Hello (Adele song)

"Hello" is a song by English singer Adele. It was released on 23 October 2015 by XL Recordings as the lead single from her third studio album, 25 (2015). Adele co-wrote the song with her producer, Greg Kurstin. "Hello" is a piano ballad with soul influences, and lyrics that discuss themes of nostalgia and regret. Upon release, the song was well received by music critics, who compared it favourably to Adele's previous work and praised the song's lyrics and Adele's vocals.

"Hello" attained international commercial success reaching number one in almost every country it charted in, including the United Kingdom, where it became her second UK number-one single, following "Someone like You", and has the largest opening week sales in three years. In the United States, "Hello" debuted atop the Billboard Hot 100, becoming Adele's fourth number-one on the chart and breaking several records, including becoming the first song to sell over a million digital copies in a week.

The accompanying music video was directed by Xavier Dolan and co-stars Adele and Tristan Wilds. The music video for the song broke the Vevo Record by achieving over 27.7 million views within a 24-hour span, held previously by Taylor Swift's "Bad Blood" which accumulated 20.1 million views in that timeframe. It also broke the record for shortest time to attain 100 million Vevo views, previously held by Miley Cyrus' "Wrecking Ball", as well as shortest time to reach 1 billion YouTube views (88 days). Adele promoted the song with a live performance on a BBC one-hour special, entitled Adele at the BBC.

Relapse (Eminem album)

Relapse is the sixth studio album by American rapper Eminem. The album was released on May 19, 2009 under Shady Records, Aftermath Entertainment, and Interscope Records. It was his first album of original material since Encore (2004), following a four-year hiatus from recording due to his writer's block and an addiction to prescription sleeping medication. Recording sessions for the album took place during 2005 to 2009 at several recording studios, and Dr. Dre, Mark Batson, and Eminem handled production. Conceptually, Relapse concerns the ending of his drug rehabilitation, rapping after a non-fictional relapse, and the return of his Slim Shady alter-ego.

One of the most anticipated album releases of 2009, Relapse debuted at number one on the US Billboard 200 chart, selling 608,000 copies in its first week. It produced three singles that attained chart success and has been certified double platinum by the Recording Industry Association of America. The album received mixed reviews from most music critics, who were divided in their responses towards Eminem's lyrics. It has sold more than three million copies in the United States and more than ten million copies worldwide.

Hello (Aya Ueto song)

"Hello" is the third single by the Japanese recording artist Aya Ueto. It was released on February 26, 2003, as the third and final single from her first studio album, Ayaueto.

Overview

The single was released in two formats: the limited edition, which includes a bonus DVD featuring the music video for "Hello", and standard CD-only edition. "Hello" was written and produced by T2ya, marking their third consecutive collaboration. CDJournal described the song as a "lyrical and melancholy ballad." Initially, the song "Ambition", which appears on Ueto's first album Ayaueto, was set to be released as the third single. However, "Hello" was chosen by Ueto instead.

In addition to the title track and its instrumental version, the single includes three remixes. "Hello (Symphony Modulation Style)" was used in commercials for the Lotte ice cream Soh, starring Ueto.

Chart performance

"Hello" entered the Oricon Daily Singles chart at number 6 on February 26, 2003, and climbed to number 5 the following day. It peaked at number 10 on the Oricon Weekly Singles chart, with 22,994 copies sold in its first week. The single was in the chart for nine weeks and has sold a total of 40,555 copies.

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

Family (Spanish band)

Family was a cult band from Spain in the 1990s. Although initially unsuccessful, Family gradually acquired a fanbase and is now highly recognised in the Spanish underground pop scene. Their only album, Un Soplo en el Corazón has been praised for its poetic lyrics, inspired music and elegant artwork.

Family - Un Soplo en el Corazón (Tracklist)

1. La Noche Inventada (2:24)

2. Nadadora (2:57)

3. Como un Aviador (3:19)

4. En el Rascacielos (2:32)

5. El Bello Verano (2:19)

6. Portugal (2:10)

7. El Buen Vigía (2:05)

8. Viaje a los Sueños Polares (2:53)

9. Al Otro Lado (2:02)

10. Carlos Baila (2:49)

11. Yo TePerdí una Tarde de Abril (3:01)

12. Dame Estrellas O Limones (2:24)

13. El mapa (2:20)

14. Martín se ha ido para siempre (3:09)

Analog Man (album)

Analog Man is the eleventh (and latest) studio solo album by the American singer-songwriter and multi-instrumentalist Joe Walsh, formerly of the James Gang and lead guitarist for the Eagles. The album was released in mid 2012, on the label Fantasy in the United States and the United Kingdom, It is his first studio solo album to be released since 1992's Songs for a Dying Planet, 20 years prior. The album features 10 new songs, and was co-produced by Jeff Lynne. The album also features contributions from the former Beatles drummer, Ringo Starr, the former Barnstorm members, Kenny Passarelli and Joe Vitale, former James Gang members, Jim Fox and Dale Peters, and also a duet with the infamous rock and roll legend, Little Richard.

The album peaked at No. 12 on the Billboard 200 chart, as well as No. 4 on the top rock albums chart.

Production and recording

After touring with the Eagles and struggling with alcohol and drug addictions for many years, Walsh decided that it was time to record a new album while being supported by his wife, Marjorie Bach (sister of Ringo Starr's wife, Barbara). To pursue making the album, she also gave Walsh Jeff Lynne's contact number. When Walsh was asked about his collaboration with co-producer Jeff Lynne, he said "Jeff and I met socially, and at one point he said, "Why don't you bring your tracks over sometime and we'll have a listen." That led to some comments and ideas that he had. Gradually, we worked on some stuff and checked out some of his stuff too. It ended up that he really helped me finish it up and ended up producing. He really put his stamp on my music and took it in a direction I never would have gone, and I'm really grateful to him."