• Thumbnail for Consensus theorem
    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...
    6 KB (725 words) - 07:33, 27 December 2024
  • Consensus sequence, the order of nucleotide or amino acid residues most frequently found within a DNA, RNA or protein sequence. Consensus theorem, an...
    3 KB (417 words) - 09:16, 4 May 2025
  • graph Logic gate Boolean analysis Boolean prime ideal theorem Compactness theorem Consensus theorem De Morgan's laws Duality (order theory) Laws of classical...
    6 KB (271 words) - 23:18, 23 July 2024
  • Thumbnail for Pythagorean theorem
    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle...
    95 KB (12,787 words) - 21:00, 12 July 2025
  • coordinating processes to reach consensus, or agree on some data value that is needed during computation. Example applications of consensus include agreeing on what...
    43 KB (4,770 words) - 23:19, 19 June 2025
  • Thumbnail for Arrow's impossibility theorem
    majority rule; Arrow's theorem generalizes Condorcet's findings to include non-majoritarian rules like collective leadership or consensus decision-making. While...
    72 KB (6,839 words) - 04:27, 25 July 2025
  • (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...
    652 bytes (122 words) - 05:47, 22 September 2023
  • Dubins–Spanier convexity theorem (the existence of a consensus 1/k-division was previously noted by Jerzy Neyman). However, this theorem says nothing about...
    42 KB (5,997 words) - 07:40, 4 April 2025
  • The Zero Theorem is a 2013 science fiction film directed by Terry Gilliam, starring Christoph Waltz, David Thewlis, Mélanie Thierry and Lucas Hedges....
    27 KB (3,145 words) - 00:22, 4 July 2025
  • Thumbnail for Thévenin's theorem
    stated in terms of direct-current resistive circuits only, Thévenin's theorem states that "Any linear electrical network containing only voltage sources...
    23 KB (2,937 words) - 16:41, 23 May 2025
  • Thumbnail for Kolmogorov complexity
    impossibility results akin to Cantor's diagonal argument, Gödel's incompleteness theorem, and Turing's halting problem. In particular, no program P computing a...
    60 KB (7,896 words) - 07:35, 21 July 2025
  • Thumbnail for Borsuk–Ulam theorem
    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...
    15 KB (2,501 words) - 21:28, 5 June 2025
  • 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,...
    3 KB (461 words) - 03:08, 20 April 2025
  • Thumbnail for Boolean algebra (structure)
    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) ∧...
    49 KB (3,372 words) - 02:25, 17 September 2024
  • Thumbnail for Riemann hypothesis
    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...
    127 KB (16,781 words) - 10:35, 29 July 2025
  • once thought that certain theorems, like the prime number theorem, could only be proved by invoking "higher" mathematical theorems or techniques. However...
    5 KB (623 words) - 20:47, 17 February 2025
  • conjecture (UK: /ˈpwæ̃kæreɪ/, US: /ˌpwæ̃kɑːˈreɪ/, French: [pwɛ̃kaʁe]) is a theorem about the characterization of the 3-sphere, which is the hypersphere that...
    44 KB (5,324 words) - 23:02, 21 July 2025
  • 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...
    9 KB (1,199 words) - 15:43, 11 May 2025
  • Thumbnail for Theory of everything
    Gödel's incompleteness theorem suggests that attempts to construct a theory of everything are bound to fail. Gödel's theorem, informally stated, asserts...
    48 KB (6,013 words) - 18:05, 1 August 2025
  • 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...
    66 KB (7,761 words) - 22:59, 20 July 2025
  • Thumbnail for Majority rule
    conflict"; however, the median voter theorem guarantees that majority-rule will tend to elect "compromise" or "consensus" candidates in many situations, unlike...
    20 KB (1,968 words) - 16:13, 29 July 2025
  • delivery. The Algorand consensus protocol privileges consistency over availability (CAP theorem). If the network is unable to reach consensus over the next step...
    18 KB (1,802 words) - 22:52, 14 July 2025
  • Thumbnail for Standard deviation
    mean − Consensus group mean Consensus group standard deviation {\displaystyle {\text{SDI}}={\frac {{\text{Laboratory mean}}-{\text{Consensus group...
    59 KB (8,278 words) - 02:30, 10 July 2025
  • sentences (theorems) in a formal language Theory, a type of argument in policy debate and Lincoln–Douglas debate Theory (chess), consensus and literature...
    2 KB (320 words) - 07:23, 10 May 2022
  • Thumbnail for Ancient Egypt
    shown on the right. Ancient Egyptian mathematicians knew the Pythagorean theorem as an empirical formula. They were aware, for example, that a triangle...
    138 KB (16,142 words) - 19:16, 1 August 2025
  • five color theorem. The four-color theorem was eventually proved by Kenneth Appel and Wolfgang Haken in 1976. Schröder–Bernstein theorem. In 1896 Schröder...
    36 KB (4,389 words) - 13:07, 14 July 2025
  • 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...
    11 KB (1,740 words) - 04:24, 1 July 2025
  • Łukasziewicz fuzzy logic. A generalization of the classical Gödel completeness theorem is provable in EVŁ. Similar to the way predicate logic is created from...
    55 KB (6,597 words) - 10:19, 20 July 2025
  • Thumbnail for Karl Wilhelm Feuerbach
    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...
    3 KB (209 words) - 11:26, 18 July 2024
  • remain controversial, even though the theorems themselves are not. The oldest and simplest is Condorcet's jury theorem (1785). Aristotle is credited as the...
    36 KB (4,609 words) - 07:09, 24 June 2025