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metric has 5 distinct synonyms spread across 5 of its 5 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
a function of a topological space that gives, for any two points in the space, a value equal to the distance between them
a decimal unit of measurement of the metric system (based on meters and kilograms and seconds)
“convert all the measurements to metric units”
Synonyms, antonyms and the broader and narrower relations for metric come from Princeton University’s WordNet. Full sources and licences.
a system of related measures that facilitates the quantification of some particular characteristic