Manuscript En08-B@1 · En08-B.tex · definition · 23cac52a

Definition: Endpoint operational comparison

The connecting theorem › The precise comparison topology · lines 940–950

En08-B@1#def:comparison, En08-B@1#eq:operational-error

For a target $(T, x, id_{D})$ , define the dimensionless comparison error of an implemented witness by

Err_{j} (T, x) = \frac{∥ x _{j} - x ∥ _{2} + c ∣ T _{j} - T ∣}{ℓ} + d_{⋄} (Φ_{j} (T, x), id_{D}) .

Displayed formulas in this passage

En08-B@1#eq:operational-error · line 944
$Err_{j} (T, x) = \frac{∥ x _{j} - x ∥ _{2} + c ∣ T _{j} - T ∣}{ℓ} + d_{⋄} (Φ_{j} (T, x), id_{D}) .$