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Data provenance

Data records should preserve origin, collection conditions and transformations.

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  • Structural identifiability

    Ideal observations must uniquely determine parameters before noisy-data estimation can identify them.

  • Types of uncertainty

    Random variability and limited knowledge require different uncertainty representations.

  • 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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