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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
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
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
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
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
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
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
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 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
Sums vector sets A and B by adding each vector in A to each vector in B
Blaschke sum – Polytope combining two smaller polytopes Brunn–Minkowski theorem – Theorem in geometry, an inequality on the volumes of Minkowski sums Convolution –
Minkowski_addition
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
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
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
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)
Decision rule that selects alternatives that 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
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
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
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
23 mathematical problems stated in 1900
10, 11, 14, 17, 18, 19, and 21 have resolutions that are accepted by consensus of the mathematical community. The status of problems 1, 2, 5, 6b, 8c
Hilbert's_problems
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
convexity part of the DS theorem implies that: If all value measures are countably-additive and nonatomic, then a consensus partition exists. PROOF: For
Dubins–Spanier_theorems
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)
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
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
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
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
Set of pairwise sums of elements of two sets
can be phrased in terms of sumsets. For example, Lagrange's four-square theorem can be written succinctly in the form 4 ◻ = N , {\displaystyle 4\,\Box
Sumset
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 of complex
Augustin-Louis_Cauchy
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
Election result affecting losing candidate
situations, called cyclic ties. Rated voting systems are not subject to Arrow's theorem, allowing them to be spoilerproof so long as voters' ratings are consistent
Spoiler_effect
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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)
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
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
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
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
Datum or structured component of reality
mid-20th century), according to Paul Boghossian, the Enlightenment-era consensus justified true belief definition of knowledge in which knowledge encompasses
Fact
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
Relational database which stores data across multiple servers
Distributed SQL databases typically use the Paxos or Raft algorithms to achieve consensus across multiple nodes. Sometimes distributed SQL databases are referred
Distributed_SQL
2005 film by John Madden
Since 1993 (when Andrew Wiles first claimed to have proven Fermat's Last Theorem), there have been several feature films about mathematicians, notably Good
Proof_(2005_film)
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
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
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
American expression about belief and existence
Anthropocentrism Consensus reality Constructivist epistemology Conventional wisdom Feedback loop Reification (fallacy) Self-fulfilling prophecy Thomas theorem Tulpa
Tinkerbell_effect
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
2002 book by George Tsebelis
governments are veto players. Further the prediction of veto player theory that consensus democracy is inflexible hasn't been confirmed. Tsebelis, G.: Veto Players:
Veto_Players
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
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
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
Type of political system
Theory Measuring / Indices / Rankings Types Anticipatory Athenian Cellular Consensus Conservative Cosmopolitan Defensive Deliberative Direct Economic Electronic
Defective_democracy
Scientific field of study
and is often critical in forensic investigations. With the standard consensus that the laws of physics are universal and do not change with time, physics
Physics
Measure of the state of democracy according to The Economist
Theory Measuring / Indices / Rankings Types Anticipatory Athenian Cellular Consensus Conservative Cosmopolitan Defensive Deliberative Direct Economic Electronic
The_Economist_Democracy_Index
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
Political theory
Theory Measuring / Indices / Rankings Types Anticipatory Athenian Cellular Consensus Conservative Cosmopolitan Defensive Deliberative Direct Economic Electronic
Associationalism
Rejection of radical or extreme political views
Centre-left politics Centre-right politics Independent voter Median voter theorem Moderate Democrats Moderate conservatism Moderate Party (disambiguation)
Political_moderate
Number of independent rational basis points with infinite order
field of rational numbers or more generally a number field K. Mordell's theorem (generalized to arbitrary number fields by André Weil) says the group of
Rank_of_an_elliptic_curve
Theory Measuring / Indices / Rankings Types Anticipatory Athenian Cellular Consensus Conservative Cosmopolitan Defensive Deliberative Direct Economic Electronic
Democracy_in_Africa
Central limit theorem Central limit theorem (illustration) – redirects to Illustration of the central limit theorem Central limit theorem for directional
List_of_statistics_articles
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)
Capacity of a country to withstand or recover from democratic backsliding
Theory Measuring / Indices / Rankings Types Anticipatory Athenian Cellular Consensus Conservative Cosmopolitan Defensive Deliberative Direct Economic Electronic
Democratic_resilience
the turn of the twentieth century, the proof of Gödel's incompleteness theorems and the development of the Church–Turing thesis in the early part of that
Theories_of_truth
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
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
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
Male
English
 Variant spelling of German Konrad, CONRAD means "bold counsel." In use by the English.
Boy/Male
American, Australian, Chinese, French, Latin, Spanish
Loving Deity; Loved by God; Beloved
Boy/Male
British, English, Scandinavian
At the Cross
Boy/Male
Hindu, Indian, Traditional
Protected by Indra
Girl/Female
Australian, Indonesian, Japanese, Malaysian
Beautiful
Girl/Female
Tamil
Self control having complete control on all the senses
Boy/Male
Celtic English
White.
Girl/Female
Latin
Worthy.
Girl/Female
German
Will-helmet
Boy/Male
Hindu
Modest
CONSENSUS THEOREM
CONSENSUS THEOREM
CONSENSUS THEOREM
CONSENSUS THEOREM
CONSENSUS THEOREM
n.
Agreement; accord; consent.
v. i.
Existing, or made, by the mutual consent of two or more parties.
v. t.
To formulate into a theorem.
n.
A numerical coefficient in any particular case of the binomial theorem.
n.
The ring which turns inward and condenses the flame of a lamp.
a.
Of or pertaining to a theorem or theorems; comprised in a theorem; consisting of theorems.
n.
One who constructs theorems.
a.
Agreeing in sound; symphonious.
a.
One who consents.
v. i.
Excited or caused by sensation, sympathy, or reflex action, and not by conscious volition; as, consensual motions.
n.
A statement of a principle to be demonstrated.
n.
That which is considered and established as a principle; hence, sometimes, a rule.
a.
Theorematic.
n.
The enunciation of a self-evident problem, in distinction from an axiom, which is the enunciation of a self-evident theorem.
n.
A theorem or proposition so easy of demonstration as to be almost self-evident.
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.
a.
Alt. of Theorematical
a.
Containing many names or terms; multinominal; as, the polynomial theorem.
n.
One who, or that which, condenses.