Proper noun
the triangle inequality
English Wikipedia has an article on:triangle inequalityWikipedia
(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.
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{\displaystyle \|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|}
Heron's formula for the area is : :::: In terms of either area expression, the triangle inequality imposed on all sides is equivalent to the condition that the expression under the square root sign be non-negative (so the area expression is real). Source: Internet
Euclidean geometry Euclid's construction for proof of the triangle inequality for plane geometry. Source: Internet
A triangle with three given positive side lengths exists if and only if those side lengths satisfy the triangle inequality. Source: Internet
By replacing d with the formula given above, : h is a real number if and only if the triangle inequality is met for all sides. Source: Internet
If the distance function takes values in some (suitable) ordered set (and the triangle inequality is adjusted accordingly), then we arrive at the notion of generalized ultrametric. Source: Internet
It is thus defined : Although it is sometimes used as a 'distance metric', KL divergence is not a true metric since it is not symmetric and does not satisfy the triangle inequality (making it a semi-quasimetric). Source: Internet