Knight's Tour
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Knight's Tour
A knight's tour is a sequence of moves of a knight on a chessboard such that the knight visits every square exactly once. If the knight ends on a square that is one knight's move from the beginning square (so that it could tour the board again immediately, following the same path), the tour is closed (or re-entrant); otherwise, it is open. The knight's tour problem is the mathematical problem of finding a knight's tour. Creating a program to find a knight's tour is a common problem given to computer science students. Variations of the knight's tour problem involve chessboards of different sizes than the usual , as well as irregular (non-rectangular) boards. Theory The knight's tour problem is an instance of the more general Hamiltonian path problem in graph theory. The problem of finding a closed knight's tour is similarly an instance of the Hamiltonian cycle problem. Unlike the general Hamiltonian path problem, the knight's tour problem can be solved in linear time. History ...
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Sri Vaishnavism
Sri Vaishnavism, or the Sri Vaishnava Sampradaya, is a denomination within the Vaishnavism tradition of Hinduism. The name refers to goddess Lakshmi (also known as Sri), as well as a prefix that means "sacred, revered", and the god Vishnu, who are together revered in this tradition. The tradition traces its roots to the ancient Vedas and Pancharatra texts, popularised by the Alvars and their canon, the Naalayira Divya Prabandham. The founding of Sri Vaishnavism is traditionally attributed to Nathamuni of the 10th century CE; its central philosopher has been Ramanuja of the 11th century, who developed the ''Vishishtadvaita'' ("qualified non-dualism") Vedanta sub-school of Hindu philosophy. The tradition split into two denominations around the 16th century. The Vadakalai sect vested the Vedas with the greatest authority and follow the doctrine of Sri Vedanta Desika, whereas the Tenkalai sect vested the Naalayira Divya Prabandham with the greatest authority and follow the princi ...
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Veselin Topalov
Veselin Aleksandrov Topalov (pronounced ; bg, Весели́н Александров Топа́лов; born 15 March 1975) is a Bulgarian chess grandmaster and former FIDE World Chess Champion. Topalov became FIDE World Chess Champion by winning the FIDE World Chess Championship 2005. He lost his title in the World Chess Championship 2006 against Vladimir Kramnik. He challenged Viswanathan Anand at the World Chess Championship 2010, losing 6½–5½. He won the 2005 Chess Oscar. He was ranked world number one from April 2006 to January 2007. He regained the top ranking in October 2008 until January 2010. His peak rating was 2816 in July 2015, placing him joint-tenth on the list of highest FIDE-rated players of all time. Topalov has competed at nine Chess Olympiads (1994–2000, 2008–2016), winning board one gold in 2014 and scoring best overall performance in 1994. He also won in Linares, Corus, Dortmund, Stavanger and Pearl Spring tournaments. Topalov is married and ...
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Viswanathan Anand
Viswanathan "Vishy" Anand (born 11 December 1969) is an Indian chess grandmaster and a former five-time World Chess Champion. He became the first grandmaster from India in 1988, and is one of the few players to have surpassed an Elo rating of 2800, a feat he first achieved in 2006. In 2022, he was elected the deputy president of FIDE. Anand defeated Alexei Shirov in a six-game match to win the 2000 FIDE World Chess Championship, a title he held until 2002. He became the undisputed world champion in 2007, and defended his title against Vladimir Kramnik in 2008, Veselin Topalov in 2010, and Boris Gelfand in 2012. In 2013, he lost the title to challenger Magnus Carlsen, and he lost a rematch to Carlsen in 2014 after winning the 2014 Candidates Tournament. In April 2006, Anand became the fourth player in history to pass the 2800 Elo mark on the FIDE rating list, after Kramnik, Topalov, and Garry Kasparov. He occupied the number one position for 21 months, the sixth-longe ...
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World Chess Championship 2010
The World Chess Championship 2010 match pitted the defending world champion, Viswanathan Anand, against challenger Veselin Topalov, for the title of World Chess Champion. The match took place in Sofia, Bulgaria from 24 April to 13 May 2010, with a prize fund of million euros (60% to the winner). Anand won the final game to win the match 6½–5½ and retain the title. The match was to be twelve games, with tie-breaks if necessary, the same format and length as the 2006 and 2008 matches. Background Qualifying In early 2006, FIDE announced that the World Chess Championship 2007 for the title of FIDE World Chess Champion would be an eight-player tournament. At the time there were two rival World Champions, 2005 FIDE World Champion Veselin Topalov, and "Classical" World Champion Vladimir Kramnik. The list of the eight players for the tournament included Topalov, but not Kramnik. To unify the two World Champion titles, FIDE later organised a match between Kramnik and Topa ...
