What does "hemimetric" mean?

An abstraction of distance; a function, d, with two arguments that satisfies d(x,x) = 0 and d(x, y) + d(y,z) ≥ d(x,z) (the triangle inequality) for all x,y,z in the domain.

Hemimetric

noun

noun ·Rare ·Advanced level

Definitions

Noun

1
An abstraction of distance; a function, d, with two arguments that satisfies d(x,x) = 0 and d(x, y) + d(y,z) ≥ d(x,z) (the triangle inequality) for all x,y,z in the domain.
"Without exploiting structural constraints of the hemimetric polytope, learning the distances between each pair of items requires #92;Theta(n²) queries."

Example

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"Without exploiting structural constraints of the hemimetric polytope, learning the distances between each pair of items requires #92;Theta(n²) queries."

Etymology

From hemi- + metric.

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.