# Operation order as a coordinate

ID: operation-order-as-coordinate
Canonical: https://rezonansapp.com/nodes/operation-order-as-coordinate
Version: 1
SHA256: f84d1b7b82811e69d264f2cdcea0e249b223add9c58e9aa26d093fa258d09134
Epistemic kind: reconstruction

## Question

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

## Formulation

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

## Tension

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

## Challenge

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