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Theorem in Boolean algebra
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
Consensus_theorem
Topics referred to by the same term
an identity in Boolean algebra. Consensus or resolvent term, defined in the consensus theorem. Scientific consensus, the collective opinion, judgment
Consensus
Concept in computer science
coordinating processes to reach consensus, or agree on some data value that is needed during computation. Example applications of consensus include agreeing on what
Consensus_(computer_science)
Form of government
Minoritarianism Median voter theorem Open source governance Types of democracy McGann, Anthony J.; Latner, Michael (2013). "The Calculus of Consensus Democracy". Comparative
Consensus_democracy
Relation between sides of a right triangle
In mathematics, the Pythagorean theorem or Pythagoras's theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle
Pythagorean_theorem
In mathematics, a statement that has been proven
mathematics and formal logic, a theorem is a statement that has been proven, or can be proven. The proof of a theorem is a logical argument that uses
Theorem
Proof all ranked voting rules have spoilers
majority rule; Arrow's theorem generalizes Condorcet's findings to include non-majoritarian rules like collective leadership or consensus decision-making. While
Arrow's_impossibility_theorem
Topics referred to by the same term
(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
Resolvent
2013 film by Terry Gilliam
The Zero Theorem is a 2013 science fiction film directed by Terry Gilliam, starring Christoph Waltz, David Thewlis, Mélanie Thierry and Lucas Hedges.
The_Zero_Theorem
graph Logic gate Boolean analysis Boolean prime ideal theorem Compactness theorem Consensus theorem De Morgan's laws Duality (order theory) Laws of classical
List of Boolean algebra topics
List_of_Boolean_algebra_topics
Theorem in electrical circuit analysis
have been given of Thévenin's theorem. Perhaps the simplest of these was the proof in Thévenin's original paper. A consensus exists that Thévenin's proof
Thévenin's_theorem
Theorem in topology
Informally, the Borsuk–Ulam theorem states that, for a "balloon animal" (or any arbitrarily distorted shape) made out of a spherical balloon, and then
Borsuk–Ulam_theorem
Type of fair division
Dubins–Spanier convexity theorem (the existence of a consensus 1/k-division was previously noted by Jerzy Neyman). However, this theorem says nothing about
Consensus_splitting
Conjecture on zeros of the zeta function
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
Riemann_hypothesis
Decision rule that selects alternatives which have a majority
conflict"; however, the median voter theorem guarantees that majority-rule will tend to elect "compromise" or "consensus" candidates in many situations, unlike
Majority_rule
Theorem in game theory
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
Aumann's_agreement_theorem
Necklace splitting problem
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,
Hobby–Rice_theorem
Theorem in geometric topology
conjecture (UK: /ˈpwæ̃kæreɪ/, US: /ˌpwæ̃kɑːˈreɪ/, French: [pwɛ̃kaʁe]) is a theorem about the characterization of the 3-sphere (the hypersphere that bounds
Poincaré_conjecture
Algebraic structure modeling logical operations
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) ∧
Boolean_algebra_(structure)
Proof that only uses basic techniques
once thought that certain theorems, like the prime number theorem, could only be proved by invoking "higher" mathematical theorems or techniques. However
Elementary_proof
23 mathematical problems stated in 1900
with any algebraic numerical coefficients. 12. Extensions of Kronecker's theorem on Abelian fields to any algebraic realm of rationality. 13. Impossibility
Hilbert's_problems
Topics referred to by the same term
Theory (mathematical logic), a set of sentences (theorems) in a formal language Chess theory, consensus and literature on how the game should be played
Theory_(disambiguation)
Measure of algorithmic 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
Kolmogorov_complexity
Measure theory theorems
The Dubins–Spanier theorems are several theorems in the theory of fair cake-cutting. They were published by Lester Dubins and Edwin Spanier in 1961. Although
Dubins–Spanier_theorems
Russian mathematician (born 1966)
Polikanova, he established a measure-theoretic formulation of Helly's theorem.[PP86] In 1987, the year he began graduate studies, he published an article
Grigori_Perelman
French mathematician (1789–1857)
physicist. He was one of the first to rigorously state and prove the key theorems of calculus (thereby creating real analysis), pioneered the field complex
