triangle inequality
Word Rarity
Rare
Frequency: Zipf frequency 3.62 in modern English
31
Scrabble Score
18
Letters
5
Syllables
11
Unique Chars
Meaning
noun
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.
noun
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.
noun
Either of the above two inequalities, considered as one of the axioms which a function must satisfy to be a norm or metric respectively.
Example Sentences
- "‖ mathbf x+ mathbf y‖≤‖ mathbf x‖+‖ mathbf y‖"
- "d(x,z)≤d(x,y)+d(y,z)"
Inflected Forms
triangle inequalities (plural)