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- Hilbert's_sixteenth_problem abstract "Hilbert's 16th problem was posed by David Hilbert at the Paris conference of the International Congress of Mathematicians in 1900, as part of his list of 23 problems in mathematics.The original problem was posed as the Problem of the topology of algebraic curves and surfaces (Problem der Topologie algebraischer Kurven und Flächen).Actually the problem consists of two similar problems in different branches of mathematics: An investigation of the relative positions of the branches of real algebraic curves of degree n (and similarly for algebraic surfaces). The determination of the upper bound for the number of limit cycles in two-dimensionial polynomial vector fields of degree n and an investigation of their relative positions.The first problem is yet unsolved for n = 8. Therefore, this problem is what usually is meant when talking about Hilbert's sixteenth problem in real algebraic geometry. The second problem also remains unsolved: no upper bound for the number of limit cycles is known for any n>1, and this is what usually is meant by Hilbert's sixteenth problem in the field of dynamical systems.".
- Hilbert's_sixteenth_problem wikiPageExternalLink Limit_cycles_Focus_values.pdf.
- Hilbert's_sixteenth_problem wikiPageID "381750".
- Hilbert's_sixteenth_problem wikiPageRevisionID "583740439".
- Hilbert's_sixteenth_problem hasPhotoCollection Hilbert's_sixteenth_problem.
- Hilbert's_sixteenth_problem subject Category:Dynamical_systems.
- Hilbert's_sixteenth_problem subject Category:Hilbert's_problems.
- Hilbert's_sixteenth_problem subject Category:Real_algebraic_geometry.
- Hilbert's_sixteenth_problem subject Category:Unsolved_problems_in_mathematics.
- Hilbert's_sixteenth_problem type Abstraction100002137.
- Hilbert's_sixteenth_problem type Attribute100024264.
- Hilbert's_sixteenth_problem type Condition113920835.
- Hilbert's_sixteenth_problem type Difficulty114408086.
- Hilbert's_sixteenth_problem type DynamicalSystem106246361.
- Hilbert's_sixteenth_problem type DynamicalSystems.
- Hilbert's_sixteenth_problem type Hilbert'sProblems.
- Hilbert's_sixteenth_problem type PhaseSpace100029114.
- Hilbert's_sixteenth_problem type Problem114410605.
- Hilbert's_sixteenth_problem type Space100028651.
- Hilbert's_sixteenth_problem type State100024720.
- Hilbert's_sixteenth_problem type UnsolvedProblemsInMathematics.
- Hilbert's_sixteenth_problem comment "Hilbert's 16th problem was posed by David Hilbert at the Paris conference of the International Congress of Mathematicians in 1900, as part of his list of 23 problems in mathematics.The original problem was posed as the Problem of the topology of algebraic curves and surfaces (Problem der Topologie algebraischer Kurven und Flächen).Actually the problem consists of two similar problems in different branches of mathematics: An investigation of the relative positions of the branches of real algebraic curves of degree n (and similarly for algebraic surfaces). ".
- Hilbert's_sixteenth_problem label "Hilbert's sixteenth problem".
- Hilbert's_sixteenth_problem label "Seizième problème de Hilbert".
- Hilbert's_sixteenth_problem label "Шестнадцатая проблема Гильберта".
- Hilbert's_sixteenth_problem label "希爾伯特第十六問題".
- Hilbert's_sixteenth_problem sameAs Seizième_problème_de_Hilbert.
- Hilbert's_sixteenth_problem sameAs m.021pj6.
- Hilbert's_sixteenth_problem sameAs Q2509489.
- Hilbert's_sixteenth_problem sameAs Q2509489.
- Hilbert's_sixteenth_problem sameAs Hilbert's_sixteenth_problem.
- Hilbert's_sixteenth_problem wasDerivedFrom Hilbert's_sixteenth_problem?oldid=583740439.
- Hilbert's_sixteenth_problem isPrimaryTopicOf Hilbert's_sixteenth_problem.