triangle inequality

English

Proper noun

the triangle inequality

(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

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

This article is issued from Wiktionary. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.