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MMP.10:12 - Relations

  • B.5.FM and B.5.TU: construct a first account and connect a subject theory to the encountered problem. This pattern translates its candidate objects and conditions into a mathematical formulation.
  • MATH.1 and MATH.5: construct composable paths and extend an assignment on elementary steps to compounds while preserving operations and equations. MATH.16 chooses a mathematical construction from the maps it must support. MATH.7 transports structure when the required bijections have been constructed.
  • C.29.1 and C.29.2: supply correspondence, answer recovery and the separation of a mathematical result from its obtaining procedure and execution.
  • C.16.IR: determines what a compatible set permits one to infer through projection and constancy of the requested quantity.
  • MMP.7 and MMP.8: construct observation probabilities and information-dependent choices. A formulation’s variables retain those probabilistic and temporal meanings.
  • MMP.9: derives a reduced evolution law when retained quantities depend on eliminated contributions. The resulting law can supply relations used here.
  • C.11.DUA and E.22/E.23: choose worthwhile further inquiry and organize evaluation and improvement of a formulation or its obtaining work.
  • ME: uses the mathematical result when constructing or changing a working method. Its performance in the subject remains distinct from the formal properties of its description.