Augustin-Louis_Cauchy
Fallacy of claiming the majority is always correct
of the Chinese people Kayfabe List of fallacies Median voter theorem Scientific consensus Social proof Wisdom of the crowd These ideas are paraphrased
Argumentum_ad_populum
Collective perception of a group of people
remain controversial, even though the theorems themselves are not. The oldest and simplest is Condorcet's jury theorem (1785). Aristotle is credited as the
Wisdom_of_the_crowd
Field of knowledge
and proof to study and establish their properties, often expressed as theorems, formulas, and equations. Mathematics is used to model and solve problems
Mathematics
American physicist (born 1942)
Freedman, he carried out the first experimental test of the CHSH-Bell's theorem predictions. This was the first experimental observation of a violation
John_Clauser
Claim that human mathematicians are not describable as formal proof systems
theorem for computational theories of human intelligence was criticized by mathematicians, computer scientists, and philosophers, and the consensus among
Penrose–Lucas_argument
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
List of inventions and discoveries by women
List_of_inventions_and_discoveries_by_women
Mathematical expression with disputed status
is necessary for many polynomial identities. For example, the binomial theorem ( 1 + x ) n = ∑ k = 0 n ( n k ) x k {\textstyle (1+x)^{n}=\sum _{k=0}^{n}{\binom
Zero_to_the_power_of_zero
Family of probability distributions
al proved a theorem that specifies the asymptotic behaviour of variance functions known as the Tweedie convergence theorem. This theorem, in technical
Tweedie_distribution
Basic framework of mathematics
generating self-contradictory theories, and to have reliable concepts of theorems, proofs, algorithms, etc. in particular. This may also include the philosophical
Foundations_of_mathematics
Political philosophy
judicial review Majoritarian democracy – Form of government Median voter theorem – Theorem in political science Minoritarianism – Primacy of a minority in decision-making
Majoritarianism
Shape with six sides
Conway criterion will tile the plane. Pascal's theorem (also known as the "Hexagrammum Mysticum Theorem") states that if an arbitrary hexagon is inscribed
Hexagon
Problem book in mathematical analysis
Problems and Theorems in Analysis (German: Aufgaben und Lehrsätze aus der Analysis) is a two-volume problem book in analysis by George Pólya and Gábor
Problems and Theorems in Analysis
Problems_and_Theorems_in_Analysis
The Stromquist–Woodall theorem is a theorem in fair division and measure theory. Informally, it says that, for any cake, for any n people with different
Stromquist–Woodall_theorem
Weller's theorem is a theorem in economics. It says that a heterogeneous resource ("cake") can be divided among n partners with different valuations in
Weller's_theorem
whether computers could calculate such possibilities; Gödel's incompleteness theorems; in 1974 the Arecibo Ionospheric Observatory found the Hulse–Taylor binary
List_of_Equinox_episodes
Country in South Asia
BCE) contain the earliest extant verbal expression of the Pythagorean theorem (although very likely it had been known to the Old Babylonians.) All mathematical
India
Skeletonized version of algebraic geometry
generalize classical results from algebraic geometry, such as the Brill–Noether theorem or computing Gromov–Witten invariants, using the tools of tropical geometry
Tropical_geometry
Blockchain and cryptocurrency
protocol privileges consistency over availability (CAP theorem). If the network is unable to reach consensus over the next step (or block), within a certain
Algorand
Major surges of democracy in history
Theory Measuring / Indices / Rankings Types Anticipatory Athenian Cellular Consensus Conservative Cosmopolitan Defensive Deliberative Direct Economic Electronic
Waves_of_democracy
Consistency of the axioms of arithmetic
theoretic ordinal. While the theorems of Gödel and Gentzen are now well understood by the mathematical logic community, no consensus has formed on whether (or
Hilbert's_second_problem
Intelligence of machines
Nilsson (1998, chpt. 3.3) Universal approximation theorem: Russell & Norvig (2021, p. 752) The theorem: Cybenko (1988), Hornik, Stinchcombe & White (1989)
Artificial_intelligence
Complexity class
problems are thus, in a sense, the hardest problems in NP. The Cook–Levin theorem states that the Boolean satisfiability problem is NP-complete, establishing
NP-completeness
Law of physics and chemistry
principle, the conservation of energy can be rigorously proven by Noether's theorem as a consequence of continuous time translation symmetry; that is, from
Conservation_of_energy
