triangle inequality

English

Proper noun

the triangle inequality

1. (mathematical analysis) 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, or any equivalent inequality in other spaces.

   $\|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|$

Translations

the triangle inequality

• Chinese: 三角不等式
• Finnish: kolmioepäyhtälö
• French: inégalité triangulaire f
• German: Dreiecksungleichung f
• Hebrew: אי שוויון המשולש
• Italian: disuguaglianza triangolare f
• (deprecated template usage) {{trans-mid}}
• Japanese: 三角不等式 (さんかくふとうしき, sankaku futōshiki)
• Polish: nierówność trójkąta f
• Portuguese: desigualdade triangular f
• Romanian: inegalitatea triunghiului f (def. form)
• Russian: нера́венство треуго́льника n (nerávenstvo treugólʹnika)
• Spanish: desigualdad del triángulo f