Operation Inventory C1302.json

{
  "title": "Commonoperationinventory",
  "operation_ids": [
    "row_repartition",
    "life_adjustment",
    "accumulate_measure",
    "insert_source_row",
    "cap_resolved_life",
    "round_resolved_count",
    "translate_with_residual",
    "anchored_Key",
    "scoped_translation",
    "reverse_original_components_once",
    "group_source_blocks",
    "source_reflection"
  ],
  "modules": [
    {
      "path": "model/operations_row_changes.json",
      "sha256": "c47e3d756c6f6a68a4fbce1c87b14ef2681892ad3c0c8e10f1daf87c95668903",
      "content": {
        "operations": [
          {
            "id": "row_repartition",
            "input_object": "ordinarycompatible(b,r,L),L=b+r",
            "action": "(b+d,r\u2212d,L)",
            "preserved": "L",
            "lost": "nonewhen d retained",
            "domain": "b+d>=0 andr\u2212d>=0; sourcechoosesallowedd androws",
            "source_support": "namedrowmask",
            "evidence": [
              "C1152",
              "C1173",
              "C1175"
            ]
          },
          {
            "id": "life_adjustment",
            "input_object": "ordinarycompatible(b,r,L),L=b+r",
            "action": "(b,r+e,L+e)",
            "preserved": "b",
            "lost": "nonewhen e retained",
            "domain": "r+e>=0; sourcechoosesallowede androws",
            "source_support": "namedrowmask",
            "evidence": [
              "C1152",
              "C1182"
            ]
          }
        ],
        "combined": "Uniqueordinaryrowdifference hasd=delta_b ande=delta_L.",
        "composition": "Unrestrictedmapscommute; intermediatevalidity andsourceadmission areadditionalconditions.",
        "not_applied": "InclusiveSPcountrows arenotsilentlyordinarybiographies."
      }
    },
    {
      "path": "model/operations_measure_and_insert.json",
      "sha256": "cfbb6e920db5eb788f74fb7c86f2dd626159d63a619c7cd7f93085bc6184951c",
      "content": {
        "operations": [
          {
            "id": "accumulate_measure",
            "input": "orderedlabelledweightsw andterminala",
            "action": "X_i=a+sum(w_j forj>=i)",
            "output": "completeboundaryfield",
            "preserved": "order and everyedgeweight whencompletefield+terminalretained",
            "lost": "internalweightsifonlyheadtotalretained",
            "measure_choices": "effectivebirthinterval,selectedlifespan,NTslot,countcategory",
            "evidence": [
              "C1185",
              "C1234",
              "C1267"
            ]
          },
          {
            "id": "insert_source_row",
            "input": "source-authorizedlocation androw(b,r,L)",
            "action": "addnamedvertex anditsselectededge/rowmeasure",
            "output": "neworderedsourceobject",
            "preserved": "unaffecteddownstreamsourcefield",
            "lost": "noneifinsertionidentityretained",
            "Cainan": "130Regular,460Cumulative; nativeLXXalreadyON",
            "evidence": [
              "C1187",
              "C1188",
              "C1255"
            ]
          }
        ],
        "connection": "Differentmeasurements ofoneinsertedrow arelinkedbyitsbiographicaldata, notbyidentifying130and460."
      }
    },
    {
      "path": "model/operations_cap_and_round.json",
      "sha256": "7283fef390fea970c5f46796435bcb3ca98ae84d8b6a149a0ffb60fe06563008",
      "content": {
        "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."
