Family Π

Family Π is a group of New Testament manuscripts. Belonging to the Byzantine text-type, it is one of the textual families of this group. The name of the family, "Π" (pronounced in English as "pie"), is drawn from the symbol used for the Codex Petropolitanus. One of the most distinct of the Byzantine sub-groups, it is very old and the third largest. The oldest Byzantine manuscripts belong to this family.

Hermann von Soden designated this group by the symbol "K^a". According to him, its text is not purely Byzantine.

Codices and manuscripts

Soden included the following in this group of codices: Cyprius (K), Petropolitanus (Π), 72, 114, 116, 178, 265, 389, 1008, 1009, 1079, 1154, 1200, 1219, 1346, and 1398. Lake added to this group of manuscripts: 489, 537, 652, 775, 796, 904, 1478, 1500, 1546, 1561, 1781, 1816. Soden also associated Codex Alexandrinus with this group. Wisse lists about 150 witnesses of the family, but the majority of them belong to this family only in some parts of their text. The Peshitta, in the Gospels, represents this family.

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)

Family (Noah Gundersen album)

Family is the self-released third EP by Noah Gundersen. It was recorded by Daniel Mendez (who has previously worked with Lit, Dashboard Confessional, Duran Duran, Heart, and Train) and mastered by Ed Brooks in just under a week in Dallas. It was released on August 6, 2011. The 7-track EP features Noah's sister, Abby Gundersen, who plays violin and sings vocal harmonies on several tracks. Family has been called genre-defying and at times reminiscent of Ryan Adams, Fleet Foxes, Tom Waits, and Neil Young. The EP can be downloaded on Noah Gundersen's Bandcamp page.

Noah felt the title of the EP to be fitting as it "pays homage to the people who have shaped his life." "Family comes in many forms," says Noah. "It lives with us, for better and for worse. It shapes us. That's what this album is about."

The title track, "Family", appears on the television series The Vampire Diaries during the season four episode "Stand By Me", as well as the FX series Sons of Anarchy during season four's "With an X". The song "David" appears near the end of the Sons of Anarchy episode "Burnt and Purged Away".

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."

Vulnicura

Vulnicura is the ninth studio album by Icelandic musician and singer Björk. It was produced by Björk, Arca and The Haxan Cloak, and released on 20 January 2015 by One Little Indian Records. Björk said the album expresses her feelings before and after her breakup with artist Matthew Barney and the healing process.

Vulnicura was originally scheduled for release in March 2015, in conjunction with the Björk: Archives book and an exhibition about Björk's career at the Museum of Modern Art in New York City; following an internet leak, it was released digitally two months early. No singles were released to promote the album. Vulnicura received widespread acclaim from critics, with many considering it one of her most honest and personal albums as well as her best output in a decade.

The companion album Vulnicura Strings (Vulnicura: The Acoustic Version – Strings, Voice and Viola Organista Only) (or simply Vulnicura Strings) was released on CD and digital download on 6 November 2015, and on vinyl 4 December 2015. It features strings-only interpretations of the Vulnicura tracks and utilizes an instrument designed by Leonardo da Vinci called the Viola organista.