In a manner that conducts or transmits electricity, heat, or other forms of energy; in a way that contributes to or promotes something.
From 'conductive' plus the adverbial suffix '-ly' (from Old English 'lice,' meaning in the manner of). The adverb form allows modification of verbs and adjectives with the quality of being conductive.
When engineers describe materials or situations 'conductively,' they're describing how effectively something transmits energy or contributes to an outcome—it's a way of measuring the degree and manner of transmission or contribution.
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