      }
    },
    {
      "path": "model/operation_rounded_residual_lift.json",
      "sha256": "bd2161f77a5734cf947305a44807fda26a4662b73b0caf57042f145a29dc7c11",
      "content": {
        "id": "translate_with_residual",
        "input": "(y,rho),y in5Z,rho in[-2,2],x=y+rho;source-authorizedintegerd",
        "action": "(y+Q_Z(rho+d),rho+d\u2212Q_Z(rho+d))",
        "output": "losslessRoundedplusresidualencodingofx+d",
        "preserved": "exactreconstructedvalueunderknownshift;T_eT_d=T_(d+e)",
        "lost": "nonewhilebothcoordinatesretained",
        "without_residual": "Universalactiononroundedcellsexistsonlyfor d in5Z",
        "source_domain": "Algebraicnegativeauxiliaryresidualallowed;originaldurationandchronologystatesremain source-qualified.",
        "evidence": [
          "C1218",
          "C1219 all105measurements",
          "C1220",
          "C1221"
        ]
      }
    },
    {
      "path": "model/operations_Key_and_translation.json",
      "sha256": "378a5168356f3f31aff4f1290967e70e8ad64bad0b69bf2c3903e7f205bad224",
      "content": {
        "operations": [
          {
            "id": "anchored_Key",
            "input": "typedcoordinatex,pivota,exactfactork,coordinatechartandunits",
            "action": "a+k(x\u2212a)",
            "output": "generatedcomparisoncoordinateinthesamedeclaredchart",
            "preserved": "ratiosofdifferencesaboutheldpivot; schematicdayvolume when calendarunitmatched",
            "lost": "noneoverrationalswithpivotandnonzerofactorretained",
            "domain": "Sourceappointedroute;integerstagedomainrequiresdivisibility",
            "evidence": [
              "Strategy3.3/5C",
              "C984\u2013C1007 inherited",
              "C1226"
            ]
          },
          {
            "id": "scoped_translation",
            "input": "declaredsourcefieldandmovingmask,magnitudet",
            "action": "x_i\u2192x_i+t onallowednodes",
            "output": "sourcevariantorcomparisonfieldwithsamecounttags",
            "preserved": "internaldifferenceswhensamenodestranslate together",
            "lost": "absoluteframeiftranslationforgotten",
            "domain": "PrimarySojournscope,ApparentAgeandlocalGearscopeseachseparate",
            "evidence": [
              "C1256",
              "C1263",
              "C1228"
            ]
          }
        ],
        "order_relation": "D_k T_t=T_(kt) D_k inlinearcoordinates;generallynotT_t D_k",
        "pivot_relation": "Changingonlyananchorisnottranslatingthecompleteobject."
      }
    },
    {
      "path": "model/operation_single_reversal.json",
      "sha256": "491fcb2e22c636250b8114a27e689cd1f67e448859dd29c290f1799c72d28fbe",
      "content": {
        "id": "reverse_original_components_once",
        "input": "source-appointedorderedwordoforiginalnonnegativeintegerdurations",
        "action": "Forpositive10^z m with10notdividingm, keep10^z andreverse decimaldigitsofm;zero maps tozero. Applyonceto eachadmittedoriginalpart.",
        "output": "orderedtransformedwordwithoriginalpartitionprovenance",
        "preserved": "sourcepartlabelsanddeclaredplaceholderpolicy;notgeneralsums",
        "lost": "Repartitioningchangesoutput; do nottreattransformedwordasoriginalinput",
        "domain": "File52c admittedsinglepassroutes;notgeneralMirror orsame-sidereflection",
        "composition_conditions": "UniformrationalKeymayfollowondeclaredspan; sourcegridinterpretationandheldanchorretained",
        "evidence": [
          "File52c1.2",
          "C1058\u2013C1068 inherited",
          "C1273\u2013C1276"
        ],
        "excluded": "inverseoftheinverse"
      }
    },
    {
      "path": "model/operations_group_and_reflect.json",
      "sha256": "e544e9ff27d160fd1748095fbf88dbbc486a9c463725d99acc71e9833ca11448",
      "content": {
        "operations": [
          {
            "id": "group_source_blocks",
            "input": "orderedweightedsourceobjectanddeclaredblockmap",
            "action": "sumweightsinblocks; retainmultiplicityforidentifiedoccurrences",
            "output": "coarserlabelledmeasure",
            "preserved": "totalmeasurewhenweightsandmultiplicitiescarried",
            "lost": "internalpositionsandweightsunlessretainedseparately",
            "domain": "Sourcecategoriesandorderdeclaredbeforeexecution",
            "evidence": [
              "C1009\u2013C1029",
              "C1277"
            ]
          },
          {
            "id": "source_reflection",
            "input": "declaredcoordinatechartorfiniteorderedobjectwithappointedcenter/reversal",
            "action": "applythesource-definedreflectiononthatobject",
            "output": "reflectedfieldwithsameobjecttags",
            "preserved": "dependsonthefixedsourceaction;groupingmustmapwholefibrescompatiblyfordescent",
            "lost": "noautomaticdescenttoarbitraryquotients",
            "domain": "RoundedqMirror,civil-displayreflectionandsame-sidereflectionaredistinct",
            "evidence": [
              "Strategy4.5/5E",
              "C1024\u2013C1029 inherited"
            ]
          }
        ],
        "contrast": "NTseven-edgegroupingpreservesitsreflection;Toledotoccurrencecollapsepreservesmeasurewithmultiplicitybutnotitsreflection."
      }
    }
  ],
  "interpretation": "Onevocabularyofsource-qualifiedoperations; notoneoperationavailableoneveryfamily.",
  "composition_rule": "Outputmeasure,state,count,role,anchor andinformation mustsatisfythestatednextinputdomain."
}