Manuscript XV-C@1 · XV-C.tex · section · 5afd124d

Graph-level bounds and the admission boundary

Graph-level bounds and the admission boundary · lines 1265–1307

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The predecessor data distinguish three operations:

  1. reconstruction of defined internal distributions;

  2. canonical cross-line composition on its proved open domain;

  3. the full characteristic graph operation on tests meeting .

The XIV-I internal amplitude result supplies the first operation in its named module, not the third Iamplitude,Ijoint.

The supported reference provides a wavefront bound only for on Jreference. The estimates in this paper concern unrestricted coefficient extendability and finite local distributional order. They do not prove:

  1. a complete-graph wavefront bound across the characteristic locus;

  2. uniform transverse estimates for the actual joint section;

  3. compatibility on intersections of characteristic and collision strata;

  4. compatibility with the frozen contact and partial-diagonal ambiguity;

  5. proper output pushforward or restriction estimates;

  6. the normalized output admission (eq:admission).

A response-normal insertion order is not a transverse degree of the quantum graph. Likewise, internal frequency homogeneity is not a transverse estimate for the later composition. The supplied null presentation is an additional reason presentation degree must not be treated as an intrinsic reconstructed filtration without a descent proof.

The ambient characteristic locus, its attachment-variable lift, the response incidence, and collision loci are not identified with one another. Their equations and intersections must be supplied before stratum-specific estimates can be formulated.

No interacting differential is applied to an unconstructed coefficient, and no quantum Ward defect is formed.