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THREE GAP-THEOREM

  • Three-gap theorem
  • On distances between points on a circle

    In mathematics, the three-gap theorem, three-distance theorem, or Steinhaus conjecture states that if one places n {\displaystyle n} points on a circle

    Three-gap theorem

    Three-gap_theorem

  • Stanisław Świerczkowski
  • Polish mathematician (1932–2015)

    to two iconic problems posed by Hugo Steinhaus: the three-gap theorem and the non-tetratorus theorem. Stanisław (Stash) Świerczkowski was born in Toruń

    Stanisław Świerczkowski

    Stanisław_Świerczkowski

  • Equidistribution theorem
  • Integer multiples of any irrational mod 1 are uniformly distributed on the circle

    approximation Low-discrepancy sequence Dirichlet's approximation theorem Three-gap theorem P. Bohl, (1909) Über ein in der Theorie der säkularen Störungen

    Equidistribution theorem

    Equidistribution theorem

    Equidistribution_theorem

  • List of inventions and discoveries by women
  • has been credited to Danish statistician Kirstine Smith. Three-gap theorem The three-gap theorem states that if one places n points on a circle, at angles

    List of inventions and discoveries by women

    List_of_inventions_and_discoveries_by_women

  • Vera T. Sós
  • Hungarian mathematician (1930–2023)

    vertex is joined to all others. In number theory, Sós proved the three-gap theorem, conjectured by Hugo Steinhaus and proved independently by Stanisław

    Vera T. Sós

    Vera T. Sós

    Vera_T._Sós

  • Phyllotaxis
  • Arrangement of leaves on the stem of a plant

    morphology L-system Orixa japonica Parastichy Plastochron Repulsion theory Three-gap theorem Sphere packing in a cylinder φύλλον, τάξις. Liddell, Henry George;

    Phyllotaxis

    Phyllotaxis

    Phyllotaxis

  • Generated collection
  • developments of the concept. For instance, the three-gap theorem implies that every generated collection has at most three different steps, the intervals between

    Generated collection

    Generated collection

    Generated_collection

  • Theorem of the three geodesics
  • Existence of geodesic circles on surfaces

    In differential geometry the theorem of the three geodesics, also known as Lyusternik–Schnirelmann theorem, states that every Riemannian manifold with

    Theorem of the three geodesics

    Theorem_of_the_three_geodesics

  • Weierstrass point
  • Point on a nonsingular algebraic curve

    higher number. (The Weierstrass gap theorem or Lückensatz is the statement that there must be g {\displaystyle g} gaps.) For hyperelliptic curves, for

    Weierstrass point

    Weierstrass_point

  • Sturmian word
  • Kind of infinitely long sequence of characters

    frequency. The three-gap theorem implies that the factors of fixed length n have at most three distinct frequencies, and if there are three values then one

    Sturmian word

    Sturmian word

    Sturmian_word

  • Fermat's Last Theorem
  • 17th-century conjecture proved by Andrew Wiles in 1994

    Theorem was proved for three odd prime exponents p = 3, 5 and 7. In 1770, Leonhard Euler gave a proof of p = 3, but his proof contained a major gap.

    Fermat's Last Theorem

    Fermat's Last Theorem

    Fermat's_Last_Theorem

  • Rayleigh theorem for eigenvalues
  • is a band gap, if any, as opposed to energy gap. Given the diverse contributions of Lord Rayleigh, his name is associated with other theorems, including

    Rayleigh theorem for eigenvalues

    Rayleigh_theorem_for_eigenvalues

  • Stokes' theorem
  • Theorem in vector calculus

    theorem for curls, or simply the curl theorem, or rotor theorem is a theorem in vector calculus on three-dimensional Euclidean space and real coordinate space

    Stokes' theorem

    Stokes' theorem

    Stokes'_theorem

  • Timeline of Polish science and technology
  • comprehensive approaches by other scholars; Banach-Steinhaus theorem, three-gap theorem. LWS, an abbreviation name used by Polish aircraft manufacturer

    Timeline of Polish science and technology

    Timeline of Polish science and technology

    Timeline_of_Polish_science_and_technology

  • Nash embedding theorems
  • Every Riemannian manifold can be isometrically embedded into some Euclidean space

    The Nash embedding theorems (or imbedding theorems), named after John Forbes Nash Jr., state that every Riemannian manifold can be isometrically embedded

    Nash embedding theorems

    Nash_embedding_theorems

  • List of theorems
  • theorem (logic) Diaconescu's theorem (mathematical logic) Easton's theorem (set theory) Erdős–Dushnik–Miller theorem (set theory) Erdős–Rado theorem (set

