Manuscript II-B@1 · II-B-v1.tex · section · bfd2eb3c

Record-to-label map

The three dictionaries and calibration › Record-to-label map · lines 1377–1408

II-B@1#eq:delta

Fix a sender $x_{A} \in U$ , a readout time $T_{d}$ , and $τ_{*} > 0$ . Define four distinct labels

t_{k} = T_{d} - (4 - k) τ_{*}, k = 0, 1, 2, 3,

and history events

κ (k) = (t_{k}, x_{A}) .

The readout itself occurs at

e_{r} = (T_{d}, x_{A}) .

The contact-label dictionary is

δ (0) = β_{0}, δ (1) = β_{+}, δ (2) = β_{-}, δ (3) = β_{0} .

The fourth outcome is a second label for the blind row, not an unreported failure.

The stored code is $k$ . Its time interpretation is $t_{k}$ ; its response interpretation is $δ (k)$ . These are two different maps.

Displayed formulas in this passage

II-B@1#eq:delta · line 1395
$δ (0) = β_{0}, δ (1) = β_{+}, δ (2) = β_{-}, δ (3) = β_{0} .$
unlabeled · line 1381
$t_{k} = T_{d} - (4 - k) τ_{*}, k = 0, 1, 2, 3,$
unlabeled · line 1386
$κ (k) = (t_{k}, x_{A}) .$
unlabeled · line 1390
$e_{r} = (T_{d}, x_{A}) .$