Manuscript XVI-M@1 · XVI-M.tex · remark · 7346c909
Remark: Single switch; preferred presentation
M.4 Contact collapse and Helmholtz conditions · lines 1011–1018
XVI-M@1#rem:singleswitch
The preferred three-equation form keeps the physical coefficient (XVI-L style) and the reduced , and collapses by with no further outside .
Equivalently one may write everything in switch-free hats with a single explicit in and in ; both presentations are the same if and only if exactly one overall switch factor is used.
Earlier drafts that wrote and a second in the collapse were double-counting in prose.
The recorded computation uses a single switch factor: graph_general_table.txt stores with suppressed, and m4_common.collapse_column applies Leibniz once to .
Certificates A/B/B2 already used one switch factor; the numerical collapse matrices are unchanged by this notation alignment.
Nearby in this section
- definition: Definition: Contact collapse
- lemma: Lemma: Joint derivative budget
- proposition: Proposition: Collapse rank
- definition: Definition: Formal adjoint and self-adjoint subspace
- lemma: Lemma: Helmholtz lemma for linear operators
- section: M.4 Contact collapse and Helmholtz conditions
- theorem: Theorem: Variational subspace of the contact collapse
- remark: Remark: Eight third-order double-plateau variational directions