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

- List of conjectures by Paul Erdős
- The prolific mathematician Paul Erdős and his various collaborators made many famous mathematical conjectures, over a wide field of subjects, and in many cases Erdős offered monetary rewards for sol ...
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- Disproved (no longer conjectures)
- Atiyah conjecture (not a conjecture to start with)Borsuk's conjectureChinese hypothesis (not a conjecture to start with)Euler's sum of powers conjectureGanea conjectureGeneralized Smith conjectureHaup ...
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- Proved (now theorems)
- The theorems may not be their official names.Adams conjecture (J-homomorphism)Andrews–Curtis conjectureBieberbach conjecture, 1916 (De Branges' theorem, 1984)Blattner's conjecture (Blattner formula)B ...
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- Open problems
- 1/3–2/3 conjectureabc conjecture (proof claimed by Shinichi Mochizuki)Andrews–Curtis conjectureAngel problem (several proofs claimed in 2007)Agoh–Giuga conjectureAndrica's conjectureArtin conjectur ...
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- Other axioms
- Axiom of Archimedes (real number)Axiom of countability (topology)Fundamental axiom of analysis (real analysis)Gluing axiom (sheaf theory)Haag-Kastler axioms (quantum field theory)Huzita's axioms (orig ...
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- Geometry
- Parallel postulateBirkhoff's axiomsHilbert's axiomsTarski's axioms
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- Other axioms of mathematical logic
- Von Neumann-Bernays-Gödel axiomsContinuum hypothesis and its generalizationFreiling's axiom of symmetryAxiom of determinacyAxiom of projective determinacyMartin's axiomAxiom of constructibilityRank-i ...
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- Axiom of choice
- With the Zermelo–Fraenkel axioms above, this makes up the system ZFC in which most mathematics is potentially formalisable.Equivalents of ACHausdorff maximality theoremWell-ordering principleZorn's l ...
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- Zermelo–Fraenkel axioms
- These are the de facto standard axioms for contemporary mathematics or set theory. They can be easily adapted to analogous theories, such as mereology.Axiom of extensionalityAxiom of empty setAxiom of ...
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- List of axioms
- This is a list of axioms as that term is understood in mathematics, by Wikipedia page. In epistemology, the word axiom is understood differently; see axiom and self-evidence. Individual axioms are alm ...
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- Software engineering
- Further information: Software engineeringCache algorithmsCHS conversion: converting between disk addressing systemsDouble dabble: Convert binary numbers to BCDHash Function: convert a large, possibly ...
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- Information theory and signal processing
- Main articles: Information theory and Signal processingCoding theoryFurther information: Coding theoryError detection and correctionFurther information: Error detection and correctionBCH CodesBerlekam ...
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- Computer science
- Further information: Computer scienceComputer architectureFurther information: Computer architectureTomasulo algorithm: allows sequential instructions that would normally be stalled due to certain dep ...
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- Computational science
- Further information: Computational scienceAstronomyMain article: Astronomical algorithmsDoomsday algorithm: day of the weekZeller's congruence is an algorithm to calculate the day of the week for any ...
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- Computational mathematics
- Further information: Computational mathematicsSee also: Combinatorial algorithms and Computational scienceAbstract algebraFurther information: Abstract AlgebraChien search: a recursive algorithm for d ...
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