LIST OF THEOREMS - Encyclopedia Information

From Wikipedia, the free encyclopedia

This article may be in need of reorganization to comply with Wikipedia's layout guidelines. The reason given is: it should be sorted by subdiscipline rather than alphabetically for ease of navigation. Please help by editing the article to make improvements to the overall structure. (February 2024) ( Learn how and when to remove this template message)

This is a list of notable theorems. Lists of theorems and similar statements include:

Most of the results below come from pure mathematics, but some are from theoretical physics, economics, and other applied fields.

0–9

A

AF+BG theorem ( algebraic geometry)
ATS theorem ( number theory)
Abel's binomial theorem ( combinatorics)
Abel's curve theorem ( mathematical analysis)
Abel's theorem ( mathematical analysis)
Abelian and Tauberian theorems ( mathematical analysis)
Abel–Jacobi theorem ( algebraic geometry)
Abel–Ruffini theorem ( theory of equations, Galois theory)
Abhyankar–Moh theorem ( algebraic geometry)
Absolute convergence theorem ( mathematical series)
Acyclic models theorem ( algebraic topology)
Addition theorem ( algebraic geometry)
Adiabatic theorem ( physics)
Ado's theorem ( Lie algebra)
Akhiezer's theorem ( complex analysis)
Akra–Bazzi theorem ( computer science)
Alternate Interior Angles Theorem ( geometry)
Albert–Brauer–Hasse–Noether theorem ( algebras)
Alchian–Allen theorem ( economics)
Alexandrov's uniqueness theorem ( discrete geometry)
Alperin–Brauer–Gorenstein theorem ( finite groups)
Alspach's theorem ( graph theory)
Amitsur–Levitzki theorem ( linear algebra)
Analyst's traveling salesman theorem ( discrete mathematics)
Analytic Fredholm theorem ( functional analysis)
Anderson's theorem ( real analysis)
Andreotti–Frankel theorem ( algebraic geometry)
Angle bisector theorem ( Euclidean geometry)
Ankeny–Artin–Chowla theorem ( number theory)
Anne's theorem ( geometry)
Apéry's theorem ( number theory)
Apollonius's theorem ( plane geometry)
Appell–Humbert theorem ( complex manifold)
Arakelyan's theorem ( complex analysis)
Area theorem (conformal mapping) ( complex analysis)
Arithmetic Riemann–Roch theorem ( algebraic geometry)
Aronszajn–Smith theorem ( functional analysis)
Arrival theorem ( queueing theory)
Arrow's impossibility theorem ( game theory)
Arrow-Lind theorem ( welfare economics)
Art gallery theorem ( geometry)
Artin approximation theorem ( commutative algebra)
Artin–Schreier theorem ( real closed fields)
Artin–Verdier duality theorem ( number theory)
Artin–Wedderburn theorem ( abstract algebra)
Artin–Zorn theorem ( algebra)
Artstein's theorem ( control theory)
Arzelà–Ascoli theorem ( functional analysis)
Atiyah–Bott fixed-point theorem ( differential topology)
Atiyah–Segal completion theorem ( homotopy theory)
Atiyah–Singer index theorem ( elliptic differential operators, harmonic analysis)
Atkinson's theorem ( operator theory)
Aumann's agreement theorem ( statistics)
Autonomous convergence theorem ( dynamical systems)
Auxiliary polynomial theorem ( Diophantine approximation)
Ax–Grothendieck theorem ( model theory)
Ax–Kochen theorem ( number theory)
Aztec diamond theorem ( combinatorics)

B

BBD decomposition theorem ( algebraic geometry)
BEST theorem ( graph theory)
Babuška–Lax–Milgram theorem ( partial differential equations)
Baily–Borel theorem ( algebraic geometry)
Baire category theorem ( topology, metric spaces)
Baker's theorem ( number theory)
Balian–Low theorem ( Fourier analysis)
Balinski's theorem ( combinatorics)
Banach–Alaoglu theorem ( functional analysis)
Banach–Mazur theorem ( functional analysis)
Banach fixed-point theorem ( metric spaces, differential equations)
Banach–Steinhaus theorem ( functional analysis)
Banach–Stone theorem ( operator theory)
Banach–Tarski theorem ( measure theory)
Bang's theorem ( geometry)
Barban–Davenport–Halberstam theorem ( analytic number theory)
Barbier's theorem ( geometry)
Bapat–Beg theorem ( statistics)
Baranyai's theorem ( combinatorics)
Barwise compactness theorem ( mathematical logic)
Base change theorems ( algebraic geometry)
Basel problem ( mathematical analysis)
Bass's theorem ( group theory)
Basu's theorem ( statistics)
Bauer–Fike theorem ( spectral theory)
Bayes' theorem ( probability)
Beatty's theorem ( Diophantine approximation)
Beauville–Laszlo theorem ( vector bundles)
Beck's monadicity theorem ( category theory)
Beck's theorem ( incidence geometry)
Beckman–Quarles theorem ( Euclidean geometry)
Beer's theorem ( metric geometry)
Behnke–Stein theorem ( several complex variables)
Behrend's theorem ( number theory)
Bell's theorem ( quantum mechanics)
Beltrami's theorem ( Riemannian geometry)
Belyi's theorem ( algebraic geometry)
Bendixson–Dulac theorem ( dynamical systems)
Berge's theorem ( graph theory)
Berger–Kazdan comparison theorem ( Riemannian geometry)
Bernstein's theorem ( approximation theory)
Bernstein's theorem ( functional analysis)
Berry–Esséen theorem ( probability theory)
Bertini's theorem ( algebraic geometry)
Bertrand–Diquet–Puiseux theorem ( differential geometry)
Bertrand's ballot theorem ( probability theory, combinatorics)
Bertrand's postulate ( number theory)
Besicovitch covering theorem ( mathematical analysis)
Betti's theorem ( physics)
Beurling–Lax theorem ( Hardy spaces)
Bézout's theorem ( algebraic geometry)
Bing metrization theorem ( general topology)
Bing's recognition theorem ( geometric topology)
Binomial inverse theorem ( linear algebra)
Binomial theorem ( algebra, combinatorics)
Birch's theorem ( algebraic number theory)
Birkhoff–Grothendieck theorem ( complex geometry)
Birkhoff–Von Neumann theorem ( linear algebra)
Birkhoff's representation theorem ( lattice theory)
Birkhoff's theorem ( ergodic theory)
Birkhoff's theorem ( general relativity)
Bishop–Cannings theorem ( economics)
Blaschke selection theorem ( geometric topology)
Bloch's theorem ( complex analysis)
Blondel's theorem ( electric power) ( physics)
Blum's speedup theorem ( computational complexity theory)
Bôcher's theorem ( complex analysis)
Bochner's tube theorem ( complex analysis)
Bogoliubov–Parasyuk theorem ( quantum field theory)
Bohr–Mollerup theorem ( gamma function)
Bohr–van Leeuwen theorem ( physics)
Bolyai–Gerwien theorem ( discrete geometry)
Bolzano's theorem ( real analysis, calculus)
Bolzano–Weierstrass theorem ( real analysis, calculus)
Bombieri's theorem ( number theory)
Bombieri–Friedlander–Iwaniec theorem ( number theory)
Bondareva–Shapley theorem ( economics)
Bondy's theorem ( graph theory, combinatorics)
Bondy–Chvátal theorem ( graph theory)
Bonnet theorem ( differential geometry)
Boolean prime ideal theorem ( mathematical logic)
Borel–Bott–Weil theorem ( representation theory)
Borel–Carathéodory theorem ( complex analysis)
Borel–Weil theorem ( representation theory)
Borel determinacy theorem ( set theory)
Borel fixed-point theorem ( algebraic geometry)
Borsuk–Ulam theorem ( topology)
Bott periodicity theorem ( homotopy theory)
Bounded convergence theorem ( measure theory)
Bounded inverse theorem ( operator theory)
Bourbaki–Witt theorem ( order theory)
Brahmagupta theorem ( Euclidean geometry)
Branching theorem ( complex manifold)
Brauer–Nesbitt theorem ( representation theory of finite groups)
Brauer–Siegel theorem ( number theory)
Brauer–Suzuki theorem ( finite groups)
Brauer–Suzuki–Wall theorem ( group theory)
Brauer's theorem ( number theory)
Brauer's theorem on induced characters ( representation theory of finite groups)
Brauer's three main theorems ( finite groups)
Brauer–Cartan–Hua theorem ( ring theory)
Bregman–Minc inequality ( discrete mathematics)
Brianchon's theorem ( conics)
British flag theorem ( Euclidean geometry)
Brooks's theorem ( graph theory)
Brouwer fixed-point theorem ( topology)
Browder–Minty theorem ( operator theory)
Brown's representability theorem ( homotopy theory)
Bruck–Chowla–Ryser theorem ( combinatorics)
Brun's theorem ( number theory)
Brun–Titchmarsh theorem ( number theory)
Brunn–Minkowski theorem ( Riemannian geometry)
Büchi-Elgot-Trakhtenbrot theorem ( mathematical logic)
Buckingham π theorem ( dimensional analysis)
Burke's theorem ( probability theory, queueing theory)
Burnside's theorem ( group theory)
Busemann's theorem ( Euclidean geometry)
Butterfly theorem ( Euclidean geometry)
Byers–Yang theorem ( quantum mechanics)

C

C-theorem ( physics)
CAP theorem ( theoretical computer science)
CPCTC ( triangle geometry)
Cameron–Erdős theorem ( discrete mathematics)
Cameron–Martin theorem ( measure theory)
Cantor–Bernstein–Schroeder theorem ( set theory, cardinal numbers)
Cantor's intersection theorem ( real analysis)
Cantor's isomorphism theorem ( order theory)
Cantor's theorem ( set theory, Cantor's diagonal argument)
Carathéodory–Jacobi–Lie theorem ( symplectic topology)
Carathéodory's existence theorem ( ordinary differential equations)
Carathéodory's theorem ( complex analysis)
Carathéodory's theorem ( convex geometry)
Carathéodory's theorem ( measure theory)
Carathéodory's extension theorem ( measure theory)
Caristi fixed-point theorem ( fixed points)
Carleson–Jacobs theorem ( complex analysis)
Carlson's theorem ( complex analysis)
Carmichael's theorem ( Fibonacci numbers)
Carnot's theorem ( geometry)
Carnot's theorem ( thermodynamics)
Cartan–Dieudonné theorem ( group theory)
Cartan–Hadamard theorem ( Riemannian geometry)
Cartan–Kähler theorem ( partial differential equations)
Cartan–Kuranishi prolongation theorem ( partial differential equations)
Cartan's theorem ( Lie group)
Cartan's theorems A and B ( several complex variables)
Casey's theorem ( Euclidean geometry)
Castelnuovo theorem ( algebraic geometry)
Castelnuovo–de Franchis theorem ( algebraic geometry)
Castigliano's first and second theorems ( structural analysis)
Cauchy integral theorem ( complex analysis)
Cauchy–Hadamard theorem ( complex analysis)
Cauchy–Kowalevski theorem ( partial differential equations)
Cauchy's theorem ( geometry)
Cauchy's theorem ( finite groups)
Cayley–Bacharach theorem ( projective geometry)
Cayley–Hamilton theorem ( Linear algebra)
Cayley–Salmon theorem ( algebraic surfaces)
Cayley's theorem ( group theory)
Central limit theorem ( probability)
Cesàro's theorem ( real analysis)
Ceva's theorem ( geometry)
Chasles's theorems
Chebotarev's density theorem ( number theory)
Chen's theorem ( number theory)
Cheng's eigenvalue comparison theorem ( Riemannian geometry)
Chern–Gauss–Bonnet theorem ( differential geometry)
Chevalley's structure theorem ( algebraic geometry)
Chevalley–Shephard–Todd theorem ( finite group)
Chevalley–Warning theorem ( field theory)
Chinese remainder theorem ( number theory)
Choi's theorem on completely positive maps ( operator theory)
Chomsky–Schützenberger enumeration theorem ( formal language theory)
Chomsky–Schützenberger representation theorem ( formal language theory)
Choquet–Bishop–de Leeuw theorem ( functional analysis)
Chow's theorem ( algebraic geometry)
Chowla–Mordell theorem ( number theory)
Church–Rosser theorem ( lambda calculus)
Clairaut's theorem ( physics)
Clapeyron's theorem ( physics)
Clark–Ocone theorem ( stochastic processes)
Classification of finite simple groups ( group theory)
Classification of Platonic solids ( geometry)
Clausius theorem ( physics)
Clifford's circle theorems ( Euclidean plane geometry)
Clifford's theorem on special divisors ( algebraic curves)
Closed graph theorem ( functional analysis)
Closed range theorem ( functional analysis)
Cluster decomposition theorem ( quantum field theory)
Coase theorem ( economics)
Cochran's theorem ( statistics)
Codd's theorem ( relational model)
Cohen structure theorem ( commutative algebra)
Cohn's irreducibility criterion ( polynomials)
Coleman–Mandula theorem ( quantum field theory)
Commandino's theorem ( geometry)
Commutation theorem ( von Neumann algebra)
Compactness theorem ( mathematical logic)
Compression theorem ( computational complexity theory, structural complexity theory)
Conley–Zehnder theorem ( dynamical systems)
Conservativity theorem ( mathematical logic)
Constant chord theorem ( geometry)
Constant rank theorem ( multivariate calculus)
Continuous mapping theorem ( probability theory)
Convolution theorem ( Fourier transforms)
Conway circle theorem ( Euclidean plane geometry)
Cook's theorem ( computational complexity theory)
Corners theorem ( arithmetic combinatorics)
Corona theorem ( complex analysis)
Courcelle's theorem ( graph theory)
Cox's theorem ( probability)
Craig's theorem ( mathematical logic)
Craig's interpolation theorem ( mathematical logic)
Cramér’s decomposition theorem ( statistics)
Cramér's theorem (large deviations) ( probability)
Cramer's theorem (algebraic curves) ( analytic geometry)
Cramér–Wold theorem ( measure theory)
Critical line theorem ( number theory)
Crooks fluctuation theorem ( physics)
Crossbar theorem ( Euclidean plane geometry)
Crystallographic restriction theorem ( group theory, crystallography)
Curtis–Hedlund–Lyndon theorem ( cellular automata)
Cut-elimination theorem ( proof theory)