    List of theorems

    List_of_theorems

  • Goldstone boson
  • Type of massless subatomic particle

    pseudo-Goldstone bosons or pseudo–Nambu–Goldstone bosons. Goldstone's theorem examines a generic continuous symmetry which is spontaneously broken; i

    Goldstone boson

    Goldstone_boson

  • Wiles's proof of Fermat's Last Theorem
  • 1995 publication in mathematics

    Together with Ribet's theorem, it provides a proof for Fermat's Last Theorem. Both Fermat's Last Theorem and the modularity theorem were believed to be

    Wiles's proof of Fermat's Last Theorem

    Wiles's proof of Fermat's Last Theorem

    Wiles's_proof_of_Fermat's_Last_Theorem

  • Classification of finite simple groups
  • Theorem classifying finite simple groups

    classification of finite simple groups (popularly called the enormous theorem) is a result of group theory stating that every finite simple group is

    Classification of finite simple groups

    Classification of finite simple groups

    Classification_of_finite_simple_groups

  • Green–Tao theorem
  • Theorem about prime numbers

    In number theory, the Green–Tao theorem, proven by Ben Green and Terence Tao in 2004, states that the sequence of prime numbers contains arbitrarily long

    Green–Tao theorem

    Green–Tao_theorem

  • Ramsey's theorem
  • Statement in mathematical combinatorics

    In combinatorics, Ramsey's theorem, in one of its graph-theoretic forms, states that one will find monochromatic cliques in any edge labelling (with colours)

    Ramsey's theorem

    Ramsey's_theorem

  • Gödel's incompleteness theorems
  • Limitative results in mathematical logic

    Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories

    Gödel's incompleteness theorems

    Gödel's_incompleteness_theorems

  • Convex hull
  • Smallest convex set containing a given set

    O(n\log n)} for two or three dimensional point sets, and in time matching the worst-case output complexity given by the upper bound theorem in higher dimensions

    Convex hull

    Convex hull

    Convex_hull

  • Debreu's representation theorems
  • In economics, the Debreu's theorems are preference representation theorems—statements about the representation of a preference ordering by a real-valued

    Debreu's representation theorems

    Debreu's_representation_theorems

  • Universal approximation theorem
  • Property of artificial neural networks

    In the field of machine learning, the universal approximation theorems (UATs) state that neural networks with a certain structure can, in principle, approximate

    Universal approximation theorem

    Universal_approximation_theorem

  • Electronic band structure
  • Describes the range of energies of an electron within the solid

    energy that they may not have (called band gaps or forbidden bands). Band theory derives these bands and band gaps by examining the allowed quantum mechanical

    Electronic band structure

    Electronic_band_structure

  • Stars and bars (combinatorics)
  • Graphical aid for deriving some concepts in combinatorics

    dots and dividers) is a graphical aid for deriving certain combinatorial theorems. It can be used to solve a variety of counting problems, such as how many

    Stars and bars (combinatorics)

    Stars_and_bars_(combinatorics)

  • List of incomplete proofs
  • found a serious gap, and fixed it in about 1991. In 1929 Lazar Lyusternik and Lev Schnirelmann published a proof of the theorem of the three geodesics, which

    List of incomplete proofs

    List_of_incomplete_proofs

  • Circle packing theorem
  • On tangency patterns of circles

    The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible patterns of tangent circles among non-overlapping

    Circle packing theorem

    Circle packing theorem

    Circle_packing_theorem

  • List of things named after Jacques Hadamard
  • Taylor's theorem Ostrowski–Hadamard gap theorem concerning the analytic continuation of complex power series Hadamard three-circle theorem, concerning

    List of things named after Jacques Hadamard

    List_of_things_named_after_Jacques_Hadamard

  • Prime number
  • Number divisible only by 1 and itself

    ISBN 978-0-538-73758-6. Dudley 1978, Section 2, Theorem 2, p. 16; Neale, Vicky (2017). Closing the Gap: The Quest to Understand Prime Numbers. Oxford University

    Prime number

    Prime number

    Prime_number

  • Poincaré conjecture
  • Theorem in geometric topology

    conjectured by Henri Poincaré in 1904, the theorem concerns spaces that locally look like ordinary three-dimensional Euclidean space but which are finite

    Poincaré conjecture

    Poincaré_conjecture

  • Area of a circle
  • Concept in geometry

    as an application of Green's theorem in flux-divergence form (i.e. a two-dimensional version of the divergence theorem), in a way that avoids all mention

