Manuscript VII-A@1 · VII-A.tex · section · 11da3fe6

A valid equality criterion

Support and comparison of switches › A valid equality criterion · lines 1645–1658

VII-A@1#eq:cutoffdifference

Agreement merely on a neighbourhood of $supp f$ is weaker. At first order the difference is explicitly

A_{1}^{(g_{2})} - A_{1}^{(g_{1})} = - E_{m} Q_{(g_{2} - g_{1}) h}^{(m)} ϕ_{0} .

The right-hand side samples the causal past. A common observation plateau alone does not force its source or its retarded propagation to vanish.

Displayed formulas in this passage

VII-A@1#eq:cutoffdifference · line 1649
$A_{1}^{(g_{2})} - A_{1}^{(g_{1})} = - E_{m} Q_{(g_{2} - g_{1}) h}^{(m)} ϕ_{0} .$