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)_jâ??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)

Emotion (disambiguation)

Emotion, in psychology and common use, refers to the complex reaction of an organism to significant objects or events, with subjective, behavioral, physiological elements.

Emotion or Emotions may also refer to:

Psychology

Publishing

Music

Emotions (Mariah Carey song)

"Emotions" is a song by American singer-songwriter Mariah Carey. It was written and produced by Carey, David Cole and Robert Clivillés of the C+C Music Factory, and recorded for Carey's second album of the same name (1991). It was released as the album's first single on August 13, 1991 by Columbia Records. The disco song has its protagonist going through a variety of emotions, from high to low, up to the point where she declares "you got me feeling emotions". Musically, it was borrowed heavily from 1970s disco, and flaunted Carey's upper range and extensive use of the whistle register.

Background

Carey was sent to work with the C+C Music Factory and they composed the song "You're So Cold", which became the first choice for the album's first single. However, a second session with the production team had them feeling in a lighter mood when "Emotions" was created and finally decided upon as the lead single.

Composition

"Emotions" is a disco song and it is written in the key of C major. Carey usually prefers to transpose the key to Bâ™­ major when performing live (one example of this is on MTV Unplugged). Carey's vocal range spans more than four octaves on the track, from C₃ to E₇. The song tested and challenged Carey's vocal range and is her first song to require the execution of multiple whistle notes. The sheet music of the song has a 8va marking on the last part of the song.