    Area of a circle

    Area_of_a_circle

  • Landau's problems
  • Four basic unsolved problems about prime numbers

    as the sum of three primes, is a consequence of Goldbach's conjecture. Ivan Vinogradov proved it for large enough n (Vinogradov's theorem) in 1937, and

    Landau's problems

    Landau's problems

    Landau's_problems

  • Theorem stencil
  • Type of art

    Theorem stencil, sometimes also called theorem painting or velvet painting, is the art of making stencils and using them to make drawings or paintings

    Theorem stencil

    Theorem stencil

    Theorem_stencil

  • Grigori Perelman
  • Russian mathematician (born 1966)

    first paper, used his canonical neighborhoods theorem to construct a Ricci flow with surgery in three dimensions, systematically excising singular regions

    Grigori Perelman

    Grigori Perelman

    Grigori_Perelman

  • Millennium Prize Problems
  • Seven mathematical problems with a US$1 million prize for each solution

    P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture at the Millennium Meeting held on May 24, 2000

    Millennium Prize Problems

    Millennium_Prize_Problems

  • Twin prime
  • Prime differing from another prime by two

    reciprocals of the twin primes was convergent. This famous result, called Brun's theorem, was the first use of the Brun sieve and helped initiate the development

    Twin prime

    Twin_prime

  • Frisch–Waugh–Lovell theorem
  • Theorem in statistics and econometrics

    econometrics, the Frisch–Waugh–Lovell (FWL) theorem proves a property of ordinary least squares estimators. The theorem is named for econometricians Ragnar Frisch

    Frisch–Waugh–Lovell theorem

    Frisch–Waugh–Lovell theorem

    Frisch–Waugh–Lovell_theorem

  • Fermat's right triangle theorem
  • Rational right triangles cannot have square area

    Fermat's right triangle theorem is a non-existence proof in number theory, published in 1670 among the works of Pierre de Fermat, soon after his death

    Fermat's right triangle theorem

    Fermat's right triangle theorem

    Fermat's_right_triangle_theorem

  • Straightedge and compass construction
  • Method of drawing geometric objects

    be transferred even with a collapsing compass; see compass equivalence theorem. Note however that whilst a non-collapsing compass held against a straightedge

    Straightedge and compass construction

    Straightedge and compass construction

    Straightedge_and_compass_construction

  • Mathematics education in the United States
  • divergences, curls, the fundamental theorem of gradients, Green's theorem, Stokes' theorem, and Gauss' theorem). Other optional mathematics courses may

    Mathematics education in the United States

    Mathematics education in the United States

    Mathematics_education_in_the_United_States

  • Krohn–Rhodes theory
  • Approach to the study of finite semigroups and automata

    Open-source software package for the GAP computer algebra system. An introduction to the Krohn-Rhodes Theorem (Section 5); part of the Santa Fe Institute

    Krohn–Rhodes theory

    Krohn–Rhodes_theory

  • Geometry
  • Branch of mathematics

    of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, a problem that was stated in terms of elementary arithmetic, and remained

    Geometry

    Geometry

  • Riemann hypothesis
  • Conjecture on zeros of the zeta function

    2. The prime number theorem implies that on average, the gap between the prime p and its successor is log p. However, some gaps between primes may be

    Riemann hypothesis

    Riemann hypothesis

    Riemann_hypothesis

  • Gleason's theorem
  • Theorem in quantum mechanics

    In mathematical physics, Gleason's theorem shows that the rule one uses to calculate probabilities in quantum physics, the Born rule, can be derived from

    Gleason's theorem

    Gleason's_theorem

  • List of long mathematical proofs
  • 500 pages in 2000 is unusually long for a proof. 1799 – The Abel–Ruffini theorem was nearly proved by Paolo Ruffini, but his proof, spanning 500 pages,

    List of long mathematical proofs

    List_of_long_mathematical_proofs

  • Dehn's lemma
  • Theorem in topology

    boundary of the disk. This theorem was thought to be proven by Max Dehn (1910), but Hellmuth Kneser (1929, page 260) found a gap in the proof. The status

    Dehn's lemma

    Dehn's_lemma

  • Erdős–Pósa theorem
  • Min-max theorem in graph theory

    In the mathematical discipline of graph theory, the Erdős–Pósa theorem, named after Paul Erdős and Lajos Pósa, relates two parameters of a graph: The

    Erdős–Pósa theorem

    Erdős–Pósa_theorem

  • Quantum Heisenberg model
  • Statistical model in quantum mechanics of magnetic materials

