Barnes

Barnes may refer to:

Places

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Elsewhere

Other uses

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 (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".