Manuscript VII-E@1 · VII-E.tex · section · b713cf3c

The exact unassisted record error

Record compatibility, residuals, and composition › The exact unassisted record error · lines 1150–1167

VII-E@1#eq:record-error

Set

D_{w} = T^{*} (E_{w}) - Π_{w}, D_{A} = w \in A \sum D_{w} .

These operators are Hermitian and satisfy $\sum_{w} D_{w} = 0$ . Define

δ_{rec} = ρ \in D (H_{f}) sup d_{TV} (p_{T} (\cdot ∣ ρ), p_{f} (\cdot ∣ ρ)) .

Displayed formulas in this passage

VII-E@1#eq:record-error · line 1160
$δ_{rec} = ρ \in D (H_{f}) sup d_{TV} (p_{T} (\cdot ∣ ρ), p_{f} (\cdot ∣ ρ)) .$
unlabeled · line 1153
$D_{w} = T^{*} (E_{w}) - Π_{w}, D_{A} = w \in A \sum D_{w} .$