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Part of algebraic geometry devoted to the elimination of variables between polynomials
commutative algebra and algebraic geometry, elimination theory is the classical name for algorithmic approaches to eliminating some variables between polynomials
Elimination_theory
Theorem in algebraic geometry
theorem of elimination theory states that every projective scheme is proper. A version of this theorem predates the existence of scheme theory. It can be
Main theorem of elimination theory
Main_theorem_of_elimination_theory
Japanese mathematician (c. 1642–1708)
way. They concentrated on the study of elimination of variables. In 1683, Seki pushed ahead with elimination theory, based on resultants, in the Kaifukudai
Seki_Takakazu
Topics referred to by the same term
up elimination in Wiktionary, the free dictionary. Elimination may refer to: Elimination (pharmacology), processes by which a drug is eliminated from
Elimination
Simplification technique in mathematical logic
Quantifier elimination is a concept of simplification used in mathematical logic, model theory, and theoretical computer science. Informally, a quantified
Quantifier_elimination
German mathematician (1882–1935)
polynomials could be carried over directly. Traditionally, elimination theory is concerned with eliminating one or more variables from a system of polynomial equations
Emmy_Noether
Distribution theory Dynamical systems theory Elimination theory Ergodic theory Extremal graph theory Field theory Galois theory Game theory Graph theory Group
List_of_mathematical_theories
Branch of algebraic geometry
The theory for varieties is older, with roots in Bézout's theorem on curves and elimination theory. On the other hand, the topological theory more quickly
Intersection_theory
WWE premium live event
Elimination Chamber event and took place on February 18, 2023, at the Bell Centre in Montreal, Quebec, Canada. The event centered on the Elimination Chamber
Elimination_Chamber_(2023)
built (in part). In the second epoch, Noether turned her attention to the theory of rings. With her paper Moduln in nichtkommutativen Bereichen, insbesondere
Emmy_Noether_bibliography
Algorithm for solving systems of linear equations
echelon form is sometimes called Gauss–Jordan elimination. In this case, the term Gaussian elimination refers to the process until it has reached its
Gaussian_elimination
WWE premium live event
The 2026 Elimination Chamber, also promoted as Elimination Chamber: Chicago (known as No Escape: Chicago in Germany), was a professional wrestling premium
Elimination_Chamber_(2026)
Mathematical concept in polynomial theory
Macaulay. It is, along with Gröbner bases, one of the main tools of elimination theory. The resultant of two univariate polynomials A and B is commonly denoted
Resultant
Type of organic chemical reaction
of 3° group towards SN2, only alkene formation by E2 elimination is observed. Thus, elimination by E2 limits the scope of the Williamson ether synthesis
Elimination_reaction
Ability to attribute mental states to oneself and others
philosophy for explaining theory of mind are theory-theory and simulation theory. Theory-theory claims that individuals use "theories" grounded in folk psychology
Theory_of_mind
WWE premium live event
Elimination Chamber event to take place in Saudi Arabia, the first to take place outside of the United States, and it was both the first Elimination Chamber
Elimination_Chamber_(2022)
Argentinean-Swiss mathematician (born 1945)
characteristic. This allowed him and his collaborators to adapt Kronecker's elimination theory to the complexity requirements of modern computer algebra and to prove
Joos_Ulrich_Heintz
Branch of mathematics
basis of elimination theory. Probably because of the size of the computation which is implied by multivariate resultants, elimination theory was forgotten
Algebraic_geometry
of Langlands and Shelstad Fundamental lemma of sieve theory Main theorem of elimination theory List of theorems Toy theorem Apostol, Tom M. (1967), Calculus
List of theorems called fundamental
List_of_theorems_called_fundamental
Mathematical models of strategic interactions
game theory include algorithmic game theory, behavioral game theory, combinatorial game theory, evolutionary game theory, and quantum game theory. In 1994
Game_theory
French mathematician (1730–1783)
published many papers exploring algebraic equations, theory of equations and elimination theory, like the Sur plusieurs classes d'équations de tous les
Étienne_Bézout
American professional wrestler (born 1997)
January 28, 2023, Theory entered at #25, but was eliminated by eventual winner Cody Rhodes. At Elimination Chamber on February 18, Theory successfully defended
Austin_Theory
Philosophical view that some states of mind, as commonly understood, do not exist
Feyerabend often confused two different notions of the sort of elimination that the term "eliminative materialism" entailed. On the one hand, they claimed, the
Eliminative_materialism
Area of mathematical logic
complicated. This makes quantifier elimination a crucial tool for analysing definable sets: A theory T has quantifier elimination if every first-order formula
Model_theory
Professional wrestling match type
The Elimination Chamber is a professional wrestling elimination-based match held in the WWE. The match was created by Triple H, and introduced by Eric
Elimination_Chamber
Quality of a strategy in game theory
in each round as the basis for further elimination. While IEWDS generalizes the process of iterated elimination of strictly dominated strategies (IESDS)
