Statements (13)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:appliesTo | 
                                    
                                        
                                            
                                            finite-dimensional vector spaces
                                        
                                        
                                         | 
                            
| gptkbp:describes | 
                                    
                                        
                                            
                                            representation of points in convex hulls
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            gptkb:mathematics
                                        
                                         gptkb:convex_analysis  | 
                            
| gptkbp:namedAfter | 
                                    
                                        
                                            gptkb:Lev_Pontryagin
                                        
                                         | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            gptkb:Carathéodory's_theorem
                                        
                                         | 
                            
| gptkbp:state | 
                                    
                                        
                                            
                                            A point in the convex hull of a set can be represented as a convex combination of at most n+1 points, where n is the dimension of the space.
                                        
                                        
                                         | 
                            
| gptkbp:usedIn | 
                                    
                                        
                                            
                                            control theory
                                        
                                        
                                         optimization theory  | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Soviet_school_of_topology
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            8
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Pontryagin's lemma
                                        
                                        
                                         |