Manuscript XV-F-patch@1 · XV-F-patch.tex · section · 6d6ef16d

The displayed target

Patch J: the target, blocks, stress, and map clauses › The displayed target · lines 1528–1561

XV-F-patch@1#eq:target, XV-F-patch@1#eq:retained

{Defines the formal target in the source. XIV-J.tex; eq:target; reported lines 719–730.}

The source target is

T_{form} = i Contr^{γ ϕ} (V_{g}^{''}_{γ ϕ}, K_{ret}; H_{T}_{γ γ} (y, a) \otimes H_{T}_{ϕϕ} (y, b) - H_{γ γ} (y, a) \otimes H_{ϕϕ} (y, b)) .

Its retained internal sum is

K_{ret} = K_{47} + K_{5} + K_{6} + K_{8} + K_{9}, K_{5} = K_{5}^{[a]} + K_{5}^{[z]} .

Thus there are six operational entries: $K_{47}$ , the two $K_{5}$ placements, $K_{6}$ , $K_{8}$ , and $K_{9}$ . Grouping $K_{4} + K_{7}$ does not remove one of the other entries. The supported sector

K_{supp} = K_{6} + K_{8} + K_{9}

is a proper sub-sector, not another name for the complete target.

Displayed formulas in this passage

XV-F-patch@1#eq:target · line 1534
$T_{form} = i Contr^{γ ϕ} (V_{g}^{''}_{γ ϕ}, K_{ret}; H_{T}_{γ γ} (y, a) \otimes H_{T}_{ϕϕ} (y, b) - H_{γ γ} (y, a) \otimes H_{ϕϕ} (y, b)) .$
XV-F-patch@1#eq:retained · line 1548
$K_{ret} = K_{47} + K_{5} + K_{6} + K_{8} + K_{9}, K_{5} = K_{5}^{[a]} + K_{5}^{[z]} .$
unlabeled · line 1557
$K_{supp} = K_{6} + K_{8} + K_{9}$

The displayed target

Displayed formulas in this passage

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