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Identity or Equation

Statement form sorts theorems by the shape of the claim they make, such as an equation, an inequality or an existence statement. Wikipedia states Fermat's Last Theorem as the claim "that there are no positive integers a, b, c, n with n greater than 2 such that a to the n plus b to the n equals c to the n," a negative existence claim rather than a formula to compute with. This dimension groups theorems that make the same kind of mathematical statement.

Identity or Equation
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0.999...

Identity or Equation

Abel's Binomial Theorem

Identity or Equation

Abel's Identity

Identity or Equation

Abel's Theorem (Power Series)

Identity or Equation

Alexander Duality

Identity or Equation

Amitsur-Levitzki Theorem

Identity or Equation

Angle Bisector Theorem

Identity or Equation

Anne's Theorem

Identity or Equation

Apollonius's Theorem

Identity or Equation

Argument Principle

Identity or Equation

Artin Reciprocity Law

Identity or Equation

Artin-Rees Lemma

Identity or Equation

Artin-Verdier Duality

Identity or Equation

Atiyah-Singer Index Theorem

Identity or Equation

Aztec Diamond Theorem

Identity or Equation

Barbier's Theorem

Identity or Equation

Basel Problem

Identity or Equation

Bayes' Theorem

Identity or Equation

Bertrand's Ballot Theorem

Identity or Equation

Bessel's Correction

Identity or Equation

BEST Theorem

Identity or Equation

Beth Definability Theorem

Identity or Equation

Betti's Theorem

Identity or Equation

Bezout's Identity

Identity or Equation

Bezout's Theorem

Identity or Equation

Bhaskara's Lemma

Identity or Equation

Binet-Cauchy Identity

Identity or Equation

Binomial Theorem

Identity or Equation

Birkhoff Ergodic Theorem

Identity or Equation

Bishop-Cannings Theorem

Identity or Equation

Bloch's Theorem (Complex Analysis)

Identity or Equation

Bohr-van Leeuwen Theorem

Identity or Equation

Boolean Pythagorean Triples Problem

Identity or Equation

Brahmagupta Theorem

Identity or Equation

Bretschneider's Formula

Identity or Equation

British Flag Theorem

Identity or Equation

Burnside's Lemma

Identity or Equation

Butterfly Theorem

Identity or Equation

Candido's Identity

Identity or Equation

Carnot's Theorem

Identity or Equation

Casey's Theorem

Identity or Equation

Cassini and Catalan Identities

Identity or Equation

Cauchy Integral Theorem

Identity or Equation

Cauchy-Binet Formula

Identity or Equation

Cayley-Hamilton Theorem

Identity or Equation

Cayley's Formula

Identity or Equation

Ceva's Theorem

Identity or Equation

Chain Rule

Identity or Equation

Chebotarev Density Theorem

Identity or Equation

Clairaut's Theorem (Gravity)

Identity or Equation

Clapeyron's Theorem

Identity or Equation

Class Number Formula

Identity or Equation

Cohn's Irreducibility Criterion

Identity or Equation

Convolution Theorem

Identity or Equation

Craig Interpolation Theorem

Identity or Equation

Cramér's Theorem (Large Deviations)

