Manuscript XX-E@1 · XX-E.tex · section · cf7a8f40

A necessary correction to product-order bookkeeping

Formal orders, product orders, and the classical symbol › A necessary correction to product-order bookkeeping · lines 1288–1300

Let the same formal parameter $s$ be used in two lapse insertions. Their first derivatives are

O_{f}^{(1)} = s L_{f} + s^{2} B_{f} (z, \cdot) (mod s^{3}) .

The order- $ℏ$ product correction is

ℏ ⟨ O_{f}^{(1)}, W O_{g}^{(1)} ⟩ .

Displayed formulas in this passage

unlabeled · line 1292
$O_{f}^{(1)} = s L_{f} + s^{2} B_{f} (z, \cdot) (mod s^{3}) .$
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$ℏ ⟨ O_{f}^{(1)}, W O_{g}^{(1)} ⟩ .$