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 OfLeggett-Garg Inequality, Theorems Well-attested Leray-Schauder Fixed-Point Theorem, Theorems Well-attested Linnik's Theorem, Theorems Well-attested Liouville's Approximation Theorem, Theorems Well-attested Maier's Theorem, Theorems Well-attested Mann's Theorem, Theorems Well-attested Mantel's Theorem, Theorems Well-attested Markov's Inequality, Theorems Well-attested Mihailescu's Theorem, Theorems Well-attested Minimax Theorem, Theorems Well-attested Minkowski's Inequality, Theorems Well-attested Minkowski's Theorem, Theorems Well-attested Multiplicity-One Theorem, Theorems Well-attested Nash Equilibrium, Theorems Well-attested Nash-Williams Formula, Theorems Well-attested Niven's Theorem, Theorems Well-attested Noether Normalization Lemma, Theorems Well-attested Ore's Theorem, Theorems Well-attested Picard Theorem, Theorems Well-attested Planar Separator Theorem, Theorems Well-attested Poincare Lemma, Theorems Well-attested Poppy-Seed Bagel Theorem, Theorems Well-attested Prigogine's Theorem, Theorems Well-attested Prime Number Theorem, Theorems Well-attested Proof of Fermat's Last Theorem for Specific Exponents, Theorems Well-attested Proof that 22/7 Exceeds Pi, Theorems Well-attested Rauch Comparison Theorem, Theorems Well-attested Rellich-Kondrachov Theorem, Theorems Well-attested Riemann-Hurwitz Formula, Theorems Well-attested Riesz-Thorin Interpolation Theorem, Theorems Well-attested Rosser's Theorem, Theorems Well-attested Roth's Theorem (Thue-Siegel-Roth), Theorems Well-attested Rouche's Theorem, Theorems Well-attested Saint-Venant's Theorem, Theorems Well-attested Sanov's Theorem, Theorems Well-attested Savitch's Theorem, Theorems Well-attested Schmidt Subspace Theorem, Theorems Well-attested Schwarz Lemma, Theorems Well-attested Sensitivity Theorem, Theorems Well-attested Shapley-Folkman Theorem, Theorems Well-attested Siegel's Theorem on Integral Points, Theorems Well-attested Silver's Theorem, Theorems Well-attested Six Exponentials Theorem, Theorems Well-attested Sophie Germain's Theorem, Theorems Well-attested Sperner's Theorem, Theorems Well-attested Sphere Packing Theorems in Dimensions 8 and 24, Theorems Well-attested Squeeze Theorem, Theorems Well-attested Sunflower Lemma, Theorems Well-attested Szemeredi Regularity Lemma, Theorems Well-attested Three-Gap Theorem, Theorems Well-attested Showing 101 to 150 of 164 in Statement Form Of, page 3 of 4.← Previous1234Next →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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