In a manner that is concise yet comprehensive; in a way that presents large amounts of information briefly and efficiently.
From compendious (concise and comprehensive) plus the adverbial suffix -ly. Compendious itself derives from Latin compendiosus, related to compendium.
When scholars say an author writes 'compendiously,' they're paying a subtle but high compliment—you've managed the hardest trick in writing: saying everything necessary and nothing more. It's the opposite of padding, filler, or tangents. Medieval manuscript copiers would have loved compendiously-written texts.
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