C.36.RP:11.1 - What must the receiving participants learn?

The question is how to keep applying and adapting a useful method when its original contributor or tool changes. Adapt: locate the understanding or operation that the receiving work needs, then obtain it through a capable contributor, a tool or acquisition. This changes the allocation in §4.3 and the transfer in §§4.4–4.5.

A serious alternative is to keep access to a capable provider and retain its usable results with their conditions. At the same application deadline and with the same available help, this can cost less than teaching the method to its receivers. Choose it when the provider can supply the expected variations and the receivers can interpret and use them. Where the receiver must recognize a changed physical interpretation, the answer alone leaves that operation unavailable. In §5.1 the group therefore keeps physical interpretation with the receiving engineer and obtains algebra through AI.

Klowden and Tao (2026), §4, supplies the contemporary distinction between checking a mathematical result and understanding that supports further work. Adopt that distinction; adapt the allocation to other practices through the operation they need. The mathematical argument does not establish which human or AI allocation is best in every field. The demonstrated acquisition in §5.3 also separates receiving use from later persistence.

The accepted trade-off is the time and support needed to make a missing operation obtainable. Compare that burden with continued provision before assigning learning. Reconsider the allocation when a cheaper provider supports the same use, access becomes unreliable, or the receiver still cannot perform the needed variation. Sections 4.2 and 4.5 then locate the part to change.