triangle inequality

Proper noun

 * 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.
 * $$\|\mathbf x + \mathbf y\| \leq \|\mathbf x\| + \|\mathbf y\|$$
 * 1)  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.
 * $$d(x,z) \leq d(x,y) + d(y,z)$$
 * 1)  Either of the above two inequalities, considered as one of the axioms which a function must satisfy to be a norm or metric respectively.

Translations

 * Chinese: 三角不等式
 * Finnish: kolmioepäyhtälö
 * French: inégalité triangulaire
 * German: Dreiecksungleichung
 * Hebrew: אי שוויון המשולש
 * Italian: disuguaglianza triangolare
 * Japanese: 三角不等式
 * Polish: nierówność trójkąta
 * Portuguese: desigualdade triangular
 * Romanian: inegalitatea triunghiului (def. form)
 * Russian: нера́венство треуго́льника
 * Spanish: desigualdad del triángulo
 * Swedish: