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Performance Rating (chess)
Performance rating (abbreviated as Rp) in chess is the level a player performed at in a tournament or match based on the number of games played, their total score in those games, and the Elo ratings of their opponents. It is the Elo rating a player would have if their performance resulted in no net rating change. Due to the difficulty of computing performance rating in this manner, however, the linear method and FIDE method for calculating performance rating are in much more widespread use. With these simpler methods, only the average rating (abbreviated as Ra) factors into the calculation instead of the rating of each individual opponent. Regardless of the method, only the total score is used to determine performance rating instead of individual game results. FIDE performance ratings are also used to determine if a player has achieved a norm for FIDE titles such as Grandmaster (GM). Definition A player's performance rating in a series of games is the Elo rating a player would n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chess
Chess is a board game for two players. It is an abstract strategy game that involves Perfect information, no hidden information and no elements of game of chance, chance. It is played on a square chessboard, board consisting of 64 squares arranged in an 8×8 grid. The players, referred to as White and Black in chess, "White" and "Black", each control sixteen Chess piece, pieces: one king (chess), king, one queen (chess), queen, two rook (chess), rooks, two bishop (chess), bishops, two knight (chess), knights, and eight pawn (chess), pawns, with each type of piece having a different pattern of movement. An enemy piece may be captured (removed from the board) by moving one's own piece onto the square it occupies. The object of the game is to "checkmate" (threaten with inescapable capture) the enemy king. There are also several ways a game can end in a draw (chess), draw. The recorded history of chess goes back to at least the emergence of chaturanga—also thought to be an ancesto ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
FIDE
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 Sport governing body, 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 FIDE Federations, member federations of FIDE. The current world chess champion is Gukesh Dommaraju, Gukesh Dommaraju. Role FIDE's most visible activity is organizing the World Chess Championship since 1948. FIDE also organizes world championships for Women's World Chess Championship, women, World Junior Chess Championship, juniors, World Senior Chess Championship, seniors, and the Disability, disabled, as well the world championships for the shorter time formats World Rapid Chess Championship, r ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Norm (chess)
A norm in chess is a high level of performance in a chess tournament. The level of performance is typically measured in tournament performance rating above a certain threshold (for instance, 2600 for GM norm), and there is a requirement on the level of tournament, for instance by a prescribed minimal number of participants of given title/level one meets. Several norms are among the requirements to receive a title such as Grandmaster from FIDE. Grandmaster norm To qualify for the title of Grandmaster (GM) of chess, a title awarded by FIDE, the World Chess Federation, a player must achieve three or more grandmaster norms in events covering a minimum of 27 games. Norms can only be gained in tournaments that fulfill FIDE's strict criteria: for instance, the entry must include at least three GM titled players from different countries playing over a minimum of nine rounds with not less than 120 minutes thinking time per round, assuming the game lasts 60 moves (so for instance 90 minut ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grandmaster (chess)
Grandmaster (GM) is a Chess title, title awarded to chess players by the world chess organization FIDE. Apart from World Chess Championship, World Champion, Grandmaster is the highest title a chess player can attain. Once achieved, the title is held for life, though exceptionally the title can be revoked for Cheating in chess, cheating. The title of Grandmaster, along with the lesser FIDE titles of FIDE titles#International Master (IM), International Master (IM), FIDE titles#FIDE Master (FM), FIDE Master (FM), and FIDE titles#Candidate Master (CM), Candidate Master (CM), is open to all players regardless of gender. The great majority of grandmasters are men, but 42 women have been awarded the GM title as of 2024, out of a total of about 2000 grandmasters. There is also a FIDE titles#Woman Grandmaster (WGM), Woman Grandmaster title with lower requirements awarded only to women. There are also Grandmaster titles for composers and solvers of chess problems, awarded by the World Federa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elo Rating
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, chess-rating system over the previously used Harkness rating system, Harkness system, but is also used as a rating system in association football, association football (soccer), American football, baseball, basketball, pool (cue sports), pool, various board games and esports, and, more recently, Large language model, 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 th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Monotonic Function
