MJos Predictive Model | First manifestation of the Bangel Language

MJ Physics Engineering | Owned and operated by Michael Bangel | Clearwater, Florida

PP-186 / Purple / Review draft

Lecanto pixel residual / Lecanto spectral residual

Terminology revised ยท evidence inherited

PURPLE PAGES Combined 300 Pages. Source pages 2501-2501. Nomenclature updated; historical equations, evidence limits and unresolved relationships retained. Paper notation is a reference profile; the repository reports unresolved Purple/Yellow relationships, so this is not an approved bangel 1.0 program.

PP-186
Lecanto pixel residual / Lecanto spectral residual
MJ-PBMEF-DAY0-R11-COLOR-PAPERS-180K-FINAL
Syntax expression for BP-ALG-186
module MJ.PBMEF.Blue.BP-ALG-186 {
reference F-236, F-237;
expression "F-236 = D_px = (1/N) sum ||I_test-I_ref||_2 ; F-237 = D_fft = ||FFT(I_test)-FFT(I_ref)||_2";
constraint unknown != zero;
verify MK.physics, JO.proof;
permit MJ.required;
}
EXACT MATH OR TYPED IDENTITY
F-236: D_px = (1/N) sum ||I_test-I_ref||_2; F-237: D_fft = ||FFT(I_test)-FFT(I_ref)||_2
CODE -> MATH -> IMAGE -> PROCESS FLOW
Syntax is parsed as a reference candidate; formula or identity resolves to JP; MK classifies physics applicability; JO verifies; visual reference YP-016 presents the
normalized blueprint; Teal TP-186 expresses IF/HOW/THEN; Brown BR-186 expresses the R lifecycle; MJ remains the permit boundary.
RELATED WHITE/PINK SOURCES
FORMULA-REGISTER.json (F-236, F-237); Pink Paper formula volumes; relevant family/product White Papers; Blue Page register entry BP-ALG-186.
Michael Patrick Bangel | MJ Physics Engineering | internal pre-passkey reference | no physical, legal, financial, regulatory, or IP-right approval
186

Publication is pending owner review. White papers are excluded.

NO COMMERCIAL OR PUBLIC USE PERMITTED