Hilbert's seventeenth problem
GPTKB entity
Statements (52)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical problem
|
| gptkbp:addresses |
gptkb:M._Artin
|
| gptkbp:designedBy |
gptkb:David_Hilbert
|
| gptkbp:hasHistoricalSignificance |
in mathematics
|
| gptkbp:hasInventor |
mathematical logic
|
| gptkbp:hasRelatedPatent |
optimization
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert's seventeenth problem
|
| gptkbp:involves |
sums of squares
|
| gptkbp:isActiveIn |
theoretical mathematics
mathematical textbooks |
| gptkbp:isAssociatedWith |
gptkb:Hilbert's_basis_theorem
|
| gptkbp:isAttendedBy |
research papers
|
| gptkbp:isCitedIn |
academic journals
numerous mathematical papers |
| gptkbp:isConnectedTo |
symmetric functions
|
| gptkbp:isConsidered |
a classic problem
a fundamental problem in mathematics a challenge in mathematics a significant theorem |
| gptkbp:isDiscussedIn |
conferences
mathematical literature mathematical seminars mathematical theorists |
| gptkbp:isExaminedBy |
advanced mathematics courses
mathematical analysis |
| gptkbp:isExploredIn |
mathematicians
mathematical research functional analysis graduate mathematics programs research mathematicians |
| gptkbp:isImportantFor |
theory of real closed fields
|
| gptkbp:isInfluencedBy |
modern algebra
the development of algebraic geometry |
| gptkbp:isLinkedTo |
the study of convex sets
the theory of fields |
| gptkbp:isPartOf |
gptkb:Hilbert's_problems
gptkb:Hilbert's_list_of_problems theoretical frameworks the history of mathematics the study of polynomial functions |
| gptkbp:isRelatedTo |
real analysis
quadratic forms real algebraic topology the concept of positivity the study of inequalities semialgebraic_sets |
| gptkbp:isStudiedIn |
algebraic geometry
|
| gptkbp:issues |
representation of non-negative polynomials
|
| gptkbp:keyIssues |
advancements in algebraic theory
understanding polynomial equations |
| gptkbp:relatedTo |
real algebraic geometry
|
| gptkbp:yearEstablished |
1900
|