teal papers / BarTide collection

Hagar robust salinity and population variance

TR-CORE-HAGAR-STATS

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
21
TEAL-RERUN-03-B001 | RELATED_EXECUTION_EVIDENCE_AVAILABLE
TR-CORE-HAGAR-STATS / Hagar robust salinity and
population variance
IF
Two or three probes survive input qualification.
HOW
Use the median/MAD threshold max(0.25,4.5*MAD); recompute accepted count, mean and squared
deviations. Divide variance by the accepted population count.
THEN
For the supplied demo, mean 35.01 and variance 0.0014 match. This variance is distinct from a between-node
difference.
CURRENT EVIDENCE
Fresh related language/paper/water checks are in the evidence ledger. The test count is suite evidence, not
proof of every branch in this requirement.
REMAINING REQUIREMENT
Use the source and recorded case evidence to close remaining per-branch, native-host and full-contract coverage gaps.
SOURCE REFERENCES
associated-core:products/water/bangel/hagar.bangel

Original references: See paper text and source PDF.