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Majority problem information


The majority problem, or density classification task, is the problem of finding one-dimensional cellular automaton rules that accurately perform majority voting.

Using local transition rules, cells cannot know the total count of all the ones in system. In order to count the number of ones (or, by symmetry, the number of zeros), the system requires a logarithmic number of bits in the total size of the system. It also requires the system send messages over a distance linear in the size of the system and for the system to recognize a non-regular language. Thus, this problem is an important test case in measuring the computational power of cellular automaton systems.

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Majority problem

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majority problem, or density classification task, is the problem of finding one-dimensional cellular automaton rules that accurately perform majority...

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Supermajority

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A supermajority (also called supra-majority, supramajority, qualified majority, or special majority) is a requirement for a proposal to gain a specified...

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Majority function

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(structure) Boolean algebras canonically defined Boyer–Moore majority vote algorithm Majority problem (cellular automaton) Peterson, William Wesley; Weldon,...

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Silent majority

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The silent majority is an unspecified large group of people in a country or group who do not express their opinions publicly. The term was popularized...

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Tyranny of the majority

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Rights have been used to counter the problem. A separation of powers (for example legislative and executive majority actions subject to review by the judiciary)...

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Trolley problem

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The trolley problem is a series of thought experiments in ethics, psychology and artificial intelligence involving stylized ethical dilemmas of whether...

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Moral Majority

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a majority. By 1988, there were serious cash flow problems and Falwell dismantled the organization in 1989. During its existence the Moral Majority experienced...

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Millennium Prize Problems

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to each problem. The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved mathematical problems, the Birch...

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Global majority

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Global Majority: Decolonising Narratives. Springer Nature. p. 8–9, 57–58. ISBN 978-3-030-88282-2. Weller, Paul (2 January 2022). "'The Problems of the...

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Monty Hall problem

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The Monty Hall problem is a brain teaser, in the form of a probability puzzle, based nominally on the American television game show Let's Make a Deal...

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Concurrent majority

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such control toward wider suffrage. The problem of tyranny then became a problem of limiting the majority's power. Even so, the widening of the franchise...

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Muslim world

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although there are no agreed criteria for inclusion. The term Muslim-majority countries is an alternative often used for the latter sense. The history...

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Rule 184

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one-dimensional binary cellular automaton rule, notable for solving the majority problem as well as for its ability to simultaneously describe several, seemingly...

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Melanie Mitchell

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showed that genetic algorithms could find better solutions to the majority problem for one-dimensional cellular automata. She is the author of An Introduction...

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Logrolling

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affiliation (Holcombe 2006). The problem of cyclical majorities may arise with the absence of logrolling. The cyclical majority problem occurs when voters are faced...

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Party leaders of the United States Senate

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Party leaders of the U.S. Senate The positions of majority leader and minority leader are held by two United States senators and people of the party leadership...

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Birthday problem

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In probability theory, the birthday problem asks for the probability that, in a set of n randomly chosen people, at least two will share a birthday. The...

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Hard problem of consciousness

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non-problem". According to a 2020 PhilPapers survey, a majority (62.42%) of the philosophers surveyed, said they believed that the hard problem is a...

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Streaming algorithm

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elements problem is to output a set of elements that constitute more than some fixed fraction of the stream. A special case is the majority problem, which...

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Party leaders of the United States House of Representatives

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party leader serves as majority leader and the other as minority leader. Unlike the Senate Majority Leader, the House Majority Leader is the second highest-ranking...

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Year 2000 problem

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The year 2000 problem, also commonly known as the Y2K problem, Y2K scare, millennium bug, Y2K bug, Y2K glitch, Y2K error, or simply Y2K, refers to potential...

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Cyprus problem

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The Cyprus problem, also known as the Cyprus conflict, Cyprus issue, Cyprus dispute, or Cyprus question, is an ongoing dispute between the Greek Cypriot...

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Fleet problem

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around 2014. The first twenty-one Fleet Problems — labeled with roman numerals as Fleet Problem I through Fleet Problem XXI — were conducted between 1923 and...

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Boolean satisfiability problem

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satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY, SAT or B-SAT) is the problem of determining...

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Byzantine fault

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(also Byzantine generals problem, interactive consistency, source congruency, error avalanche, Byzantine agreement problem, and Byzantine failure) is...

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Problem of induction

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The problem of induction is a philosophical problem that questions the rationality of predictions about unobserved things based on previous observations...

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Anglophone problem

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The Anglophone problem (French: Problème anglophone) is a socio-political issue in the modern Republic of Cameroon, rooted in the country's German, British...

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Synoptic Gospels

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question of the precise nature of their literary relationship—the synoptic problem—has been a topic of debate for centuries and has been described as "the...

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