PHYSICAL-RESULT - Connect physics, mathematics and computation
- Situation: A team has physical, mathematical and programming knowledge, but cannot connect the contributions needed to produce a physical result.
- Question: Which missing contribution prevents the next engineering move?
- First useful result or blocker: An interpreted calculation, proposed realization or located failure in the physical account, computation or execution.
- Mantra: State the physical change sought. Construct the state and continuation needed to reason about it. Formulate the mathematical question and interpret its variables and operations. Obtain a result or computational procedure. Connect input preparation, system actions and output reading. Return to the physical question and repair the failed contribution.
- Start with:
B.5.MPCto connect available contributions and select the missing one.C.29constructs mathematical correspondence;C.29.1tests result transfer;C.29.2constructs computation;C.29.3connects it to an executing system. Subject engineering supplies physical laws and mechanisms. - Stop or return: Reuse ready contributions. Stop when the result suffices for the present decision. Reopen the contribution whose changed condition invalidates its use.
Expansion for PHYSICAL-RESULT
Divide the work. Give the next participant the result, what it denotes and the assumptions needed to use it. For the robot in B.5.MPC:5.1, the physical contribution supplies the motion model; the mathematical contribution relates distance to motor increments; the computational contribution produces an integer command and its rounding bound; the realization contribution checks what that command makes the controller do. People and AI agents can take these contributions according to their capabilities.
Use A.3.3 to construct a missing state account and C.16 for a needed measurement relation. These are dependencies between results. A ready model or computation can be reused at its point of need. Slip can reopen the motion model, overflow the command representation, and changed timing the execution arrangement. A calculated displacement remains conditional on the model until actual motion is established.