    }-{\frac {1}{2}}\cos 2\eta 1^{\otimes N}.} The Lieb-Schultz-Mattis (LSM) theorem demonstrates that in a one-dimensional antiferromagnetic Heisenberg model

    Quantum Heisenberg model

    Quantum_Heisenberg_model

  • Abc conjecture
  • Conjecture in number theory

    smaller than c {\displaystyle c} . A number of famous conjectures and theorems in number theory would follow immediately from the abc conjecture or its

    Abc conjecture

    Abc conjecture

    Abc_conjecture

  • Danica McKellar
  • American actress, mathematics writer, and education advocate (born 1975)

    \mathbb {Z} ^{2}} ." Their results are termed the "Chayes–McKellar–Winn theorem". Later, when Chayes was asked to comment about the mathematical abilities

    Danica McKellar

    Danica McKellar

    Danica_McKellar

  • Koopmans' theorem
  • Theorem in quantum mechanics

    Koopmans' theorem states that in closed-shell Hartree–Fock theory (HF), the first ionization energy of a molecular system is equal to the negative of

    Koopmans' theorem

    Koopmans'_theorem

  • John von Neumann
  • Hungarian and American mathematician and physicist (1903–1957)

    the application of this work was instrumental in his mean ergodic theorem. The theorem is about arbitrary one-parameter unitary groups t → V t {\displaystyle

    John von Neumann

    John von Neumann

    John_von_Neumann

  • K·p perturbation theory
  • Solid-state physics model

    periodic function, with the same periodicity as the crystal lattice. Bloch's theorem proves that the solutions to this differential equation can be written

    K·p perturbation theory

    K·p_perturbation_theory

  • P versus NP problem
  • Unsolved problem in computer science

    introduced in 1971 by Stephen Cook in his seminal paper "The complexity of theorem proving procedures", and independently by Leonid Levin in 1973. Although

    P versus NP problem

    P_versus_NP_problem

  • Hilbert's problems
  • 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

    Hilbert's problems

    Hilbert's_problems

  • Euclid
  • Ancient Greek mathematician (fl. 300 BC)

    the later tradition of Alexandria. In the Elements, Euclid deduced the theorems from a small set of axioms. He also wrote works on perspective, conic sections

    Euclid

    Euclid

    Euclid

  • List of undecidable problems
  • Computational problems no algorithm can solve

    halting Turing machines with the same number of states and symbols). Rice's theorem states that for all nontrivial properties of partial functions, it is undecidable

    List of undecidable problems

    List_of_undecidable_problems

  • Gadget (computer science)
  • Subunit of a computational problem

    Steven (1998), "Reductions in circuit complexity: an isomorphism theorem and a gap theorem", Journal of Computer and System Sciences, 57 (2): 127–143, doi:10

    Gadget (computer science)

    Gadget_(computer_science)

  • Field (mathematics)
  • Algebraic structure with addition, multiplication, and division

    symmetries of field extensions, provides an elegant proof of the Abel–Ruffini theorem that general quintic equations cannot be solved in radicals. Fields serve

    Field (mathematics)

    Field (mathematics)

    Field_(mathematics)

  • Simple group
  • Group without normal subgroups other than the trivial group and itself

    eventually arrives at uniquely determined simple groups, by the Jordan–Hölder theorem. The complete classification of finite simple groups, completed in 2004

    Simple group

    Simple group

    Simple_group

  • The Great Mathematical Problems
  • Book by Ian Stewart

    conjecture Squaring the circle Four colour theorem Kepler's conjecture Mordell's conjecture Fermat's Last Theorem Three-body problem Riemann hypothesis Poincare

    The Great Mathematical Problems

    The_Great_Mathematical_Problems

  • Semantics (programming languages)
  • Mathematical study of the meaning of programming languages

    checking. There are many approaches to formal semantics; these belong to three major classes: Denotational semantics, whereby each phrase in the language

    Semantics (programming languages)

    Semantics_(programming_languages)

  • Emmy Noether
  • German mathematician (1882–1935)

    contributions to abstract algebra. She also proved Noether's first and second theorems, which are fundamental in mathematical physics. Noether was described by

    Emmy Noether

    Emmy Noether

    Emmy_Noether

  • Irit Dinur
  • Israeli computer scientist

    PCP theorem by gap amplification". Faculty listing, Weizmann Institute Faculty of Mathematics and Computer Science, retrieved 2014-06-18. "Three World-Leading

