Manuscript I-B-VP-1@1 · I-B-VP-1-v1.tex · section · 6d700be9

The scalar generating distribution

Strong radial finite parts › The scalar generating distribution · lines 475–489

I-B-VP-1@1#eq:crho

Fix a length $L > 0$ and a smooth profile

ρ : [0, \infty) ⟶ [0, 1], ρ (u) = 0 (u \leq 1), ρ (u) = 1 (u \geq 2) .

Put

c_{ρ} = \int_{1}^{2} \frac{ρ ( u ) - 1}{u} d u .

Displayed formulas in this passage

I-B-VP-1@1#eq:crho · line 485
$c_{ρ} = \int_{1}^{2} \frac{ρ ( u ) - 1}{u} d u .$
unlabeled · line 478
$ρ : [0, \infty) ⟶ [0, 1], ρ (u) = 0 (u \leq 1), ρ (u) = 1 (u \geq 2) .$