Dictionary

triangle inequality en · NOUN

Meanings

1. The inequality that states that the magnitude of the sum of two vectors is less than or equal to the sum of the magnitudes of the vectors.
   • ‖ mathbf x+ mathbf y‖≤‖ mathbf x‖+‖ mathbf y‖
2. The inequality that states that the distance between two points is less than or equal to the sum of the distances between the first two points and some third point.
   • d(x,z)≤d(x,y)+d(y,z)
3. (qualifier:by abstraction) Either of the above two inequalities, considered as one of the axioms which a function must satisfy to be a norm or metric respectively.

Forms

Translations (15)

zh 三角不等式 (the triangle inequality) · nl driehoeksongelijkheid (the triangle inequality) · de Dreiecksungleichung (the triangle inequality) · pl nierówność trójkąta (the triangle inequality) · az üçbucaq bərabərsizliyi (the triangle inequality) · it disuguaglianza triangolare (the triangle inequality) · sv triangelolikhet (the triangle inequality) · es desigualdad del triángulo (the triangle inequality) · fi kolmioepäyhtälö (the triangle inequality) · ja 三角不等式 (the triangle inequality) · ru нера́венство треуго́льника (the triangle inequality) · ro inegalitatea triunghiului (the triangle inequality) · fr inégalité triangulaire (the triangle inequality) · pt desigualdade triangular (the triangle inequality) · he אי שוויון המשולש (the triangle inequality)