Manuscript En01-A@1 · En01-A.tex · definition · 558b972b

Definition: State, interface, and question orders

Operator-valued Möbius hierarchy and three orders · lines 1692–1710

En01-A@1#def:orders

Set

ord (Λ) = min {∣ J ∣ : J \neq = \emptyset, Λ (Z_{J}) \neq = 0},

and

ord (M) = min {∣ J ∣ : J \neq = \emptyset, η_{M} (J) \neq = 0},

with $min \emptyset = \infty$ . The state order is $ord (id)$ . An interface is fully classical for this hierarchy if its order is infinite.

Displayed formulas in this passage

unlabeled · line 1695
$ord (Λ) = min {∣ J ∣ : J \neq = \emptyset, Λ (Z_{J}) \neq = 0},$
unlabeled · line 1701
$ord (M) = min {∣ J ∣ : J \neq = \emptyset, η_{M} (J) \neq = 0},$