Connection

# Connection

Discussion

Encyclopedia
Connect, connection, connections, connected, or connectivity may refer to:

## Mathematics

• Connection (mathematics)
Connection (mathematics)
In geometry, the notion of a connection makes precise the idea of transporting data along a curve or family of curves in a parallel and consistent manner. There are a variety of kinds of connections in modern geometry, depending on what sort of data one wants to transport...

, a way of specifying a derivative of a geometrical object along a vector field on a manifold
• Levi-Civita connection
Levi-Civita connection
In Riemannian geometry, the Levi-Civita connection is a specific connection on the tangent bundle of a manifold. More specifically, it is the torsion-free metric connection, i.e., the torsion-free connection on the tangent bundle preserving a given Riemannian metric.The fundamental theorem of...

, used in differential geometry and general relativity; differentiates a vector field along another vector field
• Connection (vector bundle)
Connection (vector bundle)
In mathematics, 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. If the fiber bundle is a vector bundle, then the notion of parallel transport is required to be linear...

, differentiates a section of a vector bundle along a vector field
• Connection form
Connection form
In mathematics, and specifically differential geometry, a connection form is a manner of organizing the data of a connection using the language of moving frames and differential forms....

, a manner of specifying a connection using differential forms
• Connection (principal bundle)
Connection (principal bundle)
In mathematics, 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...

, gives the derivative of a section of a principle bundle
• Ehresmann connection
Ehresmann connection
In differential geometry, an Ehresmann connection is a version of the notion of a connection, which makes sense on any smooth fibre bundle...

, gives a manner for differentiating sections of a general fibre bundle
• Cartan connection
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 geometry of the principal bundle is tied to the...

, achieved by identifying tangent spaces with the tangent space of a certain model Klein geometry
• Connectedness
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...

, a property of topological space, graph or category (with different meanings)
• Connected category, a category for which, for every two objects, there is at least one morphism connecting them
• Connected space
Connected space
In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint nonempty open subsets. Connectedness is one of the principal topological properties that is used to distinguish topological spaces...

, a topological space which cannot be written as the disjoint union of two or more nonempty open spaces
• Connectivity (graph theory)
Connectivity (graph theory)
In mathematics and computer science, connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements which need to be removed to disconnect the remaining nodes from each other. It is closely related to the theory of network flow problems...

• Pixel connectivity
Pixel connectivity
In image processing and image recognition, pixel connectivity is the way in which pixels in 2- or 3-dimensional images relate to their neighbors.-4-connected:...

• Connected sum
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...

• Galois connection
Galois connection
In mathematics, especially in order theory, a Galois connection is a particular correspondence between two partially ordered sets . The same notion can also be defined on preordered sets or classes; this article presents the common case of posets. Galois connections generalize the correspondence...

, a type of correspondence between two partially ordered sets
• Connection (algebraic framework)
Connection (algebraic framework)
Geometry of quantum systems is mainlyphrased in algebraic terms of modules andalgebras. Connections on modules aregeneralization of a linear connection on a smooth vector bundle E\to...

## Technology

• The effect of a fastener
Fastener
A fastener is a hardware device that mechanically joins or affixes two or more objects together.Fasteners can also be used to close a container such as a bag, a box, or an envelope; or they may involve keeping together the sides of an opening of flexible material, attaching a lid to a container,...

• Electrical connection
Electrical connection
An electrical connection between discrete points allows the flow of electrons . A pair of connections is needed for a circuit.Between points with a low voltage difference, direct current can be controlled by a switch...

, allows the flow of electrons
• Interconnectivity
Interconnectivity
Interconnectivity is a concept that is used in numerous fields such as cybernetics, biology, ecology, network theory, and non-linear dynamics. The concept can be summarized as that all parts of a system interact with and rely on one another simply by the fact that they occupy the same system, and...

, the redundant interaction of many small parts to form a greater whole
• Landscape connectivity
Landscape connectivity
Landscape connectivity is "the degree to which the landscape facilitates or impedes movement among resource patches" It has two components:*Structural connectivity: the spatial structure of a landscape and can be described from map elements...

• Telecommunication circuit
Telecommunication circuit
A telecommunication circuit is any line, conductor, or other conduit by which information is transmitted.A dedicated circuit, private circuit, or leased line is a line that is dedicated to only one use...

, the complete path between two terminals
• Computer network connections:
• Database connection
Database connection
A database connection is a facility in computer science that allows client software to communicate with database server software, whether on the same machine or not. A connection is required to send commands and receive answers....

