Manuscript XIV-D@1 · XIV-D.tex · section · 1a7f173d

The scalar channel on the retained output patch

The complete retained local incidence › The scalar channel on the retained output patch · lines 930–963

This does not delete $B_{10}, B_{11}$ from the frozen pair. Their scalar channel remains part of (eq:species) outside the retained output-location patch.

Branch	Retained mixed germ	Reason or obligation
$B_{1}$	Zero	Support in $b = z$ or $a = b$ .
$B_{2}$	Zero	Support in $a = b = z$ .
$B_{3}$	Zero	Support in $b = z$ or $a = b$ .
$B_{4}$	Retained	Both metric choices and all tensor components.
$B_{5}$	Retained	Both internal tree placements retained.
$B_{6}$	Retained	Local metric diagonal $a = z$ .
$B_{7}$	Retained	Symmetric second scalar derivative retained.
$B_{8}$	Retained	Full differentiated source; coordinate leg.
$B_{9}$	Retained	Full differentiated source; scalar leg.
$B_{10}$	Zero in this channel	Scalar channel retained globally, zero only on the chosen output-location patch.
$B_{11}$	Zero in this channel	Same qualification.

There are 24 potentially retained labelled mixed matchings on this germ: four for each of the six branches. This is not a count of nonzero tensor monomials.

The scalar channel on the retained output patch

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