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The Koopman Generator skill leverages Koopman operator theory to transform nonlinear dynamical systems into infinite-dimensional linear representations. By lifting state-space dynamics into observable space, it allows Claude to analyze, predict, and decompose complex behaviors using linear algebraic techniques like Dynamic Mode Decomposition (DMD). This skill is particularly useful for scientific computing, control theory, and advanced data analysis where traditional nonlinear modeling is computationally difficult, providing a rigorous mathematical framework based on ACSets and Category Theory for structural consistency.