Topic in comparative religion
the Fundamental Fysiks Group circulated speculative readings of Bell's theorem, nonlocality and "information" at the interface of counterculture, parapsychology
Western esotericism and Eastern religions
Western_esotericism_and_Eastern_religions
Every graph has evenly many odd vertices
vertices and odd ends, added together, is either even or infinite. By a theorem of Gallai the vertices of any graph can be partitioned as V = V e ∪ V o
Handshaking_lemma
Overuse of a shared resource
the individuals concerned may be able to achieve mutual restraint by consensus. Others have contended that the metaphor of a common pasture is inapposite
Tragedy_of_the_commons
Chinese-American mathematician (born 1949)
partial differential equations, the Calabi conjecture, the positive energy theorem, and the Monge–Ampère equation. Yau is considered one of the major contributors
Shing-Tung_Yau
Nondeterministic Newtonian mechanical system
the particle's trajectory—this allows evasion of the local uniqueness theorem for solutions of ordinary differential equations), or in violation of the
Norton's_dome
Randomly selected people to deliberate on public issues
citizens' jury, citizens' panel, people's panel, people's jury, policy jury, consensus conference and citizens' convention. A citizens' assembly uses elements
Citizens'_assembly
Government system where political power lies with the people
in preferences between elites and voters. According to the median voter theorem the political representativeness can be evaluated by comparing how close
Democracy
Application of mathematical and statistical methods in finance
Financial modeling; Asset pricing. The fundamental theorem of arbitrage-free pricing is one of the key theorems in mathematical finance, while the Black–Scholes
Mathematical_finance
Hypothetical physical concept
Gödel's incompleteness theorem suggests that attempts to construct a theory of everything are bound to fail. Gödel's theorem, informally stated, asserts
Theory_of_everything
English mathematician, mathematical physicist (born 1931)
Prize in Physics with Stephen Hawking for the Penrose–Hawking singularity theorems, and the 2020 Nobel Prize in Physics "for the discovery that black hole
Roger_Penrose
Field of economics to evaluate well-being
Arrow's impossibility theorem which is closely related to social choice theory, is sometimes considered a third fundamental theorem of welfare economics
Welfare_economics
five color theorem. The four-color theorem was eventually proved by Kenneth Appel and Wolfgang Haken in 1976. Schröder–Bernstein theorem. In 1896 Schröder
List_of_incomplete_proofs
Pythagoras was not the first to discover what is now called the Pythagorean theorem, as it was known and used by the Babylonians and Indians centuries before
List of common misconceptions about science, technology, and mathematics
List_of_common_misconceptions_about_science,_technology,_and_mathematics
Overview of and topical guide to algorithms
equation often used to analyze recursive algorithms Master theorem (analysis of algorithms) — theorem for solving many divide-and-conquer recurrences Brute-force
Outline_of_algorithms
Electoral systems with independent candidate ratings
impossibility theorem, a theorem on the limitations of ranked-choice voting Gibbard's theorem, a generalization of the Gibbard-Satterthwaite theorem applicable
Rated_voting
Erroneous AI-generated content
forces in their vicinity". (In reality, as a consequence of the no-hair theorem, a black hole without an accretion disk is believed to have no magnetic
Hallucination (artificial intelligence)
Hallucination_(artificial_intelligence)
Inference rule in logic, proof theory, and automated theorem proving
mathematical logic and automated theorem proving, resolution is a rule of inference leading to a refutation-complete theorem-proving technique for sentences
Resolution_(logic)
Logic error due to ignoring the base rate
or liability that are not analyzable as errors in base rates or Bayes's theorem. An example of the base rate fallacy is the false positive paradox (also
Base_rate_fallacy
Formal language used to prove statements
that can be employed to prove theorems from axioms and theorems. Axioms: Formulas in L assumed to be valid. All theorems are derived from axioms. A formal
Proof_calculus
1995 film by Terry Gilliam
Theorem in 2013, claims were made that Gilliam had meant it as part of a trilogy. A 2013 review for The Guardian said, "Calling it [The Zero Theorem]
12_Monkeys
Type of democracy that advocates the radical extension of equality and liberty
liberal democracy and deliberative democracy, in their attempts to build consensus, oppress differing opinions, races, classes, genders, and worldviews.
