Home›Combinatorics and Graph Theory›Statement Form›InequalityConceptInequalityAnalysisReference and ClassificationDevelopingIn mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. The cited article says it is used most often to compare two numbers on the number line by their size, and that the main types of inequality are less than and greater than, written with the signs for smaller and larger. As a form of theorem statement it asserts that one quantity is bounded above or below by another, and results of that kind, such as bounds on sums, products and integrals, are grouped under this concept rather than under a theorem that states an equality.InequalityConnectionsSourcesTake a Related QuizComments (0)Reader Challenges (0)InequalityFilter Results29 entriesBranchAllCoding Theory (1)Combinatorics (9)Computational Complexity Theory (1)Geometry (1)Graph Theory (16)Topic AreaAllCombinatorics of Computing and Classification (1)Enumerative, Additive and Algebraic Combinatorics (4)Graph Theory (14)Ramsey Theory and Extremal Combinatorics (8)ProvedAll1878 (1)1907 (1)1928 (1)1935 (2)1941 (2)1946 (1)1948 (1)1952 (1)1954 (1)1960 (2)1961 (3)1964 (1)1965 (1)1972 (1)1973 (1)1978 (1)1979 (1)1982 (1)1988 (1)2019 (1)Proved ByAllDésiré André (1)Emanuel Sperner (1)Endre Szemerédi (2)Hao Huang (1)Henryk Minc (1)John Adrian Bondy (1)Michel Balinski (1)Nicolaas Govert de Bruijn (1)Paul Erdos (4)Philip Hall (1)Pál Turán (1)R. Leonard Brooks (1)Vadim G. Vizing (1)W. T. Tutte (2)William Allen Whitworth (1)Øystein Ore (1)Show ResultsBrowseCompareSelect all 29Approximate Max-Flow Min-Cut TheoremInequalityBalinski's TheoremInequalityBertrand's Ballot TheoremInequalityBondy's TheoremInequalityBregman-Minc InequalityInequalityBrooks' TheoremInequalityCrossing Number InequalityInequalityDe Bruijn-Erdos Theorem (Incidence Geometry)InequalityDirac's TheoremInequalityElias Bassalygo BoundInequalityErdos-Ko-Rado TheoremInequalityErdos-Posa TheoremInequalityErdos-Stone TheoremInequalityErdos-Szekeres TheoremInequalityHales-Jewett TheoremInequalityHall's Marriage TheoremInequalityKneser's Theorem (Combinatorics)InequalityKővári-Sos-Turán TheoremInequalityMantel's TheoremInequalityNash-Williams FormulaInequalityOre's TheoremInequalityPlanar Separator TheoremInequalitySensitivity TheoremInequalitySperner's TheoremInequalitySunflower LemmaInequalitySzemeredi Regularity LemmaInequalityTuran's TheoremInequalityTutte's Theorem (Graph Theory)InequalityVizing's TheoremInequalityConnectionsIn BranchAnalysis, Branches of Mathematics Well-attested Source Wolfram MathWorld: InequalityStatement Form OfAnderson's Theorem, Theorems Well-attested Ankeny-Artin-Chowla Congruence, Theorems Well-attested Approximate Max-Flow Min-Cut Theorem, Theorems Well-attested Area Theorem (Conformal Mapping), Theorems Well-attested Art Gallery Problem, Theorems Well-attested Artin-Rees Lemma, Theorems Well-attested Azuma's Inequality, Theorems Well-attested Baker's Theorem, Theorems Well-attested Balinski's Theorem, Theorems Well-attested Barban-Davenport-Halberstam Theorem, Theorems Well-attested Bauer-Fike Theorem, Theorems Well-attested Beck's Theorem (Geometry), Theorems Well-attested Behrend's Theorem, Theorems Well-attested Berry-Esseen Theorem, Theorems Well-attested Bertrand's Ballot Theorem, Theorems Well-attested Bertrand's Postulate, Theorems Well-attested Binet-Cauchy Identity, Theorems Well-attested Blaschke-Santalo Inequality, Theorems Well-attested Bombieri-Vinogradov Theorem, Theorems Well-attested Bondy's Theorem, Theorems Well-attested Bonnet-Myers Theorem, Theorems Well-attested Borel-Caratheodory Theorem, Theorems Well-attested Bourbaki-Witt Theorem, Theorems Well-attested Bregman-Minc Inequality, Theorems Well-attested Brooks' Theorem, Theorems Well-attested Brouwer Fixed-Point Theorem, Theorems Well-attested Brun-Titchmarsh Theorem, Theorems Well-attested Budan's Theorem, Theorems Well-attested Cantelli's Inequality, Theorems Well-attested Cantor's Theorem, Theorems Well-attested Carmichael's Theorem, Theorems Well-attested Cartan-Dieudonne Theorem, Theorems Well-attested Cauchy's Theorem (Group Theory), Theorems Well-attested Cauchy-Schwarz Inequality, Theorems Well-attested Chebyshev's Inequality, Theorems Well-attested Chernoff Bound, Theorems Well-attested Chevalley-Warning Theorem, Theorems Well-attested Cohn's Irreducibility Criterion, Theorems Well-attested Condorcet Jury Theorem, Theorems Well-attested Coupon Collector's Problem, Theorems Well-attested Craig Interpolation Theorem, Theorems Well-attested Cramer-Rao Bound, Theorems Well-attested Cramer-Rao Inequality, Theorems Well-attested Crossing Number Inequality, Theorems Well-attested De Bruijn-Erdos Theorem (Incidence Geometry), Theorems Well-attested Descartes' Rule of Signs, Theorems Well-attested Dirac's Theorem, Theorems Well-attested Dirichlet's Approximation Theorem, Theorems Well-attested Doob's Martingale Convergence Theorem, Theorems Well-attested Double Bubble Theorem, Theorems Well-attested Showing 1 to 50 of 164 in Statement Form Of, page 1 of 4.1234Next →SourcesInequalityWikipedia, lead sectionQuote, Wikipedia, lead sectionIn mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.View the SourceWolfram MathWorld: InequalityWolfram MathWorldIn Branch: Analysis, Subject classificationsQuote, In Branch: Analysis, Subject classificationsCalculus and Analysis InequalitiesView the SourceTake a Related QuizOrigins of Mathematical ConceptsCovers this kind of entry.Comments (0)No comments yet. 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