D

Dandelin's theorem ( solid geometry)
Danskin's theorem ( convex analysis)
Darboux's theorem ( real analysis)
Darboux's theorem ( symplectic topology)
Davenport–Schmidt theorem ( number theory, Diophantine approximations)
Dawson–Gärtner theorem ( asymptotic analysis)
de Branges's theorem ( complex analysis)
de Bruijn's theorem ( discrete geometry)
De Bruijn–Erdős theorem (incidence geometry)
De Bruijn–Erdős theorem (graph theory)
De Finetti's theorem ( probability)
De Franchis theorem ( Riemann surfaces)
De Gua's theorem ( geometry)
De Moivre's theorem ( complex analysis)
De Rham's theorem ( differential topology)
Deduction theorem ( logic)
Denjoy theorem ( dynamical systems)
Denjoy–Carleman theorem ( functional analysis)
Desargues's theorem ( projective geometry)
Descartes's theorem ( plane geometry)
Descartes's theorem on total angular defect ( polyhedra)
Diller–Dress theorem ( field theory)
Dilworth's theorem ( combinatorics, order theory)
Dinostratus' theorem ( geometry, analysis)
Dimension theorem for vector spaces ( vector spaces, linear algebra)
Dini's theorem ( analysis)
Dirac's theorems ( graph theory)
Dirichlet's approximation theorem ( Diophantine approximations)
Dirichlet's theorem on arithmetic progressions ( number theory)
Dirichlet's unit theorem ( algebraic number theory)
Disintegration theorem ( measure theory)
Divergence theorem ( vector calculus)
Dominated convergence theorem ( Lebesgue integration)
Donaldson's theorem ( differential topology)
Donsker's theorem ( probability theory)
Doob decomposition theorem ( stochastic processes)
Doob's martingale convergence theorems ( stochastic processes)
Doob–Meyer decomposition theorem ( stochastic processes)
Dudley's theorem ( probability)
Duggan–Schwartz theorem ( voting theory)
Dunford–Pettis theorem ( probability theory)
Dunford–Schwartz theorem ( functional analysis)

E

Earnshaw's theorem ( electrostatics)
Easton's theorem ( set theory)
Eberlein–Šmulian theorem ( functional analysis)
Edge-of-the-wedge theorem ( complex analysis)
Edgeworth's limit theorem ( economics)
Egorov's theorem ( measure theory)
Ehresmann's theorem ( differential topology)
Eilenberg–Zilber theorem ( algebraic topology)
Elitzur's theorem ( quantum field theory, statistical field theory)
Envelope theorem ( calculus of variations)
Equal incircles theorem ( Euclidean geometry)
Equidistribution theorem ( ergodic theory)
Equipartition theorem ( ergodic theory)
Erdős–Anning theorem ( discrete geometry)
Erdős–Dushnik–Miller theorem ( set theory)
Erdős–Gallai theorem ( graph theory)
Erdős–Ginzburg–Ziv theorem ( number theory)
Erdős–Kac theorem ( number theory)
Erdős–Ko–Rado theorem ( combinatorics)
Erdős–Nagy theorem ( discrete geometry)
Erdős–Pósa theorem ( graph theory)
Erdős–Rado theorem ( set theory)
Erdős–Stone theorem ( graph theory)
Erdős–Szekeres theorem ( discrete geometry)
Euclid's theorem ( number theory)
Euclid–Euler theorem ( number theory)
Euler's partition theorem ( number theory)
Euler's polyhedron theorem ( polyhedra)
Euler's quadrilateral theorem ( geometry)
Euler's rotation theorem ( geometry)
Euler's theorem ( differential geometry)
Euler's theorem ( number theory)
Euler's theorem in geometry ( triangle geometry)
Euler's theorem on homogeneous functions ( multivariate calculus)
Exchange theorem ( linear algebra)
Excision theorem ( homology theory)
Exterior angle theorem ( triangle geometry)
Extreme value theorem ( calculus)

F

F. and M. Riesz theorem ( measure theory)
FWL theorem ( economics)
Faltings's theorem ( Diophantine geometry)
Farrell–Markushevich theorem ( complex analysis)
Fáry's theorem ( graph theory)
Fáry–Milnor theorem ( knot theory)
Fatou's theorem ( complex analysis)
Fatou–Lebesgue theorem ( real analysis)
Faustman–Ohlin theorem ( economics)
Feferman–Vaught theorem ( model theory)
Feit–Thompson theorem ( finite groups)
Fenchel's duality theorem ( convex analysis)
Fenchel's theorem ( differential geometry)
Fenchel–Moreau theorem ( mathematical analysis)
Fermat's Last Theorem ( number theory)
Fermat's little theorem ( number theory)
Fermat's theorem on sums of two squares ( number theory)
Fermat's theorem (stationary points) ( real analysis)
Fermat polygonal number theorem ( number theory)
Fernique's theorem ( measure theory)
Ferrero–Washington theorem ( algebraic number theory)
Feuerbach's theorem ( geometry)
Fieller's theorem ( statistics)
Final value theorem ( mathematical analysis)
Finsler–Hadwiger theorem ( geometry)
Fisher separation theorem ( economics)
Fisher–Tippett–Gnedenko theorem ( statistics)
Fitting's theorem ( group theory)
Five circles theorem ( circles)
Five color theorem ( graph theory)
Fixed-point theorems in infinite-dimensional spaces
Floquet's theorem ( differential equations)
Fluctuation dissipation theorem ( physics)
Fluctuation theorem ( statistical mechanics)
Ford's theorem ( number theory)
Focal subgroup theorem ( abstract algebra)
Folk theorem ( game theory)
Foster's theorem ( statistics)
Four color theorem ( graph theory)
Four functions theorem ( combinatorics)
Four-vertex theorem ( differential geometry)
Fourier inversion theorem ( harmonic analysis)
Fourier theorem ( harmonic analysis)
Franel–Landau theorem ( number theory)
Fraňková–Helly selection theorem ( mathematical analysis)
Fredholm's theorem ( linear algebra)
Freidlin–Wentzell theorem ( stochastic processes)
Freiman's theorem ( number theory)
Freudenthal suspension theorem ( homotopy theory)
Freyd's adjoint functor theorem ( category theory)
Friedberg–Muchnik theorem ( mathematical logic)
Friendship theorem ( graph theory)
Frobenius determinant theorem ( group theory)
Frobenius reciprocity theorem ( group representations)
Frobenius theorem ( foliations)
Frobenius theorem ( abstract algebras)
Froda's theorem ( mathematical analysis)
Frucht's theorem ( graph theory)
Fubini's theorem ( integration)
Fubini's theorem on differentiation ( real analysis)
Fuchs's theorem ( differential equations)
Fuglede's theorem ( functional analysis)
Full employment theorem ( theoretical computer science)
Fulton–Hansen connectedness theorem ( algebraic geometry)
Fundamental theorem of algebra ( complex analysis)
Fundamental theorem of arbitrage-free pricing ( financial mathematics)
Fundamental theorem of arithmetic ( number theory)
Fundamental theorem of calculus ( calculus)
Fundamental theorem on homomorphisms ( abstract algebra)
Fundamental theorems of welfare economics ( economics)
Furry's theorem ( quantum field theory)

G

Galvin's theorem ( combinatorics)
Gauss theorem ( vector calculus)
Gamas's Theorem ( multilinear algebra)
Gauss's Theorema Egregium ( differential geometry)
Gauss–Bonnet theorem ( differential geometry)
Gauss–Lucas theorem ( complex analysis)
Gauss–Markov theorem ( statistics)
Gauss–Wantzel theorem ( geometry)
Gelfand–Mazur theorem ( Banach algebra)
Gelfand–Naimark theorem ( functional analysis)
Gelfond–Schneider theorem ( transcendental number theory)
Gell-Mann and Low theorem ( quantum field theory)
Geometric mean theorem ( geometry)
Geroch's splitting theorem ( differential geometry)
Gershgorin circle theorem ( matrix theory)
Gibbard–Satterthwaite theorem ( voting methods)
Girsanov's theorem ( stochastic processes)
Glaisher's theorem ( number theory)
Gleason's theorem ( Hilbert space)
Glivenko's theorem ( mathematical logic)
Glivenko's theorem ( probability)
Glivenko–Cantelli theorem ( probability)
Goddard–Thorn theorem ( vertex algebras)
Gödel's completeness theorem ( mathematical logic)
Gödel's incompleteness theorem ( mathematical logic)
Godunov's theorem ( numerical analysis)
Going-up and going-down theorems ( commutative algebra)
Goldberg–Sachs theorem ( physics)
Goldie's theorem ( ring theory)
Goldstine theorem ( functional analysis)
Goldstone's theorem ( physics)
Golod–Shafarevich theorem ( group theory)
Gomory's theorem ( mathematical logic)
Goodstein's theorem ( mathematical logic)
Gordon–Newell theorem ( queueing theory)
Gottesman–Knill theorem ( quantum computation)
Gradient theorem ( vector calculus)
Graph structure theorem ( graph theory)
Grauert–Riemenschneider vanishing theorem ( algebraic geometry)
Great orthogonality theorem ( group theory)
Green–Tao theorem ( number theory)
Green's theorem ( vector calculus)
Grinberg's theorem ( graph theory)
Gromov's compactness theorem ( Riemannian geometry)
Gromov's compactness theorem ( symplectic topology)
Gromov's theorem on groups of polynomial growth ( geometric group theory)
Gromov–Ruh theorem ( differential geometry)
Gross–Zagier theorem ( number theory)
Grothendieck–Hirzebruch–Riemann–Roch theorem ( algebraic geometry)
Grothendieck's connectedness theorem ( algebraic geometry)
Grötzsch's theorem ( graph theory)
Grunsky's theorem ( complex analysis)
Grunwald–Wang theorem ( algebraic number theory)
Grushko theorem ( group theory)

H

H-cobordism theorem ( differential topology)
H-theorem ( thermodynamics)
Haag's theorem ( quantum field theory)
Haag–Łopuszański–Sohnius theorem ( physics)
Haboush's theorem ( algebraic groups, representation theory, invariant theory)
Hadamard three-circle theorem ( complex analysis)
Hadamard three-lines theorem ( complex analysis)
Hadwiger's theorem ( geometry, measure theory)
Hahn decomposition theorem ( measure theory)
Hahn embedding theorem ( ordered groups)
Hairy ball theorem ( algebraic topology)
Hahn–Banach theorem ( functional analysis)
Hahn–Kolmogorov theorem ( measure theory)
Hahn–Mazurkiewicz theorem ( continuum theory)
Hajnal–Szemerédi theorem ( graph theory)
Hales–Jewett theorem ( combinatorics)
Hall's marriage theorem ( combinatorics)
Halpern–Läuchli theorem ( Ramsey theory)
Ham sandwich theorem ( topology)
Hammersley–Clifford theorem ( probability)
Hardy's theorem ( complex analysis)
Hardy–Littlewood maximal theorem ( real analysis)
Hardy–Littlewood tauberian theorem ( mathematical analysis)
Hardy–Ramanujan theorem ( number theory)
Harish–Chandra theorem ( representation theory)
Harish–Chandra's regularity theorem ( representation theory)
Harnack's curve theorem ( real algebraic geometry)
Harnack's theorem ( complex analysis)
Hartman–Grobman theorem ( dynamical systems)
Hartogs–Rosenthal theorem ( complex analysis)
Hartogs's theorem ( complex analysis)
Hartogs's extension theorem ( several complex variables)
Hasse norm theorem ( number theory)
Hasse's theorem on elliptic curves ( number theory)
Hasse–Arf theorem ( local class field theory)
Hasse–Minkowski theorem ( number theory)
Heckscher–Ohlin theorem ( economics)
Heine–Borel theorem ( real analysis)
Heine–Cantor theorem ( metric geometry)
Hellinger–Toeplitz theorem ( functional analysis)
Hellmann–Feynman theorem ( physics)
Helly–Bray theorem ( probability theory)
Helly's selection theorem ( mathematical analysis)
Helly's theorem ( convex sets)
Helmholtz theorem (classical mechanics) ( physics)
Helmholtz's theorems ( physics)
Herbrand's theorem ( logic)
Herbrand–Ribet theorem ( cyclotomic fields)
Higman's embedding theorem ( group theory)
Hilbert's basis theorem ( commutative algebra, invariant theory)
Hilbert's Nullstellensatz (theorem of zeroes) ( commutative algebra, algebraic geometry)
Hilbert–Schmidt theorem ( functional analysis)
Hilbert–Speiser theorem ( cyclotomic fields)
Hilbert–Waring theorem ( number theory)
Hilbert's irreducibility theorem ( number theory)
Hilbert's syzygy theorem ( commutative algebra)
Hilbert's theorem ( differential geometry)
Hilbert's theorem 90 ( number theory)
Hilbert projection theorem ( convex analysis)
Hille–Yosida theorem ( functional analysis)
Hindman's theorem ( Ramsey theory)
Hinge theorem ( geometry)
Hironaka theorem ( algebraic geometry)
Hirzebruch signature theorem ( topology, algebraic geometry)
Hirzebruch–Riemann–Roch theorem ( complex manifolds)
Hjelmslev's theorem ( geometry)
Hobby–Rice theorem ( mathematical analysis)
Hodge index theorem ( algebraic surfaces)
Hohenberg–Kohn theorems ( density functional theory)
Hölder's theorem ( mathematical analysis)
Holditch's theorem ( plane geometry)
Holland's schema theorem ( genetic algorithm)
Holmström's theorem ( economics)
Hopf–Rinow theorem ( differential geometry)
Hurewicz theorem ( algebraic topology)
Hurwitz's automorphisms theorem ( algebraic curves)
Hurwitz's theorem ( complex analysis)
Hurwitz's theorem ( normed division algebras)
Hurwitz's theorem ( number theory)

