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Fermat/Lagrange/Hamilton (physics, 1662–1833) derived variational principles from mechanics and optics. Pareto (economics, 1906) derived optimality from utility theory. The mathematics converged: both use Lagrange multipliers; both find stationary points on constraint manifolds. - Convergence strength (1–10): 7 - Note: The mathematical isomorphism is exact. Whether it is physically meaningful or mere formal analogy is the open question. 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