Radical_democracy
American computer scientist (born 1946)
winner, 2014 SL (complexity) Take-grant protection model Planar separator theorem Richard Lipton at the Mathematics Genealogy Project Lipton, R (1975) "Reduction:
Richard_Lipton
2023 film by Emerald Fennell
herself. Other critics have found similarities to Pier Paolo Pasolini's film Theorem (1968) and Stanley Kubrick's Barry Lyndon (1975), which also addressed
Saltburn_(film)
Nonparametric measure of rank correlation
confidence interval with level α {\displaystyle \alpha } is based on a Wilks' theorem given in the latter paper, and is given by { θ : { ∑ i = 1 n ( Z i − θ
Spearman's rank correlation coefficient
Spearman's_rank_correlation_coefficient
Political ideologies favouring social equality and egalitarianism
Wingnut Models Horseshoe theory Left–right political spectrum Median voter theorem Nolan Chart Overton window Open–closed political spectrum Pournelle chart
Left-wing_politics
Mathematical theory
probability distribution from which x is sampled, the universal prior and Bayes' theorem can be used to predict the yet unseen parts of x in optimal fashion. The
Solomonoff's theory of inductive inference
Solomonoff's_theory_of_inductive_inference
French general and emperor (1769–1821)
name, there does not appear to be a connection between him and Napoleon's theorem. This is depicted in Bonaparte Crossing the Alps by Hippolyte Delaroche
Napoleon
2013 film by Neill Blomkamp
Zero Theorem". Vulture. Retrieved May 2, 2023. Eisenberg, Eric (October 10, 2012). "Matt Damon Takes A Small Part In Terry Gilliam's The Zero Theorem". Cinema
Elysium_(film)
2013 film by Bong Joon Ho
on 267 reviews with an average score of 8.1/10. The website's critical consensus states, "Snowpiercer offers an audaciously ambitious action spectacle
Snowpiercer
Fringe theory claiming that Jesus did not exist
only facts of his life about which a broad consensus exists. Beyond that, mainstream scholars have no consensus about the historicity of other major aspects
Christ_myth_theory
Voting requirement above 50% for passage
clauses, commonly require supermajority support in a legislature. In consensus democracy, the supermajority rule is applied in most cases. The first
Supermajority
Relational database which stores data across multiple servers
underlying key–value storage native SQL implementation Following the CAP Theorem, distributed SQL databases are "CP" or consistent and partition-tolerant
Distributed_SQL
Mathematical problem
19. Simmons, Forest W.; Su, Francis Edward (February 2003). "Consensus-halving via theorems of Borsuk-Ulam and Tucker". Mathematical Social Sciences. 45
Necklace_splitting_problem
Selection of decision-makers by random sample
of the best individual problem solvers. This "diversity trumps ability theorem" is central to the arguments for sortition. Some argue that randomly-allocating
Sortition
Form of government
upon a principle of majority rule. Majoritarian democracy contrasts with consensus democracy, rule by as many people as possible. Arend Lijphart offers what
Majoritarian_democracy
Economics between nation states
to derive further theorems.[citation needed] The Stolper–Samuelson theorem, which is often described as a corollary of the H–O theorem, was an early example
International_economics
Philosophical thought experiment
Zermelo bolstered his theory by pointing out that the Poincaré recurrence theorem shows statistical entropy in a closed system must eventually be a periodic
Boltzmann_brain
English theoretical physicist (1942–2018)
included a collaboration with Roger Penrose on gravitational singularity theorems in the framework of general relativity, and the theoretical prediction
Stephen_Hawking
Methods in artificial intelligence research
systems (in particular, expert systems), symbolic mathematics, automated theorem provers, ontologies, the semantic web, and automated planning and scheduling
Symbolic artificial intelligence
Symbolic_artificial_intelligence
Compact astronomical body
physicists to produce a body of work that became known as the no-hair theorem, which states that a stationary black hole is completely described by the
Black_hole
Theory of a quantum origin of consciousness
criticisms focus on three issues: Penrose's interpretation of Gödel's theorem; Penrose's abductive reasoning, linking non-computability to quantum events;
Orchestrated objective reduction
Orchestrated_objective_reduction
Theories about the end of the universe
