Manuscript En05-B@1 · En05-B.tex · section · 8b626460

Uniform metric estimates on all sites

Uniform metric estimates on all sites · lines 535–555

En05-B@1#eq:constants

Abbreviate

F_{n} = N_{n} + 1, s_{n} = F_{n} a_{n}, U_{n} = \frac{s _{n}}{c} = F_{n} h_{n}, A_{n} = \frac{s _{n}}{ℓ _{n}} = (1 + \frac{1}{N _{n}})^{2}, λ_{n} = \frac{A _{n}}{1 - 2/ K _{n}}, B_{n} = (3 + 2 λ_{n}) s_{n} + a_{n}, ρ_{n} = \frac{2}{2} δ_{n} .

Then

λ_{n} ⟶ 1, B_{n} = O (ℓ_{n}), U_{n} = O (ℓ_{n} / c) .

Displayed formulas in this passage

En05-B@1#eq:constants · line 538
$F_{n} = N_{n} + 1, s_{n} = F_{n} a_{n}, U_{n} = \frac{s _{n}}{c} = F_{n} h_{n}, A_{n} = \frac{s _{n}}{ℓ _{n}} = (1 + \frac{1}{N _{n}})^{2}, λ_{n} = \frac{A _{n}}{1 - 2/ K _{n}}, B_{n} = (3 + 2 λ_{n}) s_{n} + a_{n}, ρ_{n} = \frac{2}{2} δ_{n} .$
unlabeled · line 551
$λ_{n} ⟶ 1, B_{n} = O (ℓ_{n}), U_{n} = O (ℓ_{n} / c) .$