In a manner relating to or using colorimetry; through the measurement and analysis of color.
From 'colorimetric' plus the adverb suffix '-ly.' Standard English derivation creating an adverb form used in scientific writing.
When scientists say something is 'colorimetrically determined,' they mean they used precise color measurement rather than eyeballing it—it's the difference between guessing if juice is sweet and using an instrument that measures sugar content through a chemical reaction that changes color predictably.
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