I

Identity theorem ( complex analysis)
Identity theorem for Riemann surfaces ( Riemann surfaces)
Immerman–Szelepcsényi theorem ( computational complexity theory)
Implicit function theorem ( vector calculus)
Impossibility of angle trisection ( geometry)
Increment theorem ( mathematical analysis)
Independence of the axiom of choice ( mathematical logic)
Independence of the continuum hypothesis ( mathematical logic)
Independence of the parallel postulate ( geometry)
Infinite monkey theorem ( probability)
Integral root theorem ( algebra, polynomials)
Initial value theorem ( integral transform)
Integral representation theorem for classical Wiener space ( measure theory)
Intermediate value theorem ( calculus)
Intercept theorem ( Euclidean geometry)
Intersecting chords theorem ( Euclidean geometry)
Intersecting secants theorem ( Euclidean geometry)
Intersection theorem ( projective geometry)
Inverse eigenvalues theorem ( linear algebra)
Inverse function theorem ( vector calculus)
Ionescu-Tulcea theorem ( probability theory)
Isomorphism extension theorem ( abstract algebra)
Isomorphism theorem ( abstract algebra)
Isoperimetric theorem ( curves, calculus of variations)

J

K

Kachurovskii's theorem ( convex analysis)
Kanamori–McAloon theorem ( mathematical logic)
Kantorovich theorem ( functional analysis)
Kaplansky density theorem ( von Neumann algebra)
Kaplansky's theorem on quadratic forms ( number theory)
Karhunen–Loève theorem ( stochastic processes)
Karp–Lipton theorem ( computational complexity theory)
Katz–Lang finiteness theorem ( number theory)
Kawamata–Viehweg vanishing theorem ( algebraic geometry)
Kawasaki's theorem ( mathematics of paper folding)
Kelvin's circulation theorem ( physics)
Kempf–Ness theorem ( algebraic geometry)
Kharitonov's theorem ( control theory)
Khinchin's theorem ( probability)
Killing–Hopf theorem ( Riemannian geometry)
Kinoshita–Lee–Nauenberg theorem ( quantum field theory)
Kirby–Paris theorem ( proof theory)
Kirchberger's theorem ( discrete geometry)
Kirchhoff's theorem ( graph theory)
Kirszbraun theorem ( Lipschitz continuity)
Kleene fixed-point theorem ( order theory)
Kleene's recursion theorem ( recursion theory)
Knaster–Tarski theorem ( order theory)
Kneser's theorem ( combinatorics)
Kneser's theorem ( differential equations)
Kochen–Specker theorem ( physics)
Kodaira embedding theorem ( algebraic geometry)
Kodaira vanishing theorem ( complex manifold)
Koebe 1/4 theorem ( complex analysis)
Kolmogorov extension theorem ( stochastic processes)
Kolmogorov's three-series theorem ( mathematical series)
Kolmogorov–Arnold representation theorem ( real analysis, approximation theory)
Kolmogorov–Arnold–Moser theorem ( dynamical systems)
König's theorem ( bipartite graphs)
König's theorem ( physics)
König's theorem ( set theory, mathematical logic)
Kövari–Sós–Turán theorem ( graph theory)
Kraft–McMillan theorem ( coding theory)
Kramers' theorem ( physics)
Krein–Milman theorem ( mathematical analysis, discrete geometry)
Krener's theorem ( control theory)
Kronecker's theorem ( Diophantine approximation)
Kronecker–Weber theorem ( number theory)
Krull's principal ideal theorem ( commutative algebra)
Krull–Schmidt theorem ( group theory)
Kruskal's tree theorem ( order theory)
Kruskal–Katona theorem ( combinatorics)
Krylov–Bogolyubov theorem ( dynamical systems)
Kuhn's theorem ( game theory)
Kuiper's theorem ( operator theory, topology)
Künneth theorem ( algebraic topology)
Kurosh subgroup theorem ( group theory)
Kutta–Joukowski theorem ( physics)
Kōmura's theorem ( measure theory)

L

L-balance theorem ( finite groups)
Ladner's theorem ( computational complexity theory)
Lafforgue's theorem ( algebraic number theory)
Lagrange's theorem ( group theory)
Lagrange's theorem ( number theory)
Lagrange's four-square theorem ( number theory)
Lagrange inversion theorem ( mathematical analysis, combinatorics)
Lagrange reversion theorem ( mathematical analysis, combinatorics)
Lambek–Moser theorem ( combinatorics)
Lamé’s theorem ( computational complexity theory)
Lami's theorem ( statics)
Landau prime ideal theorem ( number theory)
Lasker–Noether theorem ( commutative algebra)
Lattice theorem ( abstract algebra)
Laurent expansion theorem ( complex analysis)
Lauricella's theorem ( functional analysis)
Lax–Milgram theorem ( partial differential equations)
Lax–Richtmyer theorem ( numerical analysis)
Lax–Wendroff theorem ( numerical analysis)
Lebesgue covering dimension ( dimension theory)
Lebesgue's decomposition theorem ( dimension theory)
Lebesgue's density theorem ( dimension theory)
Lee Hwa Chung theorem ( symplectic topology)
Lebesgue differentiation theorem ( real analysis)
Le Cam's theorem ( probability theory)
Lee–Yang theorem ( statistical mechanics)
Lefschetz fixed-point theorem ( fixed points, algebraic topology)
Lefschetz–Hopf theorem ( topology)
Lefschetz hyperplane theorem ( algebraic topology)
Lefschetz theorem on (1,1)-classes ( algebraic geometry)
Lehmann–Scheffé theorem ( statistics)
Leray's theorem ( algebraic geometry)
Leray–Hirsch theorem ( algebraic topology)
Lerner symmetry theorem ( economics)
Lester's theorem ( Euclidean plane geometry)
Levi's theorem ( Lie groups)
Levitzky's theorem ( ring theory)
Lévy continuity theorem ( probability)
Lévy's modulus of continuity theorem ( probability)
Lickorish twist theorem ( geometric topology)
Lickorish–Wallace theorem ( 3-manifolds)
Lie's theorem ( Lie algebra)
Lie's third theorem ( Lie group)
Lie–Palais theorem ( differential geometry)
Lindemann–Weierstrass theorem ( transcendental number theory)
Lie–Kolchin theorem ( algebraic groups, representation theory)
Liénard's theorem ( dynamical systems)
Lindelöf's theorem ( complex analysis)
Lindström's theorem ( mathematical logic)
Linear congruence theorem ( number theory, modular arithmetic)
Linear speedup theorem ( computational complexity theory)
Linnik's theorem ( number theory)
Lions–Lax–Milgram theorem ( partial differential equations)
Liouville's theorem ( complex analysis, entire functions)
Liouville's theorem ( conformal mappings)
Liouville's theorem ( Hamiltonian mechanics)
Löb's theorem ( mathematical logic)
Lochs's theorem ( number theory)
Looman–Menchoff theorem ( complex analysis)
Łoś' theorem ( model theory)
Lovelock's theorem ( physics)
Löwenheim–Skolem theorem ( mathematical logic)
Lucas's theorem ( number theory)
Lukacs's proportion-sum independence theorem ( probability)
Lumer–Phillips theorem ( semigroup theory)
Luzin's theorem ( real analysis)
Lyapunov–Malkin theorem ( stability theory)
Lyapunov's central limit theorem ( probability theory)

M

M. Riesz extension theorem ( functional analysis)
MacMahon Master theorem ( enumerative combinatorics)
Maharam's theorem ( measure theory)
Mahler's compactness theorem ( geometry of numbers)
Mahler's theorem ( p-adic analysis)
Maier's theorem ( analytic number theory)
Malgrange preparation theorem ( singularity theory)
Malgrange–Ehrenpreis theorem ( differential equations)
Malgrange–Zerner theorem ( complex analysis)
Manin–Drinfeld theorem ( number theory)
Mann's theorem ( number theory)
Marcinkiewicz theorem ( functional analysis)
Marden's theorem ( polynomials)
Mazur's control theorem ( number theory)
Mergelyan's theorem ( complex analysis)
Marginal value theorem ( biology, optimization)
Markus−Yamabe theorem ( dynamical systems)
Martingale representation theorem ( probability theory)
Mason–Stothers theorem ( polynomials)
Master theorem (analysis of algorithms) ( recurrence relations, asymptotic analysis)
Maschke's theorem ( group representations)
Matiyasevich's theorem ( mathematical logic)
Max flow min cut theorem ( graph theory)
Max Noether's theorem ( algebraic geometry)
Maximal ergodic theorem ( ergodic theory)
Maximum power theorem ( electrical circuits)
Maxwell's theorem ( probability theory)
May's theorem ( game theory)
Mazur–Ulam theorem ( normed spaces)
Mazur's torsion theorem ( algebraic geometry)
Mean value theorem ( calculus)
Measurable Riemann mapping theorem ( conformal mapping)
Mellin inversion theorem ( complex analysis)
Menelaus's theorem ( geometry)
Menger's theorem ( graph theory)
Mercer's theorem ( functional analysis)
Mermin–Wagner theorem ( physics)
Mertens's theorems ( number theory)
Metrization theorems ( topological spaces)
Meusnier's theorem ( differential geometry)
Midy's theorem ( number theory)
Mihăilescu's theorem ( number theory)
Milliken–Taylor theorem ( Ramsey theory)
Milliken's tree theorem ( Ramsey theory)
Milman–Pettis theorem ( Banach space)
Min-max theorem ( functional analysis)
Minimax theorem ( game theory)
Minkowski's theorem ( geometry of numbers)
Minkowski's second theorem ( geometry of numbers)
Minkowski–Hlawka theorem ( geometry of numbers)
Minlos's theorem ( functional analysis)
Miquel's theorem ( geometry)
Mirsky–Newman theorem ( group theory)
Mitchell's embedding theorem ( category theory)
Mittag-Leffler's theorem ( complex analysis)
Modigliani–Miller theorem ( finance theory)
Modularity theorem ( number theory)
Mohr–Mascheroni theorem ( geometry)
Monge's theorem ( geometry)
Monodromy theorem ( complex analysis)
Monotone class theorem ( measure theory)
Monotone convergence theorem ( mathematical analysis)
Monsky's theorem ( discrete geometry)
Montel's theorem ( complex analysis)
Moore–Aronszajn theorem ( Hilbert space)
Mordell–Weil theorem ( number theory)
Moreau's theorem ( convex analysis)
Morera's theorem ( complex analysis)
Morley's categoricity theorem ( model theory)
Morley's trisector theorem ( geometry)
Morton's theorem ( game theory)
Mostow rigidity theorem ( differential geometry)
Mountain pass theorem ( calculus of variations)
Moving equilibrium theorem ( economics)
Multinomial theorem ( algebra, combinatorics)
Multiplication theorem ( special functions)
Multiplicity-one theorem ( group representations)
Mumford vanishing theorem ( algebraic geometry)
Mutual fund separation theorem ( financial mathematics)
Müntz–Szász theorem ( functional analysis)
Mycielski's theorem ( graph theory)
Myers theorem ( differential geometry)
Myhill–Nerode theorem ( formal languages)

N

Nachbin's theorem( complex analysis)
Nagata's compactification theorem ( algebraic geometry)
Nagata–Smirnov metrization theorem( general topology)
Nagell–Lutz theorem ( elliptic curves)
Napoleon's theorem ( triangle geometry)
Nash embedding theorem ( differential geometry)
Nash–Moser theorem ( mathematical analysis)
Netto's theorem ( topology)
Newlander–Niremberg theorem ( differential geometry)
Newton's theorem about ovals ( curves)
Newton's theorem (quadrilateral) ( geometry)
Nicomachus's theorem ( number theory)
Nielsen fixed-point theorem ( fixed points)
Nielsen–Ninomiya theorem ( quantum field theory)
Nielsen realization problem ( geometric topology)
Nielsen–Schreier theorem ( free groups)
Niven's theorem ( number theory)
No-broadcasting theorem ( quantum information theory)
No-cloning theorem ( quantum computation)
No-communication theorem ( quantum information theory)
No-deleting theorem ( quantum information theory)
No free lunch theorem ( philosophy of mathematics)
No-hair theorem ( physics)
No-trade theorem ( economics)
No wandering domain theorem ( ergodic theory)
Noether's theorem ( Lie groups, calculus of variations, differential invariants, physics)
Noether's second theorem ( calculus of variations, physics)
Noether's theorem on rationality for surfaces ( algebraic surfaces)
Non-squeezing theorem ( symplectic geometry)
Norton's theorem ( electrical networks)
Novikov's compact leaf theorem ( foliations)
Nyquist–Shannon sampling theorem ( information theory)

O

P

PCP theorem ( computational complexity theory)
Paley's theorem ( algebra)
Paley–Wiener theorem ( Fourier transforms)
Pandya theorem ( nuclear physics)
Pappus's area theorem ( geometry)
Pappus's centroid theorem ( geometry)
Pappus's hexagon theorem ( geometry)
Paris–Harrington theorem ( mathematical logic)
Parovicenko's theorem ( topology)
Parallel axis theorem ( physics)
Parseval's theorem ( Fourier analysis)
Parthasarathy's theorem ( game theory)
Pascal's theorem ( conics)
Pasch's theorem ( order theory)
Peano existence theorem ( ordinary differential equations)
Peeling theorem ( physics)
Peetre theorem ( functional analysis)
Peixoto's theorem ( dynamical systems)
Penrose–Hawking singularity theorems ( physics)
Pentagonal number theorem ( number theory)
Perfect graph theorem ( graph theory)
Perlis theorem ( graph theory)
Perpendicular axis theorem ( physics)
Perron–Frobenius theorem ( matrix theory)
Peter–Weyl theorem ( representation theory)
Phragmén–Lindelöf theorem ( complex analysis)
Picard theorem ( complex analysis)
Picard–Lindelöf theorem ( ordinary differential equations)
Pick's theorem ( geometry)
Pickands–Balkema–de Haan theorem ( extreme value theory)
Pitman–Koopman–Darmois theorem ( statistics)
Pitot theorem ( plane geometry)
Pizza theorem ( geometry)
Pivot theorem ( circles)
Planar separator theorem ( graph theory)
Plancherel theorem ( Fourier analysis)
Plancherel theorem for spherical functions ( representation theory)
Poincaré–Bendixson theorem ( dynamical systems)
Poincaré–Birkhoff–Witt theorem ( universal enveloping algebras)
Poincaré–Hopf theorem ( differential topology)
Poincaré duality theorem ( algebraic topology of manifolds)
Poincaré recurrence theorem ( dynamical systems)
Poisson limit theorem ( probability)
Pólya enumeration theorem ( combinatorics)
Pomeranchuk's theorem ( physics)
Pompeiu's theorem ( Euclidean geometry)
Poncelet's closure theorem ( conics)
Poncelet–Steiner theorem ( geometry)
Positive energy theorem ( physics)
Post's theorem ( mathematical logic)
Poynting's theorem ( physics)
Preimage theorem ( differential topology)
Price's theorem ( general relativity)
Prime number theorem ( number theory)
Primitive element theorem ( field theory)
Principal axis theorem ( linear algebra)
Principal ideal theorem ( algebraic number theory)
Prokhorov's theorem ( measure theory)
Proper base change theorem ( algebraic geometry)
Proth's theorem ( number theory)
Pseudorandom generator theorem ( computational complexity theory)
Ptolemy's theorem ( geometry)
Puiseux's theorem ( algebraic geometry)
Pythagorean theorem ( geometry)

