Manuscript XII-F@1 · XII-F.tex · definition · 54cb3169

Definition: The two remainder functionals

F1: the sheet and the four-row ledger · lines 543–554

XII-F@1#eq:remainder-names

For fixed $ξ, f, g$ set

C_{ξ} [γ, ϕ] E_{ξ} [γ, ϕ] B_{ξ} [b, ϕ] := A_{1} [f, g] (K ρ_{ξ} [γ]; ϕ), := \int (L_{ξ} β_{f, g} [ϕ]) \cdot A γ d^{4} y, := - 2 \int (D L_{ξ} β_{f, g} [ϕ])_{ν} b^{ν} d^{4} y .

Displayed formulas in this passage

XII-F@1#eq:remainder-names · line 545
$C_{ξ} [γ, ϕ] E_{ξ} [γ, ϕ] B_{ξ} [b, ϕ] := A_{1} [f, g] (K ρ_{ξ} [γ]; ϕ), := \int (L_{ξ} β_{f, g} [ϕ]) \cdot A γ d^{4} y, := - 2 \int (D L_{ξ} β_{f, g} [ϕ])_{ν} b^{ν} d^{4} y .$