Ulam's Game
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Ulam's Game
Ulam's game, or the Rényi–Ulam game, is a mathematical game similar to the popular game of twenty questions. In Ulam's game, a player attempts to guess an unnamed object or number by asking yes–no questions of another, but ''one'' of the answers given may be a lie. introduced the game in a 1961 paper, based on Hungary's Simon_bar_Kokhba#The_Bar_Kokhba_game, Bar Kokhba game, but the paper was overlooked for many years. rediscovered the game, presenting the idea that there are a million objects and the answer to one question can be wrong, and considered the minimum number of questions required, and the strategy that should be adopted. gave a survey of similar games and their relation to information theory. See also * Knights and Knaves References * * * {{mathematics-stub Mathematical games Information theory Guessing games ...
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Yes–no Question
In linguistics, a yes–no question, also known as a binary question, a polar question, or a general question is a question whose expected answer is one of two choices, one that provides an affirmative answer to the question versus one that provides a negative answer to the question. Typically, in English, the choices are either "yes" or "no". Yes–no questions present an exclusive disjunction, namely a pair of alternatives of which only one is a felicitous answer. In English, such questions can be formed in both positive and negative forms * positive yes/no question: "Will you be here tomorrow?" * negative yes/not question: "Won't you be here tomorrow?" Yes–no questions are in contrast with non-polar wh-questions. The latter are also called content questions, and are formed with the five Ws plus an H ( "who", "what", "where", "when", "why", "how"). Rather than restricting the range of possible answers to two alternatives, content questions are compatible with a broad range ...
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Simon Bar Kokhba
Simon ben Koseba or Cosiba ( he, שִׁמְעוֹן בַּר כֹסֵבָא, translit= Šīmʾōn bar Ḵōsēḇaʾ‎ ; died 135 CE), commonly known as Bar Kokhba ( he, שִׁמְעוֹן בַּר כּוֹכְבָא‎, translit=Šīmʾōn bar Kōḵḇāʾ‎ ), was a Jewish military leader who led the Bar Kokhba revolt against the Roman Empire in 132 CE. The revolt established a three-year-long independent Jewish state in which Bar Kokhba ruled as '' nasi'' ("prince"). Some of the rabbinic scholars in his time imagined him to be the long-expected Messiah. Bar Kokhba fell in the fortified town of Betar. Name Documented name Documents discovered in the 20th century in the Cave of Letters give his original name, with variations: Simeon bar Kosevah (), Bar Kosevaʾ‎ () or Ben Kosevaʾ‎ (). It is probable that his original name was Bar Koseba. The name may indicate that his father or his place of origin was named Koseva(h), with Khirbet Kuwayzibah being a likely nominee for ...
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Information Theory
Information theory is the scientific study of the quantification, storage, and communication of information. The field was originally established by the works of Harry Nyquist and Ralph Hartley, in the 1920s, and Claude Shannon in the 1940s. The field is at the intersection of probability theory, statistics, computer science, statistical mechanics, information engineering, and electrical engineering. A key measure in information theory is entropy. Entropy quantifies the amount of uncertainty involved in the value of a random variable or the outcome of a random process. For example, identifying the outcome of a fair coin flip (with two equally likely outcomes) provides less information (lower entropy) than specifying the outcome from a roll of a die (with six equally likely outcomes). Some other important measures in information theory are mutual information, channel capacity, error exponents, and relative entropy. Important sub-fields of information theory include sourc ...
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Theoretical Computer Science (journal)
''Theoretical Computer Science'' (TCS) is a computer science journal published by Elsevier, started in 1975 and covering theoretical computer science. The journal publishes 52 issues a year. It is abstracted and indexed by Scopus and the Science Citation Index. According to the Journal Citation Reports, its 2020 impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a scientometric index calculated by Clarivate that reflects the yearly mean number of citations of articles published in the last two years in a given journal, as ... is 0.827. References Computer science journals Elsevier academic journals Publications established in 1975 {{comp-sci-theory-stub ...
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Mathematical Games
A mathematical game is a game whose rules, strategies, and outcomes are defined by clear mathematical parameters. Often, such games have simple rules and match procedures, such as Tic-tac-toe and Dots and Boxes. Generally, mathematical games need not be conceptually intricate to involve deeper computational underpinnings. For example, even though the rules of Mancala are relatively basic, the game can be rigorously analyzed through the lens of combinatorial game theory. Mathematical games differ sharply from mathematical puzzles in that mathematical puzzles require specific mathematical expertise to complete, whereas mathematical games do not require a deep knowledge of mathematics to play. Often, the arithmetic core of mathematical games is not readily apparent to players untrained to note the statistical or mathematical aspects. Some mathematical games are of deep interest in the field of recreational mathematics. When studying a game's core mathematics, arithmetic theory i ...
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Information Theory
Information theory is the scientific study of the quantification, storage, and communication of information. The field was originally established by the works of Harry Nyquist and Ralph Hartley, in the 1920s, and Claude Shannon in the 1940s. The field is at the intersection of probability theory, statistics, computer science, statistical mechanics, information engineering, and electrical engineering. A key measure in information theory is entropy. Entropy quantifies the amount of uncertainty involved in the value of a random variable or the outcome of a random process. For example, identifying the outcome of a fair coin flip (with two equally likely outcomes) provides less information (lower entropy) than specifying the outcome from a roll of a die (with six equally likely outcomes). Some other important measures in information theory are mutual information, channel capacity, error exponents, and relative entropy. Important sub-fields of information theory include sourc ...
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