List of Theorems - S

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)
  • 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–Witt theorem (Lie algebra)
  • 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 (transcendence 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)
  • 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)
  • 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' 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)
  • Strassman'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)
  • 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)

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