Operation order as a coordinate

Can the order of an operation itself become a coordinate of a representation?

Formülasyon

Represent a function across both its input and a varying derivative order, then inspect continuity, cross-sections, and discontinuities in that family.

Gerilim

A continuous-looking picture cannot establish continuity of an unspecified operator family.

Açık soru

Which convention and function domain make variation in derivative order well-defined?