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order theory. In calculus and analysis In calculus, a function f defined on a subset of the real numbers with real values is called ''monotonic'' if it is either entirely non-decreasing, or entirely non-increasing. That is, as per Fig. 1, a function that increases monotonically does not exclusively have to increase, it simply must not decrease. A function is termed ''monotonically increasing'' (also ''increasing'' or ''non-decreasing'') if for all x and y such that x \leq y one has f\!\left(x\right) \leq f\!\left(y\right), so f preserves the order (see Figure 1). Likewise, a function is called ''monotonically decreasing'' (also ''decreasing'' or ''non-increasing'') if, whenever x \leq y, then f\!\left(x\right) \geq f\!\left(y\right), ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Binary Search Algorithm
In computer science, binary search, also known as half-interval search, logarithmic search, or binary chop, is a search algorithm that finds the position of a target value within a sorted array. Binary search compares the target value to the middle element of the array. If they are not equal, the half in which the target cannot lie is eliminated and the search continues on the remaining half, again taking the middle element to compare to the target value, and repeating this until the target value is found. If the search ends with the remaining half being empty, the target is not in the array. Binary search runs in logarithmic time in the worst case, making O(\log n) comparisons, where n is the number of elements in the array. Binary search is faster than linear search except for small arrays. However, the array must be sorted first to be able to apply binary search. There are specialized data structures designed for fast searching, such as hash tables, that can be searched ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Python (programming Language)
Python is a high-level programming language, high-level, general-purpose programming language. Its design philosophy emphasizes code readability with the use of significant indentation. Python is type system#DYNAMIC, dynamically type-checked and garbage collection (computer science), garbage-collected. It supports multiple programming paradigms, including structured programming, structured (particularly procedural programming, procedural), object-oriented and functional programming. It is often described as a "batteries included" language due to its comprehensive standard library. Guido van Rossum began working on Python in the late 1980s as a successor to the ABC (programming language), ABC programming language, and he first released it in 1991 as Python 0.9.0. Python 2.0 was released in 2000. Python 3.0, released in 2008, was a major revision not completely backward-compatible with earlier versions. Python 2.7.18, released in 2020, was the last release of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytic Expression
In mathematics, an expression or equation is in closed form if it is formed with constants, variables, and a set of functions considered as ''basic'' and connected by arithmetic operations (, and integer powers) and function composition. Commonly, the basic functions that are allowed in closed forms are ''n''th root, exponential function, logarithm, and trigonometric functions. However, the set of basic functions depends on the context. For example, if one adds polynomial roots to the basic functions, the functions that have a closed form are called elementary functions. The ''closed-form problem'' arises when new ways are introduced for specifying mathematical objects, such as limits, series, and integrals: given an object specified with such tools, a natural problem is to find, if possible, a ''closed-form expression'' of this object; that is, an expression of this object in terms of previous ways of specifying it. Example: roots of polynomials The quadratic formu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lookup Table
In computer science, a lookup table (LUT) is an array data structure, array that replaces runtime (program lifecycle phase), runtime computation of a mathematical function (mathematics), function with a simpler array indexing operation, in a process termed as ''direct addressing''. The savings in processing time can be significant, because retrieving a value from memory is often faster than carrying out an "expensive" computation or input/output operation. The tables may be precomputation, precalculated and stored in static memory allocation, static program storage, calculated (or prefetcher, "pre-fetched") as part of a program's initialization phase (''memoization''), or even stored in hardware in application-specific platforms. Lookup tables are also used extensively to validate input values by matching against a list of valid (or invalid) items in an array and, in some programming languages, may include pointer functions (or offsets to labels) to process the matching input. Fiel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Skewness
In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. The skewness value can be positive, zero, negative, or undefined. For a unimodal distribution (a distribution with a single peak), negative skew commonly indicates that the ''tail'' is on the left side of the distribution, and positive skew indicates that the tail is on the right. In cases where one tail is long but the other tail is fat, skewness does not obey a simple rule. For example, a zero value in skewness means that the tails on both sides of the mean balance out overall; this is the case for a symmetric distribution but can also be true for an asymmetric distribution where one tail is long and thin, and the other is short but fat. Thus, the judgement on the symmetry of a given distribution by using only its skewness is risky; the distribution shape must be taken into account. Introduction Consider the two d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
