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Magic Number (sports)
In certain sports, a magic number is a number used to indicate how close a front-running team is to clinching a division title and/or a playoff spot. It represents the total of additional wins by the front-running team or additional losses (or any combination thereof) by the rival teams after which it is mathematically impossible for the rival teams to capture the title in the remaining number of games (assuming some highly unlikely occurrence such as disqualification or expulsion from the competition or retroactive forfeiture of games does not occur). Magic numbers are generally confined to sports where each game results in a win or a loss, but not a tie. It could also be referred to as the "clinching number." Teams other than the front-running team have what is called an elimination number (or "tragic number") (often abbreviated ''E#''). This number represents the number of wins by the leading team or losses by the trailing team which will eliminate the trailing team. The la ...
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Sports
Sport pertains to any form of competitive physical activity or game that aims to use, maintain, or improve physical ability and skills while providing enjoyment to participants and, in some cases, entertainment to spectators. Sports can, through casual or organized participation, improve participants' physical health. Hundreds of sports exist, from those between single contestants, through to those with hundreds of simultaneous participants, either in teams or competing as individuals. In certain sports such as racing, many contestants may compete, simultaneously or consecutively, with one winner; in others, the contest (a ''match'') is between two sides, each attempting to exceed the other. Some sports allow a "tie" or "draw", in which there is no single winner; others provide tie-breaking methods to ensure one winner and one loser. A number of contests may be arranged in a tournament producing a champion. Many sports leagues make an annual champion by arranging games ...
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Tie (draw)
A draw or tie occurs in a competitive sport when the results are identical or inconclusive. Ties or draws are possible in some, but not all, sports and games. Such an outcome, sometimes referred to as deadlock, can also occur in other areas of life such as politics, business, and wherever there are different factions regarding an issue. In some sports, such as cricket, a tie and a draw have different meanings. Terminology The word ''Tie'' is usually used in North America, whereas the word ''draw'' is usual elsewhere. In cricket, a draw and a tie are two different results. Resolving ties or draws In instances where a winner must be determined, several methods are commonly used. Across various sports: * Some other measure may be used, such as aggregate point difference. * A game may continue on in extra time. To ensure a quick result, some form of sudden death rule may apply. * In some sports, a penalty shootout or bowl-out may occur. * A rematch may occur at a later date, espec ...
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Season (sport)
In an organized sports league, a typical season is the portion of one year in which regulated games of the sport are in session: for example, in Major League Baseball the season lasts approximately from the last week of March to the last week of September. In other team sports, like association football or basketball, it is generally from August or September to May although in some countries - such as Northern Europe or East Asia - the season starts in the spring and finishes in autumn, mainly due to weather conditions encountered during the winter. A year can often be broken up into several distinct sections (sometimes themselves called seasons). These are: a preseason, a series of exhibition games played for training purposes; a regular season, the main period of the league's competition; the postseason, a playoff tournament played against the league's top teams to determine the league's champion; and the offseason, the time when there is no official competition. Preseason In ...
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Major League Baseball
Major League Baseball (MLB) is a professional baseball organization and the oldest major professional sports league in the world. MLB is composed of 30 total teams, divided equally between the National League (NL) and the American League (AL), with 29 in the United States and 1 in Canada. The NL and AL were formed in 1876 and 1901, respectively. Beginning in 1903, the two leagues signed the National Agreement and cooperated but remained legally separate entities until 2000, when they merged into a single organization led by the Commissioner of Baseball. MLB is headquartered in Midtown Manhattan. It is also included as one of the major professional sports leagues in the United States and Canada. Baseball's first all-professional team, the Cincinnati Red Stockings, was founded in 1869. Before that, some teams had secretly paid certain players. The first few decades of professional baseball were characterized by rivalries between leagues and by players who often jumped from one t ...
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Division (sport)
In sports, a division is a group of teams who compete against each other for a championship. League system In sports using a league system (also known as a pyramid structure), a division consists of a group of teams who play a sport at a similar competitive level. Teams can move up to a higher division of play or drop down to a lower one via the process of promotion and relegation, based on their performance in the standings at the end of the season. The existence of divisions based on level of competition ensures that teams at one competitive level can play other teams at a similar competitive level, thus creating parity and more exciting matches. Franchise system In North America, where sports usually operate on a franchise system rather than a league system, a division is a group of teams within a league which is organized along geographical lines rather than competitive success. Teams based in cities that are in a particular region of the continent are grouped together in ...
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National Basketball Association
The National Basketball Association (NBA) is a professional basketball league in North America. The league is composed of 30 teams (29 in the United States and 1 in Canada) and is one of the major professional sports leagues in the United States and Canada. It is the premier men's professional basketball league in the world. The league was founded in New York City on June 6, 1946, as the Basketball Association of America (BAA). It changed its name to the National Basketball Association on August 3, 1949, after merging with the competing National Basketball League (NBL). In 1976, the NBA and the American Basketball Association (ABA) merged, adding four franchises to the NBA. The NBA's regular season runs from October to April, with each team playing 82 games. The league's playoff tournament extends into June. , NBA players are the world's best paid athletes by average annual salary per player. The NBA is an active member of USA Basketball (USAB), which is recognized by the F ...
