Manuscript XIX-B@1 · XIX-B.tex · corollary · b5670709

Corollary: Second-order terms do not repair the fixed mismatch

The first-order mismatch theorem · lines 1080–1095 · proof included or linked

XIX-B@1#cor:order

A correction starting at second coordinate order cannot make

x + κ w_{λ} + κ^{2} v and x + κ X_{cand} + κ^{2} z

equal modulo $κ^{3}$ , while their displayed first coefficients remain fixed.

Proof. Equality modulo $κ^{3}$ requires equality of the coefficient of $κ$ . Theorem thm:mismatch disproves that equality.

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