Manuscript Em01-G@5 · Em01-G-v5.tex · section · 3fbfe951

Exact positive-placement reduction and evaluated coefficient

Exact positive-placement reduction and evaluated coefficient · lines 1642–1663

For the marked positive incidence, define

w_{+} (ϑ, ϵ, ω) = (a, a + β ℓ, a - ϵ j_{ω}, a + α ℓ), R_{J}^{ρ} (n) = A^{ρ μ, J} ℓ_{μ} .

The notation $[\cdot]_{+}$ means: apply the displayed seed-chart derivatives first, then evaluate at

c = a, s = β ℓ, t = ϵ j_{ω}, y = a + α ℓ .

Use

d μ_{+} = d ϑ d ϵ d Ω_{ω} .

Displayed formulas in this passage

unlabeled · line 1645
$w_{+} (ϑ, ϵ, ω) = (a, a + β ℓ, a - ϵ j_{ω}, a + α ℓ), R_{J}^{ρ} (n) = A^{ρ μ, J} ℓ_{μ} .$
unlabeled · line 1654
$c = a, s = β ℓ, t = ϵ j_{ω}, y = a + α ℓ .$
unlabeled · line 1659
$d μ_{+} = d ϑ d ϵ d Ω_{ω} .$