Asset (economics)

An 'asset' in economic theory is an output good which can only be partially consumed (like a portable music player) or input as a factor of production (like a cement mixer) which can only be partially used up in production. The necessary quality for an asset is that value remains after the period of analysis so it can be used as a store of value. As such, financial instruments like corporate bonds and common stocks are assets because they store value for the next period. If the good or factor is used up before the next period, there would be nothing upon which to place a value.

As a result of this definition, assets only have positive futures prices. This is analogous to the distinction between consumer durables and non-durables. Durables last more than one year. A classic durable is an automobile. A classic non-durable is an apple, which is eaten and lasts less than one year. Assets are that category of output which economic theory places prices upon. In a simple Walrasian equilibrium model, there is but a single period and all items have prices. In a multi-period equilibrium model, while all items have prices in the current period. Only assets can survive into the next period and thus only assets can store value and as a result, only assets have a price today for delivery tomorrow. Items which depreciate 100% by tomorrow have no price for delivery tomorrow because by tomorrow it ceases to exist.

Asset (intelligence)

In intelligence, assets are persons within organizations or countries that are being spied upon who provide information for an outside spy. They are sometimes referred to as agents, and in law enforcement parlance, as confidential informants, or 'CI' for short.

There are different categories of assets, including people who:

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)