𝒰 enrolment

Name | Homogeneous Dilation Composition

Object | $f(x)=|x|^D$

Type | Exact algebraic identity on $(\mathbb{R}_{>0},\times)$

Identity | $f(a(bx))=(ab)^D f(x)$

Evidence | E0 + E1

Boundary | Declared monomial homogeneity only; FPV20-C04 instance scaling is not empirical fractality.

Parents: FPV20-C04, ARR-C002, ARR-C003.

Witness: PF-FPV20-FOUND-002 · residual $7.11\times 10^{-15}$.