teal papers / BarTide collection

First-noise rectangle height

TR-PINK-F-081

MJ Physics Engineering | Bangel Language | MJos Operating System
Owned and operated by Michael Bangel | Clearwater, Florida

Updated collection edition: BarTide branding and navigation added September 26, 2026. The original paper text below retains its historical scope. Inclusion does not claim its research is implemented in BarTide.

Terminology revised · September 12 evidence

TEAL LIBRARY RERUN  |  12 SEPTEMBER 2026  |  Michael Patrick Bangel
102
TEAL-RERUN-02-B005 | SCOPED_EXECUTION_VERIFIED
TR-PINK-F-081 / First-noise rectangle height
IF
Invoke F-081 with exactly these inputs: noise_height: Real. Real values use finite decimal text; null remains
unknown.
HOW
Source expression: H_R=h_noise,1. Current Bangel expression: noise_height. Require every input to be
known. Require noise_height > 0.0.
THEN
Emit the scoped calculation result. Missing inputs produce their specific PINK_MISSING_* HOLD; failed profile
checks produce PINK_DOMAIN. A false numeric predicate can occur in a PASS calculation receipt; it is not
permission.
CURRENT EVIDENCE
Fixture inputs {"noise_height": "3"}; expected 3. Result matched through Bangel, admitted JP, the Bangel API,
with validated receipt outputs. 1 missing-input cases and 1 supplied domain cases passed.
SOURCE DIMENSION
length
REMAINING REQUIREMENT
Complete the source-defined measurement/evidence contract, units and calibration bindings. Native C# and Hagar formula-ID
bindings remain unverified in this rerun.
SOURCE REFERENCES
D006 pp. 183,184; D012 pp. 67,68
Evidence: evidence/rerun/pink/F-081.json

Original references: F-081