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Elo Ratings
The Elo rating system is a method for calculating the relative skill levels of players in zero-sum games such as chess or esports. It is named after its creator Arpad Elo, a Hungarian-American chess master and physics professor. The Elo system was invented as an improved chess-rating system over the previously used Harkness system, but is also used as a rating system in association football (soccer), American football, baseball, basketball, pool, various board games and esports, and, more recently, large language models. The difference in the ratings between two players serves as a predictor of the outcome of a match. Two players with equal ratings who play against each other are expected to score an equal number of wins. A player whose rating is 100 points greater than their opponent's is expected to score 64%; if the difference is 200 points, then the expected score for the stronger player is 76%. A player's Elo rating is a number that may change depending on the outcome o ...
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United States Chess Federation
The United States Chess Federation (also known as US Chess or USCF) is the governing body for chess competition in the United States and represents the U.S. in FIDE, The World Chess Federation (FIDE). USCF administers the official national Chess rating system, rating system, awards national titles, sanctions over twenty national championships annually, and publishes two magazines: ''Chess Life'' and ''Chess Life for Kids, Chess Life Kids''. The USCF was founded and incorporated in Illinois in 1939, from the merger of two older chess organizations. It is a 501(c)(3) non-profit organization headquartered in St. Louis, Missouri. Its membership as of 2024 was 112,000. History In 1939, the United States of America Chess Federation was created in Illinois through the merger of the American Chess Federation and National Chess Federation. The American Chess Federation, formerly the Western Chess Association, held an annual open championship since 1900; that tournament, after the merger, ...
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Free Internet Chess Server
The Free Internet Chess Server (FICS) is a volunteer-run online chess platform. When the original Internet Chess Server (ICS) was commercialized and rebranded as the Internet Chess Club (ICC) in 1995, a group of users and developers came together to fork the code and host an alternative committed to free access. A rivalry between ICC and FICS persisted for years. Users download one of several graphical client programs, connect to the server via telnet, and can play chess or variants at a range of time controls. Games played on FICS are stored in a database, which has been used to train chess engines and to support academic studies. Though based in the US, the user base is international. In addition to the games themselves, there are chat rooms, pairing systems, analysis tools, and ratings. A relay system displays high-profile tournament games for users to see. As of 2024, FICS is still operational, though has declined in popularity with the rise of web-based chess sites. Histo ...
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Internet Chess Club
The Internet Chess Club (ICC) is a commercial Internet chess server devoted to the play and discussion of chess and chess variants. ICC had over 30,000 subscribing members in 2005. It was the first Internet chess server and was the largest pay to play chess server in 2005. History The first Internet chess server (ICS), programmed by Michael Moore and Richard Nash, was launched on 15 January 1992. Players logged in by telnet, and the board was displayed as ASCII ASCII ( ), an acronym for American Standard Code for Information Interchange, is a character encoding standard for representing a particular set of 95 (English language focused) printable character, printable and 33 control character, control c ... text. Bugs in the server software allowed illegal moves, false checkmates etc. Over time more and more features were added to ICS, such as Elo ratings and a choice of graphical interfaces. The playing pool grew steadily, many of the server bugs were fixed, and playe ...
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Professional Chess Association
The Professional Chess Association (PCA), which existed between 1993 and 1996, was a rival organisation to FIDE, the International Chess Federation. The PCA was created in 1993 by Garry Kasparov and Nigel Short for the marketing and organization of their Chess World Championship. Formation In 1993, Nigel Short won the Candidates Tournament and so qualified as challenger to Garry Kasparov for the World Chess Championship. By FIDE regulation, the bids for where the World Championship final is played should have been decided by three parties – FIDE, the World Champion (Kasparov) and the Challenger (Short). According to Kasparov and Short, FIDE president Florencio Campomanes broke these rules by simply announcing the venue of the winning bid as being Manchester. FIDE derived a substantial part of its income from the prize fund of the World Championship. In response to this, Kasparov and Short formed the PCA, appointing Bob Rice as Commissioner. They played their world championshi ...
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Logistic Distribution
In probability theory and statistics, the logistic distribution is a continuous probability distribution. Its cumulative distribution function is the logistic function, which appears in logistic regression and feedforward neural networks. It resembles the normal distribution in shape but has heavier tails (higher kurtosis). The logistic distribution is a special case of the Tukey lambda distribution. Specification Cumulative distribution function The logistic distribution receives its name from its cumulative distribution function, which is an instance of the family of logistic functions. The cumulative distribution function of the logistic distribution is also a scaled version of the Hyperbolic function, hyperbolic tangent. :F(x; \mu, s) = \frac = \frac12 + \frac12 \operatorname \left(\frac\right). In this equation is the mean, and is a scale parameter proportional to the standard deviation. Probability density function The probability density function is the partia ...
