In a manner involving equal numbers or quantities; with equal numerical distribution.
From 'equinumeral' (having equal numbers), combining 'equi-' (equal) + 'numeral' (relating to numbers, from Latin 'numerus'). The '-ly' adverbial suffix transforms it into an adverb describing how something is distributed or counted equally.
This is a technical mathematical and statistical term rarely found outside academic contexts, yet it captures something important: when researchers want to describe samples with equal numbers, they need a precise word rather than saying 'in an equal numbers way.'
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