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One-game Playoff
A one-game playoff, sometimes known as a pennant playoff, tiebreaker game or knockout game, is a tiebreaker in certain sports—usually but not always professional—to determine which of two teams, tied in the final standings, will qualify for a post-season tournament. Such a playoff is either a single game or a short series of games (such as best-2-of-3). This is distinguished from the more general usage of the term " playoff", which refers to the post-season tournament itself. Major League Baseball One-game playoffs were used in Major League Baseball (MLB) through the 2021 season. When two or more MLB teams were tied for a division championship or the wild card playoff berth (1995–2011, or starting in 2012, the second only) at the end of the regular season, a one-game playoff was used to determine the winner. If a tie were (from 1995 to 2011) a two-way tie for a division championship and both tied teams' have records higher than those records of the second-place teams ...
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Maximum Flow Problem
In optimization theory, maximum flow problems involve finding a feasible flow through a flow network that obtains the maximum possible flow rate. The maximum flow problem can be seen as a special case of more complex network flow problems, such as the circulation problem. The maximum value of an s-t flow (i.e., flow from source s to sink t) is equal to the minimum capacity of an s-t cut (i.e., cut severing s from t) in the network, as stated in the max-flow min-cut theorem. History The maximum flow problem was first formulated in 1954 by T. E. Harris and F. S. Ross as a simplified model of Soviet railway traffic flow. In 1955, Lester R. Ford, Jr. and Delbert R. Fulkerson created the first known algorithm, the Ford–Fulkerson algorithm.Ford, L.R., Jr.; Fulkerson, D.R., ''Flows in Networks'', Princeton University Press (1962). In their 1955 paper, Ford and Fulkerson wrote that the problem of Harris and Ross is formulated as follows (see p. 5):Consider a rail network conn ...
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Promotion And Relegation
In sports leagues, promotion and relegation is a process where teams are transferred between multiple divisions based on their performance for the completed season. Leagues that use promotion and relegation systems are often called open leagues. In a system of promotion and relegation, the best-ranked team(s) in the lower division are ''promoted'' to the higher division for the next season, and the worst-ranked team(s) in the higher division are ''relegated'' to the lower division for the next season. In some leagues, playoffs or qualifying rounds are also used to determine rankings. This process can continue through several levels of divisions, with teams being exchanged between adjacent divisions. During the season, teams that are high enough in the league table that they would qualify for promotion are sometimes said to be in the ''promotion zone'', and those at the bottom are in the ''relegation zone'' or Reg zone ( colloquially the ''drop zone'' or ''facing the drop''). A ...
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Double Round Robin
A round-robin tournament (or all-go-away-tournament) is a competition in which each contestant meets every other participant, usually in turn.''Webster's Third New International Dictionary of the English Language, Unabridged'' (1971, G. & C. Merriam Co), p.1980. A round-robin contrasts with an elimination tournament, in which participants/teams are eliminated after a certain number of losses. Terminology The term ''round-robin'' is derived from the French term ''ruban'', meaning " ribbon". Over a long period of time, the term was corrupted and idiomized to ''robin''. In a ''single round-robin'' schedule, each participant plays every other participant once. If each participant plays all others twice, this is frequently called a ''double round-robin''. The term is rarely used when all participants play one another more than twice, and is never used when one participant plays others an unequal number of times (as is the case in almost all of the major United States professional s ...
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Goal Difference
Goal difference, goal differential or points difference is a form of tiebreaker used to rank sport teams which finish on equal points in a league competition. Either "goal difference" or "points difference" is used, depending on whether matches are scored by goals (as in ice hockey and association football) or by points (as in rugby union and basketball). Goal difference is calculated as the number of goals scored in all league matches minus the number of goals conceded, and is sometimes known simply as plus–minus. Goal difference was first introduced as a tiebreaker in association football, at the 1970 FIFA World Cup, and was adopted by the Football League in England five years later. It has since spread to many other competitions, where it is typically used as either the first or, after tying teams' head-to-head records, second tiebreaker. Goal difference is zero sum, in that a gain for one team (+1) is exactly balanced by the loss for their opponent (–1). Therefore, the ...
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Games Behind
In most North American sports, the phrase games behind or games back (often abbreviated GB) is a common way to reflect the gap between a leading team and another team in a sports league, conference, or division. Example In the below standings from the 1994 Major League Baseball season, the Atlanta Braves are six ''games behind'' the Montreal Expos. Atlanta would have to win six games, and Montreal would have to lose six games, to tie for first. The leading team is by definition zero games behind itself, and this is indicated in standings by a dash, not a zero. Computing games behind Games behind is calculated by using either of the following formulas, in which Team A is a leading team, and Team B is a trailing team. Example math in this section uses the above standings, with Montreal as Team A and Atlanta as Team B. :\text = \frac :\text = \frac = \frac = \frac = 6 Alternately: :\text = \frac :\text = \frac = \frac = \frac = 6 Notes: * It can alternately be said that Montre ...
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