector bundles. The notion of an affine connection has its roots in 19th-century geometry and tensor calculus, but was not fully developed until the early 1920s, by Élie Cartan (as part of his general theory of connections) and Hermann Weyl (who used the notion as a part of his foundations for general relativity). The terminology is due to Cartan and has its origins in the identification of tangent spaces in Euclidean space by translation: the idea is that a choice of affine connection makes a manifold look infinitesimally like Euclidean space not just smoothly, but as an affine space. On any manifold of positive dimension ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Connection (Don Ellis Album)
''Connection'' is an album by trumpeter/bandleader Don Ellis recorded in 1972 and released on the Columbia label. The album features big band arrangements of pop hits of the day along with Ellis' "Theme from The French Connection", which won him a Grammy Award for Best Instrumental Arrangement in 1973. Reception Thom Jurek of Allmusic said, "Ellis devotees will no doubt delight in ''Connection'' because of its abundance of sass, humor, and imagination, while jazz purists will shake their heads in disgust and others will greet the album with mix of curious bewilderment, a good-natured (hopefully) chuckle, and a perverse kind of glee". On All About Jazz, Jim Santella observed, "the unique character of Ellis' earlier work is missing on this recently reissued recording from 1972. He and the bandmembers solo less often, preferring instead to let the music flow with popular melodies. Vocals are added to several selections. Electric guitar and electric bass take center stage much o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Connection (Rolling Stones Song)
"Connection" is a song by the English rock band the Rolling Stones, featured on their 1967 album ''Between the Buttons''. It was written by Mick Jagger and Keith Richards (but mostly Richards), features vocals by both and is said to be about the long hours the band spent in airports. The lyrics contain much rhyming based on the word ''connection''. The lyrics also reflect the pressures the band was under by 1967: The song was written before Jagger, Richards and fellow Rolling Stone Brian Jones were arrested by the police for drugs. Although never released as a single, it has been a popular live song. The song itself is built on a very simple chord progression, a repetitive drum pattern, Chuck Berry-like lead guitar from Richards, the piano of Jack Nitzsche, tambourine and organ pedals by multi-instrumentalist Jones, and bass by Wyman. Jagger, Jones and Wyman later overdubbed handclaps. Jagger said in 1967, "That's me beating my hands on the bass drum." Personnel According to a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 (vector bundle), connection on a smooth vector bundle E\to X written as a Koszul connection on the C^\infty(X)-module of sections of E\to X. Commutative algebra Let A be a commutative ring (mathematics), ring and M an ''A''-module (mathematics), module. There are different equivalent definitions of a connection on M. First definition If k \to A is a ring homomorphism, a k-linear connection is a k-linear morphism : \nabla: M \to \Omega^1_ \otimes_A M which satisfies the identity : \nabla(am) = da \otimes m + a \nabla m A connection extends, for all p \geq 0 to a unique map : \nabla: \Omega^p_ \otimes_A M \to \Omega^_ \otimes_A M satisfying \nabla(\omega \otimes f) = d\omega \otimes f + (-1)^p \omega \wedge \nabla f. A connection i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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''-connection on a principal G-bundle P over a smooth manifold ''M'' is a particular type of connection that is compatible with the action of the group ''G''. A principal connection can be viewed as a special case of the notion of an Ehresmann connection, and is sometimes called a principal Ehresmann connection. It gives rise to (Ehresmann) connections on any fiber bundle associated to ''P'' via the associated bundle construction. In particular, on any associated vector bundle the principal connection induces a covariant derivative, an operator that can differentiate sections of that bundle along tangent directions in the base manifold. Principal connections generalize to arbitrary principal bundles the concept of a linear connection on the fra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