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Fédération Internationale Des Échecs
The International Chess Federation or World Chess Federation, commonly referred to by its French acronym FIDE ( , ), is an international organization based in Switzerland that connects the various national chess federations and acts as the governing body of international chess competition. FIDE was founded in Paris, France, in 1924. Its motto is , Latin for 'We are one Family'. In 1999, FIDE was recognized by the International Olympic Committee (IOC). there are 201 member federations of FIDE. The current world chess champion is Gukesh Dommaraju. Role FIDE's most visible activity is organizing the World Chess Championship since 1948. FIDE also organizes world championships for women, juniors, seniors, and the disabled, as well the world championships for the shorter time formats rapid and blitz. Another flagship event is the Chess Olympiad, a biennial chess tournament organized since 1924, in which national teams compete. In alternate years, FIDE also organizes the Wo ...
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Chess Rating Systems
A chess rating system is a system used in chess to estimate the strength of a player, based on their performance versus other players. They are used by organizations such as FIDE, the US Chess Federation (USCF or US Chess), International Correspondence Chess Federation, and the English Chess Federation. Most of the systems are used to recalculate ratings after a tournament or match but some are used to recalculate ratings after individual games. Popular online chess sites such as Chess.com, Lichess, and Internet Chess Club also implement rating systems. In almost all systems, a higher number indicates a stronger player. In general, players' ratings go up if they perform better than expected and down if they perform worse than expected. The magnitude of the change depends on the rating of their opponents. The Elo rating system is currently the most widely used (though it has many variations and improvements). The Elo-like ratings systems have been adopted in many other contexts, s ...
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Mark Glickman
The Glicko rating system and Glicko-2 rating system are methods of assessing a player's strength in zero-sum two-player games. The Glicko rating system was invented by Mark Glickman in 1995 as an improvement on the Elo rating system and initially intended for the primary use as a chess rating system. Glickman's principal contribution to measurement is "ratings reliability", called RD, for ''ratings deviation''. Overview Mark Glickman created the Glicko rating system in 1995 as an improvement on the Elo rating system. Both the Glicko and Glicko-2 rating systems are under public domain and have been implemented on game servers online like '' Counter-Strike: Global Offensive,'' ''Team Fortress 2'','' Dota 2'', ''Guild Wars 2'', ''Splatoon 2'', Online-go.com, Lichess and Chess.com. The Reliability Deviation (RD) measures the accuracy of a player's rating, where the RD is equal to one standard deviation. For example, a player with a rating of 1500 and an RD of 50 has a real stren ...
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Standard Deviation
In statistics, the standard deviation is a measure of the amount of variation of the values of a variable about its Expected value, mean. A low standard Deviation (statistics), deviation indicates that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the values are spread out over a wider range. The standard deviation is commonly used in the determination of what constitutes an outlier and what does not. Standard deviation may be abbreviated SD or std dev, and is most commonly represented in mathematical texts and equations by the lowercase Greek alphabet, Greek letter Sigma, σ (sigma), for the population standard deviation, or the Latin script, Latin letter ''s'', for the sample standard deviation. The standard deviation of a random variable, Sample (statistics), sample, statistical population, data set, or probability distribution is the square root of its variance. (For a finite population, v ...
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Random Variable
A random variable (also called random quantity, aleatory variable, or stochastic variable) is a Mathematics, mathematical formalization of a quantity or object which depends on randomness, random events. The term 'random variable' in its mathematical definition refers to neither randomness nor variability but instead is a mathematical function (mathematics), function in which * the Domain of a function, domain is the set of possible Outcome (probability), outcomes in a sample space (e.g. the set \ which are the possible upper sides of a flipped coin heads H or tails T as the result from tossing a coin); and * the Range of a function, range is a measurable space (e.g. corresponding to the domain above, the range might be the set \ if say heads H mapped to -1 and T mapped to 1). Typically, the range of a random variable is a subset of the Real number, real numbers. Informally, randomness typically represents some fundamental element of chance, such as in the roll of a dice, d ...
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Normal Distribution
In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable. The general form of its probability density function is f(x) = \frac e^\,. The parameter is the mean or expectation of the distribution (and also its median and mode), while the parameter \sigma^2 is the variance. The standard deviation of the distribution is (sigma). A random variable with a Gaussian distribution is said to be normally distributed, and is called a normal deviate. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. Their importance is partly due to the central limit theorem. It states that, under some conditions, the average of many samples (observations) of a random variable with finite mean and variance is itself a random variable—whose distribution c ...
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