∑Journal

Perception · W7 — Six Sealed Versions, Compositional Closure, First Archive

1 equation extracted from this document. Each equation pairs with the prose paragraph that immediately precedes it in the source — clicking the title above opens the full document.

Open source document →

#1
The compositional consistency question is the following. Two formations are read out via the active-count diagnostic . If we compose them through a kernel-side composition operator (the precise form is the W6 kernel convolution carried into the multi-formation interior), does
$K_{\mathrm{act}}^\varepsilon(\mathbf{u}_1 \circ_K \mathbf{u}_2) = f\big( K_{\mathrm{act}}^\varepsilon(\mathbf{u}_1),\ K_{\mathrm{act}}^\varepsilon(\mathbf{u}_2) \big)$