sub category: Algorithms|Axioms|Conjectures|Erdos_conjecture|Combinatorial principles|Equations|Formulae involving pi|Mathematical identities|Inequalities|Lemmas|Mathematical proofs|NP-complete problems|Statements undecidable in ZFC|Mathematical symbols|Undecidable problems|Theorems (Fundamental theorems)|Table of Lie groups

- Inequalities particular to physics
- Ahlswede–Daykin inequalityBell's inequality – see Bell's theoremBell's original inequalityCHSH inequalityClausius–Duhem inequalityCorrelation inequality – any of several inequalitiesFKG inequality ...
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- Inequalities in pure mathematics
- AnalysisAgmon's inequalityAskey–Gasper inequalityBabenko–Beckner inequalityBernoulli's inequalityBernstein's inequality (mathematical analysis)Bessel's inequalityBihari's inequalityBorell–Brascamp ...
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- List of mathematical identities
- This page lists mathematical identities, that is, identically true relations holding in mathematics.Bézout's identity (despite of its usual name, it is not, properly speaking, an identity)Brahmagupta ...
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- Classical geometry
- Classical geometryC = 2 \pi r = \pi d\!where C is the circumference of a circle, r is the radius and d is the diameter.A = \pi r^2\!where A is the area of a circle and r is the radius.V = {4 \over 3}\ ...
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- List of formulae involving π
- The following is a list of significant formulae involving the mathematical constant π. The list contains only formulae whose significance is established either in the article on the formula itself, t ...
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- Lists of equations
- Constitutive equationLaws of scienceDefining equation (physical chemistry)Defining equation (physics)List of equations in classical mechanicsTable of thermodynamic equationsList of equations in wave t ...
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- Other equations
- MathsAlgebraic equationPolynomial equationsLinear equationQuadratic equationCubic equationBiquadratic equationQuartic equationQuintic equationSextic equationCharacteristic equationClass equationCompar ...
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- Eponymous equations
- MathematicsCauchy–Riemann equationsChapman–Kolmogorov equationClairaut's equationFredholm integral equationHill differential equationIshimori equationLaplace's equationMaurer–Cartan equationPell's ...
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- Bijective proof--Double counting.....
- Main article: Double counting (proof technique)Double counting is a technique that equates two expressions that count the size of a set in two ways.Pigeonhole principleMain article: Pigeonhole princip ...
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- Inclusion-exclusion principle
- Main article: Inclusion-exclusion principleThe inclusion-exclusion principle relates the size of the union of multiple sets, the size of each set, and the size of each possible intersection of the set ...
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- Rule of product
- Main article: Rule of productThe rule of product is another intuitive principle stating that if there are a ways to do something and b ways to do another thing, then there are a · b ways to do both t ...
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- Rule of sum
- Main article: Rule of sumThe rule of sum is an intuitive principle stating that if there are a possible outcomes for an event (or ways to do something) and b possible outcomes for another event (or wa ...
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- Combinatorial principles
- In proving results in combinatorics several useful combinatorial rules or combinatorial principles are commonly recognized and used.The rule of sum, rule of product, and inclusion-exclusion principle ...
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- Solved
- A conjecture on equitable colorings proven in 1970 by András Hajnal and Endre Szemerédi and now known as the Hajnal–Szemerédi theorem.The Erdős–Lovász conjecture on weak/strong delta-systems, p ...
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- Unsolved
- The Erdős–Burr conjecture on Ramsey numbers of graphs.The Erdős–Faber–Lovász conjecture on coloring unions of cliques.The Erdős–Gyárfás conjecture on cycles with lengths equal to a power of ...
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