Total order

In mathematics, a linear order, total order, simple order, or (non-strict) ordering is a binary relation on some set X, which is transitive, antisymmetric, and total (this relation is denoted here by infix ≤). A set paired with a total order is called a totally ordered set, a linearly ordered set, a simply ordered set, or a chain.

If X is totally ordered under ≤, then the following statements hold for all a, b and c in X:

Antisymmetry eliminates uncertain cases when both a precedes b and b precedes a. A relation having the property of "totality" means that any pair of elements in the set of the relation are comparable under the relation. This also means that the set can be diagrammed as a line of elements, giving it the name linear.Totality also implies reflexivity, i.e., a ≤ a. Therefore, a total order is also a partial order. The partial order has a weaker form of the third condition. (It requires only reflexivity, not totality.) An extension of a given partial order to a total order is called a linear extension of that partial order.

Chain (unit)

A chain (ch) is a unit of length. It measures 66 feet, or 22 yards, or 100 links, or 4 rods (20.1168 m). There are 10 chains in a furlong, and 80 chains in one statute mile. An acre is the area of 10 square chains (that is, an area of one chain by one furlong). The chain has been used for several centuries in Britain and in some other countries influenced by British practice.

By extension, chainage (running distance) is the distance along a curved or straight survey line from a fixed commencing point, as given by an odometer.

Origin

The chain was commonly used with the mile to indicate land distances and in particular in surveying land for legal and commercial purposes. Starting in the 19th centary, the chain was used as a sub division with the mile to show distances between railway stations, tunnels and bridges. In medieval times, local measures were commonly used, and many units were adopted that gave manageable units; for example the distance from London to York could be quoted in inches, but the resulting huge number would be unmemorable. The locally used units were often inconsistent from place to place.

Chain (Paul Haig album)

Chain was Edinburgh musician Paul Haig's third album and was released in May 1989 on Circa Records, a subsidiary of Virgin Records. Chain, which Haig financed himself, was recorded and completed in 1988, but it sat on the shelf after the normally accommodating Les Disques Du Crepuscule decided not to take up the option of releasing it. The album was co-produced by long-time Haig cohort, Alan Rankine, instrumentalist with celebrated Dundee band, The Associates. There was another Associates connection on the album - the track "Chained" was written by Haig's good friend, Billy Mackenzie. Haig returned the favour and gave Mackenzie the track "Reach The Top" for his album The Glamour Chase, which after many years in limbo was finally released in 2002.

One single, "Something Good", was taken from the album, but much to Circa's disappointment, neither the single nor the album sold in great numbers.

The sleeve features a shot of Audrey Hepburn, taken by the celebrated photographer, Angus McBean in 1958.

Leaving (EP)

Leaving is the sixth extended play (EP) by American electronic dance music producer Skrillex. It was released on January 2, 2013 exclusively to members of The Nest (OWSLA's subscription service). The three tracks were also uploaded to Moore's official YouTube channel the following day. The song "Scary Bolly Dub" had previously been played live and circulated through the Internet for approximately a year before being officially released. A mixed version also features on Caspa Presents Dubstep Sessions 2012. The song samples the 2010 tracks "Scary Monsters and Nice Sprites" and "Fucking Die 1". In a personal message to members of The Nest, Moore said that he uses the track "more as a DJ tool, but I wanted you guys to have it". The title track was created in Moore's hotel room in Mexico. "The Reason" was finished an hour before release in Moore's hotel room in Miami. "The Reason" has received significant attention and airplay in Australia, mostly on youth radio station Triple J.

Leaving (play)

Leaving (Czech - Odcházení) is a 2007 tragicomedic play by Václav Havel.

Although Havel has had an extensive career as a playwright, Leaving was his first play in over twenty years. The play premiered at Archa Theatre in Prague on May 22, 2008. The play is composed of five acts and requires eleven men, six women, and one voice. In 2011, Havel directed a film adaptation of his play.

Productions

Orange Tree