FPF Reference

    MATHEMATICAL-MODELING — Use a mathematical lens only when it changes action

    Preface node heading:mathematical-modeling-use-a-mathematical-lens-only-when-it-changes-action:516

    What this page is

    This is generated FPF reference text from the specification preface or supporting sections. It helps interpret FPF; it is not FPF Reference product documentation.

    Methodology

    Use it to understand how the specification wants to be read, then return to a route, pattern, or work packet for active work. Cite generated IDs only when the wording changes the task decision.

    Content

    • Situation: A formula, formalism, simulation object, or learned representation is proposed to clarify a project question.
    • Question: What is mapped to what, which structure is kept or lost, how is the lens calibrated, what rival or ordinary fallback exists, and what decision changes?
    • First useful result or honest blocker: A bounded lens use with its mapping, retained and lost structure, calibration, rival, practical payoff, and no-lens exit, or the exact missing basis.
    • Start with: C.29.
    • Stop or return: Stop without the lens when no decision changes. Return when the mapped subject, preserved structure, calibration, evidence, rival, or use changes.

    When the direct pattern is already known, open it rather than forcing the question into an example: E.11.PFP for framework publication, E.11.DSG for the DPF Suite Reference when a question spans several DPFs, A.15.6 when project, process, or case hides the subject, A.1.1 for model-use organization, C.22.PFR for an actual-problem claim, and A.6.REL for an obtaining relation. These are locators, not more selectable examples.

    Last Updated: 2026-09-03 — upstream FPF commit b999972c (github.com/ailev/FPF)