Manuscript X-D-ST@1 · X-D-ST.tex · section · e0cf8fdb

Limiting bare and completed tests

Propagation and the fixed-support convergence theorem › Limiting bare and completed tests · lines 1125–1144

Back to manuscript

This reproduces the fixed-input conclusion of X-D XD (:convergence); no parent convergence theorem was used in its proof.

The representative tests converge before taking equation classes. No quotient cancellation rescues a divergent representative family. For every continuous seminorm on , continuity of also gives

This is not an operator-norm estimate in a Hilbert representation or a channel estimate for a field detector.

Displayed formulas in this passage

  • unlabeled · line 1139

Nearby in this section