English Explanatory Dictionary

triangle inequality

English dictionary entry

Meanings

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.
  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.
  3. Either of the above two inequalities, considered as one of the axioms which a function must satisfy to be a norm or metric respectively.

Word forms

triangle inequality triangle inequalities

Translations

Chinese: 三角不等式 Dutch: driehoeksongelijkheid 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 Russian: нера́венство треуго́льника Spanish: desigualdad del triángulo Swedish: triangelolikhet
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