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KB Term:  Term intersection
English Word: 

  KappaFn

Sigma KEE - KappaFn
KappaFn

appearance as argument number 1
-------------------------


(documentation KappaFn ChineseLanguage "这是一个组成类别的运算符,它拿两个参数:一个变数和一个 包含属于这个变数,起码一个不受限制例子的公式。应用 KappaFn 到一个变数和一个公式的结果是一个包含 满足这个公式东西的 SetOrClass。例如:我们用以下的方式表达小于100素数的 SetOrClass: (KappaFn ?NUMBER (and (instance ?NUMBER PrimeNumber) (lessThan ?NUMBER 100)))。注:请尽量避免 用这个函数,因为目前还没有编写公理来支持它。") chinese_format.kif 2318-2322
(documentation KappaFn EnglishLanguage "A class-forming operator that takes two arguments: a variable and a formula containing at least one unbound occurrence of the variable. The result of applying KappaFn to a variable and a formula is the Class of things that satisfy the formula. For example, we can denote the Class of prime numbers that are less than 100 with the following expression: (KappaFn ?NUMBER (and (instance ?NUMBER PrimeNumber) (lessThan ?NUMBER 100))). Note that the use of this function is discouraged, since there is currently no axiomatic support for it.") Merge.kif 5348-5356
(domain KappaFn 1 SymbolicString) Merge.kif 5344-5344
(domain KappaFn 2 Formula) Merge.kif 5345-5345
(instance KappaFn BinaryFunction) Merge.kif 5342-5342
(instance KappaFn PartialValuedRelation) Merge.kif 5343-5343
(range KappaFn Class) Merge.kif 5346-5346

appearance as argument number 2
-------------------------


(format ChineseLanguage KappaFn " %1 所描述的类别") chinese_format.kif 508-508
(format EnglishLanguage KappaFn "the class described by %1") english_format.kif 516-516
(termFormat ChineseLanguage KappaFn "卡帕") domainEnglishFormat.kif 32112-32112
(termFormat ChineseLanguage KappaFn "组成类别函数") chinese_format.kif 509-509
(termFormat ChineseTraditionalLanguage KappaFn "卡帕") domainEnglishFormat.kif 32111-32111
(termFormat EnglishLanguage KappaFn "kappa") domainEnglishFormat.kif 32110-32110

antecedent
-------------------------


(<=>
    (and
        (instance ?Account PersonalAccount)
        (greaterThan
            (CardinalityFn
                (KappaFn ?Agent
                    (accountHolder ?Account ?Agent))) 1))
    (instance ?Account JointAccount))
FinancialOntology.kif 961-965
(=>
    (and
        (instance ?BUYINGS Collection)
        (instance ?GMB CurrencyMeasure)
        (instance ?TOTAL RealNumber)
        (equal ?GMB
            (GMBFn ?BUYINGS))
        (equal ?TOTAL
            (CardinalityFn
                (KappaFn ?ITEM
                    (and
                        (instance ?ITEM Object)
                        (exists (?BUYING)
                            (and
                                (member ?BUYING ?BUYINGS)
                                (patient ?ITEM ?BUYING))))))))
    (equal
        (ABPFn ?BUYINGS)
        (DivisionFn ?GMB ?TOTAL)))
UXExperimentalTerms.kif 3447-3467
(=>
    (and
        (instance ?SELLINGS Collection)
        (instance ?GMV CurrencyMeasure)
        (instance ?TOTAL RealNumber)
        (equal ?GMV
            (GMVFn ?SELLINGS))
        (equal ?TOTAL
            (CardinalityFn
                (KappaFn ?ITEM
                    (and
                        (instance ?ITEM Object)
                        (exists (?SELLING)
                            (and
                                (member ?SELLING ?SELLINGS)
                                (patient ?SELLING ?ITEM))))))))
    (equal
        (ASPFn ?SELLINGS)
        (DivisionFn ?GMV ?TOTAL)))
UXExperimentalTerms.kif 3490-3510

