Manuscript Em01-C@3 · Em01-C-v3.tex · section · f0953702

The inherited unreduced coordinate map

Component conventions and the retained internal expression › The inherited unreduced coordinate map · lines 718–739

Em01-C@3#eq:K8-unreduced

To make the causal plateau argument reproducible, display the unreduced expression used for the coordinate-response branch in XIV-H XIVH (formula eq:K8map):

K_{8}^{I, J} = - \partial_{b^{μ}} [f (b) \int \int R (b - s) \partial_{s^{α}} (σ_{ε} (s) A^{α μ}_{L} P^{L}_{M} R (s - v) Q^{M, I, J} (v; a, z)) d^{4} s d^{4} v] .

Its identification as the physical coordinate-response branch is inherited. The equality between this printed expression and (eq:K8) on the retained patch is proved next.

Displayed formulas in this passage

Em01-C@3#eq:K8-unreduced · line 723
$K_{8}^{I, J} = - \partial_{b^{μ}} [f (b) \int \int R (b - s) \partial_{s^{α}} (σ_{ε} (s) A^{α μ}_{L} P^{L}_{M} R (s - v) Q^{M, I, J} (v; a, z)) d^{4} s d^{4} v] .$