Named theorems

1 article

Abel jacobi theorem Abhyankar moh theorem Absolute convergence theorem Acyclic models theorem Adiabatic theorem Ados theorem Af bg theorem Akhiezers theorem Akra bazzi theorem Alchian allen theorem Alexandrovs uniqueness theorem Alperin brauer gorenstein theorem Alternate interior angles theorem Altitude Andreotti frankel theorem Ankeny artin chowla theorem Annes theorem Apolloniuss theorem Appell humbert theorem Applied mathematics Area theorem Aronszajn smith theorem Arrival theorem Arrow lind principle Art gallery theorem Artin schreier theorem Artin zorn theorem Ats theorem Auxiliary polynomial theorem Aztec diamond theorem B zouts lemma Babu ka lax milgram theorem Baily borel theorem Banach tarski theorem Barbiers theorem Bauer fike theorem Beattys theorem Beckman quarles theorem Becks theorem Beers theorem Behnke stein theorem Bells theorem Berger kazdan comparison theorem Bernsteins theorem on monotone functions Berry ess en theorem Bertinis theorem Bertrand diquet puiseux theorem Besicovitch covering theorem Bettis theorem Binomial inverse theorem Biology Birkhoffs representation theorem Bishop cannings theorem Bishop gromov inequality Blochs theorem Blondels theorem Blums speedup theorem Bochners tube theorem Bogoliubov parasyuk theorem Bohr van leeuwen theorem Bolyai gerwien theorem Bolzanos theorem Bombieri friedlander iwaniec theorem Bondareva shapley theorem Bondy chv tal theorem Borel carath odory theorem Bounded inverse theorem Brahmagupta theorem Brauer cartan hua theorem Brauer nesbitt theorem Brauer suzuki theorem Brauer suzuki wall theorem Brauers main theorem Bregman minc inequality Brookss theorem Buckingham theorem Burnsides theorem Byers yang theorem C theorem Calculus Cantor bernstein schr der theorem Cap theorem Carath odorys existence theorem Carath odorys extension theorem Carleson jacobs theorem Carnots theorem Cartan dieudonn theorem Cartan k hler theorem Caseys theorem Castelnuovo theorem Castiglianos method Cauchy hadamard theorem Cayley salmon theorem Ces ro summation Cevas theorem Chasles theorem Chevalley shephard todd theorem Chevalleys structure theorem Choquet bishop de leeuw theorem Clapeyrons theorem Clark ocone theorem Clausius theorem Cluster decomposition theorem Coase theorem Cohns irreducibility criterion Coleman mandula theorem Commutation theorem Computer science Conservativity theorem Constant rank theorem Continuum theory Convergence problem Conway circle theorem Cousins theorem Craigs interpolation theorem Cram r wold theorem Cram rs theorem Crooks fluctuation theorem Crossbar theorem Crystallography Dandelins theorem De brangess theorem De bruijns theorem De guas theorem Decomposition theorem of beilinson bernstein and deligne Defect Denjoy carleman theorem Denjoy young saks theorem Descartess theorem Differential manifold Diller dress theorem Dinis theorem Diracs theorem on chordal graphs Dudleys theorem Duggan schwartz theorem Dunford pettis theorem Earnshaws theorem Economics Edgeworths limit theorem Egorovs theorem Ehresmanns theorem Electric power Electrical circuit Electrical network Electrostatics Elitzurs theorem Equipartition theorem Erd's ginzburg ziv theorem Erd's nagy theorem Eulers polyhedron theorem Eulers rotation theorem Eulers theorem on homogeneous functions Exchange theorem Factor theorem Fatou lebesgue theorem Fatous theorem Faustman ohlin theorem Fermats theorem Ferniques theorem Feuerbachs theorem Finance theory Financial mathematics Finsler hadwiger theorem Fisher separation theorem Fittings theorem Fluctuation dissipation theorem Fluctuation theorem Focal subgroup theorem Formal language theory Fosters theorem Four functions theorem Fourier theorem Freyds adjoint functor theorem Friendship theorem Frobenius reciprocity theorem Frodas theorem Fubinis theorem Fubinis theorem on differentiation Full employment theorem Fundamental theorem of arbitrage free pricing Fundamental theorem of equivalence relations Fundamental