Israel Nathan Herstein
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Israel Nathan Herstein
Israel Nathan Herstein (March 28, 1923 – February 9, 1988) was a mathematician, appointed as professor at the University of Chicago in 1951. He worked on a variety of areas of algebra, including ring theory, with over 100 research papers and over a dozen books. Education and career Herstein was born in Lublin, Poland, in 1923. His family emigrated to Canada in 1926, and he grew up in a harsh and underprivileged environment where, according to him, "you either became a gangster or a college professor." During his school years he played football, ice hockey, golf, tennis, and pool. He also worked as a steeplejack and as a barker at a fair. He received his B.S. degree from the University of Manitoba and his M.A. from the University of Toronto. He received his Ph.D from Indiana University in 1948. His advisor was Max Zorn. He held positions at the University of Kansas, Ohio State University, University of Pennsylvania, and Cornell University before permanently settling at the Uni ...
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Israel Herstein
Israel Nathan Herstein (March 28, 1923 – February 9, 1988) was a mathematician, appointed as professor at the University of Chicago in 1951. He worked on a variety of areas of algebra, including ring theory, with over 100 research papers and over a dozen books. Education and career Herstein was born in Lublin, Poland, in 1923. His family emigrated to Canada in 1926, and he grew up in a harsh and underprivileged environment where, according to him, "you either became a gangster or a college professor." During his school years he played football, ice hockey, golf, tennis, and pool. He also worked as a steeplejack and as a barker at a fair. He received his B.S. degree from the University of Manitoba and his M.A. from the University of Toronto. He received his Ph.D from Indiana University in 1948. His advisor was Max Zorn. He held positions at the University of Kansas, Ohio State University, University of Pennsylvania, and Cornell University before permanently settling at the Uni ...
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Abstract Algebra
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras over a field. The term ''abstract algebra'' was coined in the early 20th century to distinguish this area of study from older parts of algebra, and more specifically from elementary algebra, the use of variables to represent numbers in computation and reasoning. Algebraic structures, with their associated homomorphisms, form mathematical categories. Category theory is a formalism that allows a unified way for expressing properties and constructions that are similar for various structures. Universal algebra is a related subject that studies types of algebraic structures as single objects. For example, the structure of groups is a single object in universal algebra, which is called the ''variety of groups''. History Before the nineteenth century, algebra meant ...
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University Of Kansas
The University of Kansas (KU) is a public research university with its main campus in Lawrence, Kansas, United States, and several satellite campuses, research and educational centers, medical centers, and classes across the state of Kansas. Two branch campuses are in the Kansas City metropolitan area on the Kansas side: the university's medical school and hospital in Kansas City, Kansas, the Edwards Campus in Overland Park. There are also educational and research sites in Garden City, Hays, Leavenworth, Parsons, and Topeka, an agricultural education center in rural north Douglas County, and branches of the medical school in Salina and Wichita. The university is a member of the Association of American Universities and is classified among "R1: Doctoral Universities – Very high research activity". Founded March 21, 1865, the university was opened in 1866, under a charter granted by the Kansas State Legislature in 1864 and legislation passed in 1863 under the State Cons ...
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Indiana University
Indiana University (IU) is a system of public universities in the U.S. state of Indiana. Campuses Indiana University has two core campuses, five regional campuses, and two regional centers under the administration of IUPUI. *Indiana University Bloomington (IU Bloomington) is the flagship campus of Indiana University. The Bloomington campus is home to numerous premier Indiana University schools, including the College of Arts and Sciences, the Jacobs School of Music, an extension of the Indiana University School of Medicine, the School of Informatics, Computing, and Engineering, which includes the former School of Library and Information Science (now Department of Library and Information Science), School of Optometry, the O'Neil School of Public and Environmental Affairs, the Maurer School of Law, the School of Education, and the Kelley School of Business. *Indiana University–Purdue University Indianapolis (IUPUI), a partnership between Indiana University and Purdue Universi ...
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University Of Toronto
The University of Toronto (UToronto or U of T) is a public research university in Toronto, Ontario, Canada, located on the grounds that surround Queen's Park. It was founded by royal charter in 1827 as King's College, the first institution of higher learning in Upper Canada. Originally controlled by the Church of England, the university assumed its present name in 1850 upon becoming a secular institution. As a collegiate university, it comprises eleven colleges each with substantial autonomy on financial and institutional affairs and significant differences in character and history. The university maintains three campuses, the oldest of which, St. George, is located in downtown Toronto. The other two satellite campuses are located in Scarborough and Mississauga. The University of Toronto offers over 700 undergraduate and 200 graduate programs. In all major rankings, the university consistently ranks in the top ten public universities in the world and as the top university ...
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Barker (occupation)
A barker, often a carnival barker, is a person who attempts to attract patrons to entertainment events, such as a circus or funfair, by exhorting passing members of the public, announcing attractions of show, and emphasizing variety, novelty, beauty, or some other enticing feature of the show. A barker would often conduct a brief free show, introducing performers and describing acts to be given at the feature performance. Professional barkers strongly disliked the term and instead referred to themselves as "talkers". Perhaps the most famous fictional barkers are Billy Bigelow, the protagonist of Rodgers and Hammerstein's classic stage musical ''Carousel'', and Tin Man, a supporting protagonist from the 1978 musical film ''The Wiz'' portrayed by Nipsey Russell. Bigelow, in turn was an Americanized version of Liliom, the protagonist of Hungarian author Ferenc Molnár's non-musical play ''Liliom'', on which ''Carousel'' is based. The term barker has been adapted in modern times to d ...