    Irit Dinur

    Irit Dinur

    Irit_Dinur

  • List of unsolved problems in mathematics
  • associated to Linnik's theorem New Mersenne conjecture: for any odd natural number p {\displaystyle p} , if any two of the three conditions p = 2 k ± 1

    List of unsolved problems in mathematics

    List_of_unsolved_problems_in_mathematics

  • Density functional theory
  • Computational quantum mechanical modelling method to investigate electronic structure

    Pierre Hohenberg in the framework of the two Hohenberg–Kohn theorems (HK). The original HK theorems held only for non-degenerate ground states in the absence

    Density functional theory

    Density_functional_theory

  • George Pólya
  • Hungarian mathematician (1887–1985)

    323. PMC 1078330. PMID 16588467. Pólya, George (1942). "On converse gap theorems". Trans. Amer. Math. Soc. 52 (1): 65–71. doi:10.1090/s0002-9947-1942-0006577-0

    George Pólya

    George Pólya

    George_Pólya

  • Timeline of class field theory
  • the Kronecker–Weber theorem (with a slight gap). 1896 David Hilbert gives the first complete proof of the Kronecker–Weber theorem. 1897 Weber introduces

    Timeline of class field theory

    Timeline_of_class_field_theory

  • Shing-Tung Yau
  • 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

    Shing-Tung Yau

    Shing-Tung_Yau

  • Semimetal
  • Metal with a small negative indirect band-gap

    separated from an empty conduction band by a band gap. For insulators, the magnitude of the band gap is larger (e.g., > 4 eV) than that of a semiconductor

    Semimetal

    Semimetal

    Semimetal

  • Srinivasa Ramanujan
  • Indian mathematician (1887–1920)

    Fermat's last theorem Berndt, Bruce C. (12 December 1997). Ramanujans Notebooks. Springer. ISBN 978-0387949413. "Quotations by Hardy". Gap.dcs.st-and.ac

    Srinivasa Ramanujan

    Srinivasa Ramanujan

    Srinivasa_Ramanujan

  • Cramér's conjecture
  • Estimatation in number theory

    writes, "For the largest known maximal gaps, R {\displaystyle R} has remained near 1.13." Prime number theorem Legendre's conjecture and Andrica's conjecture

    Cramér's conjecture

    Cramér's_conjecture

  • Stokes flow
  • Type of fluid flow

    velocities: this is known as the Helmholtz minimum dissipation theorem. The Lorentz reciprocal theorem states a relationship between two Stokes flows in the same

    Stokes flow

    Stokes flow

    Stokes_flow

  • Cole Prize
  • Prize awarded by the American Mathematical Society

    2307/1969013. JSTOR 1969013. Mann, Henry B. (1942). "A proof of the fundamental theorem on the density of sums of sets of positive integers". Annals of Mathematics

    Cole Prize

    Cole_Prize

  • Model theory
  • Area of mathematical logic

    then it is ω {\displaystyle \omega } -stable. More generally, the Main gap theorem implies that if there is an uncountable cardinal λ {\displaystyle \lambda

    Model theory

    Model_theory

  • First-past-the-post voting
  • Plurality voting system

    elections in the UK, the FPTP system has produced strange results, with huge gaps between the votes a party receives and the seats it recives. In the 2024

    First-past-the-post voting

    First-past-the-post voting

    First-past-the-post_voting

  • Diophantine equation
  • Polynomial equation whose integer solutions are sought

    degrees higher than three, most known results are theorems asserting that there are no solutions (for example Fermat's Last Theorem) or that the number

    Diophantine equation

    Diophantine equation

    Diophantine_equation

  • List of prime numbers
  • greater than 1 that has no divisors other than 1 and itself. By Euclid's theorem, there are an infinite number of prime numbers. Subsets of the prime numbers

    List of prime numbers

    List_of_prime_numbers

  • Fields Medal
  • Mathematics award

    first-ever IMU silver plaque in recognition of his proof of Fermat's Last Theorem. Don Zagier referred to the plaque as a "quantized Fields Medal". Accounts

    Fields Medal

    Fields Medal

    Fields_Medal

  • Terence Tao
  • Australian and American mathematician (born 1975)

    and Sciences. Among his contributions to mathematics is the Green–Tao theorem on prime numbers, which he proved in 2004 in collaboration with Ben Green

    Terence Tao

    Terence Tao

    Terence_Tao

  • Saltburn (film)
  • 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)

    Saltburn_(film)

  • Non-surveyable proof
  • Proof that is not easily verified by hand

    deduction: …if we accept the [Four-Color Theorem] as a theorem, we are committed to changing the sense of "theorem", or, more to the point, to changing the