consequent
-------------------------


(<=>
    (equal
        (BirthsPerThousandFn ?AREA
            (YearFn ?YEAR)) ?REALNUMBER)
    (and
        (equal
            (DivisionFn
                (PopulationFn ?AREA) 1000) ?THOUSANDS)
        (equal ?BIRTHCOUNT
            (CardinalityFn
                (KappaFn ?BIRTH
                    (and
                        (instance ?BIRTH Birth)
                        (experiencer ?BIRTH ?INFANT)
                        (instance ?INFANT Human)
                        (during
                            (WhenFn ?BIRTH)
                            (YearFn ?YEAR))
                        (equal
                            (WhereFn ?BIRTH
                                (WhenFn ?BIRTH)) ?AREA)))))
        (equal
            (DivisionFn ?BIRTHCOUNT ?THOUSANDS) ?REALNUMBER)))
People.kif 104-117
(<=>
    (equal
        (DeathsPerThousandFn ?AREA
            (YearFn ?YEAR)) ?REALNUMBER)
    (and
        (equal
            (DivisionFn
                (PopulationFn ?AREA) 1000) ?THOUSANDS)
        (equal ?DEATHCOUNT
            (CardinalityFn
                (KappaFn ?DEATH
                    (and
                        (instance ?DEATH Death)
                        (experiencer ?DEATH ?PERSON)
                        (instance ?PERSON Human)
                        (during
                            (WhenFn ?DEATH)
                            (YearFn ?YEAR))
                        (equal
                            (WhereFn ?DEATH
                                (WhenFn ?DEATH)) ?AREA)))))
        (equal
            (DivisionFn ?DEATHCOUNT ?THOUSANDS) ?REALNUMBER)))
People.kif 138-151
(<=>
    (equal
        (DeathsPerThousandLiveBirthsFn ?AREA
            (YearFn ?YEAR)) ?REALNUMBER)
    (and
        (equal ?BIRTHCOUNT
            (CardinalityFn
                (KappaFn ?BIRTH
                    (and
                        (instance ?BIRTH Birth)
                        (experiencer ?BIRTH ?INFANT)
                        (instance ?INFANT Human)
                        (during
                            (WhenFn ?BIRTH)
                            (YearFn ?YEAR))
                        (equal
                            (WhereFn ?BIRTH
                                (WhenFn ?BIRTH)) ?AREA)))))
        (equal
            (DivisionFn ?BIRTHCOUNT 1000) ?THOUSANDSOFBIRTHS)
        (equal ?INFANTDEATHCOUNT
            (CardinalityFn
                (KappaFn ?DEATH
                    (and
                        (instance ?DEATH Death)
                        (experiencer ?DEATH ?INFANT)
                        (instance ?INFANT Human)
                        (age ?INFANT
                            (MeasureFn ?AGE YearDuration))
                        (lessThan ?AGE 1)
                        (during
                            (WhenFn ?DEATH)
                            (YearFn ?YEAR))
                        (equal
                            (WhereFn ?DEATH
                                (WhenFn ?DEATH)) ?AREA)))))
        (equal
            (DivisionFn ?INFANTDEATHCOUNT ?THOUSANDSOFBIRTHS) ?REALNUMBER)))
People.kif 253-277
(<=>
    (equal
        (FemaleLifeExpectancyAtBirthFn ?AREA
            (YearFn ?YEAR)) ?REALNUMBER)
    (exists (?LIST)
        (and
            (instance ?LIST List)
            (instance
                (ListLengthFn ?LIST) ?COUNT)
            (forall (?LISTITEM)
                (=>
                    (inList ?LISTITEM ?LIST)
                    (and
                        (instance ?LISTITEM ?LIFEEXPECTANCYAGE)
                        (not
                            (exists (?NUMBER)
                                (and
                                    (instance ?NUMBER ?LIFEEXPECTANCYAGE)
                                    (not
                                        (inList ?NUMBER ?LIST)))))
                        (equal ?COUNT
                            (CardinalityFn
                                (KappaFn ?LIFEEXPECTANCYAGE
                                    (and
                                        (instance ?BIRTH Birth)
                                        (experiencer ?BIRTH ?INDIVIDUAL)
                                        (instance ?INDIVIDUAL Human)
                                        (attribute ?INDIVIDUAL Female)
                                        (during
                                            (WhenFn ?BIRTH)
                                            (YearFn ?YEAR))
                                        (equal
                                            (WhereFn ?BIRTH
                                                (WhenFn ?BIRTH)) ?AREA)
                                        (instance ?DEATH Death)
                                        (experiencer ?DEATH ?INDIVIDUAL)
