Manuscript X-I-ST@1 · X-I-ST.tex · section · 9745fd40

The finite lift and its explicit next residual

The finite lift and its explicit next residual · lines 1201–1214

A statement in $R_{3}$ does not assign canonical values to fourth-order coefficients. To discuss them, fix the ordinary polynomial lift

S_{λ} = S_{0} + κ S_{1} + κ^{2} S_{2} + κ^{3} (S_{3} + λ V_{a})

with no additional terms. Every higher residual below refers to this named lift.

Displayed formulas in this passage

unlabeled · line 1207
$S_{λ} = S_{0} + κ S_{1} + κ^{2} S_{2} + κ^{3} (S_{3} + λ V_{a})$