    Non-surveyable proof

    Non-surveyable_proof

  • Law of thought
  • Logical principles

    typically taken to be axioms, but rather theorems. No viable system of logic can be constructed in which the "three laws" would be the only axioms. Following

    Law of thought

    Law_of_thought

  • Minimax
  • Decision rule used for minimizing the possible loss for a worst-case scenario

    important in the theory of repeated games. One of the central theorems in this theory, the folk theorem, relies on the minimax values. In combinatorial game theory

    Minimax

    Minimax

  • Arrow–Debreu model
  • Economic Model

    McKenzie, however, did not receive the award. The contents of both theorems [fundamental theorems of welfare economics] are old beliefs in economics. Arrow and

    Arrow–Debreu model

    Arrow–Debreu_model

  • Convex polygon
  • Polygon that is the boundary of a convex set

    diagonals from one vertex to all other vertices. Helly's theorem: For every collection of at least three convex polygons: if all intersections of all but one

    Convex polygon

    Convex polygon

    Convex_polygon

  • Singular value decomposition
  • Matrix decomposition

    n } {\displaystyle i>\min\{m,n\}} ⁠. The geometric content of the SVD theorem can thus be summarized as follows: for every linear map ⁠ T : K n → K m

    Singular value decomposition

    Singular value decomposition

    Singular_value_decomposition

  • Brownian motion
  • Random motion of particles suspended in a fluid

    the caloric component of a fluid's internal energy (the equipartition theorem). This motion is named after the Scottish botanist Robert Brown, who first

    Brownian motion

    Brownian motion

    Brownian_motion

  • 4-manifold
  • Mathematical space

    on the intersection form on the middle dimensional homology. A famous theorem of Michael Freedman (1982) implies that the homeomorphism type of the manifold

    4-manifold

    4-manifold

  • Stellar black hole
  • Black hole formed by a collapsed star

    other formation mechanisms may operate. By the no-hair theorem, a black hole can only have three fundamental properties: mass, electric charge, and angular

    Stellar black hole

    Stellar black hole

    Stellar_black_hole

  • Euclid's Elements
  • Mathematical treatise by Euclid

    These include the Pythagorean theorem, Thales' theorem, the Euclidean algorithm for greatest common divisors, Euclid's theorem that there are infinitely many

    Euclid's Elements

    Euclid's Elements

    Euclid's_Elements

  • Cube
  • Solid with six equal square faces

    to Islam Kakutani's theorem on every three-dimensional convex body has a circumscribed cube Magic cube, a magic square in three-dimensional version Schläfli

    Cube

    Cube

    Cube

  • Tarski's high school algebra problem
  • Mathematical problem

    and Gödel's incompleteness theorem in the 1920s and 1930s. First, note that Garrett Birkhoff proved with his HSP theorem that the equational theory of

    Tarski's high school algebra problem

    Tarski's_high_school_algebra_problem

  • Projective geometry
  • Type of geometry

    (complex) projective geometry, and some theorems about circles can be considered as special cases of these general theorems. During the early 19th century the

    Projective geometry

    Projective_geometry

  • Solovay–Kitaev theorem
  • Theorem in quantum information theory

    In quantum information and computation, the Solovay–Kitaev theorem says that if a set of single-qubit quantum gates generates a dense subgroup of SU(2)

    Solovay–Kitaev theorem

    Solovay–Kitaev_theorem

  • Polyhedron
  • Flat-sided three-dimensional shape

    bellows theorem. Three examples are Steffen's polyhedron, Bricard octahedron, and Kokotsakis polyhedron. Convex polyhedra can be defined in three-dimensional

    Polyhedron

    Polyhedron

    Polyhedron

  • André Bloch (mathematician)
  • French mathematician (1893–1948)

    generalization of Picard's theorem.) His proof of this theorem contained gaps (which he recognized), and later the theorem was known as "Bloch's conjecture"

    André Bloch (mathematician)

    André_Bloch_(mathematician)

  • International Mathematical Olympiad
  • Annual high school maths competition

    latter has not been as popular as before because of the algorithmic use of theorems like Muirhead's inequality, and complex/analytic bashing to solve problems

    International Mathematical Olympiad

    International Mathematical Olympiad

    International_Mathematical_Olympiad

AI & ChatGPT searchs for online references containing THREE GAP-THEOREM

THREE GAP-THEOREM

AI search references containing THREE GAP-THEOREM

THREE GAP-THEOREM

  • GAD
  • Male

    Greek

    GAD

    (Γάδ) Greek form of Hebrew Gad, GAD means "troop." In the bible, this is the name of a tribe descended from Gad, mentioned in the New Testament in Rev vii. 5. Compare with other forms of Gad.