theorems of welfare economics Furrys theorem Fwl theorem Gap theorem Gauss theorem Gauss wantzel theorem Gausss theorema egregium Gell mann and low theorem Gerochs splitting theorem Gibbard satterthwaite theorem Glivenkos theorem Goddard thorn theorem Goldberg sachs theorem Goldies theorem Goldstones theorem Golod shafarevich theorem Gomorys theorem Gordon newell theorem Gottesman knill theorem Grauert riemenschneider vanishing theorem Gravity Gromov ruh theorem Gromovs theorem on groups of polynomial growth Grothendieck hirzebruch riemann roch theorem Grothendiecks connectedness theorem Grunskys theorem H theorem Haag opusza ski sohnius theorem Haags theorem Hahn decomposition theorem Hahn embedding theorem Hahn kolmogorov theorem Hahn mazurkiewicz theorem Hajnal szemer di theorem Hales jewett theorem Hardy littlewood maximal theorem Hardys theorem Harnacks curve theorem Harnacks theorem Hartman grobman theorem Hartogss extension theorem Hartogss theorem Heckscher ohlin theorem Hellmann feynman theorem Helmholtz theorem Higmans embedding theorem Hilbert waring theorem Hilberts fifth problem Hindmans theorem Hinge theorem Hironaka theorem Hjelmslevs theorem Hobby rice theorem Hohenberg kohn theorems Holditchs theorem Hollands schema theorem Holmstr ms theorem Identity theorem Immerman szelepcs nyi theorem Independence of the axiom of choice Initial value theorem Integral representation theorem for classical wiener space Integral root theorem Intersecting chords theorem Intersecting secants theorem Inverse eigenvalues theorem Ionescu tulcea theorem Isomorphism extension theorem Isoperimetric theorem Jacksons theorem Jacobson bourbaki theorem Jacobson morozov theorem Japanese theorem for concyclic quadrilaterals Jordan h lder theorem Jordan sch nflies theorem Jordan schur theorem Jouberts theorem K vari's's tur n theorem Karhunen lo ve theorem Karp lipton theorem Kawamata viehweg vanishing theorem Kawasakis theorem Kelvins circulation theorem Kempf ness theorem Khinchins theorem on diophantine approximations Kinematics Kinoshita lee nauenberg theorem Kirby paris theorem Kochen specker theorem Kodaira embedding theorem Koebe 1 4 theorem Kolmogorovs three series theorem Kraft mcmillan theorem Kramers theorem Kurosh subgroup theorem Kutta joukowski theorem L balance theorem L vy continuity theorem L vys modulus of continuity theorem Ladners theorem Lagrange reversion theorem Lamis theorem Lattice theorem Laurent expansion theorem Lax milgram theorem Lax richtmyer theorem Lebesgue differentiation theorem Lebesgues decomposition theorem Lebesgues density theorem Lee yang theorem Lefschetz hopf theorem Lefschetz theorem on Lerner symmetry theorem Leszy ski pringsheim theorem Levis theorem Lexells theorem Li nards theorem Lickorish twist theorem Lindel fs theorem Linear speedup theorem Little b zouts theorem Local class field theory Local quantum field theory Looman menchoff theorem Loop theory Lukacss proportion sum independence theorem Luzins theorem Lyapunov malkin theorem Malgrange preparation theorem Malgrange zerner theorem Marcinkiewicz theorem Marginal value theorem Markus yamabe theorem Mason stothers theorem Mathematical analysis Mathematical series Max min csp ones classification theorems Maximum power theorem Mays theorem Menelauss theorem Mermin wagner theorem Mertenss theorems Milliken taylor theorem Millikens tree theorem Mirsky newman theorem Modigliani miller theorem Mohr mascheroni theorem Monodromy theorem Monskys theorem Moore aronszajn theorem Moreras theorem Morleys trisector theorem Mortons theorem Moving equilibrium theorem Multivariate calculus Mumford vanishing theorem Mutual fund separation theorem Mycielskis theorem Nagaos theorem Nagatas compactification theorem Newlander niremberg theorem Newtons theorem Newtons theorem about ovals Nicomachuss theorem Nielsen fixed point theorem Nielsen ninomiya theorem Nielsen schreier theorem No broadcasting theorem No cloning theorem No communication theorem No