pervasively
Pervasively is an adverb formed from the adjective pervasive. It describes that something is present or spreading throughout a large area, system, or field, rather than confined to a single location. The term is used to characterize the breadth and pervasiveness of a phenomenon, often indicating that it affects multiple components or levels.
The word derives from Latin pervasus, from pervadere, via the English adjective pervasive and the -ly suffix.
Pervasively is closely related to pervasive or ubiquity. It contrasts with terms that describe localized effects.