Home›Combinatorics and Graph Theory›Statement Form›IdentityConceptIdentityAlgebraReference and ClassificationDevelopingIn mathematics, an identity is an equality relating one mathematical expression A to another mathematical expression B, such that A and B, which might contain some variables, produce the same value for all values of the variables within a certain domain of discourse. The cited article adds that an identity is an equality between functions that are differently defined, that identities are sometimes indicated by the triple bar symbol instead of the equals sign, and that formally an identity is a universally quantified equality. Theorems stated as identities, such as those relating two expressions for the same quantity, are grouped under this concept together with the wider concept of an equation.IdentityConnectionsSourcesTake a Related QuizComments (0)Reader Challenges (0)IdentityFilter Results20 entriesBranchAllAlgebra (1)Combinatorics (8)Graph Theory (7)Group Theory (1)Linear Algebra (1)Number Theory (1)Topic AreaAllBinomial and Summation Identities (1)Enumerative, Additive and Algebraic Combinatorics (9)Graph Theory (6)Ramsey Theory and Extremal Combinatorics (1)ProvedAll1847 (1)1860 (1)1877 (1)1878 (1)1897 (1)1916 (1)1927 (2)1931 (1)1958 (1)1968 (1)1971 (1)2016 (1)Proved ByAllArthur Cayley (1)Augustin-Louis Cauchy (1)Claude Berge (1)Désiré André (1)Ferdinand Georg Frobenius (1)George Pólya (1)Gerhard Ringel (1)Gustav Kirchhoff (1)Issai Schur (1)J. W. T. Youngs (1)Karl Menger (1)Leon Mirsky (1)Niels Henrik Abel (1)Percy Alexander MacMahon (1)W. T. Tutte (2)William Allen Whitworth (1)Named AfterAllArthur Cayley (1)Niels Henrik Abel (1)Proved By (Other Fields)AllGustav Kirchhoff (1)Show ResultsBrowseCompareSelect all 20Abel's Binomial TheoremIdentityAztec Diamond TheoremIdentityBertrand's Ballot TheoremIdentityBEST TheoremIdentityBoolean Pythagorean Triples ProblemIdentityBurnside's LemmaIdentityCayley's FormulaIdentityDobiński's FormulaIdentityKirchhoff's Theorem (Matrix-Tree Theorem)IdentityKoenig's Theorem (Graph Theory)IdentityMacMahon's Master TheoremIdentityMenger's TheoremIdentityMirsky's TheoremIdentityMultinomial TheoremIdentityNicomachus's TheoremIdentityPolya Enumeration TheoremIdentityRingel-Youngs TheoremIdentitySchur's Theorem (Ramsey Theory)IdentityStanley's Reciprocity TheoremIdentityTutte-Berge FormulaIdentityConnectionsIn BranchAlgebra, Branches of Mathematics Well-attested Source IdentityStatement Form OfClapeyron's Theorem, Theorems Well-attested Class Number Formula, Theorems Well-attested Cohn's Irreducibility Criterion, Theorems Well-attested Convolution Theorem, Theorems Well-attested Craig Interpolation Theorem, Theorems Well-attested Cramér's Theorem (Large Deviations), Theorems Well-attested Danskin's Theorem, Theorems Well-attested De Gua's Theorem, Theorems Well-attested De Moivre-Laplace Theorem, Theorems Well-attested De Moivre's Formula, Theorems Well-attested De Morgan's Laws, Theorems Well-attested Descartes Circle Theorem, Theorems Well-attested Descartes' Rule of Signs, Theorems Well-attested Difference of Two Squares, Theorems Well-attested Dirichlet's Unit Theorem, Theorems Well-attested Divergence Theorem, Theorems Well-attested Dobiński's Formula, Theorems Well-attested Dominated Convergence Theorem, Theorems Well-attested Dorfman-Steiner Theorem, Theorems Well-attested Ehrenfest Theorem, Theorems Well-attested Eilenberg-Zilber Theorem, Theorems Well-attested Envelope Theorem, Theorems Well-attested Equipartition Theorem, Theorems Well-attested Euler's Criterion, Theorems Well-attested Euler's Identity, Theorems Well-attested Euler's Polyhedron Formula, Theorems Well-attested Euler's Quadrilateral Theorem, Theorems Well-attested Fermat's Last Theorem, Theorems Well-attested Fermat's Little Theorem, Theorems Well-attested Ferrero-Washington Theorem, Theorems Well-attested Feynman-Kac Formula, Theorems Well-attested Fisher-Neyman Factorization Theorem, Theorems Well-attested Fisher's Fundamental Theorem of Natural Selection, Theorems Well-attested Fluctuation-Dissipation Theorem, Theorems Well-attested Fodor's Lemma, Theorems Well-attested Freudenthal Suspension Theorem, Theorems Well-attested Frobenius Reciprocity Theorem, Theorems Well-attested Fubini's Theorem, Theorems Well-attested Fundamental Theorem of Calculus, Theorems Well-attested Gabbay's Separation Theorem, Theorems Well-attested Garfield's Proof of the Pythagorean Theorem, Theorems Well-attested Gauss-Bonnet Theorem, Theorems Well-attested Geometric Mean Theorem, Theorems Well-attested Girsanov's Theorem, Theorems Well-attested Glaisher's Theorem, Theorems Well-attested Gradient Theorem, Theorems Well-attested Green's Theorem, Theorems Well-attested Hardy-Ramanujan Theorem, Theorems Well-attested Hellmann-Feynman Theorem, Theorems Well-attested Herbrand's Theorem, Theorems Well-attested Showing 51 to 100 of 212 in Statement Form Of, page 2 of 5.← Previous12345Next →SourcesIdentityWikipedia, lead sectionIn mathematics, an identity is an equality relating one mathematical expression A to another mathematical expression B, such that A and B (which might contain some variables) produce the same value for all values of the variables within a certain domain of discourse.In Branch: Algebra, Lead sectionIn mathematics, an identity is an equality relating one mathematical expression A to another mathematical expression B, such that A and BView the SourceTake a Related QuizOrigins of Mathematical ConceptsCovers this kind of entry.Comments (0)No comments yet. 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