In an emergent manner; arising or appearing suddenly or unexpectedly; with urgent necessity.
From emergent plus -ly adverbial suffix. Emergent comes from emerge (Latin emergere) plus -ent (present participle marker), creating an adverb from the adjective.
Emergent systems in chaos theory often behave 'emergently'—simple rules create complex behaviors that weren't predictable from the starting conditions, like flocks of birds with no leader creating perfect formation.
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