Strategic_dominance
Italian priest and mathematician (1825–1888)
determinant form. However, his work is mainly related to elimination theory and to the theory of elliptic functions. He was the author of about 40 original
Francesco_Faà_di_Bruno
Supposition or system of ideas intended to explain something
theory — Galois theory — Game theory — Gauge theory — Graph theory — Group theory — Hodge theory — Homology theory — Homotopy theory — Ideal theory —
Theory
Far-right antisemitic conspiracy theory
Tinatin (2022-05-13). ""The Kalergi Plan" - A Conspiracy Theory On The Plan About The Elimination Of The White Race". Myth Detector. Retrieved 2025-05-26
Kalergi_Plan
Compiler optimization to remove code which does not affect the program results
In compiler theory, dead-code elimination (DCE, dead-code removal, dead-code stripping, or dead-code strip) is a compiler optimization to remove dead
Dead-code_elimination
Unpleasant emotion experienced when behavioral freedom is threatened
future. A free behavior may be threatened or eliminated by virtue of the elimination (or threat of elimination) of another free behavior; therefore a free
Reactance_(psychology)
Member of the Academia Europaea in 2017. Wang worked on algorithmic elimination theory, geometric reasoning and knowledge management, and applications of
Wang_Dongming_(academic)
Type of triangular sets of polynomial
In mathematics, and more specifically in computer algebra and elimination theory, a regular chain is a particular kind of triangular set of multivariate
Regular_chain
Graph where all long cycles have a chord
if it has a perfect elimination ordering. Rose, Lueker & Tarjan (1976) (see also Habib et al. 2000) show that a perfect elimination ordering of a chordal
Chordal_graph
Elementary group theory the study of the basics of group theory Elimination theory the classical name for algorithmic approaches to eliminating between polynomials
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
Branch of mathematical logic
cut-free. One notion of analyticity is the cut-elimination property: a proof calculus has the cut-elimination property if it has the cut rule, but any provable
Proof_theory
Mathematical construct in computer algebra
The computation of Gröbner bases for an elimination monomial ordering allows computational elimination theory. This is based on the following theorem
Gröbner_basis
WWE premium live event
The 2024 Elimination Chamber, also promoted as Elimination Chamber: Perth (known as No Escape: Perth in Germany), was a professional wrestling premium
Elimination_Chamber_(2024)
Compiler optimization
In compiler theory, common subexpression elimination (CSE) is a compiler optimization that searches for instances of identical expressions (i.e., they
Common subexpression elimination
Common_subexpression_elimination
Concept in model theory
also equivalent to: T* has elimination of quantifiers Any theory with elimination of quantifiers is model complete. The theory of algebraically closed fields
Model_complete_theory
Algebraic study of differential equations
unsatisfactory approach. However, the success of algebraic elimination methods and algebraic manifold theory motivated Ritt to consider a similar approach for
Differential_algebra
volumes, and infinite series. Elimination theory In 1683 (Kai-Fukudai-no-Hō), Seki Kōwa came up with elimination theory, based on resultant. To express
List of Japanese inventions and discoveries
List_of_Japanese_inventions_and_discoveries
Season of television series
nominated for elimination NOM = nominated for elimination OUT = eliminated normally LEFT = withdrew from competition HOSP = eliminated due to hospitalization
Hell's Kitchen (American TV series) season 12
Hell's_Kitchen_(American_TV_series)_season_12
Kind of proof calculus
consistency of number theory. He was unable to prove the main result required for the consistency result, the cut elimination theorem—the Hauptsatz—directly
Natural_deduction
Conspiracy theory about race and culture
theory or great replacement theory, is a debunked white nationalist far-right conspiracy theory coined by French author Renaud Camus. Camus's theory states
Great Replacement conspiracy theory
Great_Replacement_conspiracy_theory
WWE pay-per-view and livestreaming event
competition, including the titular Survivor Series match, a tag team elimination match that pits teams of multiple wrestlers against each other. Seven
Survivor_Series_(2021)
This is a list of notable conspiracy theories. Many conspiracy theories relate to supposed clandestine government plans and elaborate murder plots. They
List_of_conspiracy_theories
WWE premium live event
at #5, after which, Styles eliminated Nakamura. Montez Ford (#6) attempted to eliminate Theory, who prevented elimination. Afterwards, United States Champion
Royal_Rumble_(2022)
Quantifier elimination. Current implementations of decision procedures for the theory of real closed fields are often based on quantifier elimination by cylindrical
Decidability of first-order theories of the real numbers
Decidability_of_first-order_theories_of_the_real_numbers
Mathematical idealization of the trace left by a moving point
curve is said to be a complete intersection. By eliminating variables (by any tool of elimination theory), an algebraic curve may be projected onto a plane
Curve
Mathematical algorithm for eliminating variables from a system of linear inequalities
Fourier–Motzkin elimination, also known as the FME method, is a mathematical algorithm for eliminating variables from a system of linear inequalities.
