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Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematicssuch as theoretical physicscomputer sciencealgebraanalysiscombinatoricsalgebraicdifferentialdiscrete and Euclidean geometriesgraph theorygroup theorymodel theorynumber theoryset theoryRamsey theorydynamical systemsand partial differential equations. Some problems belong to more по этой ссылке one discipline and are studied using techniques from different areas.
Prizes are often awarded for the solution to a long-standing problem, and some lists of unsolved problems, such as the Millennium Prize Problemsreceive considerable attention. This list is a composite of notable unsolved problems mentioned in previously published lists, including but not limited to lists considered authoritative.
Although this list may never be comprehensive, the problems listed here vary widely in both difficulty and importance. Various mathematicians and organizations have published and promoted lists of unsolved mathematical problems. In some cases, the lists have been associated with prizes for the discoverers of solutions. Of the original seven Millennium Prize Problems listed by the Clay Mathematics Institute insix remain unsolved to date: [6].
Note: These conjectures are about models of Zermelo-Frankel set theory with choiceand may not be able to be expressed in models of other set theories such as the various constructive set theories or non-wellfounded set theory. From Wikipedia, the free encyclopedia. List article of unsolved mathematical problems. This is a dynamic list and may never be able to satisfy particular standards for completeness.
You can help by adding missing items with reliable sources. Main article: Algebra. Main article: Mathematical analysis. Main article: Combinatorics. Main article: Dynamical system. Main article: Game theory. Main article: Combinatorial game theory. Main article: Geometry. Main article: Algebraic geometry. Main article: Differential geometry.
Main article: Discrete geometry. Main article: Euclidean geometry. Main article: Graph theory. Main article: Group theory. Main articles: Usa today sudoku puzzle answers all levelset login – usa today sudoku puzzle answers all levelset lo theory and formal languages.
Main page: Category:Unsolved problems in number theory. See also: Number theory. Main article: Additive number theory. See also: Problems involving arithmetic progressions.
Main article: Algebraic number theory. Main article: Computational number theory. Main article: Prime numbers. Main article: Set theory. Смотрите подробнее article: Topology. This section duplicates the scope of other articles. Please discuss this issue on the talk page and edit it to conform with Wikipedia’s Manual of Style by replacing the section with a link and a summary of the repeated material or by spinning off the repeated text into an article in its own right.
August The Kenneth O. Bulletin of the London Mathematical Society. Jahresbericht der Deutschen Mathematiker-Vereinigung. MR S2CID Bulletin of the American Mathematical Society. New Series. Archived from the original on Retrieved Centre national de la recherche scientifique. The Guardian. Unsolved Problems on Mathematics for the 21st Century. IOS Press. ISBN Clay Mathematics Institute.
Open Problem Garden. February Journal of Combinatorial Theory. Series B. An introduction to irrationality and transcendence methods PDF. Archived from the original PDF on 16 December Retrieved 15 December Contributions to Discrete Mathematics. Archived from the original PDF on Theoretical Computer Science. Ulam, Problems in Modern Mathematics. Annals of Mathematics. Chelsea, New York, Structure of Reversible Cellular Automata. International Conference on Unconventional Computation.
Lecture Notes in Computer Science. Bibcode : LNCS. Archived from the original on 10 November PBS Infinite Series. Mathematische Annalen. SloaneSphere Packings, Lattices and Groups 3rd ed.
See in particular Conjecture 23, p. Extra : —, Usa today sudoku puzzle answers all levelset login – usa today sudoku puzzle answers all levelset lo Mathematica Zutphen B : — Notices of страница American Mathematical Society. ISSN Linear arboricity”, Networks11 1 : 69—72, doi : Handbook of Combinatorics. Archived from the original PostScript on 13 June Words and Graphs. Monographs in Theoretical Computer Science. S2CID — via link. International Conference on Developments in Language Theory.
April 1, Journal of Applied and Industrial Mathematics. Discrete Applied Mathematics. Implicit graph representation”Efficient Graph Representationspp. Joint Mathematics Meetings. Archived from the original считаю, canada releases maple syrup for думал 11 January Retrieved 17 August Archived from the original on November 26, The Kourovka NotebookarXiv : Journal of Symbolic Logic.
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