Manuscript En05-A@1 · En05-A.tex · hypothesis · f076e703

Hypothesis: C2: Uniform local cone convergence

A conditional continuum package with matched realizations › Geometric hypotheses · lines 1709–1718

En05-A@1#hyp:C2

There is a norm $ν$ on $R^{D}$ and $c > 0$ such that, for

J_{ν}^{-} (q) = {(t, x) : t \leq t_{q}, ν (x - x_{q}) \leq c (t_{q} - t)},

the distance functions to $J_{ε}^{-} (q)$ converge to those of $J_{ν}^{-} (q)$ , uniformly for sources in a fixed compact set and embedded terminal events $q$ in a fixed compact set.

Displayed formulas in this passage

unlabeled · line 1711
$J_{ν}^{-} (q) = {(t, x) : t \leq t_{q}, ν (x - x_{q}) \leq c (t_{q} - t)},$

Nearby in this section

section: Geometric hypotheses
hypothesis: Hypothesis: C1: Local event approximation
section: Geometric hypotheses
section: Geometric hypotheses
remark: Remark: An upper envelope is not an attainable cone