The higher-order distance degree formula for the moment curve
Let f(t)=(t,t2,…,td)∈Adf(t)=(t,t^2,\ldots,t^d)\in\mathbb{A}^df(t)=(t,t2,…,td)∈Ad, with k≤dk\leq dk≤d. Let φ2,k\varphi_{2,k}φ2,k denote the map used to define the second-order osculating construction, let Q⊆H∞Q\subseteq H_\inftyQ⊆H∞…