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Life A User's Manual
''Life A User's Manual'' (the original title is ''La Vie mode d'emploi'') is Georges Perec's most famous novel, published in 1978, first translated into English by David Bellos in 1987. Its title page describes it as "novels", in the plural, the reasons for which become apparent on reading. Some critics have cited the work as an example of postmodern fiction, but Perec preferred to avoid labels and his only long-term affiliation with any movement was with the Oulipo or ''OUvroir de LIttérature POtentielle''. ''La Vie mode d'emploi'' is a tapestry of interwoven stories and ideas as well as literary and historical allusions, based on the lives of the inhabitants of a fictitious Parisian apartment block, 11 rue Simon-Crubellier (no such street exists, although the quadrangle Perec claims Simon-Crubellier cuts through does exist in Paris XVII arrondissement). It was written according to a complex plan of writing constraints, and is primarily constructed from several elements, each ...
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Georges Perec
Georges Perec (; 7 March 1936 – 3 March 1982) was a French novelist, filmmaker, documentalist, and essayist. He was a member of the Oulipo group. His father died as a soldier early in the Second World War and his mother was killed in the Holocaust. Many of his works deal with absence, loss, and identity, often through word play. Early life Born in a working-class district of Paris, Perec was the only son of Icek Judko and Cyrla (Schulewicz) Peretz, Polish Jews who had emigrated to France in the 1920s. He was a distant relative of the Yiddish writer Isaac Leib Peretz. Perec's father, who enlisted in the French Army during World War II, died in 1940 from untreated gunfire or shrapnel wounds, and his mother was killed in the Holocaust, probably in Auschwitz sometime after 1943. Perec was taken into the care of his paternal aunt and uncle in 1942, and in 1945, he was formally adopted by them. Career Perec started writing reviews and essays for ''La Nouvelle Revue française'' an ...
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Oulipo
Oulipo (, short for french: Ouvroir de littérature potentielle; roughly translated: ''"workshop of potential literature"'', stylized ''OuLiPo'') is a loose gathering of (mainly) French-speaking writers and mathematicians who seek to create works using constrained writing techniques. It was founded in 1960 by Raymond Queneau and François Le Lionnais. Other notable members have included novelists Georges Perec and Italo Calvino, poets Oskar Pastior and Jean Lescure, and poet/mathematician Jacques Roubaud. The group defines the term ''littérature potentielle'' as (rough translation): "the seeking of new structures and patterns which may be used by writers in any way they enjoy". Queneau described Oulipians as "rats who construct the labyrinth from which they plan to escape." Constraints are used as a means of triggering ideas and inspiration, most notably Perec's "story-making machine", which he used in the construction of '' Life: A User's Manual''. As well as established tec ...
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Leonhard Euler
Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in many other branches of mathematics such as analytic number theory, complex analysis, and infinitesimal calculus. He introduced much of modern mathematical terminology and notation, including the notion of a mathematical function. He is also known for his work in mechanics, fluid dynamics, optics, astronomy and music theory. Euler is held to be one of the greatest mathematicians in history and the greatest of the 18th century. A statement attributed to Pierre-Simon Laplace expresses Euler's influence on mathematics: "Read Euler, read Euler, he is the master of us all." Carl Friedrich Gauss remarked: "The study of Euler's works will remain the best school for the different fields of mathematics, and nothing else can replace it." Euler i ...
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Euler Knight Tour Semimagic Square
Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in many other branches of mathematics such as analytic number theory, complex analysis, and infinitesimal calculus. He introduced much of modern mathematical terminology and notation, including the notion of a mathematical function. He is also known for his work in mechanics, fluid dynamics, optics, astronomy and music theory. Euler is held to be one of the greatest mathematicians in history and the greatest of the 18th century. A statement attributed to Pierre-Simon Laplace expresses Euler's influence on mathematics: "Read Euler, read Euler, he is the master of us all." Carl Friedrich Gauss remarked: "The study of Euler's works will remain the best school for the different fields of mathematics, and nothing else can replace it." Euler is ...
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