spontaneous entropy decrease by the Poincaré recurrence theorem, thermal fluctuations, and the fluctuation theorem. The heat death scenario is compatible with any
Ultimate_fate_of_the_universe
Ecological theory
northwestern Europe. Vera, however, was the first to develop a comprehensive theorem to explain why forest did not dominate even in the Holocene, and to thus
Wood-pasture_hypothesis
Math theorem about sphere packing
17th-century mathematician and astronomer Johannes Kepler, is a mathematical theorem about sphere packing in three-dimensional Euclidean space. It states that
Kepler_conjecture
Measure of variation in statistics
is at least as much as given in the following table. The central limit theorem states that the distribution of an average of many independent, identically
Standard_deviation
Andalusian philosopher and mathematician
Menelaus of Alexandria, whose treatise the Spherics included Menelaus' theorem, still a basic tool for solving spherical geometry problems in Al-Jayyānī's
Ibn_Mu'adh_al-Jayyani
Observation that perception requires more computation than reasoning
challenging", such as chess, symbolic integration, proving mathematical theorems and solving complicated word algebra problems. "The things that children
Moravec's_paradox
1936–1938 campaign in the Soviet Union
contributions to abstract algebra, he contributed to the Herglotz–Noether theorem in special relativity. Albert Einstein futilely pleaded his case before
Great_Purge
East Asian ethnic group
numbers or a prime number and a semiprime, a concept now known as Chen's theorem. The 1978 Wolf Prize in Physics inaugural recipient and physicist Chien-Shiung
Han_Chinese
1995 US criminal trial
disclosed the hoax. The trial provided an example of incorrect use of Bayes theorem in the courtroom that is used in statistics courses around the world. O
Murder_trial_of_O._J._Simpson
important for his work in pure mathematics, having authored a number of theorems. Frank Wilczek (born 1951): American theoretical physicist. Along with
List_of_agnostics
CONSENSUS THEOREM
CONSENSUS THEOREM
Surname or Lastname
English
English : from Middle English, Old French convers ‘convert’ (Latin conversus, past participle of convertere ‘to turn’), hence a nickname for a Jew converted to Christianity, or more often an occupational name for someone converted to the religious way of life, a lay member of a convent.
CONSENSUS THEOREM
CONSENSUS THEOREM
Girl/Female
Biblical
Displeasing, dirty.
Boy/Male
Arabic, Muslim
Servant of Allah
Boy/Male
Irish
Serves Saint Ruadhan.
Boy/Male
British, English
From the Flat Meadow
Girl/Female
Indian, Punjabi, Sikh
Dispelled
Girl/Female
Tamil
Welfare, Prosperity
Boy/Male
Hindu, Indian, Malayalam, Marathi, Sanskrit, Tamil
Rising; Born Under the Sandalwood Tree; Lord Vishnu
Boy/Male
Muslim
Paradise, Heaven, Garden
Surname or Lastname
German
German : from a short form of a Germanic personal name similar to Dietrich.English : variant spelling of Tagg.
Boy/Male
Indian, Sanskrit
Born from the Earth
CONSENSUS THEOREM
CONSENSUS THEOREM
CONSENSUS THEOREM
CONSENSUS THEOREM
CONSENSUS THEOREM
n.
Agreement; accord; consent.
n.
A statement of a principle to be demonstrated.
v. t.
To formulate into a theorem.
n.
That which is considered and established as a principle; hence, sometimes, a rule.
n.
A numerical coefficient in any particular case of the binomial theorem.
a.
One who consents.
a.
Theorematic.
a.
Alt. of Theorematical
n.
A theorem or proposition so easy of demonstration as to be almost self-evident.
v. i.
Existing, or made, by the mutual consent of two or more parties.
a.
Agreeing in sound; symphonious.
n.
The ring which turns inward and condenses the flame of a lamp.
v. i.
Excited or caused by sensation, sympathy, or reflex action, and not by conscious volition; as, consensual motions.
n.
The enunciation of a self-evident problem, in distinction from an axiom, which is the enunciation of a self-evident theorem.
a.
Of or pertaining to a theorem or theorems; comprised in a theorem; consisting of theorems.
a.
Containing many names or terms; multinominal; as, the polynomial theorem.
n.
One who constructs theorems.
n.
The act of a feudatory, vassal, or tenant, by which he consents, upon the alienation of an estate, to receive a new lord or superior, and transfers to him his homage and service; the agreement of a tenant to acknowledge the purchaser of the estate as his landlord.
n.
One who, or that which, condenses.