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Verification and validation

Verification checks implementation against specifications; validation checks fitness for an intended use.

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  • Cross-validation

    Repeated training and held-out evaluation estimate generalization while respecting dependence and leakage risks.

  • Discrete-event simulation

    A system's state changes at scheduled or randomly occurring events.

  • ARIMA and differencing

    Difference until stationary, fit autoregressive and moving average terms, and forecast with error growing in the horizon.

  • Agent-based models

    Individual rules and interactions generate collective behavior in simulation.

  • Analytic hierarchy process

    Build pairwise comparison matrices over criteria, then read weights from the dominant eigenvector and check consistency.

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Mathematical modeling

Turns engineering, economic, biological and social questions into variables, assumptions, solvable models, validated answers and an honest limits section.

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