    GAD

  • Veda-Shree
  • Girl/Female

    Indian, Telugu

    Veda-Shree

    Veda means Vedham and Shree means Sriman Narayana

    Veda-Shree

  • GAD
  • Male

    Hebrew

    GAD

    (גָּד) Hebrew name GAD means "troop." In the bible, this is the name of a prophet and the seventh son of Jacob by Zilpah. Compare with other forms of Gad.

    GAD

  • GAËLLE
  • Female

    French

    GAËLLE

    Possibly a contracted form of French Gwenaëlle, GAËLLE means "holy and generous."

    GAËLLE

  • GAL
  • Female

    Hebrew

    GAL

    (גַּל) Hebrew unisex name GAL means "mound, wave."

    GAL

  • GAE
  • Female

    English

    GAE

    Variant spelling of English Gay, GAE means "happy."

    GAE

  • GAD
  • Male

    Native American

    GAD

    Native American Navajo name GAD means "juniper tree."

    GAD

  • GAËTAN
  • Male

    French

    GAËTAN

    French form of Roman Latin Caietanus, GAËTAN means "from Caieta (Gaeta, Italy)."

    GAËTAN

  • GAY
  • Male

    English

    GAY

     Short form of English names beginning with Gay-, such as Gabriel "man of God" or "warrior of God," and Gaylord, GAY means "dandy." Compare with feminine Gay.

    GAY

  • Yap
  • Surname or Lastname

    English

    Yap

    English : nickname for a clever or cunning person, from Middle English yap ‘devious’, ‘deceitful’, ‘bent’; ‘shrewd’.Americanized spelling of North German Japp.Chinese : variant of Ye.Filipino : unexplained.

    Yap

  • GAËTANE
  • Female

    French

    GAËTANE

    Feminine form of French Gaëtan, GAËTANE means "from Caieta (Gaeta, Italy)."

    GAËTANE

  • GAÅ PER
  • Male

    Slovene

    GAÅ PER

    Slovene form of Portuguese/Spanish Gaspar, GAŠPER means "treasure bearer." 

    GAÅ PER

  • Gapp
  • Surname or Lastname

    English

    Gapp

    English : from Middle English gappe, Old Norse gap ‘chasm’, ‘breach’, hence a topographic name for someone who lived near a gap in a wall, hedge, or (in Norfolk and Suffolk) cliffs.German : from the personal name Gabo, a short form of Gebolf (see Gebhardt).

    Gapp

  • Anvitha | அந்விதா
  • Girl/Female

    Tamil

    Anvitha | அந்விதா

    Who bridges the gap

    Anvitha | அந்விதா

  • Haddock
  • Surname or Lastname

    English of three possible origins

    Haddock

    English of three possible origins : of three possible origins: from a medieval survival with added initial H- of the Old English personal name Ædduc, a diminutive of Æddi, itself a short form of various compound names with the first element ēad ‘prosperity’, ‘fortune’.English of three possible origins : habitational name from Haydock near Liverpool, which is probably named from Welsh heiddog ‘characterized by barley’.English of three possible origins : from Middle English hadduc ‘haddock’, hence a metonymic occupational name for a fisherman or fish seller, or a nickname for someone supposedly resembling the fish.

    Haddock

  • Tree
  • Surname or Lastname

    English (mainly southeastern)

    Tree

    English (mainly southeastern) : topographic name for someone who lived near a conspicuous tree, Middle English tre(w).

    Tree

  • GAËL
  • Male

    French

    GAËL

    Masculine form of French Gaëlle, GAËL means "holy and generous."

    GAËL

  • GAY
  • Female

    English

    GAY

    English name derived from the vocabulary word, GAY means "happy." Compare with masculine Gay.

    GAY

  • Gay
  • Surname or Lastname

    English and French

    Gay

    English and French : nickname for a lighthearted or cheerful person, from Middle English, Old French gai. In Middle English the term could also mean ‘wanton’, ‘lascivious’ and this sense may lie behind the surname in some instances.English (of Norman origin) : habitational name from places in Normandy called Gaye, from an early proprietor bearing a Germanic personal name cognate with Wade.probably from the Catalan personal name Gai (Latin Gaius), or in some cases a nickname from Catalan gay ‘cheerful’.Variant of German Gau.North German : from a Frisian personal name Gay.A Congregational clergyman and one of the forerunners of the Unitarian movement in New England, Ebenezer Gay (1696–1787) was born in Dedham, MA, which had been founded by his grandfather, John Gay, who came to America from Wiltshire, England, about 1630 and settled in Watertown, MA. Ebenezer’s great-grandson Howard was editor of the American Anti-Slavery Standard.