deleting theorem No trade theorem Non squeezing theorem Normed space Nortons theorem Nuclear physics O theorem Optical equivalence theorem Optical theorem Ordered group Ornstein theorem Oseledec theorem Osterwalder schrader theorem Ostrowski hadamard gap theorem Paleys theorem Pandya theorem Pappuss area theorem Pappuss centroid theorem Parallel axis theorem Parovicenkos theorem Pcp theorem Peixotos theorem Perlis theorem Perpendicular axis theorem Phragm n lindel f theorem Physics Picard theorem Pickands balkema de haan theorem Pitman koopman darmois theorem Pitot theorem Pivot theorem Plane geometry Poincar bendixson theorem Poincar birkhoff witt theorem Poincar duality theorem Poincar recurrence theorem Poisson limit theorem Politics Pomeranchuks theorem Pompeius theorem Poncelet steiner theorem Positive energy theorem Poyntings theorem Principal axis theorem Probabilistic complexity theory Proper base change theorem Pseudorandom generator theorem Pure mathematics Quadratic reciprocity theorem Quadratics Quantum computation Quantum information theory Quantum optics Quantum threshold theorem R deis theorem Ramanujam vanishing theorem Ramanujan skolems theorem Rational root theorem Real algebraic geometry Recursion theory Reeh schlieder theorem Regevs theorem Relational model Remmert stein theorem Reversed compound agent theorem Richard h price Riemann roch theorem Riemann singularity theorem Riemanns theorem on removable singularities Ringel youngs theorem Robins theorem Rouch's theorem Routh hurwitz theorem Runges theorem Rybczynski theorem Saccheri legendre theorem Sahlqvist correspondence theorem Sarkovskiis theorem Savitchs theorem Schaefers dichotomy theorem Schur zassenhaus theorem Schwartz zippel theorem Schwenks theorem Sensitivity theorem Shannons expansion theorem Shannons theorem Shell theorem Shirshov cohn theorem Shirshov witt theorem Silverman toeplitz theorem Sions minimax theorem Sipser lautemann theorem Sius semicontinuity theorem Sklars theorem Skoda el mir theorem Sobolev embedding theorem Solovay kitaev theorem Sonnenschein mantel debreu theorem Soundness theorem Speedup theorem Spin statistics theorem Stahls theorem Stallings theorem about ends of groups Statics Steiner lehmus theorem Steinhaus theorem Stinespring factorization theorem Stirlings theorem Stokess theorem Stolper samuelson theorem Stolz ces ro theorem Stone tukey theorem Strassmanns theorem Structural analysis Structural complexity theory Structured program theorem Superrigidity theorem Supersymmetry nonrenormalization theorems Sylvester gallai theorem Sylvester pentahedral theorem Sylvesters determinant theorem Tangent secant theorem Tarskis indefinability theorem Taylor proudman theorem Th baults theorem Th venins theorem Thabit number Thaless theorem Theorem of the cube Theorem of three moments Theorem on friends and strangers Theoretical computer science Theoretical physics Theory of equations Thermodynamics Thom transversality theorem Thompson transitivity theorem Thompson uniqueness theorem Thomsens theorem Tikhonov fixed point theorem Tits alternative Todas theorem Tomitas theorem Trichotomy theorem Tsens theorem Ugly duckling theorem Unique homomorphic extension theorem Unmixedness theorem Vafa witten theorem Valiant vazirani theorem Van aubels theorem Varc milnor lemma Vertex algebra Virial theorem Vitali convergence theorem Vitali covering theorem Vitali hahn saks theorem Vivianis theorem Voting method Voting theory Wallace bolyai gerwien theorem Walter theorem Weinberg witten theorem Welfare economics Whitney extension theorem Wicks theorem Z theorem Zahorski theorem Zariskis connectedness theorem Zariskis main theorem Zeilberger bressoud theorem Zj theorem Zlil sela

Algebra MasterAnalyse11 min

Quels polynômes envoient ℚ sur ℚ ? La réponse complète

Une droite à coefficients rationnels envoie ℚ sur ℚ. Aucune courbe n'y parvient jamais. Trois filtres — interpolation, forme, dénominateurs — laissent la classification complète.