Triangle inequality

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:Euclidean_geometry
Metric spaces
gptkbp:formulatedAs |a + b| ≤ |a| + |b|
gptkbp:generalizes gptkb:Minkowski_inequality
https://www.w3.org/2000/01/rdf-schema#label Triangle inequality
gptkbp:namedAfter Triangle
gptkbp:partOf Properties of metrics
Properties of norms
gptkbp:relatedTo gptkb:Cauchy–Schwarz_inequality
gptkb:Minkowski_inequality
gptkbp:state The sum of the lengths of any two sides of a triangle is greater than or equal to the length of the remaining side
gptkbp:usedIn gptkb:Complex_numbers
Real numbers
Distance functions
Normed vector spaces
gptkbp:bfsParent gptkb:Hilbert_Space
gptkb:Geometric_Inequalities
gptkbp:bfsLayer 6