    Gay

  • Gad
  • Surname or Lastname

    English

    Gad

    English : variant spelling of Gadd.Danish : from a medieval nickname Gad meaning ‘sting’, ‘point’, or from the Biblical male personal name Gad.Muslim : from a personal name based on Arabic jād ‘serious’, ‘earnest’.

    Gad

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Online names & meanings

  • Bayliff
  • Surname or Lastname

    English

    Bayliff

    English : variant of Bailiff. See also Bayliss.

  • AMLÓÐI
  • Male

    Icelandic

    AMLÓÐI

    Icelandic saga name from Snori Sturlasson's Skaldskaparmal, possibly a translation of the Latin name Brutus, AMLÓÐI means "heavy" or "the dullard." 

  • Bejul
  • Boy/Male

    Hindu, Indian

    Bejul

    Defender; Protection; Blessing; Loved One; Soul; A Son of God

  • Milika
  • Girl/Female

    Hindu, Indian, Marathi, Sanskrit, Telugu

    Milika

    Desiring Union

  • Imtisal
  • Girl/Female

    Arabic, Muslim

    Imtisal

    Obedience; Conforming to; In Compliance with

  • Fatih |
  • Boy/Male

    Muslim

    Fatih |

    One who eases difficulties

  • Akshansh
  • Boy/Male

    Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu

    Akshansh

    Universe

  • Sodom
  • Girl/Female

    Biblical

    Sodom

    Their secret, their cement.

  • Hazard
  • Surname or Lastname

    English (also established in Ireland), French, and Dutch

    Hazard

    English (also established in Ireland), French, and Dutch : nickname for an inveterate gambler or a brave or foolhardy man prepared to run risks, from Middle English, Old French hasard, Middle Dutch hasaert (derived from Old French) ‘game of chance’, later used metaphorically of other uncertain enterprises. The word derives from Arabic az-zahr, from az, assimilated form of the definite article al + zahr ‘die’. It appears to have been picked up in the Holy Land and brought back to Europe by Provençal crusaders.

  • Himank
  • Girl/Female

    Hindu, Indian

    Himank

    Nature

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Other words and meanings similar to

THREE GAP-THEOREM

AI search in online dictionary sources & meanings containing THREE GAP-THEOREM

THREE GAP-THEOREM

  • Gape
  • v. i.

    To pen or part widely; to exhibit a gap, fissure, or hiatus.

  • Three-cornered
  • a.

    Having three prominent longitudinal angles; as, a three-cornered stem.

  • Three-leaved
  • a.

    Producing three leaves; as, three-leaved nightshade.

  • Three
  • n.

    The number greater by a unit than two; three units or objects.

  • Three-valved
  • a.

    Consisting of, or having, three valves; opening with three valves; as, a three-valved pericarp.

  • Three-cornered
  • a.

    Having three corners, or angles; as, a three-cornered hat.

  • Gas
  • n.

    Laughing gas.

  • Three-lobed
  • a.

    Having three lobes.

  • Three-nerved
  • a.

    Having three nerves.

  • Three-way
  • a.

    Connected with, or serving to connect, three channels or pipes; as, a three-way cock or valve.

  • Three-leafed
  • a.

    Alt. of Three-leaved

  • Three
  • n.

    A symbol representing three units, as 3 or iii.

  • Three-ply
  • a.

    Consisting of three distinct webs inwrought together in weaving, as cloth or carpeting; having three strands; threefold.

  • Three-sided
  • a.

    Having three sides, especially three plane sides; as, a three-sided stem, leaf, petiole, peduncle, scape, or pericarp.

  • Three-pointed
  • a.

    Having three acute or setigerous points; tricuspidate.

  • Three-leaved
  • a.

    Consisting of three distinct leaflets; having the leaflets arranged in threes.

  • Tree
  • v. t.

    To place upon a tree; to fit with a tree; to stretch upon a tree; as, to tree a boot. See Tree, n., 3.

  • Stop-gap
  • n.

    That which closes or fills up an opening or gap; hence, a temporary expedient.

  • Three-flowered
  • a.

    Bearing three flowers together, or only three flowers.

  • Gar
  • v.

    The gar pike. See Alligator gar (under Alligator), and Gar pike.