Koebe's circle packing theorem
GPTKB entity
Statements (47)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:bfsLayer |
5
|
| gptkbp:bfsParent |
gptkb:Paul_Koebe
|
| gptkbp:analyzes |
circle arrangements
|
| gptkbp:applies_to |
gptkb:Riemann_surfaces
gptkb:technology network theory |
| gptkbp:can_be_extended_by |
higher dimensions
|
| gptkbp:has_expansion |
various mathematicians
|
| gptkbp:has_impact_on |
the theory of uniformization
|
| gptkbp:has_programs |
gptkb:physicist
|
| gptkbp:historical_significance |
the development of complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Koebe's circle packing theorem
|
| gptkbp:illustrated_by |
diagrams of circle packings
|
| gptkbp:is_a_framework_for |
gptkb:television_channel
|
| gptkbp:is_a_solution_for |
various mathematical problems
|
| gptkbp:is_associated_with |
the concept of hyperbolic geometry
|
| gptkbp:is_cited_in |
academic papers
|
| gptkbp:is_connected_to |
the theory of modular forms
the Koebe function the theory of quasiconformal mappings |
| gptkbp:is_described_as |
circle packing in the complex plane
|
| gptkbp:is_discussed_in |
mathematical literature
theorems of uniformization |
| gptkbp:is_essential_for |
the study of analytic functions
|
| gptkbp:is_fundamental_to |
geometric function theory
|
| gptkbp:is_involved_in |
the circle packing theorem
|
| gptkbp:is_often_associated_with |
textbooks on complex analysis
|
| gptkbp:is_part_of |
the broader field of mathematics
|
| gptkbp:is_related_to |
conformal mappings
the concept of circle inversion the concept of extremal length the study of metric spaces |
| gptkbp:is_studied_in |
graduate mathematics courses
|
| gptkbp:is_used_for |
other mathematical theorems
|
| gptkbp:is_used_in |
complex analysis
the study of discrete conformal mappings |
| gptkbp:key |
the study of planar graphs
|
| gptkbp:legal_issue |
extensively studied
|
| gptkbp:named_after |
gptkb:Paul_Koebe
|
| gptkbp:provides |
a way to visualize conformal maps
|
| gptkbp:resulted_in |
the early 20th century
the concept of density |
| gptkbp:state |
every simply connected domain can be packed with circles
|
| gptkbp:subject |
gptkb:Mathematician
mathematical conferences mathematical research |