Identity or Equation

Danskin's Theorem

Identity or Equation

De Gua's Theorem

Identity or Equation

De Moivre-Laplace Theorem

Identity or Equation

De Moivre's Formula

Identity or Equation

De Morgan's Laws

Identity or Equation

Descartes Circle Theorem

Identity or Equation

Descartes' Rule of Signs

Identity or Equation

Difference of Two Squares

Identity or Equation

Dirichlet's Unit Theorem

Identity or Equation

Divergence Theorem

Identity or Equation

Dobinski's Formula

Identity or Equation

Dominated Convergence Theorem

Identity or Equation

Dorfman-Steiner Theorem

Identity or Equation

Ehrenfest Theorem

Identity or Equation

Eilenberg-Zilber Theorem

Identity or Equation

Envelope Theorem

Identity or Equation

Equipartition Theorem

Identity or Equation

Euler's Criterion

Identity or Equation

Euler's Identity

Identity or Equation

Euler's Polyhedron Formula

Identity or Equation

Euler's Quadrilateral Theorem

Identity or Equation

Fermat's Last Theorem

Identity or Equation

Fermat's Little Theorem

Identity or Equation

Ferrero-Washington Theorem

Identity or Equation

Feynman-Kac Formula

Identity or Equation

Fisher-Neyman Factorization Theorem

Identity or Equation

Fisher's Fundamental Theorem of Natural Selection

Identity or Equation

Fluctuation-Dissipation Theorem

Identity or Equation

Fodor's Lemma

Identity or Equation

Freudenthal Suspension Theorem

Identity or Equation

Frobenius Reciprocity Theorem

Identity or Equation

Fubini's Theorem

Identity or Equation

Fundamental Theorem of Calculus

Identity or Equation

Gabbay's Separation Theorem

Identity or Equation

Garfield's Proof of the Pythagorean Theorem

Identity or Equation

Gauss-Bonnet Theorem

Identity or Equation

Geometric Mean Theorem

Identity or Equation

Girsanov's Theorem

Identity or Equation

Glaisher's Theorem

Identity or Equation

Gradient Theorem

Identity or Equation

Green's Theorem

Identity or Equation

Hardy-Ramanujan Theorem

Identity or Equation

Hellmann-Feynman Theorem

Identity or Equation

Herbrand's Theorem

Identity or Equation

Heron's Formula

Identity or Equation

Hilbert's Theorem 90

Identity or Equation

Identity Theorem (Complex Analysis)

Identity or Equation

Immerman-Szelepcsenyi Theorem

Identity or Equation

Increment Theorem

Identity or Equation

Inscribed Angle Theorem

Identity or Equation

Intercept Theorem

Identity or Equation

Intersecting Chords Theorem

Identity or Equation

Intersecting Secants Theorem

Identity or Equation

Ito's Lemma

Identity or Equation

Jacobi's Four-Square Theorem

Identity or Equation

Jacobson Density Theorem

Identity or Equation

Kelvin's Circulation Theorem

Identity or Equation

Kirchhoff's Theorem (Matrix-Tree Theorem)

Identity or Equation

Koenig's Theorem (Graph Theory)

Identity or Equation

Kramers-Kronig Relations

Identity or Equation

Kummer's Theorem

Identity or Equation

Kunneth Theorem

Identity or Equation

Kutta-Joukowski Theorem

Identity or Equation

Lami's Theorem

Identity or Equation

Landau Prime Ideal Theorem

Identity or Equation

Lax-Milgram Theorem

Identity or Equation

Lefschetz Fixed-Point Theorem

Identity or Equation

Leray-Schauder Fixed-Point Theorem

Identity or Equation

Liouville's Theorem (Hamiltonian Mechanics)