Q

R

Rademacher's theorem ( mathematical analysis)
Rado's theorem ( harmonic analysis)
Radon's theorem ( convex sets)
Radon–Nikodym theorem ( measure theory)
Raikov's theorem ( probability)
Ramanujam vanishing theorem ( algebraic geometry)
Ramanujan–Skolem's theorem ( Diophantine equations)
Ramsey's theorem ( graph theory, combinatorics)
Rank–nullity theorem ( linear algebra)
Rao–Blackwell theorem ( statistics)
Rashevsky–Chow theorem ( control theory)
Rational root theorem ( algebra, polynomials)
Rationality theorem ( politics)
Ratner's theorems ( ergodic theory)
Rauch comparison theorem ( Riemannian geometry)
Rédei's theorem ( group theory)
Reeb sphere theorem ( foliations)
Reeh–Schlieder theorem ( local quantum field theory)
Reflection theorem ( algebraic number theory)
Regev's theorem ( ring theory)
Reidemeister–Singer Theorem ( geometric topology)
Reider's theorem ( algebraic surfaces)
Remmert–Stein theorem ( complex analysis)
Residue theorem ( complex analysis)
Reuschle's theorem ( Euclidean geometry)
Reversed compound agent theorem ( probability)
Reynolds transport theorem ( fluid dynamics)
Ribet's theorem ( elliptic curves)
Rice's theorem ( recursion theory, computer science)
Rice–Shapiro theorem ( computer science)
Richardson's theorem ( mathematical logic)
Riemann mapping theorem ( complex analysis)
Riemann series theorem ( mathematical series)
Riemann's existence theorem ( algebraic geometry)
Riemann's theorem on removable singularities ( complex analysis)
Riemann–Roch theorem ( Riemann surfaces, algebraic curves)
Riemann–Roch theorem for smooth manifolds ( differential topology)
Riemann–Roch theorem for surfaces ( algebraic surfaces)
Riemann singularity theorem ( algebraic geometry)
Riesz representation theorem ( functional analysis, Hilbert space)
Riesz–Fischer theorem ( real analysis)
Riesz–Thorin theorem ( functional analysis)
Ringel–Youngs theorem ( graph theory)
Robbins theorem ( graph theory)
Robertson–Seymour theorem ( graph theory)
Robin's theorem ( number theory)
Robinson's joint consistency theorem ( mathematical logic)
Rokhlin's theorem ( geometric topology)
Rolle's theorem ( calculus)
Rosser's theorem ( number theory)
Rouché's theorem ( complex analysis)
Rouché–Capelli theorem ( Linear algebra)
Routh's theorem ( triangle geometry)
Routh–Hurwitz theorem ( polynomials)
Runge's theorem ( complex analysis)
Rybczynski theorem ( economics)
Ryll-Nardzewski fixed-point theorem ( functional analysis)

S

S–cobordism theorem ( differential topology)
Saccheri–Legendre theorem ( absolute geometry)
Sahlqvist correspondence theorem ( modal logic)
Saint-Venant's theorem ( physics)
Sard's theorem ( differential geometry)
Sarkovskii's theorem ( dynamical systems)
Savitch's theorem ( computational complexity theory)
Sazonov's theorem ( functional analysis)
Schaefer's dichotomy theorem ( computational complexity theory)
Schauder fixed-point theorem ( functional analysis)
Schilder's theorem ( stochastic processes)
Schnyder's theorem ( graph theory)
Schreier refinement theorem ( group theory)
Schröder–Bernstein theorems for operator algebras ( operator algebras)
Schroeder–Bernstein theorem for measurable spaces ( measure theory)
Schur's lemma ( representation theory)
Schur's theorem ( Ramsey theory)
Schur–Zassenhaus theorem ( group theory)
Schwartz kernel theorem ( generalized functions)
Schwartz–Zippel theorem ( polynomials)
Schwarz–Ahlfors–Pick theorem ( differential geometry)
Schwenk's theorem ( graph theory)
Scott core theorem ( 3-manifolds)
Seifert–van Kampen theorem ( algebraic topology)
Sela's theorem ( hyperbolic groups)
Separating axis theorem ( convex geometry)
Shannon–Hartley theorem ( information theory)
Shannon's expansion theorem ( Boolean algebra)
Shannon's source coding theorem ( information theory)
Shell theorem ( physics)
Shirshov–Cohn theorem ( Jordan algebras)
Shirshov–Witt theorem ( Lie algebras)
Shannon's theorem ( information theory)
Shift theorem ( differential operators)
Siegel–Walfisz theorem ( analytic number theory)
Silverman–Toeplitz theorem ( mathematical analysis)
Simplicial approximation theorem ( algebraic topology)
Sinkhorn's theorem ( matrix theory)
Sion's minimax theorem ( game theory)
Sipser–Lautemann theorem ( probabilistic complexity theory) ( structural complexity theory)
Siu's semicontinuity theorem ( complex analysis)
Six circles theorem ( circles)
Six exponentials theorem ( transcendental number theory)
Sklar's theorem ( statistics)
Skoda–El Mir theorem ( complex geometry)
Skolem–Mahler–Lech theorem ( number theory)
Skolem–Noether theorem ( simple algebras)
Skorokhod's embedding theorem ( statistics)
Skorokhod's representation theorem ( statistics)
Śleszyński–Pringsheim theorem ( continued fraction)
Slutsky's theorem ( probability theory)
Smn theorem ( recursion theory, computer science)
Sobolev embedding theorem ( mathematical analysis)
Sokhatsky–Weierstrass theorem ( complex analysis)
Solèr's theorem ( mathematical logic)
Solutions of a general cubic equation ( algebra)
Solutions of a general quartic equation ( algebra)
Solutions to Pell's equation ( number theory)
Sonnenschein–Mantel–Debreu Theorem ( economics)
Sophie Germain's theorem ( number theory)
Soul theorem ( Riemannian geometry)
Soundness theorem ( mathematical logic)
Space hierarchy theorem ( computational complexity theory)
Specht's theorem ( matrix theory)
Spectral theorem ( functional analysis)
Speedup theorem ( computational complexity theory)
Sperner's theorem ( combinatorics)
Sphere theorem ( Riemannian geometry)
Spin–statistics theorem ( physics)
Sprague–Grundy theorem ( combinatorial game theory)
Squeeze theorem ( mathematical analysis)
Stahl's theorem ( matrix analysis)
Stallings theorem about ends of groups ( group theory)
Stallings–Zeeman theorem ( algebraic topology)
Stanley's reciprocity theorem ( combinatorics)
Star of David theorem ( combinatorics)
Stark–Heegner theorem ( number theory)
Stein–Strömberg theorem ( measure theory)
Steiner–Lehmus theorem ( triangle geometry)
Steinhaus theorem ( measure theory)
Steinitz theorem ( graph theory)
Stewart's theorem ( plane geometry)
Stinespring factorization theorem ( operator theory)
Stirling's theorem ( mathematical analysis)
Stokes's theorem ( vector calculus, differential topology)
Stolper–Samuelson theorem ( economics)
Stolz–Cesàro theorem ( calculus)
Stone's representation theorem for Boolean algebras ( mathematical logic)
Stone's theorem on one-parameter unitary groups ( functional analysis)
Stone–Tukey theorem ( topology)
Stone–von Neumann theorem ( functional analysis, representation theory of the Heisenberg group, quantum mechanics)
Stone–Weierstrass theorem ( functional analysis)
Strassmann's theorem ( field theory)
Strong perfect graph theorem ( graph theory)
Structure theorem for finitely generated modules over a principal ideal domain ( abstract algebra)
Structure theorem for Gaussian measures ( measure theory)
Structured program theorem ( computer science)
Sturm's theorem ( theory of equations)
Sturm–Picone comparison theorem ( differential equations)
Subspace theorem ( Diophantine approximation)
Supersymmetry nonrenormalization theorems ( physics)
Supporting hyperplane theorem ( convex geometry)
Swan's theorem ( module theory)
Sylow theorems ( group theory)
Sylvester's determinant theorem ( determinants)
Sylvester's theorem ( number theory)
Sylvester pentahedral theorem ( invariant theory)
Sylvester's law of inertia ( quadratic forms)
Sylvester–Gallai theorem ( plane geometry)
Symmetric hypergraph theorem ( graph theory)
Symphonic theorem ( triangle geometry)
Synge's theorem ( Riemannian geometry)
Sz.-Nagy's dilation theorem ( operator theory)
Szegő limit theorems ( mathematical analysis)
Szemerédi's theorem ( combinatorics)
Szemerédi–Trotter theorem ( combinatorics)
Szpilrajn extension theorem ( axiom of choice)

T

Takagi existence theorem ( number theory)
Takens's theorem ( dynamical systems)
Tameness theorem ( 3-manifolds)
Tangent-secant theorem ( geometry)
Tarski's indefinability theorem ( mathematical logic)
Taylor's theorem ( calculus)
Taylor–Proudman theorem ( physics)
Tennenbaum's theorem ( model theory)
Thabit ibn Qurra's theorem ( amicable numbers)
Thales's theorem ( geometry)
The duality theorem ( topology)
Thébault's theorem ( geometry)
Theorem of de Moivre–Laplace ( probability theory)
Theorem of the cube ( algebraic varieties)
Theorem of the gnomon ( geometry)
Theorem of three moments ( physics)
Theorem on friends and strangers ( Ramsey theory)
Thévenin's theorem ( electrical circuits)
Thompson transitivity theorem ( finite groups)
Thompson uniqueness theorem ( finite groups)
Thomsen's theorem ( geometry)
Thue's theorem ( Diophantine equation)
Thue–Siegel–Roth theorem ( Diophantine approximation)
Tietze extension theorem ( general topology)
Tijdeman's theorem ( Diophantine equations)
Tikhonov fixed-point theorem ( functional analysis)
Time hierarchy theorem ( computational complexity theory)
Titchmarsh theorem ( integral transform)
Titchmarsh convolution theorem ( complex analysis)
Tits alternative ( geometric group theory)
Toda's theorem ( computational complexity theory)
Tomita's theorem ( operator algebras)
Tonelli's theorem ( functional analysis)
Topkis's theorem ( economics)
Toponogov's theorem ( Riemannian geometry)
Torelli theorem ( algebraic geometry)
Trichotomy theorem ( finite groups)
Trombi–Varadarajan theorem ( Lie group)
Trudinger's theorem ( functional analysis)
Tsen's theorem ( algebraic geometry)
Tunnell's theorem ( number theory)
Tutte theorem ( graph theory)
Turán's theorem ( graph theory)
Turán–Kubilius theorem ( number theory)
Tverberg's theorem ( discrete geometry)
Tychonoff's theorem ( general topology)

U

Ugly duckling theorem ( computer science)
Uncountability of the continuum ( set theory)
Uniformization theorem ( complex analysis, differential geometry)
Universal approximation theorem ( artificial neural networks)
Universal coefficient theorem ( algebraic topology)
Unmixedness theorem ( algebraic geometry)

V

Vafa–Witten theorem ( physics)
Valiant–Vazirani theorem ( computational complexity theory)
Van Aubel's theorem ( quadrilaterals)
Van der Waerden's theorem ( combinatorics)
Van Schooten's theorem ( Euclidean geometry)
Van Vleck's theorem ( mathematical analysis)
Vantieghems theorem ( number theory)
Varignon's theorem ( Euclidean geometry)
Vieta's formulas ( quadratics)
Vietoris–Begle mapping theorem ( algebraic topology)
Vinogradov's theorem ( number theory)
Virial theorem ( classical mechanics)
Vitali convergence theorem ( measure theory)
Vitali covering theorem ( measure theory)
Vitali theorem ( measure theory)
Vitali–Hahn–Saks theorem ( measure theory)
Viviani's theorem ( Euclidean geometry)
Von Neumann bicommutant theorem ( functional analysis)
Von Neumann's theorem ( operator theory)
Von Staudt–Clausen theorem ( number theory)

W

Wagner's theorem ( graph theory)
Waldhausen's theorem ( geometric topology)
Wallace–Bolyai–Gerwien theorem ( discrete geometry)
Walter theorem ( finite groups)
Weber's theorem ( algebraic curves)
Wedderburn's little theorem ( ring theory)
Wedderburn's theorem ( abstract algebra)
Weierstrass–Casorati theorem ( complex analysis)
Weierstrass factorization theorem ( complex analysis)
Weierstrass preparation theorem ( several complex variables, commutative algebra)
Weinberg–Witten theorem ( quantum field theory)
Well-ordering theorem ( mathematical logic)
Whitehead theorem ( homotopy theory)
Whitney embedding theorem ( differential manifolds)
Whitney extension theorem ( mathematical analysis)
Whitney immersion theorem ( differential topology)
Whitney–Graustein Theorem ( algebraic topology)
Wick's theorem ( physics)
Wiener's tauberian theorem ( real analysis)
Wiener–Ikehara theorem ( number theory)
Wigner–Eckart theorem ( Clebsch–Gordan coefficients)
Wilkie's theorem ( model theory)
Wilson's theorem ( number theory)
Witt's theorem ( quadratic forms)
Wold's theorem ( statistics)
Wolstenholme's theorem ( number theory)

Z

Z* theorem ( finite groups)
ZJ theorem ( finite groups)
Zahorski theorem ( real analysis)
Zariski's connectedness theorem ( algebraic geometry)
Zariski's main theorem ( algebraic geometry)
Zeckendorf's theorem ( number theory)
Zeilberger–Bressoud theorem ( combinatorics)
Zsigmondy's theorem ( number theory)

Retrieved from " https://en.wikipedia.org/?title=List_of_theorems&oldid=1220045825"

Hidden categories:

From Wikipedia, the free encyclopedia

This article may be in need of reorganization to comply with Wikipedia's layout guidelines. The reason given is: it should be sorted by subdiscipline rather than alphabetically for ease of navigation. Please help by editing the article to make improvements to the overall structure. (February 2024) ( Learn how and when to remove this template message)

This is a list of notable theorems. Lists of theorems and similar statements include:

Most of the results below come from pure mathematics, but some are from theoretical physics, economics, and other applied fields.

