Manuscript XV-F@3 · XV-F-v3.tex · section · d4e74afa

The coordinate-response line and the candidate reduction

Source manifest (Gate F0) › The coordinate-response line and the candidate reduction · lines 1213–1233

XV-F@3#eq:L, XV-F@3#eq:XIIA

XIV-H's eq:L HeqL:

L^{μ, I} (s, a) = σ_{ε} (a) A^{λ μ, I} \partial_{a^{λ}} R (s - a), X^{μ} [h] (s) = \int L^{μ, I} (s, a) h_{I} (a) d^{4} a .

XV-E transcribed from XII-A and XII-D XIIA,XIID

Λ^{μ, ab} (x, z) = σ_{ε} (z) a^{α μ, ab} \partial^{z}_{α} E_{0}^{R} (x - z), G^{R}_{gr} = - P E_{0}^{R},

with $a$ as in (eq:a1).

Displayed formulas in this passage

XV-F@3#eq:L · line 1216
$L^{μ, I} (s, a) = σ_{ε} (a) A^{λ μ, I} \partial_{a^{λ}} R (s - a), X^{μ} [h] (s) = \int L^{μ, I} (s, a) h_{I} (a) d^{4} a .$
XV-F@3#eq:XIIA · line 1224
$Λ^{μ, ab} (x, z) = σ_{ε} (z) a^{α μ, ab} \partial^{z}_{α} E_{0}^{R} (x - z), G^{R}_{gr} = - P E_{0}^{R},$