Manuscript X-Enter@1 · X-Enter.tex · section · 484b71bc

Selective obstruction and retained-order test

Selective obstruction and retained-order test · lines 690–702

This is a small-signal encoding test, not a new expansion of the X-A–Convolution prescription. It also detects records missed by a first-derivative test: Hadamard followed by Enter has

Pr (1 ∣ a) = \frac{1 - sech ( a / σ )}{2} = \frac{a ^{2}}{4 σ ^{2}} + O (a^{4}) .

Its linear response vanishes at zero, but it is not invariant.

Displayed formulas in this passage

unlabeled · line 696
$Pr (1 ∣ a) = \frac{1 - sech ( a / σ )}{2} = \frac{a ^{2}}{4 σ ^{2}} + O (a^{4}) .$

Nearby in this section

theorem: Theorem: Amplitude visibility or erasure
section: Selective obstruction and retained-order test
theorem: Theorem: Second-order test