triangle inequality

Fetched 2026-10-26 (cache).

Datamuse reports no synonyms or antonyms for this word.

Noun

1. {{lb|en|analysis}} The [[inequality]] that states that the [[magnitude]] of the [[sum]] of two [[vector]]s is less than or equal to the sum of the magnitudes of the vectors.
2. {{lb|en|analysis}} The [[inequality]] that states that the [[distance]] between two [[point]]s is less than or equal to the sum of the distances between the first two points and some third point.
3. {{lb|en|analysis|by [[abstraction]]}} Either of the above two inequalities, considered as one of the [[axiom]]s which a function must satisfy to be a [[norm]] or [[metric]] respectively.

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