{
"operations": [
{
"id": "cap_resolved_life",
"input": "labelledbaselineL andresolvedcapacityc",
"action": "y=min(L,c)",
"output": "selectedlifecountwithsourcecounttag",
"preserved": "orderundercoordinatewiseincrease; unchangedinputbelowcap",
"lost": "excessL\u2212c abovecap",
"retained_recovery": "branch-appropriateexcess/residualregister",
"evidence": [
"C1202",
"C1204",
"C1206"
]
},
{
"id": "round_resolved_count",
"input": "specifiednonnegativeintegerrowcount",
"action": "Q(x)=5floor((x+2)/5)",
"output": "roundedrowcountplusoptionalrho=x\u2212Q(x)",
"preserved": "order;translationsby5Z",
"lost": "within-cellresidualwhenomitted",
"retained_recovery": "Q(x)+rho=x;aggregatepathresidualisun-normalizedsum",
"evidence": [
"C1190",
"C1213",
"C1277",
"C1278"
]
}
],
"composition": "Q(min(L,c))=min(Q(L),Q(c)) forconsistentlyresolvedcounts; separatelyroundeddatecapacitiesarenotthesameinput.",
"classification": "Monotone many-to-onemaps; notinvertibleaffinesymmetries."
}
Evidence
operations cap and round.json
Edition and provenance
operations_cap_and_round.json
SHA-256 7283fef390fea970c5f46796435bcb3ca98ae84d8b6a149a0ffb60fe06563008
C480–C1634/Research_Cycles/C1132_C1431_Recovered/model/operations_cap_and_round.json