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ME.25:10 - Architectural Rationale

Methods are the subject of this design activity. Mathematical operations supply a studied way to represent, transform and reason about them. A working operation and its mathematical representation therefore remain connected without becoming the same object.

The construction has two returns that must remain distinguishable. A mathematical transformation can improve the description or computation of an existing method. It can also suggest changed working operations. Reconstructing those operations, dependencies and conditions is what turns the latter into a method candidate.

This method complements comparison: ME.6.MC derives consequences of supplied arrangements, while this pattern creates a candidate through a mathematical transformation. MATH retains the general constructions; ME retains situated requirements and the change to the way of working.