0–9

A

AF+BG theorem ( algebraic geometry)
ATS theorem ( number theory)
Abel's binomial theorem ( combinatorics)
Abel's curve theorem ( mathematical analysis)
Abel's theorem ( mathematical analysis)
Abelian and Tauberian theorems ( mathematical analysis)
Abel–Jacobi theorem ( algebraic geometry)
Abel–Ruffini theorem ( theory of equations, Galois theory)
Abhyankar–Moh theorem ( algebraic geometry)
Absolute convergence theorem ( mathematical series)
Acyclic models theorem ( algebraic topology)
Addition theorem ( algebraic geometry)
Adiabatic theorem ( physics)
Ado's theorem ( Lie algebra)
Akhiezer's theorem ( complex analysis)
Akra–Bazzi theorem ( computer science)
Alternate Interior Angles Theorem ( geometry)
Albert–Brauer–Hasse–Noether theorem ( algebras)
Alchian–Allen theorem ( economics)
Alexandrov's uniqueness theorem ( discrete geometry)
Alperin–Brauer–Gorenstein theorem ( finite groups)
Alspach's theorem ( graph theory)
Amitsur–Levitzki theorem ( linear algebra)
Analyst's traveling salesman theorem ( discrete mathematics)
Analytic Fredholm theorem ( functional analysis)
Anderson's theorem ( real analysis)
Andreotti–Frankel theorem ( algebraic geometry)
Angle bisector theorem ( Euclidean geometry)
Ankeny–Artin–Chowla theorem ( number theory)
Anne's theorem ( geometry)
Apéry's theorem ( number theory)
Apollonius's theorem ( plane geometry)
Appell–Humbert theorem ( complex manifold)
Arakelyan's theorem ( complex analysis)
Area theorem (conformal mapping) ( complex analysis)
Arithmetic Riemann–Roch theorem ( algebraic geometry)
Aronszajn–Smith theorem ( functional analysis)
Arrival theorem ( queueing theory)
Arrow's impossibility theorem ( game theory)
Arrow-Lind theorem ( welfare economics)
Art gallery theorem ( geometry)
Artin approximation theorem ( commutative algebra)
Artin–Schreier theorem ( real closed fields)
Artin–Verdier duality theorem ( number theory)
Artin–Wedderburn theorem ( abstract algebra)
Artin–Zorn theorem ( algebra)
Artstein's theorem ( control theory)
Arzelà–Ascoli theorem ( functional analysis)
Atiyah–Bott fixed-point theorem ( differential topology)
Atiyah–Segal completion theorem ( homotopy theory)
Atiyah–Singer index theorem ( elliptic differential operators, harmonic analysis)
Atkinson's theorem ( operator theory)
Aumann's agreement theorem ( statistics)
Autonomous convergence theorem ( dynamical systems)
Auxiliary polynomial theorem ( Diophantine approximation)
Ax–Grothendieck theorem ( model theory)
Ax–Kochen theorem ( number theory)
Aztec diamond theorem ( combinatorics)

B

BBD decomposition theorem ( algebraic geometry)
BEST theorem ( graph theory)
Babuška–Lax–Milgram theorem ( partial differential equations)
Baily–Borel theorem ( algebraic geometry)
Baire category theorem ( topology, metric spaces)
Baker's theorem ( number theory)
Balian–Low theorem ( Fourier analysis)
Balinski's theorem ( combinatorics)
Banach–Alaoglu theorem ( functional analysis)
Banach–Mazur theorem ( functional analysis)
Banach fixed-point theorem ( metric spaces, differential equations)
Banach–Steinhaus theorem ( functional analysis)
Banach–Stone theorem ( operator theory)
Banach–Tarski theorem ( measure theory)
Bang's theorem ( geometry)
Barban–Davenport–Halberstam theorem ( analytic number theory)
Barbier's theorem ( geometry)
Bapat–Beg theorem ( statistics)
Baranyai's theorem ( combinatorics)
Barwise compactness theorem ( mathematical logic)
Base change theorems ( algebraic geometry)
Basel problem ( mathematical analysis)
Bass's theorem ( group theory)
Basu's theorem ( statistics)
Bauer–Fike theorem ( spectral theory)
Bayes' theorem ( probability)
Beatty's theorem ( Diophantine approximation)
Beauville–Laszlo theorem ( vector bundles)
Beck's monadicity theorem ( category theory)
Beck's theorem ( incidence geometry)
Beckman–Quarles theorem ( Euclidean geometry)
Beer's theorem ( metric geometry)
Behnke–Stein theorem ( several complex variables)
Behrend's theorem ( number theory)
Bell's theorem ( quantum mechanics)
Beltrami's theorem ( Riemannian geometry)
Belyi's theorem ( algebraic geometry)
Bendixson–Dulac theorem ( dynamical systems)
Berge's theorem ( graph theory)
Berger–Kazdan comparison theorem ( Riemannian geometry)
Bernstein's theorem ( approximation theory)
Bernstein's theorem ( functional analysis)
Berry–Esséen theorem ( probability theory)
Bertini's theorem ( algebraic geometry)
Bertrand–Diquet–Puiseux theorem ( differential geometry)
Bertrand's ballot theorem ( probability theory, combinatorics)
Bertrand's postulate ( number theory)
Besicovitch covering theorem ( mathematical analysis)
Betti's theorem ( physics)
Beurling–Lax theorem ( Hardy spaces)
Bézout's theorem ( algebraic geometry)
Bing metrization theorem ( general topology)
Bing's recognition theorem ( geometric topology)
Binomial inverse theorem ( linear algebra)
Binomial theorem ( algebra, combinatorics)
Birch's theorem ( algebraic number theory)
Birkhoff–Grothendieck theorem ( complex geometry)
Birkhoff–Von Neumann theorem ( linear algebra)
Birkhoff's representation theorem ( lattice theory)
Birkhoff's theorem ( ergodic theory)
Birkhoff's theorem ( general relativity)
Bishop–Cannings theorem ( economics)
Blaschke selection theorem ( geometric topology)
Bloch's theorem ( complex analysis)
Blondel's theorem ( electric power) ( physics)
Blum's speedup theorem ( computational complexity theory)
Bôcher's theorem ( complex analysis)
Bochner's tube theorem ( complex analysis)
Bogoliubov–Parasyuk theorem ( quantum field theory)
Bohr–Mollerup theorem ( gamma function)
Bohr–van Leeuwen theorem ( physics)
Bolyai–Gerwien theorem ( discrete geometry)
Bolzano's theorem ( real analysis, calculus)
Bolzano–Weierstrass theorem ( real analysis, calculus)
Bombieri's theorem ( number theory)
Bombieri–Friedlander–Iwaniec theorem ( number theory)
Bondareva–Shapley theorem ( economics)
Bondy's theorem ( graph theory, combinatorics)
Bondy–Chvátal theorem ( graph theory)
Bonnet theorem ( differential geometry)
Boolean prime ideal theorem ( mathematical logic)
Borel–Bott–Weil theorem ( representation theory)
Borel–Carathéodory theorem ( complex analysis)
Borel–Weil theorem ( representation theory)
Borel determinacy theorem ( set theory)
Borel fixed-point theorem ( algebraic geometry)
Borsuk–Ulam theorem ( topology)
Bott periodicity theorem ( homotopy theory)
Bounded convergence theorem ( measure theory)
Bounded inverse theorem ( operator theory)
Bourbaki–Witt theorem ( order theory)
Brahmagupta theorem ( Euclidean geometry)
Branching theorem ( complex manifold)
Brauer–Nesbitt theorem ( representation theory of finite groups)
Brauer–Siegel theorem ( number theory)
Brauer–Suzuki theorem ( finite groups)
Brauer–Suzuki–Wall theorem ( group theory)
Brauer's theorem ( number theory)
Brauer's theorem on induced characters ( representation theory of finite groups)
Brauer's three main theorems ( finite groups)
Brauer–Cartan–Hua theorem ( ring theory)
Bregman–Minc inequality ( discrete mathematics)
Brianchon's theorem ( conics)
British flag theorem ( Euclidean geometry)
Brooks's theorem ( graph theory)
Brouwer fixed-point theorem ( topology)
Browder–Minty theorem ( operator theory)
Brown's representability theorem ( homotopy theory)
Bruck–Chowla–Ryser theorem ( combinatorics)
Brun's theorem ( number theory)
Brun–Titchmarsh theorem ( number theory)
Brunn–Minkowski theorem ( Riemannian geometry)
Büchi-Elgot-Trakhtenbrot theorem ( mathematical logic)
Buckingham π theorem ( dimensional analysis)
Burke's theorem ( probability theory, queueing theory)
Burnside's theorem ( group theory)
Busemann's theorem ( Euclidean geometry)
Butterfly theorem ( Euclidean geometry)
Byers–Yang theorem ( quantum mechanics)

C

C-theorem ( physics)
CAP theorem ( theoretical computer science)
CPCTC ( triangle geometry)
Cameron–Erdős theorem ( discrete mathematics)
Cameron–Martin theorem ( measure theory)
Cantor–Bernstein–Schroeder theorem ( set theory, cardinal numbers)
Cantor's intersection theorem ( real analysis)
Cantor's isomorphism theorem ( order theory)
Cantor's theorem ( set theory, Cantor's diagonal argument)
Carathéodory–Jacobi–Lie theorem ( symplectic topology)
Carathéodory's existence theorem ( ordinary differential equations)
Carathéodory's theorem ( complex analysis)
Carathéodory's theorem ( convex geometry)
Carathéodory's theorem ( measure theory)
Carathéodory's extension theorem ( measure theory)
Caristi fixed-point theorem ( fixed points)
Carleson–Jacobs theorem ( complex analysis)
Carlson's theorem ( complex analysis)
Carmichael's theorem ( Fibonacci numbers)
Carnot's theorem ( geometry)
Carnot's theorem ( thermodynamics)
Cartan–Dieudonné theorem ( group theory)
Cartan–Hadamard theorem ( Riemannian geometry)
Cartan–Kähler theorem ( partial differential equations)
Cartan–Kuranishi prolongation theorem ( partial differential equations)
Cartan's theorem ( Lie group)
Cartan's theorems A and B ( several complex variables)
Casey's theorem ( Euclidean geometry)
Castelnuovo theorem ( algebraic geometry)
Castelnuovo–de Franchis theorem ( algebraic geometry)
Castigliano's first and second theorems ( structural analysis)
Cauchy integral theorem ( complex analysis)
Cauchy–Hadamard theorem ( complex analysis)
Cauchy–Kowalevski theorem ( partial differential equations)
Cauchy's theorem ( geometry)
Cauchy's theorem ( finite groups)
Cayley–Bacharach theorem ( projective geometry)
Cayley–Hamilton theorem ( Linear algebra)
Cayley–Salmon theorem ( algebraic surfaces)
Cayley's theorem ( group theory)
Central limit theorem ( probability)
Cesàro's theorem ( real analysis)
Ceva's theorem ( geometry)
Chasles's theorems
Chebotarev's density theorem ( number theory)
Chen's theorem ( number theory)
Cheng's eigenvalue comparison theorem ( Riemannian geometry)
Chern–Gauss–Bonnet theorem ( differential geometry)
Chevalley's structure theorem ( algebraic geometry)
Chevalley–Shephard–Todd theorem ( finite group)
Chevalley–Warning theorem ( field theory)
Chinese remainder theorem ( number theory)
Choi's theorem on completely positive maps ( operator theory)
Chomsky–Schützenberger enumeration theorem ( formal language theory)
Chomsky–Schützenberger representation theorem ( formal language theory)
Choquet–Bishop–de Leeuw theorem ( functional analysis)
Chow's theorem ( algebraic geometry)
Chowla–Mordell theorem ( number theory)
Church–Rosser theorem ( lambda calculus)
Clairaut's theorem ( physics)
Clapeyron's theorem ( physics)
Clark–Ocone theorem ( stochastic processes)
Classification of finite simple groups ( group theory)
Classification of Platonic solids ( geometry)
Clausius theorem ( physics)
Clifford's circle theorems ( Euclidean plane geometry)
Clifford's theorem on special divisors ( algebraic curves)
Closed graph theorem ( functional analysis)
Closed range theorem ( functional analysis)
Cluster decomposition theorem ( quantum field theory)
Coase theorem ( economics)
Cochran's theorem ( statistics)
Codd's theorem ( relational model)
Cohen structure theorem ( commutative algebra)
Cohn's irreducibility criterion ( polynomials)
Coleman–Mandula theorem ( quantum field theory)
Commandino's theorem ( geometry)
Commutation theorem ( von Neumann algebra)
Compactness theorem ( mathematical logic)
Compression theorem ( computational complexity theory, structural complexity theory)
Conley–Zehnder theorem ( dynamical systems)
Conservativity theorem ( mathematical logic)
Constant chord theorem ( geometry)
Constant rank theorem ( multivariate calculus)
Continuous mapping theorem ( probability theory)
Convolution theorem ( Fourier transforms)
Conway circle theorem ( Euclidean plane geometry)
Cook's theorem ( computational complexity theory)
Corners theorem ( arithmetic combinatorics)
Corona theorem ( complex analysis)
Courcelle's theorem ( graph theory)
Cox's theorem ( probability)
Craig's theorem ( mathematical logic)
Craig's interpolation theorem ( mathematical logic)
Cramér’s decomposition theorem ( statistics)
Cramér's theorem (large deviations) ( probability)
Cramer's theorem (algebraic curves) ( analytic geometry)
Cramér–Wold theorem ( measure theory)
Critical line theorem ( number theory)
Crooks fluctuation theorem ( physics)
Crossbar theorem ( Euclidean plane geometry)
Crystallographic restriction theorem ( group theory, crystallography)
Curtis–Hedlund–Lyndon theorem ( cellular automata)
Cut-elimination theorem ( proof theory)

