Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Hilbert problem
|
| gptkbp:concerns |
algebraic curves
algebraic surfaces limit cycles topology of real algebraic varieties |
| gptkbp:dividedInto |
first part
second part |
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:mathematics dynamical systems |
| gptkbp:firstPartAsks |
maximum number and relative position of ovals of real plane algebraic curves of degree n
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert's 16th problem
|
| gptkbp:partOf |
gptkb:Hilbert's_problems
|
| gptkbp:proposedBy |
gptkb:David_Hilbert
International Congress of Mathematicians, Paris |
| gptkbp:relatedTo |
Harnack's curve theorem
Dulac's problem Petrovskii's inequalities |
| gptkbp:secondPartAsks |
maximum number and position of limit cycles of polynomial vector fields in the plane
|
| gptkbp:status |
partially solved (first part)
unsolved (second part) |
| gptkbp:yearProposed |
1900
|
| gptkbp:bfsParent |
gptkb:Smale's_problems
|
| gptkbp:bfsLayer |
8
|