In partner dancing, connection is a physical communication method used by a pair of dancers to facilitate synchronized dance movement, in which one dancer (the "lead") directs the movements of the other dancer (the "follower") by means of non-verbal directions conveyed through a physical connection between the dancers. It is an essential technique in many types of partner dancing and is used extensively in partner dances that feature significant physical contact between the dancers, including the Argentine Tango, Lindy Hop, Balboa, East Coast Swing, West Coast Swing, Salsa, and Modern Jive.

Other forms of communication, such as visual cues or spoken cues, sometimes aid in connecting with one's partner, but are often used in specific circumstances (e.g., practicing figures, or figures which are purposely danced without physical connection). Connection can be used to transmit power and energy as well as information and signals; some dance forms (and some dancers) primarily emphasize power or signaling, but most are probably a mixture of both.

Generic top-level domains (gTLDs) are one of the categories of top-level domains (TLDs) maintained by the Internet Assigned Numbers Authority (IANA) for use in the Domain Name System of the Internet. A top-level domain is the last label of every fully qualified domain name. They are called generic for historic reasons; initially, they were contrasted with country-specific TLDs in RFC 920.

The core group of generic top-level domains consists of the com, info, net, and org domains. In addition, the domains biz, name, and pro are also considered generic; however, these are designated as restricted, because registrations within them require proof of eligibility within the guidelines set for each.

Historically, the group of generic top-level domains included domains, created in the early development of the domain name system, that are now sponsored by designated agencies or organizations and are restricted to specific types of registrants. Thus, domains edu, gov, int, and mil are now considered sponsored top-level domains, much like the themed top-level domains (e.g., jobs). The entire group of domains that do not have a geographic or country designation (see country-code top-level domain) is still often referred to by the term generic TLDs.

"Dance (Disco Heat)" is the title of a 1978 single by American disco singer Sylvester James, who performed using just his first name, Sylvester. The song became Sylvester's first Top 40 hit in the US, where it peaked at #19 on the Billboard Hot 100 chart in the fall of 1978; it also reached #29 on the UK Singles Chart. The song appears on his 1978 album, Step II.

A 12" single was released in 1978, with "Dance (Disco Heat)" as the A-side and "You Make Me Feel (Mighty Real)" as the B-side, and these two extended dance mixes proved to be very popular in the dance clubs at the time. The two songs held down the top spot on the Billboard Dance/Disco chart for six weeks in August and September of that year and helped to establish Sylvester's career as a noted disco and dance music performer, both in the U.S. and abroad.

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Dance is a surname. Notable people with the surname include:

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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. A principal G-connection on a principal G-bundle P over a smooth manifold M is a particular type of connection which 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 frame bundle of a smooth manifold.

Formal definition

Let π:P→M be a smooth principal G-bundle over a smooth manifold M. Then a principal G-connection on P is a differential 1-form on P with values in the Lie algebra of G which is G-equivariant and reproduces the Lie algebra generators of the fundamental vector fields on P.

Let be an affine bundle modelled over a vector bundle . A 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 the case of an affine connection on the tangent bundle of a smooth manifold .

With respect to affine bundle coordinates on , an affine connection on is given by the tangent-valued connection form

An affine bundle is a fiber bundle with a general affine structure group of affine transformations of its typical fiber of dimension . Therefore, an affine connection is associated to a principal connection. It always exists.

For any affine connection , the corresponding linear derivative of an affine morphism defines a unique linear connection on a vector bundle . With respect to linear bundle coordinates on , this connection reads

Since every vector bundle is an affine bundle, any linear connection on a vector bundle also is an affine connection.

If is a vector bundle, both an affine connection and an associated linear connection are connections on the same vector bundle , and their difference is a basic soldering form on . Thus, every affine connection on a vector bundle is a sum of a linear connection and a basic soldering form on .

"Connection" is a song released by the Britpop group Elastica. It was originally released in 1994 as a single and the album version was not released until 1995 on their self-titled debut.

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's "Three Girl Rhumba" and transposed down a semitone. A judgment resulted in an out-of-court settlement and the credits were rewritten.

The song is the theme to the UK television programme Trigger Happy TV. A live version of the song was featured on the MuchMusic live compilation album, Much at Edgefest '99.

The song was covered by Elastica's label-mates Collapsed Lung and released as a seven-inch vinyl single in 1995.

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