In Boolean algebra, the consensus theorem or rule of consensus is the identity: x y ∨ x ¯ z ∨ y z = x y ∨ x ¯ z {\displaystyle xy\vee {\bar {x}}z\vee yz=xy\vee...
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Consensus sequence, the order of nucleotide or amino acid residues most frequently found within a DNA, RNA or protein sequence. Consensus theorem, an...
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graph Logic gate Boolean analysis Boolean prime ideal theorem Compactness theorem Consensus theorem De Morgan's laws Duality (order theory) Laws of classical...
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In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle...
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coordinating processes to reach consensus, or agree on some data value that is needed during computation. Example applications of consensus include agreeing on what...
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majority rule; Arrow's theorem generalizes Condorcet's findings to include non-majoritarian rules like collective leadership or consensus decision-making. While...
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(logic), the clause produced by a resolution In the consensus theorem, the term produced by a consensus in Boolean logic This disambiguation page lists articles...
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Dubins–Spanier convexity theorem (the existence of a consensus 1/k-division was previously noted by Jerzy Neyman). However, this theorem says nothing about...
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The Zero Theorem is a 2013 science fiction film directed by Terry Gilliam, starring Christoph Waltz, David Thewlis, Mélanie Thierry and Lucas Hedges....
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stated in terms of direct-current resistive circuits only, Thévenin's theorem states that "Any linear electrical network containing only voltage sources...
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Kolmogorov complexity (redirect from Chaitin's incompleteness theorem)
impossibility results akin to Cantor's diagonal argument, Gödel's incompleteness theorem, and Turing's halting problem. In particular, no program P computing a...
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In mathematics, the Borsuk–Ulam theorem states that every continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal points...
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fair-division challenge is sometimes referred to as the consensus-halving problem. The Hobby–Rice theorem implies that this can be done with n cuts. Hobby,...
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variables). This can for example be used to show that the following laws (Consensus theorems) are generally valid in all Boolean algebras: (a ∨ b) ∧ (¬a ∨ c) ∧...
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Riemann hypothesis (redirect from Critical line theorem)
hypothesis is true, then the theorem is true. If the generalized Riemann hypothesis is false, then the theorem is true. Thus, the theorem is true!! Care should...
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Elementary proof (section Prime number theorem)
once thought that certain theorems, like the prime number theorem, could only be proved by invoking "higher" mathematical theorems or techniques. However...
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Poincaré conjecture (redirect from Poincaré's theorem)
conjecture (UK: /ˈpwæ̃kæreɪ/, US: /ˌpwæ̃kɑːˈreɪ/, French: [pwɛ̃kaʁe]) is a theorem about the characterization of the 3-sphere, which is the hypersphere that...
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Aumann's agreement theorem states that two Bayesian agents with the same prior beliefs cannot "agree to disagree" about the probability of an event if...
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Gödel's incompleteness theorem suggests that attempts to construct a theory of everything are bound to fail. Gödel's theorem, informally stated, asserts...
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Yuri Matiyasevich completing the theorem in 1970. The theorem is now known as Matiyasevich's theorem or the MRDP theorem. Optimal design In the design of...
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Majority rule (section May's theorem)
conflict"; however, the median voter theorem guarantees that majority-rule will tend to elect "compromise" or "consensus" candidates in many situations, unlike...
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Algorand (section Consensus algorithm)
delivery. The Algorand consensus protocol privileges consistency over availability (CAP theorem). If the network is unable to reach consensus over the next step...
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mean − Consensus group mean Consensus group standard deviation {\displaystyle {\text{SDI}}={\frac {{\text{Laboratory mean}}-{\text{Consensus group...
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sentences (theorems) in a formal language Theory, a type of argument in policy debate and Lincoln–Douglas debate Theory (chess), consensus and literature...
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shown on the right. Ancient Egyptian mathematicians knew the Pythagorean theorem as an empirical formula. They were aware, for example, that a triangle...
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List of incomplete proofs (redirect from List of published false theorems)
five color theorem. The four-color theorem was eventually proved by Kenneth Appel and Wolfgang Haken in 1976. Schröder–Bernstein theorem. In 1896 Schröder...
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equivalence between the last two is a direct consequence from Perron–Frobenius theorem. It is not necessary to have a strongly connected social network to have...
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Łukasziewicz fuzzy logic. A generalization of the classical Gödel completeness theorem is provable in EVŁ. Similar to the way predicate logic is created from...
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book on mathematics noted mainly for a theorem on the nine-point circle, which is now known as Feuerbach's theorem. In 1827 he introduced homogeneous coordinates...
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remain controversial, even though the theorems themselves are not. The oldest and simplest is Condorcet's jury theorem (1785). Aristotle is credited as the...
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