Manuscript X-C@3 · X-C-v3.tex · definition · 2260f5f8

Definition: Coordinate and switch defects

C4: completed test, three-term variation, and cancellation › Scalar and density pullbacks · lines 1033–1044

X-C@3#def:defects

For $q^{'} = F^{*} q$ , define

Θ_{F} [q] = c [q^{'}] - F^{♯} c [q], Σ_{F} [q] = E_{g} [q^{'}] F^{*} - F^{♯} E_{g} [q] .

Write $Θ_{F} = κ Θ^{(1)} + κ^{2} Θ^{(2)}$ and $Σ_{F} = κ Σ^{(1)} + κ^{2} Σ^{(2)}$ .

Displayed formulas in this passage

unlabeled · line 1036
$Θ_{F} [q] = c [q^{'}] - F^{♯} c [q], Σ_{F} [q] = E_{g} [q^{'}] F^{*} - F^{♯} E_{g} [q] .$