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Steeplejack
A steeplejack is a craftsman who scales buildings, chimneys, and church steeples to carry out repairs or maintenance. Steeplejacks erect ladders on church spires, industrial chimneys, cooling towers, bell towers, clock towers, or any other high structure. In the UK, steeplejacks now use a belay rope fall-arrest system (similar to the method used by rock climbers) attached to the ladders as they are erected to eliminate solo climbing and greatly reduce the risk of falls from height. Once ladders have been erected, the next stage is usually to suspend a bosun's chair (a strong wooden plank on which the steeplejack can sit, pull themselves upwards or lower themselves downwards, or sit in a stationary position), but abseiling (UK) or rappelling (US) equipment is replacing the bosun's chair on many operations because of its lighter weight. Once this has been done it is possible to use this access to begin building scaffolding to carry out any repairs which may be required. This ...
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Billiards
Cue sports are a wide variety of games of skill played with a cue, which is used to strike billiard balls and thereby cause them to move around a cloth-covered table bounded by elastic bumpers known as . There are three major subdivisions of games within cue sports: *Carom billiards, played on tables without , typically 10 feet in length, including straight rail, balkline, one-cushion carom, three-cushion billiards, artistic billiards, and four-ball *Pool, played on six-pocket tables of 7-, 8-, 9-, or 10-foot length, including among others eight-ball (the world's most widely played cue sport), nine-ball (the dominant professional game), ten-ball, straight pool (the formerly dominant pro game), one-pocket, and bank pool *Snooker, English billiards, and Russian pyramid, played on a large, six-pocket table (dimensions just under 12 ft by 6 ft), all of which are classified separately from pool based on distinct development histories, player culture, rules, and termin ...
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Tennis
Tennis is a racket sport that is played either individually against a single opponent ( singles) or between two teams of two players each ( doubles). Each player uses a tennis racket that is strung with cord to strike a hollow rubber ball covered with felt over or around a net and into the opponent's court. The object of the game is to manoeuvre the ball in such a way that the opponent is not able to play a valid return. The player who is unable to return the ball validly will not gain a point, while the opposite player will. Tennis is an Olympic sport and is played at all levels of society and at all ages. The sport can be played by anyone who can hold a racket, including wheelchair users. The modern game of tennis originated in Birmingham, England, in the late 19th century as lawn tennis. It had close connections both to various field (lawn) games such as croquet and bowls as well as to the older racket sport today called real tennis. The rules of modern tennis have ...
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Golf
Golf is a club-and-ball sport in which players use various clubs to hit balls into a series of holes on a course in as few strokes as possible. Golf, unlike most ball games, cannot and does not use a standardized playing area, and coping with the varied terrains encountered on different courses is a key part of the game. Courses typically have either 18 or 9 ''holes'', regions of terrain that each contain a ''cup'', the hole that receives the ball. Each hole on a course contains a teeing ground to start from, and a putting green containing the cup. There are several standard forms of terrain between the tee and the green, such as the fairway, rough (tall grass), and various ''hazards'' such as water, rocks, or sand-filled ''bunkers''. Each hole on a course is unique in its specific layout. Golf is played for the lowest number of strokes by an individual, known as stroke play, or the lowest score on the most individual holes in a complete round by an individual or team, k ...
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Ice Hockey
Ice hockey (or simply hockey) is a team sport played on ice skates, usually on an ice skating rink with lines and markings specific to the sport. It belongs to a family of sports called hockey. In ice hockey, two opposing teams use ice hockey sticks to control, advance and shoot a closed, vulcanized, rubber disc called a " puck" into the other team's goal. Each goal is worth one point. The team which scores the most goals is declared the winner. In a formal game, each team has six skaters on the ice at a time, barring any penalties, one of whom is the goaltender. Ice hockey is a full contact sport. Ice hockey is one of the sports featured in the Winter Olympics while its premiere international amateur competition, the IIHF World Championships, are governed by the International Ice Hockey Federation (IIHF) for both men's and women's competitions. Ice hockey is also played as a professional sport. In North America as well as many European countries, the sport is known simply ...
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Association Football
Association football, more commonly known as football or soccer, is a team sport played between two teams of 11 players who primarily use their feet to propel the ball around a rectangular field called a pitch. The objective of the game is to score more goals than the opposition by moving the ball beyond the goal line into a rectangular framed goal defended by the opposing side. Traditionally, the game has been played over two 45 minute halves, for a total match time of 90 minutes. With an estimated 250 million players active in over 200 countries, it is considered the world's most popular sport. The game of association football is played in accordance with the Laws of the Game, a set of rules that has been in effect since 1863 with the International Football Association Board (IFAB) maintaining them since 1886. The game is played with a football that is in circumference. The two teams compete to get the ball into the other team's goal (between the posts and under t ...
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