• Virtual circuit
Virtual circuit
In telecommunications and computer networks, a virtual circuit , synonymous with virtual connection and virtual channel, is a connection oriented communication service that is delivered by means of packet mode communication...

or connection
• Connection-oriented
Connection-oriented
Connection-oriented communication is a data communication mode in telecommunications whereby the devices at the end points use a protocol to establish an end-to-end logical or physical connection before any data may be sent. In case of digital transmission, in-order delivery of a bit stream or...

• Connectionless-mode transmission
Connect is a former British trade union representing approximately 20,000 workers in the communications industry. Connect's President is Denise McGuire The final general secretary was Adrian Askew...

, a union for technology workers in the United Kingdom
• Connect (users group), the worldwide users group for Hewlett-Packard
• Connectivity, a parameter describing the topology of porous media
Porous medium
A porous medium is a material containing pores . The skeletal portion of the material is often called the "matrix" or "frame". The pores are typically filled with a fluid...

• To make a connection, oil drilling lingo: "to add an additional segment of drill pipe"
• Connected, a software product from Iron Mountain Incorporated
Iron Mountain Incorporated
Iron Mountain Inc , founded in 1951, is a company whose headquarters are located in Boston, Massachusetts. It offers records management, information destruction and data backup services to more than 120,000 customers throughout North America, Europe, Latin America and Asia...

for computer data backup and archiving
• connect a function provided by the Berkeley sockets
Berkeley sockets
The Berkeley sockets application programming interface comprises a library for developing applications in the C programming language that perform inter-process communication, most commonly for communications across a computer network....

API
Application programming interface
An application programming interface is a source code based specification intended to be used as an interface by software components to communicate with each other...

• CoNNeCT - The Communications, Navigation, and Networking reConfigurable Test-bed experiment, to be launched aboard an ELC
EXPRESS Logistics Carrier
An ExPRESS logistics carrier is an unpressurized attached payload platform for the International Space Station that provides mechanical mounting surfaces, electrical power, and command and data handling services for Orbital Replacement Units as well as science experiments on the ISS...

and installed in the ISS
International Space Station
The International Space Station is a habitable, artificial satellite in low Earth orbit. The ISS follows the Salyut, Almaz, Cosmos, Skylab, and Mir space stations, as the 11th space station launched, not including the Genesis I and II prototypes...

• Kinect controller for Xbox

## Media

• Connect with Mark Kelley
Connect with Mark Kelley
Connect with Mark Kelley is a Canadian news talk show, which debuted October 26, 2009 on CBC News Network. Hosted by Mark Kelley, the show airs weeknights live from 8 p.m. to 9 p.m. eastern time...

, a Canadian news talk show
• Sportsnet Connected
Sportsnet Connected
Sportsnet Connected is the flagship sports news program on Sportsnet in Canada. Originally known as Sportscentral and later Sportsnetnews, it was re-branded as Sportsnet Connected on January 7, 2008 with an emphasis on more local coverage of sports teams...

, a sports news program that airs in Canada
• Connections (journal)
Connections (journal)
Connections is a military science journal covering security, defense, armed forces, intelligence, history, war, and related issues. It was established in 2002 by the Partnership for Peace Consortium of Defense Academies and Security Studies Institutes and is published four times per year in English...

, a military/defense periodical
• Connections (TV series)
Connections (TV series)
Connections is a ten-episode documentary television series created, written and presented by science historian James Burke. The series was produced and directed by Mick Jackson of the BBC Science & Features Department and first aired in 1978 and 1979...

, James Burke's documentary television series
Connections: An Investigation into Organized Crime in Canada was a two-part television documentary program, created and broadcast by CBC Television in 1977 and 1979. It covered the growth of organized crime in Montreal, Toronto and Vancouver. Each part ran for 90 minutes...

, a documentary on organized crime in Canada
• Connections (game show)
Connections (game show)
Connections is a British television game show. It was produced by Granada Television and aired on the ITV network from 1985 to 1990.-Hosts:...

, a British game show of the 1980s
• Connected (film)
Connected (film)
Connected is a 2008 action-crime thriller film co-written and directed by Benny Chan. A co-production between Hong Kong and China, the film is a remake of the 2004 film Cellular...

, a 2008 Hong Kong remake of the American movie Cellular
• Connected: An Autoblogography About Love, Death & Technology
Connected: An Autoblogography About Love, Death & Technology
Connected: An Autoblogography About Love, Death, & Technology is a documentary film directed by Tiffany Shlain about world interconnection and about her father Leonard Shlain.-Release dates:...

, a 2011 documentary film

## Music

• "Connected" (Ayumi Hamasaki song)
Connected (Ayumi Hamasaki song)
"Connected" was Ayumi Hamasaki's European debut single. It was released in Germany, Spain and Belgium in 2003. It managed to break the German dance charts with only minor promotion, reaching #18 on the Official Dance Charts in Germany and #89 on Official German Single Chart . The single was listed...

