Manuscript Em02-D@4 · Em02-D-v4.tex · section · fcf2fac7

Advanced root and plateaux

Fixed model, root, and localization › Advanced root and plateaux · lines 270–294

Em02-D@4#eq:weights

Set

e (t) = {exp (- 1/ t), 0, t > 0, t \leq 0, ϑ (v) = \frac{e ( 4 - v )}{e ( 4 - v ) + e ( v - 1 )} .

Thus $ϑ = 1$ for $v \leq 1$ and $ϑ = 0$ for $v \geq 4$ .

Fix

F (x) = (1 + x^{0}) ϑ (∣ x ∣_{E}^{2} /16), f = (□_{η} + 1) F, g (x) = ϑ (∣ x ∣_{E}^{2} /36) .

The source switch is identically one.

Displayed formulas in this passage

Em02-D@4#eq:weights · line 287
$F (x) = (1 + x^{0}) ϑ (∣ x ∣_{E}^{2} /16), f = (□_{η} + 1) F, g (x) = ϑ (∣ x ∣_{E}^{2} /36) .$
unlabeled · line 273
$e (t) = {exp (- 1/ t), 0, t > 0, t \leq 0, ϑ (v) = \frac{e ( 4 - v )}{e ( 4 - v ) + e ( v - 1 )} .$