teal papers / BarTide collection

Wave amplitude ratio

TR-PINK-F-140

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
161
TEAL-RERUN-02-B007 | SCOPED_EXECUTION_VERIFIED
TR-PINK-F-140 / Wave amplitude ratio
IF
Invoke F-140 with exactly these inputs: wave_amplitude: Real, lake_depth: Real. Real values use finite decimal
text; null remains unknown.
HOW
Source expression: epsilon_a=a_wave/h_L. Current Bangel expression: wave_amplitude / lake_depth. Require
every input to be known. Require wave_amplitude >= 0.0 and lake_depth > 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 {"wave_amplitude": "0.1", "lake_depth": "2"}; expected 0.05. Result matched through Bangel,
admitted JP, the Bangel API, with validated receipt outputs. 2 missing-input cases and 1 supplied domain
cases passed.
SOURCE DIMENSION
dimensionless
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. 307,308; D013 pp. 85,86
Evidence: evidence/rerun/pink/F-140.json

Original references: F-140