Groove

Groove or Grooves may refer to:

Music

The Groove (Sirius XM)

The Groove is the name of Sirius XM Radio's Old School R&B channel, located on channel 50. The service signed on September 25, 2001 as part of XM Satellite Radio's offerings, broadcasting on channel 64. It was one of the three remaining Sirius XM-owned channels (along with Pop2K and The Village) that was not featured on Sirius's lineup until 2011. As part of XM Radio Canada simulcasting the U.S. service (with the exception of Clear Channel's channels) on April 1, 2007, The Groove was added to XM Radio Canada. As of February 9, 2010, it was heard on DirecTV channel 844, but all of Sirius XM programming was dropped in favor of going to Sonic Tap by DMX.

The Groove focuses mostly on classic R&B, Funk and Old School Dance party tracks from the 1970s, 1980s and 1990s. The channel is also commercial-free and features DJs, most of them veterans of the early days of Urban Contemporary radio, where most of its core music came from. For Sirius listeners, some late-1970s music through the 1990s can be found on its sister The Strobe, Soul Town and Heart & Soul channels, which are also heard on XM.

Time Is Running Out (Muse song)

"Time Is Running Out" is a song by the English alternative rock band Muse. It is the third track on their third studio album, Absolution. The song was released as the lead single from the album on 8 September 2003 in the United Kingdom and other countries. It was also the band's first Top 10 hit in the UK, peaking at number eight, besting the number eleven peak of "Plug In Baby".

The single was also later released in the United States on 6 April 2004. It proved to be the band's breakthrough hit on alternative rock radio in the country - hitting number nine on the Billboard Modern Rock Tracks chart.

Music video

The video, directed by John Hillcoat, depicts a number of military officials seated at a round table performing actions simultaneously, moving to the beat of the song, as Muse play the song on the table, with the officials apparently oblivious to Muse's presence. Eventually, the officers begin to start dancing on the table, seeming to go insane. They eventually end up crawling. It is partially based on Dr. Strangelove or: How I Learned to Stop Worrying and Love the Bomb.

Feel (Feel album)

Feel is first album released by a Polish pop rock band Feel. The album has earned Diamond certification in Poland.

Track listing

References

Feel (Kumi Koda song)

"Feel" (stylized as feel) is a smooth R&B song by Japanese singer and songwriter Kumi Koda. For the song, she worked closely with composer Hitoshi Shimono, who had composed the instrumental. The single is Kumi's sixth single in her 12 Singles Collection and charted at #1 on Oricon with 39,110 copies sold within the first week. As with some of the other singles released in the collection, feel was limited to 50,000 copies.

The song also became Koda Kumi's second song to have a chorus completely in English (first being 24, which was also written and composed by Hitoshi Shimono).

The music video for the single tied into the four others in the storyline: Candy feat. Mr. Blistah, you, Lies and Someday/Boys♥Girls.

The love interest in the music video was played by Shugo Oshinari. Shugo Oshinari is best known for his portrayals of Teru Mikami in the Death Note TV series and Takuma Aoi in Battle Royale II: Requiem.

Cover

As with the other 11 singles in this collection, this single cover represents a stylized version of a traditional dress from a culture; this time it draws its inspiration from Spain and the costume of matadors.

Groove (Billy Crawford album)

Groove is the fifth studio album from Philippine Pop and R&B singer Billy Crawford. The album was released on iTunes on May 1st, 2009. It was also made available in physical form in 2009. The new album is a re-working of classic hits from the 1970s to the 1980s.

Track listing

Index set

In mathematics, an index set is a set whose members label (or index) members of another set. For instance, if the elements of a set A may be indexed or labeled by means of a set J, then J is an index set. The indexing consists of a surjective function from J onto A and the indexed collection is typically called an (indexed) family, often written as (A_j)_j∈J.

Examples

An enumeration of a set S gives an index set , where f : J → S is the particular enumeration of S.

Any countably infinite set can be indexed by .

For , the indicator function on r is the function given by

The set of all the functions is an uncountable set indexed by .

Other uses

In computational complexity theory and cryptography, an index set is a set for which there exists an algorithm I that can sample the set efficiently; i.e., on input 1ⁿ, I can efficiently select a poly(n)-bit long element from the set.

See also

References