Eternal (Doctor Who)

The Eternals are a race of cosmic beings first introduced in the Doctor Who TV adventure Enlightenment. One Eternal who called himself Striker explained to the Doctor that he and his people lived outside of time, in the realm of eternity. They considered the mortal inhabitants of the universe to be "Ephemerals", even the Time Lords of the planet Gallifrey. Striker seemed completely unaware of the existence of the Time Lords before meeting the Doctor.

In the Enlightenment serial, the Doctor eventually realized that although the Eternals were powerful enough to manipulate matter, creating objects out of thin air, and read minds effortlessly through telepathy, they lacked imagination and creativity. Thus, they actually depended on "Ephemerals" to keep them active and prevent them from withering away in boredom, and without them the Eternals had no purpose; on one occasion the Doctor manages to outwit an Eternal attempt to destroy a rival ship by throwing the explosive off the ship, noting that the Eternals couldn't have accomplished that because they lacked the imagination to think of such an action. This dependence was not something they liked admitting to, however, and they made boasts several times of how they could manipulate the reality around them through sheer force of will. Despite this great power, they deferred to the Guardians of Time, specifically the White Guardian and the Black Guardian who offered the Eternals "enlightenment"- complete knowledge of good and evil- if they won a cosmic race. The Eternals captured many Ephemerals to win the race for them, hence accidentally bringing about the attention of the Doctor who immediately saw them as a threat.

Eternal (Branford Marsalis album)

Eternal is an album by saxophonist Branford Marsalis recorded at Tarrytown Music Hall, Tarrytown, New York in October 2003. It peaked at number 9 on the Top Jazz Albums chart.

The Allmusic review by Matt Collar states "Eternal finds saxophonist Branford Marsalis in a contemplative mood performing a mix of original and standard ballads... dedicated in memory to a list of people one can only assume were as influential musically on Marsalis as emotionally. Among them are bassist Malachi Favors, drummer Elvin Jones, saxophonist Steve Lacy, and the one and only Ray Charles. Their spirits are palpable here as Marsalis and his band have clearly documented a handful of quietly beautiful and deeply moving performances".

Track listing

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)