Manuscript IX-D-ST@1 · IX-D-ST.tex · section · b1dc631a

A fixed finite-table comparison

Shared finite Enter certificate interface › A fixed finite-table comparison · lines 2301–2316

Let $i$ be a classical catalogue index and $P$ a surviving payload. Denote by $X_{k i}$ the input block after clock readout and catalogue-basis pinching. For supplied $v_{k i} \in [- 1, 1]$ , define

p_{y} (k, i) = \frac{1 + y v _{k i}}{2}, y = \pm 1,

I_{v} (X) = k, i, y \sum ∣ k, i, y, r (k, i)⟩ ⟨ k, i, y, r (k, i)∣ \otimes p_{y} (k, i) X_{k i},

with a fixed finite report function $r$ .

Displayed formulas in this passage

unlabeled · line 2307
$p_{y} (k, i) = \frac{1 + y v _{k i}}{2}, y = \pm 1,$
unlabeled · line 2310
$I_{v} (X) = k, i, y \sum ∣ k, i, y, r (k, i)⟩ ⟨ k, i, y, r (k, i)∣ \otimes p_{y} (k, i) X_{k i},$

Nearby in this section

proposition: Proposition: Fixed-interface approximation
section: A fixed finite-table comparison
proposition: Proposition: Record equality is weaker than residual equality