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.
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.
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 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.
Lover is an Australian fashion label launched in 2001 by designers Susien Chong and Nic Briand. The label began as a weekend stall at Bondi Markets with a ten-piece collection of random separates. Since then, Lover has risen to prominence in Australia and internationally.
Lover's collections all draw upon inspirations from the worlds of art, music, film and pop culture. Designer Nic Briand says each collection "has a narrative and central character". Influences on the duo include Jean-Luc Godard, early Woody Allen films, Black Flag, Marianne Faithfull. Nic Briand's influences tend to be "heavier" such as the Wu-Tang Clan, comic books and Jimi Hendrix, whereas Susien Chong's are "softer" elements such as Picnic at Hanging Rock, ballet and Roberta Flack.
Features a palette of cream, pale blue and black with polka-dot motifs and the Lover trademark oversized buttons. Influences:
Black, white, red and midnight blues are used, with oversized buttons and satin. The collection has a masculine edge with pieces such as crisp white shirts, cuffed wide-legged pants and suspenders.
Kesha Rose Sebert (born March 1, 1987) (formerly stylized as Ke$ha) is an American singer, songwriter and rapper. In 2005, at age 18, Kesha was signed to producer Dr. Luke's label Kemosabe Records. Her breakthrough came in early 2009 after appearing on rapper Flo Rida's number-one single, "Right Round". Her debut album, Animal, and her first extended play, Cannibal, were released in 2010. Kesha's music and image propelled her to immediate commercial success, with Animal debuting as the number-one album in the United States. She also achieved two number-one singles, "Tik Tok" and "We R Who We R", and a string of top-ten hits singles from the album and its re-release. At the same time, she continued to write songs for other artists, including "Till the World Ends" for Britney Spears. Warrior, her second studio album, was released in December 2012, spawning Kesha's eighth top-ten single with "Die Young". "Tik Tok" is among the best-selling digital singles in history, selling over 14 million units internationally.
Lover is a lesbian feminist novel by Bertha Harris, published in 1976 by Daughters, Inc., a Vermont small press dedicated to women's fiction. It is considered Harris's most ambitious work, and has been compared to Djuna Barnes's Nightwood and the stories of Jane Bowles. Harris has said that it was written "straight from the libido, while I was madly in love, and liberated by the lesbian cultural movement of the mid-1970s."
Lover's prose is distinctly postmodern, eschewing conventional narrative for experimental narrative techniques. In contrast to some lesbian novels of the time, such as Rita Mae Brown's Rubyfruit Jungle (also, incidentally, published by Daughters), which used a prototypical bildungsroman technique with a lesbian placed squarely at the center, Lover reflects complex notions of radical lesbian philosophy, community, family structure, and eroticism by using highly inventive, often fantastical storytelling techniques. In Harris's introduction to the 1993 edition, she writes, "Lover should be absorbed as if it were a theatrical performance. There's tap dancing and singing, disguise, sleights of hand, mirror illusions, quick-change acts, and drag." Amanda C. Gable has argued that Lover "can be considered an exemplary novel within discussions of both postmodern fiction and lesbian (or queer) theory," and calls for "Harris to be added to the group of writers such as Wittig, Anzaldúa, Lorde, and Winterson, who are discussed within the context of a postmodern lesbian narrative."