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V: X → ℝ≥0
A function mapping system states to a scalar measure of institutional capability. V(x) may represent productive capacity, resilience, scientific throughput, health-service capability, or civic continuity. Regeneration is fundamentally about the evolution of V(xₜ) along system trajectories.
For a climate adaptation agency, V might measure effective resilience capacity—pumping volume, fire-response capability, or levee integrity—providing a single scalar that tracks whether the system is regenerating or decaying.
FRS Section 2.2