Fourier–Motzkin_elimination
Commutative algebra studies commutative rings, their ideals, and modules over such rings
differential Elimination theory Gröbner basis Buchberger's algorithm Algebraic number theory Algebraic geometry Ring theory Field theory (mathematics)
List of commutative algebra topics
List_of_commutative_algebra_topics
Basic operation in the Minimalist Program
crash theory: A strong feature that is not checked (and eliminated) in overt syntax causes a derivation to crash at LF. 3. Immediate elimination theory ((Chomsky
Merge_(linguistics)
WWE premium live event
such, WWE official Adam Pearce announced that at Elimination Chamber, there would be an Elimination Chamber match with three wrestlers from Raw and SmackDown
Royal_Rumble_(2023)
Type of reaction in organometallic chemistry
reductive elimination. Additionally, wide ligand bite angles generally accelerate reductive elimination because the sterics force the eliminating groups
Reductive_elimination
Branch of pure mathematics
Number theory is a branch of mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers
Number_theory
American reality television show aired in 2013
face elimination. If both teams fail then nobody is safe from elimination. The judges will determine who leaves the competition. Once eliminated, one
The_Big_Brain_Theory
and elimination rules for each logical connective. Introduction rules describe how to construct a formula of a particular form, while elimination rules
Normal form (natural deduction)
Normal_form_(natural_deduction)
In mathematics, invariant of square matrices
different argument, using fraction-free elimination and cancellation rather than ordinary Gaussian elimination. That argument is not given here. The determinant
Determinant
of an algebraic variety Hilbert's Nullstellensatz Complete variety Elimination theory Gröbner basis Projective variety Quasiprojective variety Canonical
List of algebraic geometry topics
List_of_algebraic_geometry_topics
land-confiscation from whites, organized violence, and eliminationism in majority white countries. Under some theories, black people, non-white Hispanics, South Asians
White genocide conspiracy theory
White_genocide_conspiracy_theory
Theorem in formal logic
logics, and consequently there are many different cut-elimination theorems. Indeed, cut-elimination is such an important genre of theorems in logic, that
Cut-elimination_theorem
Fundamental result of mathematical logic
completeness of cut-free sequent calculus, which follows from Gentzen's cut-elimination theorem, there is a cut-free proof of ⊢ ( ∃ y 1 , … , y n ) F ( y 1
Herbrand's_theorem
(and similarly for uniform elimination). ZFC set theory has elimination of imaginaries. Peano arithmetic has uniform elimination of imaginaries. A vector
Imaginary_element
Type of set in abstract algebra
(g_{1}))\right)\cap \left({\frac {1}{g_{2}}}(I\cap (g_{2}))\right)} Then elimination theory can be used to calculate the intersection of I {\displaystyle I} with
Ideal_quotient
Change in the heritable traits of populations
biodiversity at every level of biological organisation. The scientific theory of evolution by natural selection was conceived independently by two British
Evolution
Hungarian mathematician
mathematical fields. His work on polynomial ideals, discriminants and elimination theory can be considered as a link between Leopold Kronecker and David Hilbert
Gyula_Kőnig
transformation Tschirnhaus transformation Galois theory Discriminant of a polynomial Resultant Elimination theory Gröbner basis Regular chain Triangular decomposition
List_of_polynomial_topics
Greek mathematician and university professor (1857–1917)
from the Sorbonne in 1880. His dissertation was On the Theory of Binary Forms and Elimination (Sur la Theorie des Formes Binaires et sur l'Elimination)
Cyparissos_Stephanos
Canadian philosopher and psychologist
personality, or bodily continuity. The no-self theory, however, is an eliminative theory. That is, it eliminates the idea of personal identity altogether.
