diverged

Diverged is the past tense and past participle of the verb diverge, from Latin divergere meaning to turn away. It describes the action of moving apart from a shared origin or path, resulting in separation or growing differences over time.

In mathematics, a sequence or series diverges if it does not approach a finite limit. For example, the harmonic series diverges. Divergence can also refer to quantities that become unbounded or ill-defined in limiting processes, such as divergent integrals or perturbative expansions in physics.

In biology and evolutionary biology, lineages diverge as populations accumulate genetic or phenotypic differences, often leading to speciation. In linguistics, languages diverge as communities become geographically or socially isolated, producing distinct vocabularies and grammar. In information technology, branches in version control systems diverge when development proceeds independently on separate lines, potentially later requiring merging or reconciliation.

Diverged thus denotes a shift from a single origin to multiple, separate trajectories, and the term is used across disciplines to describe processes of separation, differentiation, or branching.