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

Direct componentwise finite parts

Strong radial finite parts › Direct componentwise finite parts · lines 638–656

I-B-VP-1@1#eq:rawVQ, I-B-VP-1@1#eq:rawS

We shall write

V_{L}^{c} = R_{L} [r^{- 4}], Q_{L, i}^{c} = R_{L} [x_{i} / r^{4}],

S_{L, ij}^{c} = R_{L} [r^{- 4} (4 \frac{x _{i} x _{j}}{r ^{2}} - 3 δ_{ij})] .

The superscript $c$ denotes componentwise cutoff finite parts, not a conserved prescription.

Displayed formulas in this passage

I-B-VP-1@1#eq:rawVQ · line 641
$V_{L}^{c} = R_{L} [r^{- 4}], Q_{L, i}^{c} = R_{L} [x_{i} / r^{4}],$
I-B-VP-1@1#eq:rawS · line 646
$S_{L, ij}^{c} = R_{L} [r^{- 4} (4 \frac{x _{i} x _{j}}{r ^{2}} - 3 δ_{ij})] .$