D

Dandelin's theorem ( solid geometry)
Danskin's theorem ( convex analysis)
Darboux's theorem ( real analysis)
Darboux's theorem ( symplectic topology)
Davenport–Schmidt theorem ( number theory, Diophantine approximations)
Dawson–Gärtner theorem ( asymptotic analysis)
de Branges's theorem ( complex analysis)
de Bruijn's theorem ( discrete geometry)
De Bruijn–Erdős theorem (incidence geometry)
De Bruijn–Erdős theorem (graph theory)
De Finetti's theorem ( probability)
De Franchis theorem ( Riemann surfaces)
De Gua's theorem ( geometry)
De Moivre's theorem ( complex analysis)
De Rham's theorem ( differential topology)
Deduction theorem ( logic)
Denjoy theorem ( dynamical systems)
Denjoy–Carleman theorem ( functional analysis)
Desargues's theorem ( projective geometry)
Descartes's theorem ( plane geometry)
Descartes's theorem on total angular defect ( polyhedra)
Diller–Dress theorem ( field theory)
Dilworth's theorem ( combinatorics, order theory)
Dinostratus' theorem ( geometry, analysis)
Dimension theorem for vector spaces ( vector spaces, linear algebra)
Dini's theorem ( analysis)
Dirac's theorems ( graph theory)
Dirichlet's approximation theorem ( Diophantine approximations)
Dirichlet's theorem on arithmetic progressions ( number theory)
Dirichlet's unit theorem ( algebraic number theory)
Disintegration theorem ( measure theory)
Divergence theorem ( vector calculus)
Dominated convergence theorem ( Lebesgue integration)
Donaldson's theorem ( differential topology)
Donsker's theorem ( probability theory)
Doob decomposition theorem ( stochastic processes)
Doob's martingale convergence theorems ( stochastic processes)
Doob–Meyer decomposition theorem ( stochastic processes)
Dudley's theorem ( probability)
Duggan–Schwartz theorem ( voting theory)
Dunford–Pettis theorem ( probability theory)
Dunford–Schwartz theorem ( functional analysis)

E

Earnshaw's theorem ( electrostatics)
Easton's theorem ( set theory)
Eberlein–Šmulian theorem ( functional analysis)
Edge-of-the-wedge theorem ( complex analysis)
Edgeworth's limit theorem ( economics)
Egorov's theorem ( measure theory)
Ehresmann's theorem ( differential topology)
Eilenberg–Zilber theorem ( algebraic topology)
Elitzur's theorem ( quantum field theory, statistical field theory)
Envelope theorem ( calculus of variations)
Equal incircles theorem ( Euclidean geometry)
Equidistribution theorem ( ergodic theory)
Equipartition theorem ( ergodic theory)
Erdős–Anning theorem ( discrete geometry)
Erdős–Dushnik–Miller theorem ( set theory)
Erdős–Gallai theorem ( graph theory)
Erdős–Ginzburg–Ziv theorem ( number theory)
Erdős–Kac theorem ( number theory)
Erdős–Ko–Rado theorem ( combinatorics)
Erdős–Nagy theorem ( discrete geometry)
Erdős–Pósa theorem ( graph theory)
Erdős–Rado theorem ( set theory)
Erdős–Stone theorem ( graph theory)
Erdős–Szekeres theorem ( discrete geometry)
Euclid's theorem ( number theory)
Euclid–Euler theorem ( number theory)
Euler's partition theorem ( number theory)
Euler's polyhedron theorem ( polyhedra)
Euler's quadrilateral theorem ( geometry)
Euler's rotation theorem ( geometry)
Euler's theorem ( differential geometry)
Euler's theorem ( number theory)
Euler's theorem in geometry ( triangle geometry)
Euler's theorem on homogeneous functions ( multivariate calculus)
Exchange theorem ( linear algebra)
Excision theorem ( homology theory)
Exterior angle theorem ( triangle geometry)
Extreme value theorem ( calculus)

F

F. and M. Riesz theorem ( measure theory)
FWL theorem ( economics)
Faltings's theorem ( Diophantine geometry)
Farrell–Markushevich theorem ( complex analysis)
Fáry's theorem ( graph theory)
Fáry–Milnor theorem ( knot theory)
Fatou's theorem ( complex analysis)
Fatou–Lebesgue theorem ( real analysis)
Faustman–Ohlin theorem ( economics)
Feferman–Vaught theorem ( model theory)
Feit–Thompson theorem ( finite groups)
Fenchel's duality theorem ( convex analysis)
Fenchel's theorem ( differential geometry)
Fenchel–Moreau theorem ( mathematical analysis)
Fermat's Last Theorem ( number theory)
Fermat's little theorem ( number theory)
Fermat's theorem on sums of two squares ( number theory)
Fermat's theorem (stationary points) ( real analysis)
Fermat polygonal number theorem ( number theory)
Fernique's theorem ( measure theory)
Ferrero–Washington theorem ( algebraic number theory)
Feuerbach's theorem ( geometry)
Fieller's theorem ( statistics)
Final value theorem ( mathematical analysis)
Finsler–Hadwiger theorem ( geometry)
Fisher separation theorem ( economics)
Fisher–Tippett–Gnedenko theorem ( statistics)
Fitting's theorem ( group theory)
Five circles theorem ( circles)
Five color theorem ( graph theory)
Fixed-point theorems in infinite-dimensional spaces
Floquet's theorem ( differential equations)
Fluctuation dissipation theorem ( physics)
Fluctuation theorem ( statistical mechanics)
Ford's theorem ( number theory)
Focal subgroup theorem ( abstract algebra)
Folk theorem ( game theory)
Foster's theorem ( statistics)
Four color theorem ( graph theory)
Four functions theorem ( combinatorics)
Four-vertex theorem ( differential geometry)
Fourier inversion theorem ( harmonic analysis)
Fourier theorem ( harmonic analysis)
Franel–Landau theorem ( number theory)
Fraňková–Helly selection theorem ( mathematical analysis)
Fredholm's theorem ( linear algebra)
Freidlin–Wentzell theorem ( stochastic processes)
Freiman's theorem ( number theory)
Freudenthal suspension theorem ( homotopy theory)
Freyd's adjoint functor theorem ( category theory)
Friedberg–Muchnik theorem ( mathematical logic)
Friendship theorem ( graph theory)
Frobenius determinant theorem ( group theory)
Frobenius reciprocity theorem ( group representations)
Frobenius theorem ( foliations)
Frobenius theorem ( abstract algebras)
Froda's theorem ( mathematical analysis)
Frucht's theorem ( graph theory)
Fubini's theorem ( integration)
Fubini's theorem on differentiation ( real analysis)
Fuchs's theorem ( differential equations)
Fuglede's theorem ( functional analysis)
Full employment theorem ( theoretical computer science)
Fulton–Hansen connectedness theorem ( algebraic geometry)
Fundamental theorem of algebra ( complex analysis)
Fundamental theorem of arbitrage-free pricing ( financial mathematics)
Fundamental theorem of arithmetic ( number theory)
Fundamental theorem of calculus ( calculus)
Fundamental theorem on homomorphisms ( abstract algebra)
Fundamental theorems of welfare economics ( economics)
Furry's theorem ( quantum field theory)

G

Galvin's theorem ( combinatorics)
Gauss theorem ( vector calculus)
Gamas's Theorem ( multilinear algebra)
Gauss's Theorema Egregium ( differential geometry)
Gauss–Bonnet theorem ( differential geometry)
Gauss–Lucas theorem ( complex analysis)
Gauss–Markov theorem ( statistics)
Gauss–Wantzel theorem ( geometry)
Gelfand–Mazur theorem ( Banach algebra)
Gelfand–Naimark theorem ( functional analysis)
Gelfond–Schneider theorem ( transcendental number theory)
Gell-Mann and Low theorem ( quantum field theory)
Geometric mean theorem ( geometry)
Geroch's splitting theorem ( differential geometry)
Gershgorin circle theorem ( matrix theory)
Gibbard–Satterthwaite theorem ( voting methods)
Girsanov's theorem ( stochastic processes)
Glaisher's theorem ( number theory)
Gleason's theorem ( Hilbert space)
Glivenko's theorem ( mathematical logic)
Glivenko's theorem ( probability)
Glivenko–Cantelli theorem ( probability)
Goddard–Thorn theorem ( vertex algebras)
Gödel's completeness theorem ( mathematical logic)
Gödel's incompleteness theorem ( mathematical logic)
Godunov's theorem ( numerical analysis)
Going-up and going-down theorems ( commutative algebra)
Goldberg–Sachs theorem ( physics)
Goldie's theorem ( ring theory)
Goldstine theorem ( functional analysis)
Goldstone's theorem ( physics)
Golod–Shafarevich theorem ( group theory)
Gomory's theorem ( mathematical logic)
Goodstein's theorem ( mathematical logic)
Gordon–Newell theorem ( queueing theory)
Gottesman–Knill theorem ( quantum computation)
Gradient theorem ( vector calculus)
Graph structure theorem ( graph theory)
Grauert–Riemenschneider vanishing theorem ( algebraic geometry)
Great orthogonality theorem ( group theory)
Green–Tao theorem ( number theory)
Green's theorem ( vector calculus)
Grinberg's theorem ( graph theory)
Gromov's compactness theorem ( Riemannian geometry)
Gromov's compactness theorem ( symplectic topology)
Gromov's theorem on groups of polynomial growth ( geometric group theory)
Gromov–Ruh theorem ( differential geometry)
Gross–Zagier theorem ( number theory)
Grothendieck–Hirzebruch–Riemann–Roch theorem ( algebraic geometry)
Grothendieck's connectedness theorem ( algebraic geometry)
Grötzsch's theorem ( graph theory)
Grunsky's theorem ( complex analysis)
Grunwald–Wang theorem ( algebraic number theory)
Grushko theorem ( group theory)

H

H-cobordism theorem ( differential topology)
H-theorem ( thermodynamics)
Haag's theorem ( quantum field theory)
Haag–Łopuszański–Sohnius theorem ( physics)
Haboush's theorem ( algebraic groups, representation theory, invariant theory)
Hadamard three-circle theorem ( complex analysis)
Hadamard three-lines theorem ( complex analysis)
Hadwiger's theorem ( geometry, measure theory)
Hahn decomposition theorem ( measure theory)
Hahn embedding theorem ( ordered groups)
Hairy ball theorem ( algebraic topology)
Hahn–Banach theorem ( functional analysis)
Hahn–Kolmogorov theorem ( measure theory)
Hahn–Mazurkiewicz theorem ( continuum theory)
Hajnal–Szemerédi theorem ( graph theory)
Hales–Jewett theorem ( combinatorics)
Hall's marriage theorem ( combinatorics)
Halpern–Läuchli theorem ( Ramsey theory)
Ham sandwich theorem ( topology)
Hammersley–Clifford theorem ( probability)
Hardy's theorem ( complex analysis)
Hardy–Littlewood maximal theorem ( real analysis)
Hardy–Littlewood tauberian theorem ( mathematical analysis)
Hardy–Ramanujan theorem ( number theory)
Harish–Chandra theorem ( representation theory)
Harish–Chandra's regularity theorem ( representation theory)
Harnack's curve theorem ( real algebraic geometry)
Harnack's theorem ( complex analysis)
Hartman–Grobman theorem ( dynamical systems)
Hartogs–Rosenthal theorem ( complex analysis)
Hartogs's theorem ( complex analysis)
Hartogs's extension theorem ( several complex variables)
Hasse norm theorem ( number theory)
Hasse's theorem on elliptic curves ( number theory)
Hasse–Arf theorem ( local class field theory)
Hasse–Minkowski theorem ( number theory)
Heckscher–Ohlin theorem ( economics)
Heine–Borel theorem ( real analysis)
Heine–Cantor theorem ( metric geometry)
Hellinger–Toeplitz theorem ( functional analysis)
Hellmann–Feynman theorem ( physics)
Helly–Bray theorem ( probability theory)
Helly's selection theorem ( mathematical analysis)
Helly's theorem ( convex sets)
Helmholtz theorem (classical mechanics) ( physics)
Helmholtz's theorems ( physics)
Herbrand's theorem ( logic)
Herbrand–Ribet theorem ( cyclotomic fields)
Higman's embedding theorem ( group theory)
Hilbert's basis theorem ( commutative algebra, invariant theory)
Hilbert's Nullstellensatz (theorem of zeroes) ( commutative algebra, algebraic geometry)
Hilbert–Schmidt theorem ( functional analysis)
Hilbert–Speiser theorem ( cyclotomic fields)
Hilbert–Waring theorem ( number theory)
Hilbert's irreducibility theorem ( number theory)
Hilbert's syzygy theorem ( commutative algebra)
Hilbert's theorem ( differential geometry)
Hilbert's theorem 90 ( number theory)
Hilbert projection theorem ( convex analysis)
Hille–Yosida theorem ( functional analysis)
Hindman's theorem ( Ramsey theory)
Hinge theorem ( geometry)
Hironaka theorem ( algebraic geometry)
Hirzebruch signature theorem ( topology, algebraic geometry)
Hirzebruch–Riemann–Roch theorem ( complex manifolds)
Hjelmslev's theorem ( geometry)
Hobby–Rice theorem ( mathematical analysis)
Hodge index theorem ( algebraic surfaces)
Hohenberg–Kohn theorems ( density functional theory)
Hölder's theorem ( mathematical analysis)
Holditch's theorem ( plane geometry)
Holland's schema theorem ( genetic algorithm)
Holmström's theorem ( economics)
Hopf–Rinow theorem ( differential geometry)
Hurewicz theorem ( algebraic topology)
Hurwitz's automorphisms theorem ( algebraic curves)
Hurwitz's theorem ( complex analysis)
Hurwitz's theorem ( normed division algebras)
Hurwitz's theorem ( number theory)

I

Identity theorem ( complex analysis)
Identity theorem for Riemann surfaces ( Riemann surfaces)
Immerman–Szelepcsényi theorem ( computational complexity theory)
Implicit function theorem ( vector calculus)
Impossibility of angle trisection ( geometry)
Increment theorem ( mathematical analysis)
Independence of the axiom of choice ( mathematical logic)
Independence of the continuum hypothesis ( mathematical logic)
Independence of the parallel postulate ( geometry)
Infinite monkey theorem ( probability)
Integral root theorem ( algebra, polynomials)
Initial value theorem ( integral transform)
Integral representation theorem for classical Wiener space ( measure theory)
Intermediate value theorem ( calculus)
Intercept theorem ( Euclidean geometry)
Intersecting chords theorem ( Euclidean geometry)
Intersecting secants theorem ( Euclidean geometry)
Intersection theorem ( projective geometry)
Inverse eigenvalues theorem ( linear algebra)
Inverse function theorem ( vector calculus)
Ionescu-Tulcea theorem ( probability theory)
Isomorphism extension theorem ( abstract algebra)
Isomorphism theorem ( abstract algebra)
Isoperimetric theorem ( curves, calculus of variations)