• "Connection" (Elastica song)
• Connected (The Foreign Exchange album)
• "Connected" (Hoobastank song)
• "Connected" (RBD song)
• "Connection" (The Rolling Stones song), 1967
• Connected (Stereo MCs album)
• "Connected" (Stereo MCs song)
Connected (Stereo MCs song)
"Connected" was the title track and first single from the Stereo MCs third studio album. It reached #20 on the US Billboard Hot 100 chart and climbed to #18 on the UK Top 75 Chart. The song appeared in the movie Hackers, starring Angelina Jolie and Jonny Lee Miller. Rob Lowe personally chose the...

• "Connection", a song by the band Can with Malcolm Mooney on vocals, which was released several years later after the recording on their album Unlimited Edition
Unlimited Edition (album)
Unlimited Edition is a compilation album by the band Can. Released in 1976 as a double album, it was an expanded version of the 1974 LP Limited Edition on United Artists Records which, as the name suggests, was a limited release of 15,000 copies...

(1976)
• "Connection", a song by Avail from their album Satiate
Satiate
Satiate is the first 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 issued the album on CD with two additional tracks, taken from Avail's 7" release...

• Connect Music Festival
Connect Music Festival
The Connect Music Festival was a music festival that took place in the grounds of Inveraray Castle, located on the banks of Loch Fyne in Argyll, Scotland. It was aimed at more mature music fans and recent headliners included the Beastie Boys, Björk and Franz Ferdinand. The inaugural festival was...

, held in Inveraray, Scotland
• Sony Connect
Sony Connect
The CONNECT Music Store was Sony's music store built within the SonicStage music management application for Microsoft Windows-based personal computers. It was one of the world’s largest online music download stores with over 2.5 million tracks to preview and purchase, with over 10,000 new songs...

, an online music store
• ReConnected
ReConnected
ReConnected are a British boyband, who were finalists in the fourth series of ITV reality talent show Britain's Got Talent in 2010, as part of the boyband 'Connected', won by Spelbound....

, British boyband previously part of Connected
• Myles and Connor
Myles and Connor
Myles Antony Ryan and Connor Jerrade Ryan are a British pop and R&B duo from Manchester, England who are best known for appearing on the fourth series of ITV show Britains Got Talent as part of the boyband 'Connected'....

, British duo previously part of Connected
• Connection (EP)
Connection (EP)
Connection is a split EP by the Orange County, California rock bands Home Grown and Limbeck, released in 2000 by Utility Records. It resulted from a tour the previous year on which the two bands played together and became friends....

## Other uses

Connect is a former British trade union representing approximately 20,000 workers in the communications industry. Connect's President is Denise McGuire The final general secretary was Adrian Askew...

, a British trade union for communications industry workers
Connections Academy in the United States is a company which runs free public school that students attend from home. It combines aspects of homeschooling with those of traditional public education....

, a free public school that students attend from home
• Connection (dance)
Connection (dance)
Connection is essential to all partner dancing and is the primary means to communicate synchronized dance movement between the lead and follow. It is especially important in Argentine Tango, Lindy Hop, Balboa, East Coast Swing, West Coast Swing, Salsa, Contra dance, Modern Jive and other styles of...

, the primary means of communication between the lead and the follow
• Connect (game)
Connect (game)
Connect is a game consisting of square card pieces featuring different coloured tracks. It is based loosely on dominoes. It was designed by graphic designer Ken Garland in 1969 and produced by James Galt & Co Ltd...

• CONNECT (disambiguation)
• Connectionalism
Connectionalism
The term Connexionalism is today most commonly used to describe the theological understanding and foundation of Methodist polity, as practised in the British Methodist Church and the American United Methodist Church...

• Connexion (disambiguation)
• Contiguity
Contiguity
A contiguity is a continuous mass, or a series of things in contact or proximity. In a different meaning, contiguity is the state of being contiguous...

• Kinect
• Musical form
Musical form
The term musical form refers to the overall structure or plan of a piece of music, and it describes the layout of a composition as divided into sections...

• Permeability (spatial and transport planning)
Permeability (spatial and transport planning)
Permeability or connectivity describes the extent to which urban forms permit movement of people or vehicles in different directions. The terms are often used interchangeably, although differentiated definitions also exist...

• Rapport
Rapport
Rapport is a term used to describe, in common terms, the relationship of two or more people who are in sync or on the same wavelength because they feel similar and/or relate well to each other....

• Six degrees of separation
Six degrees of separation
Six degrees of separation refers to the idea that everyone is on average approximately six steps away, by way of introduction, from any other person on Earth, so that a chain of, "a friend of a friend" statements can be made, on average, to connect any two people in six steps or fewer...