B.5.TU:4.3 - Construct the application

Connect each consequential object and condition to the selected case. Some are supplied by observation or design; some are assumptions of the model; others belong to the theory’s mathematical construction. Keep their roles clear where they affect the conclusion.

Choose the values, boundary conditions, allowed operations and sought output. For a theoretical question, this may be entirely a construction within the theory. For a physical use, explain which system, quantity or interaction the mathematical object represents. C.29 supplies the mathematical correspondence and the comparison of what it preserves, omits or introduces.

Compose the required operations. Check the connection between successive contributions: an operation’s output must supply the next operation’s required input. An integration procedure, for example, needs a function of its integration variable; a formula with unfilled path or parameter arguments has yet to supply that function.

If a source case cannot be adapted by the available rules, identify the particular missing contribution. Another formulation, a specialist result or a developed operation may supply it. A.15.9 supports obtaining and using bounded help; C.39 supports developing a way when none is known.