J

K

Kachurovskii's theorem ( convex analysis)
Kanamori–McAloon theorem ( mathematical logic)
Kantorovich theorem ( functional analysis)
Kaplansky density theorem ( von Neumann algebra)
Kaplansky's theorem on quadratic forms ( number theory)
Karhunen–Loève theorem ( stochastic processes)
Karp–Lipton theorem ( computational complexity theory)
Katz–Lang finiteness theorem ( number theory)
Kawamata–Viehweg vanishing theorem ( algebraic geometry)
Kawasaki's theorem ( mathematics of paper folding)
Kelvin's circulation theorem ( physics)
Kempf–Ness theorem ( algebraic geometry)
Kharitonov's theorem ( control theory)
Khinchin's theorem ( probability)
Killing–Hopf theorem ( Riemannian geometry)
Kinoshita–Lee–Nauenberg theorem ( quantum field theory)
Kirby–Paris theorem ( proof theory)
Kirchberger's theorem ( discrete geometry)
Kirchhoff's theorem ( graph theory)
Kirszbraun theorem ( Lipschitz continuity)
Kleene fixed-point theorem ( order theory)
Kleene's recursion theorem ( recursion theory)
Knaster–Tarski theorem ( order theory)
Kneser's theorem ( combinatorics)
Kneser's theorem ( differential equations)
Kochen–Specker theorem ( physics)
Kodaira embedding theorem ( algebraic geometry)
Kodaira vanishing theorem ( complex manifold)
Koebe 1/4 theorem ( complex analysis)
Kolmogorov extension theorem ( stochastic processes)
Kolmogorov's three-series theorem ( mathematical series)
Kolmogorov–Arnold representation theorem ( real analysis, approximation theory)
Kolmogorov–Arnold–Moser theorem ( dynamical systems)
König's theorem ( bipartite graphs)
König's theorem ( physics)
König's theorem ( set theory, mathematical logic)
Kövari–Sós–Turán theorem ( graph theory)
Kraft–McMillan theorem ( coding theory)
Kramers' theorem ( physics)
Krein–Milman theorem ( mathematical analysis, discrete geometry)
Krener's theorem ( control theory)
Kronecker's theorem ( Diophantine approximation)
Kronecker–Weber theorem ( number theory)
Krull's principal ideal theorem ( commutative algebra)
Krull–Schmidt theorem ( group theory)
Kruskal's tree theorem ( order theory)
Kruskal–Katona theorem ( combinatorics)
Krylov–Bogolyubov theorem ( dynamical systems)
Kuhn's theorem ( game theory)
Kuiper's theorem ( operator theory, topology)
Künneth theorem ( algebraic topology)
Kurosh subgroup theorem ( group theory)
Kutta–Joukowski theorem ( physics)
Kōmura's theorem ( measure theory)

L

L-balance theorem ( finite groups)
Ladner's theorem ( computational complexity theory)
Lafforgue's theorem ( algebraic number theory)
Lagrange's theorem ( group theory)
Lagrange's theorem ( number theory)
Lagrange's four-square theorem ( number theory)
Lagrange inversion theorem ( mathematical analysis, combinatorics)
Lagrange reversion theorem ( mathematical analysis, combinatorics)
Lambek–Moser theorem ( combinatorics)
Lamé’s theorem ( computational complexity theory)
Lami's theorem ( statics)
Landau prime ideal theorem ( number theory)
Lasker–Noether theorem ( commutative algebra)
Lattice theorem ( abstract algebra)
Laurent expansion theorem ( complex analysis)
Lauricella's theorem ( functional analysis)
Lax–Milgram theorem ( partial differential equations)
Lax–Richtmyer theorem ( numerical analysis)
Lax–Wendroff theorem ( numerical analysis)
Lebesgue covering dimension ( dimension theory)
Lebesgue's decomposition theorem ( dimension theory)
Lebesgue's density theorem ( dimension theory)
Lee Hwa Chung theorem ( symplectic topology)
Lebesgue differentiation theorem ( real analysis)
Le Cam's theorem ( probability theory)
Lee–Yang theorem ( statistical mechanics)
Lefschetz fixed-point theorem ( fixed points, algebraic topology)
Lefschetz–Hopf theorem ( topology)
Lefschetz hyperplane theorem ( algebraic topology)
Lefschetz theorem on (1,1)-classes ( algebraic geometry)
Lehmann–Scheffé theorem ( statistics)
Leray's theorem ( algebraic geometry)
Leray–Hirsch theorem ( algebraic topology)
Lerner symmetry theorem ( economics)
Lester's theorem ( Euclidean plane geometry)
Levi's theorem ( Lie groups)
Levitzky's theorem ( ring theory)
Lévy continuity theorem ( probability)
Lévy's modulus of continuity theorem ( probability)
Lickorish twist theorem ( geometric topology)
Lickorish–Wallace theorem ( 3-manifolds)
Lie's theorem ( Lie algebra)
Lie's third theorem ( Lie group)
Lie–Palais theorem ( differential geometry)
Lindemann–Weierstrass theorem ( transcendental number theory)
Lie–Kolchin theorem ( algebraic groups, representation theory)
Liénard's theorem ( dynamical systems)
Lindelöf's theorem ( complex analysis)
Lindström's theorem ( mathematical logic)
Linear congruence theorem ( number theory, modular arithmetic)
Linear speedup theorem ( computational complexity theory)
Linnik's theorem ( number theory)
Lions–Lax–Milgram theorem ( partial differential equations)
Liouville's theorem ( complex analysis, entire functions)
Liouville's theorem ( conformal mappings)
Liouville's theorem ( Hamiltonian mechanics)
Löb's theorem ( mathematical logic)
Lochs's theorem ( number theory)
Looman–Menchoff theorem ( complex analysis)
Łoś' theorem ( model theory)
Lovelock's theorem ( physics)
Löwenheim–Skolem theorem ( mathematical logic)
Lucas's theorem ( number theory)
Lukacs's proportion-sum independence theorem ( probability)
Lumer–Phillips theorem ( semigroup theory)
Luzin's theorem ( real analysis)
Lyapunov–Malkin theorem ( stability theory)
Lyapunov's central limit theorem ( probability theory)

M

M. Riesz extension theorem ( functional analysis)
MacMahon Master theorem ( enumerative combinatorics)
Maharam's theorem ( measure theory)
Mahler's compactness theorem ( geometry of numbers)
Mahler's theorem ( p-adic analysis)
Maier's theorem ( analytic number theory)
Malgrange preparation theorem ( singularity theory)
Malgrange–Ehrenpreis theorem ( differential equations)
Malgrange–Zerner theorem ( complex analysis)
Manin–Drinfeld theorem ( number theory)
Mann's theorem ( number theory)
Marcinkiewicz theorem ( functional analysis)
Marden's theorem ( polynomials)
Mazur's control theorem ( number theory)
Mergelyan's theorem ( complex analysis)
Marginal value theorem ( biology, optimization)
Markus−Yamabe theorem ( dynamical systems)
Martingale representation theorem ( probability theory)
Mason–Stothers theorem ( polynomials)
Master theorem (analysis of algorithms) ( recurrence relations, asymptotic analysis)
Maschke's theorem ( group representations)
Matiyasevich's theorem ( mathematical logic)
Max flow min cut theorem ( graph theory)
Max Noether's theorem ( algebraic geometry)
Maximal ergodic theorem ( ergodic theory)
Maximum power theorem ( electrical circuits)
Maxwell's theorem ( probability theory)
May's theorem ( game theory)
Mazur–Ulam theorem ( normed spaces)
Mazur's torsion theorem ( algebraic geometry)
Mean value theorem ( calculus)
Measurable Riemann mapping theorem ( conformal mapping)
Mellin inversion theorem ( complex analysis)
Menelaus's theorem ( geometry)
Menger's theorem ( graph theory)
Mercer's theorem ( functional analysis)
Mermin–Wagner theorem ( physics)
Mertens's theorems ( number theory)
Metrization theorems ( topological spaces)
Meusnier's theorem ( differential geometry)
Midy's theorem ( number theory)
Mihăilescu's theorem ( number theory)
Milliken–Taylor theorem ( Ramsey theory)
Milliken's tree theorem ( Ramsey theory)
Milman–Pettis theorem ( Banach space)
Min-max theorem ( functional analysis)
Minimax theorem ( game theory)
Minkowski's theorem ( geometry of numbers)
Minkowski's second theorem ( geometry of numbers)
Minkowski–Hlawka theorem ( geometry of numbers)
Minlos's theorem ( functional analysis)
Miquel's theorem ( geometry)
Mirsky–Newman theorem ( group theory)
Mitchell's embedding theorem ( category theory)
Mittag-Leffler's theorem ( complex analysis)
Modigliani–Miller theorem ( finance theory)
Modularity theorem ( number theory)
Mohr–Mascheroni theorem ( geometry)
Monge's theorem ( geometry)
Monodromy theorem ( complex analysis)
Monotone class theorem ( measure theory)
Monotone convergence theorem ( mathematical analysis)
Monsky's theorem ( discrete geometry)
Montel's theorem ( complex analysis)
Moore–Aronszajn theorem ( Hilbert space)
Mordell–Weil theorem ( number theory)
Moreau's theorem ( convex analysis)
Morera's theorem ( complex analysis)
Morley's categoricity theorem ( model theory)
Morley's trisector theorem ( geometry)
Morton's theorem ( game theory)
Mostow rigidity theorem ( differential geometry)
Mountain pass theorem ( calculus of variations)
Moving equilibrium theorem ( economics)
Multinomial theorem ( algebra, combinatorics)
Multiplication theorem ( special functions)
Multiplicity-one theorem ( group representations)
Mumford vanishing theorem ( algebraic geometry)
Mutual fund separation theorem ( financial mathematics)
Müntz–Szász theorem ( functional analysis)
Mycielski's theorem ( graph theory)
Myers theorem ( differential geometry)
Myhill–Nerode theorem ( formal languages)

N

Nachbin's theorem( complex analysis)
Nagata's compactification theorem ( algebraic geometry)
Nagata–Smirnov metrization theorem( general topology)
Nagell–Lutz theorem ( elliptic curves)
Napoleon's theorem ( triangle geometry)
Nash embedding theorem ( differential geometry)
Nash–Moser theorem ( mathematical analysis)
Netto's theorem ( topology)
Newlander–Niremberg theorem ( differential geometry)
Newton's theorem about ovals ( curves)
Newton's theorem (quadrilateral) ( geometry)
Nicomachus's theorem ( number theory)
Nielsen fixed-point theorem ( fixed points)
Nielsen–Ninomiya theorem ( quantum field theory)
Nielsen realization problem ( geometric topology)
Nielsen–Schreier theorem ( free groups)
Niven's theorem ( number theory)
No-broadcasting theorem ( quantum information theory)
No-cloning theorem ( quantum computation)
No-communication theorem ( quantum information theory)
No-deleting theorem ( quantum information theory)
No free lunch theorem ( philosophy of mathematics)
No-hair theorem ( physics)
No-trade theorem ( economics)
No wandering domain theorem ( ergodic theory)
Noether's theorem ( Lie groups, calculus of variations, differential invariants, physics)
Noether's second theorem ( calculus of variations, physics)
Noether's theorem on rationality for surfaces ( algebraic surfaces)
Non-squeezing theorem ( symplectic geometry)
Norton's theorem ( electrical networks)
Novikov's compact leaf theorem ( foliations)
Nyquist–Shannon sampling theorem ( information theory)

O

P

PCP theorem ( computational complexity theory)
Paley's theorem ( algebra)
Paley–Wiener theorem ( Fourier transforms)
Pandya theorem ( nuclear physics)
Pappus's area theorem ( geometry)
Pappus's centroid theorem ( geometry)
Pappus's hexagon theorem ( geometry)
Paris–Harrington theorem ( mathematical logic)
Parovicenko's theorem ( topology)
Parallel axis theorem ( physics)
Parseval's theorem ( Fourier analysis)
Parthasarathy's theorem ( game theory)
Pascal's theorem ( conics)
Pasch's theorem ( order theory)
Peano existence theorem ( ordinary differential equations)
Peeling theorem ( physics)
Peetre theorem ( functional analysis)
Peixoto's theorem ( dynamical systems)
Penrose–Hawking singularity theorems ( physics)
Pentagonal number theorem ( number theory)
Perfect graph theorem ( graph theory)
Perlis theorem ( graph theory)
Perpendicular axis theorem ( physics)
Perron–Frobenius theorem ( matrix theory)
Peter–Weyl theorem ( representation theory)
Phragmén–Lindelöf theorem ( complex analysis)
Picard theorem ( complex analysis)
Picard–Lindelöf theorem ( ordinary differential equations)
Pick's theorem ( geometry)
Pickands–Balkema–de Haan theorem ( extreme value theory)
Pitman–Koopman–Darmois theorem ( statistics)
Pitot theorem ( plane geometry)
Pizza theorem ( geometry)
Pivot theorem ( circles)
Planar separator theorem ( graph theory)
Plancherel theorem ( Fourier analysis)
Plancherel theorem for spherical functions ( representation theory)
Poincaré–Bendixson theorem ( dynamical systems)
Poincaré–Birkhoff–Witt theorem ( universal enveloping algebras)
Poincaré–Hopf theorem ( differential topology)
Poincaré duality theorem ( algebraic topology of manifolds)
Poincaré recurrence theorem ( dynamical systems)
Poisson limit theorem ( probability)
Pólya enumeration theorem ( combinatorics)
Pomeranchuk's theorem ( physics)
Pompeiu's theorem ( Euclidean geometry)
Poncelet's closure theorem ( conics)
Poncelet–Steiner theorem ( geometry)
Positive energy theorem ( physics)
Post's theorem ( mathematical logic)
Poynting's theorem ( physics)
Preimage theorem ( differential topology)
Price's theorem ( general relativity)
Prime number theorem ( number theory)
Primitive element theorem ( field theory)
Principal axis theorem ( linear algebra)
Principal ideal theorem ( algebraic number theory)
Prokhorov's theorem ( measure theory)
Proper base change theorem ( algebraic geometry)
Proth's theorem ( number theory)
Pseudorandom generator theorem ( computational complexity theory)
Ptolemy's theorem ( geometry)
Puiseux's theorem ( algebraic geometry)
Pythagorean theorem ( geometry)