Identity or Equation

Lochs' Theorem

Identity or Equation

Loeb's Theorem

Identity or Equation

Los's Theorem

Identity or Equation

Lucas' Theorem

Identity or Equation

MacMahon's Master Theorem

Identity or Equation

Mean Value Theorem

Identity or Equation

Menelaus's Theorem

Identity or Equation

Menger's Theorem

Identity or Equation

Mertens' Theorems

Identity or Equation

Midy's Theorem

Identity or Equation

Mihailescu's Theorem

Identity or Equation

Mirsky's Theorem

Identity or Equation

Motzkin-Taussky Theorem

Identity or Equation

Multinomial Theorem

Identity or Equation

Multiplication Theorem

Identity or Equation

Myhill-Nerode Theorem

Identity or Equation

Newton's Identities

Identity or Equation

Nicomachus's Theorem

Identity or Equation

Noether Normalization Lemma

Identity or Equation

Onsager Reciprocal Relations

Identity or Equation

Optical Theorem

Identity or Equation

Optional Stopping Theorem

Identity or Equation

Parseval's Theorem

Identity or Equation

PCP Theorem

Identity or Equation

Peano Existence Theorem

Identity or Equation

Pentagonal Number Theorem

Identity or Equation

Perpendicular Axis Theorem

Identity or Equation

Pick's Theorem

Identity or Equation

Pitot Theorem

Identity or Equation

Plancherel Theorem

Identity or Equation

Poincare-Hopf Theorem

Identity or Equation

Poisson Summation Formula

Identity or Equation

Pokhozhaev's Identity

Identity or Equation

Polya Enumeration Theorem

Identity or Equation

Pomeranchuk's Theorem

Identity or Equation

Poynting's Theorem

Identity or Equation

Proof of Fermat's Last Theorem for Specific Exponents

Identity or Equation

Proof that 22/7 Exceeds Pi

Identity or Equation

Ptolemy's Theorem

Identity or Equation

Pythagorean Theorem

Identity or Equation

Pythagorean Trigonometric Identity

Identity or Equation

Radon-Nikodym Theorem

Identity or Equation

Ramanujan-Nagell Equation

Identity or Equation

Rank-Nullity Theorem

Identity or Equation

Residue Theorem

Identity or Equation

Riemann-Hurwitz Formula

Identity or Equation

Riemann-Roch Theorem

Identity or Equation

Ringel-Youngs Theorem

Identity or Equation

Routh's Theorem

Identity or Equation

Roy's Identity

Identity or Equation

Schur's Lemma (Representation Theory)

Identity or Equation

Schur's Theorem (Ramsey Theory)

Identity or Equation

Schwarz Reflection Principle

Identity or Equation

Shell Theorem

Identity or Equation

Shockley-Ramo Theorem

Identity or Equation

Siacci's Theorem

Identity or Equation

Silver's Theorem

Identity or Equation

Skolem-Noether Theorem

Identity or Equation

Sophie Germain's Theorem

Identity or Equation

Stanley's Reciprocity Theorem

Identity or Equation

Stewart's Theorem

Identity or Equation

Stokes' Theorem

Identity or Equation

Sturm's Theorem

Identity or Equation

Tangent-Secant Theorem

Identity or Equation

Taylor's Theorem

Identity or Equation

Theorem of the Gnomon

Identity or Equation

Theorem of Three Moments

Identity or Equation

Three-Gap Theorem

Identity or Equation

Titchmarsh Convolution Theorem

Identity or Equation

Transfinite Recursion Theorem

Identity or Equation

Transport Theorem

Identity or Equation

Tutte-Berge Formula

Identity or Equation

Valiant-Vazirani Theorem

Identity or Equation

Van Aubel's Theorem

Identity or Equation

Van Schooten's Theorem

Identity or Equation

Varadhan's Lemma

Identity or Equation

Vieta's Formulas

Identity or Equation

Virial Theorem

Identity or Equation

Viviani's Theorem

Identity or Equation

Von Staudt-Clausen Theorem

Identity or Equation

Voronoi Formula

Identity or Equation

Wald's Identity

Identity or Equation

Weinstein-Aronszajn Identity

Identity or Equation

Wick's Theorem

Identity or Equation

Wiener-Khinchin Theorem

Identity or Equation

Wolstenholme's Theorem

Identity or Equation

Woodbury Matrix Identity

Identity or Equation
Connections

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Sources
MacTutor History of Mathematics Archive
University of St Andrews, School of Mathematics and Statistics
  • Contains: Central Limit Theorem
  • Contains: Bayes' Theorem
View the Source
Wikipedia: Noether's Theorem
Wikimedia FoundationContains: Noether's TheoremView the Source
Wikipedia: Cayley's Theorem
Wikimedia FoundationContains: Cayley's TheoremView the Source
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