James_Giles_(philosopher)
générale des équations algébriques in Paris, containing original work on elimination theory. Jean-Paul Marat publishes Découvertes de M. Marat sur le feu, l'électricité
1779_in_science
Allowing self-care so far as possible
self-care deficit nursing theory is a grand nursing theory that was developed between 1959 and 2001 by Dorothea Orem. The theory is also referred to as the
Self-care deficit nursing theory
Self-care_deficit_nursing_theory
From an exceptional automorphism of a Dynkin diagram
Bombieri used elimination theory to show that Thompson's conditions implied that σ2 = 3 in all but 178 small cases, that were eliminated using a computer
Ree_group
Type of sports competition
usually in turn. A round-robin contrasts with an elimination tournament, where participants are eliminated after a certain number of wins or losses, as well
Round-robin_tournament
Mathematical theory of data types
In mathematical logic, and theoretical computer science, type theory is the study of formal systems that classify expressions or mathematical objects by
Type_theory
systematic techniques to handle these cases. The subject also grew out of elimination theory in its classical form, in which reduction modulo I is supposed to
Homogeneous_coordinate_ring
American reality competition television series
The teams competed in a non-elimination challenge for a competition power. The team competed in the elimination challenge and won, advancing to
Kicking & Screaming (TV series)
Kicking_&_Screaming_(TV_series)
discovers the resultant and determinant. 1683—Seki Takakazu develops elimination theory. 1691—Gottfried Leibniz discovers the technique of separation of variables
Timeline_of_mathematics
Theory of gravitation as curved spacetime
relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the geometric theory of gravitation published by Albert
General_relativity
3-dimensional geometric figure
polyhedra homeomorphic to a sphere by I. Kh. Sabitov (1995) using elimination theory, and then proved for general orientable 2-dimensional polyhedral surfaces
Flexible_polyhedron
iterated elimination of dominated strategies), which can deviate considerably from actual experimental outcomes. Level-k theory is a competing theory to Cognitive
Cognitive_hierarchy_theory
Idea in psychoanalysis
In classical psychoanalytic theory, the Oedipus complex is a son's sexual desire for his mother and concomitant hostility toward his father, first formed
Oedipus_complex
Property involving two mathematical operations
and the lattice is called distributive. See also Distributivity (order theory). A Boolean algebra can be interpreted either as a special kind of ring
Distributive_property
Logical paradox in decision-making theory
Either way, philosopher John Rawls concludes differently in his 1971 A Theory of Justice, stating that a just society must tolerate the intolerant, for
Paradox_of_tolerance
Criminological theory
In criminology, the broken windows theory states that visible signs of crime, antisocial behavior and civil disorder create an urban environment that encourages
Broken_windows_theory
Theoretical framework in physics
In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines field theory, special relativity and quantum mechanics. QFT
Quantum_field_theory
WWE premium live event
added Rhodes to an Elimination Chamber qualifying match for the next episode, which should he win would add him to the men's Elimination Chamber match, but
Royal_Rumble_(2026)
Conspiracy theory of reptilian humanoids
a prominent role in fantasy, science fiction, ufology, and conspiracy theories. The idea of reptilians was popularised by David Icke, a conspiracy theorist
Reptilian_conspiracy_theory
Psychological theory of motivation
The two-factor theory (also known as motivation–hygiene theory, motivator–hygiene theory, and dual-factor theory) states that there are certain factors
Two-factor_theory
Type of infinite structure
In mathematical logic, and more specifically in model theory, an infinite structure ( M , < , … ) {\displaystyle (M,<,\dots )} that is totally ordered
O-minimal_theory
Quantified formulas with real-number variables
complexity than Alfred Tarski's quantifier elimination procedure for deciding statements in the first-order theory of the reals without the restriction to
Existential theory of the reals
Existential_theory_of_the_reals
Mathematical use of "there exists"
sub-derivation with that conclusion. The reasoning behind existential elimination (∃E) is as follows: If it is given that there exists an element for which
Existential_quantification
American actor and model (born 1988)
Potter as guest stars on an episode of the television series The Big Bang Theory in 2008 and by themself in a different role in 2015. Tipton played a babysitter
Lio_Tipton
2026 WWE premium live event
that if he lost, he would leave WWE. At Elimination Chamber, SmackDown's Randy Orton won the men's Elimination Chamber match to earn a title match for
WrestleMania_42
Mental phenomenon of holding contradictory beliefs
or when new information challenges existing beliefs. According to this theory, when an action or idea is psychologically inconsistent with the other,
Cognitive_dissonance
Algorithm in theoretical computer science
languages. Alternative presentations of the same method include the "elimination method" attributed to Brzozowski and McCluskey, the algorithm of McNaughton
Kleene's_algorithm
Fine motor skills used to entertain or manipulate
physical contact or within 3 to 4 m (10 to 13 ft). This close contact eliminates theories of fake audience members and the use of gimmicks. It makes use of
Sleight_of_hand
Non-contradiction of a theory
In deductive logic, a consistent theory is one that does not lead to a logical contradiction. A theory T {\displaystyle T} is consistent if there is no
Consistency
Theory that discusses human intelligence from an epistemological perspective
Piaget's theory of cognitive development, or his genetic epistemology, is a comprehensive theory about the nature and development of human intelligence
Piaget's theory of cognitive development
Piaget's_theory_of_cognitive_development
German-born theoretical physicist (1879–1955)
physicist best known for developing the theory of relativity. Einstein also made important contributions to quantum theory. His mass–energy equivalence formula
Albert_Einstein
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