Q

R

Rademacher's theorem ( mathematical analysis)
Rado's theorem ( harmonic analysis)
Radon's theorem ( convex sets)
Radon–Nikodym theorem ( measure theory)
Raikov's theorem ( probability)
Ramanujam vanishing theorem ( algebraic geometry)
Ramanujan–Skolem's theorem ( Diophantine equations)
Ramsey's theorem ( graph theory, combinatorics)
Rank–nullity theorem ( linear algebra)
Rao–Blackwell theorem ( statistics)
Rashevsky–Chow theorem ( control theory)
Rational root theorem ( algebra, polynomials)
Rationality theorem ( politics)
Ratner's theorems ( ergodic theory)
Rauch comparison theorem ( Riemannian geometry)
Rédei's theorem ( group theory)
Reeb sphere theorem ( foliations)
Reeh–Schlieder theorem ( local quantum field theory)
Reflection theorem ( algebraic number theory)
Regev's theorem ( ring theory)
Reidemeister–Singer Theorem ( geometric topology)
Reider's theorem ( algebraic surfaces)
Remmert–Stein theorem ( complex analysis)
Residue theorem ( complex analysis)
Reuschle's theorem ( Euclidean geometry)
Reversed compound agent theorem ( probability)
Reynolds transport theorem ( fluid dynamics)
Ribet's theorem ( elliptic curves)
Rice's theorem ( recursion theory, computer science)
Rice–Shapiro theorem ( computer science)
Richardson's theorem ( mathematical logic)
Riemann mapping theorem ( complex analysis)
Riemann series theorem ( mathematical series)
Riemann's existence theorem ( algebraic geometry)
Riemann's theorem on removable singularities ( complex analysis)
Riemann–Roch theorem ( Riemann surfaces, algebraic curves)
Riemann–Roch theorem for smooth manifolds ( differential topology)
Riemann–Roch theorem for surfaces ( algebraic surfaces)
Riemann singularity theorem ( algebraic geometry)
Riesz representation theorem ( functional analysis, Hilbert space)
Riesz–Fischer theorem ( real analysis)
Riesz–Thorin theorem ( functional analysis)
Ringel–Youngs theorem ( graph theory)
Robbins theorem ( graph theory)
Robertson–Seymour theorem ( graph theory)
Robin's theorem ( number theory)
Robinson's joint consistency theorem ( mathematical logic)
Rokhlin's theorem ( geometric topology)
Rolle's theorem ( calculus)
Rosser's theorem ( number theory)
Rouché's theorem ( complex analysis)
Rouché–Capelli theorem ( Linear algebra)
Routh's theorem ( triangle geometry)
Routh–Hurwitz theorem ( polynomials)
Runge's theorem ( complex analysis)
Rybczynski theorem ( economics)
Ryll-Nardzewski fixed-point theorem ( functional analysis)

S

S–cobordism theorem ( differential topology)
Saccheri–Legendre theorem ( absolute geometry)
Sahlqvist correspondence theorem ( modal logic)
Saint-Venant's theorem ( physics)
Sard's theorem ( differential geometry)
Sarkovskii's theorem ( dynamical systems)
Savitch's theorem ( computational complexity theory)
Sazonov's theorem ( functional analysis)
Schaefer's dichotomy theorem ( computational complexity theory)
Schauder fixed-point theorem ( functional analysis)
Schilder's theorem ( stochastic processes)
Schnyder's theorem ( graph theory)
Schreier refinement theorem ( group theory)
Schröder–Bernstein theorems for operator algebras ( operator algebras)
Schroeder–Bernstein theorem for measurable spaces ( measure theory)
Schur's lemma ( representation theory)
Schur's theorem ( Ramsey theory)
Schur–Zassenhaus theorem ( group theory)
Schwartz kernel theorem ( generalized functions)
Schwartz–Zippel theorem ( polynomials)
Schwarz–Ahlfors–Pick theorem ( differential geometry)
Schwenk's theorem ( graph theory)
Scott core theorem ( 3-manifolds)
Seifert–van Kampen theorem ( algebraic topology)
Sela's theorem ( hyperbolic groups)
Separating axis theorem ( convex geometry)
Shannon–Hartley theorem ( information theory)
Shannon's expansion theorem ( Boolean algebra)
Shannon's source coding theorem ( information theory)
Shell theorem ( physics)
Shirshov–Cohn theorem ( Jordan algebras)
Shirshov–Witt theorem ( Lie algebras)
Shannon's theorem ( information theory)
Shift theorem ( differential operators)
Siegel–Walfisz theorem ( analytic number theory)
Silverman–Toeplitz theorem ( mathematical analysis)
Simplicial approximation theorem ( algebraic topology)
Sinkhorn's theorem ( matrix theory)
Sion's minimax theorem ( game theory)
Sipser–Lautemann theorem ( probabilistic complexity theory) ( structural complexity theory)
Siu's semicontinuity theorem ( complex analysis)
Six circles theorem ( circles)
Six exponentials theorem ( transcendental number theory)
Sklar's theorem ( statistics)
Skoda–El Mir theorem ( complex geometry)
Skolem–Mahler–Lech theorem ( number theory)
Skolem–Noether theorem ( simple algebras)
Skorokhod's embedding theorem ( statistics)
Skorokhod's representation theorem ( statistics)
Śleszyński–Pringsheim theorem ( continued fraction)
Slutsky's theorem ( probability theory)
Smn theorem ( recursion theory, computer science)
Sobolev embedding theorem ( mathematical analysis)
Sokhatsky–Weierstrass theorem ( complex analysis)
Solèr's theorem ( mathematical logic)
Solutions of a general cubic equation ( algebra)
Solutions of a general quartic equation ( algebra)
Solutions to Pell's equation ( number theory)
Sonnenschein–Mantel–Debreu Theorem ( economics)
Sophie Germain's theorem ( number theory)
Soul theorem ( Riemannian geometry)
Soundness theorem ( mathematical logic)
Space hierarchy theorem ( computational complexity theory)
Specht's theorem ( matrix theory)
Spectral theorem ( functional analysis)
Speedup theorem ( computational complexity theory)
Sperner's theorem ( combinatorics)
Sphere theorem ( Riemannian geometry)
Spin–statistics theorem ( physics)
Sprague–Grundy theorem ( combinatorial game theory)
Squeeze theorem ( mathematical analysis)
Stahl's theorem ( matrix analysis)
Stallings theorem about ends of groups ( group theory)
Stallings–Zeeman theorem ( algebraic topology)
Stanley's reciprocity theorem ( combinatorics)
Star of David theorem ( combinatorics)
Stark–Heegner theorem ( number theory)
Stein–Strömberg theorem ( measure theory)
Steiner–Lehmus theorem ( triangle geometry)
Steinhaus theorem ( measure theory)
Steinitz theorem ( graph theory)
Stewart's theorem ( plane geometry)
Stinespring factorization theorem ( operator theory)
Stirling's theorem ( mathematical analysis)
Stokes's theorem ( vector calculus, differential topology)
Stolper–Samuelson theorem ( economics)
Stolz–Cesàro theorem ( calculus)
Stone's representation theorem for Boolean algebras ( mathematical logic)
Stone's theorem on one-parameter unitary groups ( functional analysis)
Stone–Tukey theorem ( topology)
Stone–von Neumann theorem ( functional analysis, representation theory of the Heisenberg group, quantum mechanics)
Stone–Weierstrass theorem ( functional analysis)
Strassmann's theorem ( field theory)
Strong perfect graph theorem ( graph theory)
Structure theorem for finitely generated modules over a principal ideal domain ( abstract algebra)
Structure theorem for Gaussian measures ( measure theory)
Structured program theorem ( computer science)
Sturm's theorem ( theory of equations)
Sturm–Picone comparison theorem ( differential equations)
Subspace theorem ( Diophantine approximation)
Supersymmetry nonrenormalization theorems ( physics)
Supporting hyperplane theorem ( convex geometry)
Swan's theorem ( module theory)
Sylow theorems ( group theory)
Sylvester's determinant theorem ( determinants)
Sylvester's theorem ( number theory)
Sylvester pentahedral theorem ( invariant theory)
Sylvester's law of inertia ( quadratic forms)
Sylvester–Gallai theorem ( plane geometry)
Symmetric hypergraph theorem ( graph theory)
Symphonic theorem ( triangle geometry)
Synge's theorem ( Riemannian geometry)
Sz.-Nagy's dilation theorem ( operator theory)
Szegő limit theorems ( mathematical analysis)
Szemerédi's theorem ( combinatorics)
Szemerédi–Trotter theorem ( combinatorics)
Szpilrajn extension theorem ( axiom of choice)

T

Takagi existence theorem ( number theory)
Takens's theorem ( dynamical systems)
Tameness theorem ( 3-manifolds)
Tangent-secant theorem ( geometry)
Tarski's indefinability theorem ( mathematical logic)
Taylor's theorem ( calculus)
Taylor–Proudman theorem ( physics)
Tennenbaum's theorem ( model theory)
Thabit ibn Qurra's theorem ( amicable numbers)
Thales's theorem ( geometry)
The duality theorem ( topology)
Thébault's theorem ( geometry)
Theorem of de Moivre–Laplace ( probability theory)
Theorem of the cube ( algebraic varieties)
Theorem of the gnomon ( geometry)
Theorem of three moments ( physics)
Theorem on friends and strangers ( Ramsey theory)
Thévenin's theorem ( electrical circuits)
Thompson transitivity theorem ( finite groups)
Thompson uniqueness theorem ( finite groups)
Thomsen's theorem ( geometry)
Thue's theorem ( Diophantine equation)
Thue–Siegel–Roth theorem ( Diophantine approximation)
Tietze extension theorem ( general topology)
Tijdeman's theorem ( Diophantine equations)
Tikhonov fixed-point theorem ( functional analysis)
Time hierarchy theorem ( computational complexity theory)
Titchmarsh theorem ( integral transform)
Titchmarsh convolution theorem ( complex analysis)
Tits alternative ( geometric group theory)
Toda's theorem ( computational complexity theory)
Tomita's theorem ( operator algebras)
Tonelli's theorem ( functional analysis)
Topkis's theorem ( economics)
Toponogov's theorem ( Riemannian geometry)
Torelli theorem ( algebraic geometry)
Trichotomy theorem ( finite groups)
Trombi–Varadarajan theorem ( Lie group)
Trudinger's theorem ( functional analysis)
Tsen's theorem ( algebraic geometry)
Tunnell's theorem ( number theory)
Tutte theorem ( graph theory)
Turán's theorem ( graph theory)
Turán–Kubilius theorem ( number theory)
Tverberg's theorem ( discrete geometry)
Tychonoff's theorem ( general topology)

U

Ugly duckling theorem ( computer science)
Uncountability of the continuum ( set theory)
Uniformization theorem ( complex analysis, differential geometry)
Universal approximation theorem ( artificial neural networks)
Universal coefficient theorem ( algebraic topology)
Unmixedness theorem ( algebraic geometry)

V

Vafa–Witten theorem ( physics)
Valiant–Vazirani theorem ( computational complexity theory)
Van Aubel's theorem ( quadrilaterals)
Van der Waerden's theorem ( combinatorics)
Van Schooten's theorem ( Euclidean geometry)
Van Vleck's theorem ( mathematical analysis)
Vantieghems theorem ( number theory)
Varignon's theorem ( Euclidean geometry)
Vieta's formulas ( quadratics)
Vietoris–Begle mapping theorem ( algebraic topology)
Vinogradov's theorem ( number theory)
Virial theorem ( classical mechanics)
Vitali convergence theorem ( measure theory)
Vitali covering theorem ( measure theory)
Vitali theorem ( measure theory)
Vitali–Hahn–Saks theorem ( measure theory)
Viviani's theorem ( Euclidean geometry)
Von Neumann bicommutant theorem ( functional analysis)
Von Neumann's theorem ( operator theory)
Von Staudt–Clausen theorem ( number theory)

W

Wagner's theorem ( graph theory)
Waldhausen's theorem ( geometric topology)
Wallace–Bolyai–Gerwien theorem ( discrete geometry)
Walter theorem ( finite groups)
Weber's theorem ( algebraic curves)
Wedderburn's little theorem ( ring theory)
Wedderburn's theorem ( abstract algebra)
Weierstrass–Casorati theorem ( complex analysis)
Weierstrass factorization theorem ( complex analysis)
Weierstrass preparation theorem ( several complex variables, commutative algebra)
Weinberg–Witten theorem ( quantum field theory)
Well-ordering theorem ( mathematical logic)
Whitehead theorem ( homotopy theory)
Whitney embedding theorem ( differential manifolds)
Whitney extension theorem ( mathematical analysis)
Whitney immersion theorem ( differential topology)
Whitney–Graustein Theorem ( algebraic topology)
Wick's theorem ( physics)
Wiener's tauberian theorem ( real analysis)
Wiener–Ikehara theorem ( number theory)
Wigner–Eckart theorem ( Clebsch–Gordan coefficients)
Wilkie's theorem ( model theory)
Wilson's theorem ( number theory)
Witt's theorem ( quadratic forms)
Wold's theorem ( statistics)
Wolstenholme's theorem ( number theory)

Z

Z* theorem ( finite groups)
ZJ theorem ( finite groups)
Zahorski theorem ( real analysis)
Zariski's connectedness theorem ( algebraic geometry)
Zariski's main theorem ( algebraic geometry)
Zeckendorf's theorem ( number theory)
Zeilberger–Bressoud theorem ( combinatorics)
Zsigmondy's theorem ( number theory)

Retrieved from " https://en.wikipedia.org/?title=List_of_theorems&oldid=1220045825"

Hidden categories:

Videos

Youtube | Vimeo | Bing

Websites

Google | Yahoo | Bing

Encyclopedia

Google | Yahoo | Bing

Facebook