                                        (holdsDuring
                                            (WhenFn ?DEATH)
                                            (age ?INDIVIDUAL
                                                (MeasureFn ?LIFEEXPECTANCYAGE YearDuration))))))))))
            (average ?LIST ?REALNUMBER))))
People.kif 411-442
(<=>
    (equal
        (LifeExpectancyAtBirthFn ?AREA
            (YearFn ?YEAR)) ?REALNUMBER)
    (exists (?LIST)
        (and
            (instance ?LIST List)
            (instance
                (ListLengthFn ?LIST) ?COUNT)
            (forall (?LISTITEM)
                (=>
                    (inList ?LISTITEM ?LIST)
                    (and
                        (instance ?LISTITEM ?LIFEEXPECTANCYAGE)
                        (not
                            (exists (?NUMBER)
                                (and
                                    (instance ?NUMBER ?LIFEEXPECTANCYAGE)
                                    (not
                                        (inList ?NUMBER ?LIST)))))
                        (equal ?COUNT
                            (CardinalityFn
                                (KappaFn ?LIFEEXPECTANCYAGE
                                    (and
                                        (instance ?BIRTH Birth)
                                        (experiencer ?BIRTH ?INDIVIDUAL)
                                        (instance ?INDIVIDUAL Human)
                                        (during
                                            (WhenFn ?BIRTH)
                                            (YearFn ?YEAR))
                                        (equal
                                            (WhereFn ?BIRTH
                                                (WhenFn ?BIRTH)) ?AREA)
                                        (instance ?DEATH Death)
                                        (experiencer ?DEATH ?INDIVIDUAL)
                                        (holdsDuring
                                            (WhenFn ?DEATH)
                                            (age ?INDIVIDUAL
                                                (MeasureFn ?LIFEEXPECTANCYAGE YearDuration))))))))))
            (average ?LIST ?REALNUMBER))))
People.kif 323-353
(<=>
    (equal
        (MaleLifeExpectancyAtBirthFn ?AREA
            (YearFn ?YEAR)) ?REALNUMBER)
    (exists (?LIST)
        (and
            (instance ?LIST List)
            (instance
                (ListLengthFn ?LIST) ?COUNT)
            (forall (?LISTITEM)
                (=>
                    (inList ?LISTITEM ?LIST)
                    (and
                        (instance ?LISTITEM ?LIFEEXPECTANCYAGE)
                        (not
                            (exists (?NUMBER)
                                (and
                                    (instance ?NUMBER ?LIFEEXPECTANCYAGE)
                                    (not
                                        (inList ?NUMBER ?LIST)))))
                        (equal ?COUNT
                            (CardinalityFn
                                (KappaFn ?LIFEEXPECTANCYAGE
                                    (and
                                        (instance ?BIRTH Birth)
                                        (experiencer ?BIRTH ?INDIVIDUAL)
                                        (instance ?INDIVIDUAL Human)
                                        (attribute ?INDIVIDUAL Male)
                                        (during
                                            (WhenFn ?BIRTH)
                                            (YearFn ?YEAR))
                                        (equal
                                            (WhereFn ?BIRTH
                                                (WhenFn ?BIRTH)) ?AREA)
                                        (instance ?DEATH Death)
                                        (experiencer ?DEATH ?INDIVIDUAL)
                                        (holdsDuring
                                            (WhenFn ?DEATH)
                                            (age ?INDIVIDUAL
                                                (MeasureFn ?LIFEEXPECTANCYAGE YearDuration))))))))))
            (average ?LIST ?REALNUMBER))))
People.kif 367-398
(<=>
    (equal
        (MaleToFemaleRatioFn ?AREA) ?REALNUMBER)
    (and
        (equal ?MALECOUNT
            (CardinalityFn
                (KappaFn ?MALE
                    (and
                        (instance ?MALE Human)
                        (attribute ?MALE Male)
                        (inhabits ?MALE ?AREA)))))
        (equal ?FEMALECOUNT
            (CardinalityFn
                (KappaFn ?FEMALE
                    (and
                        (instance ?FEMALE Human)
                        (attribute ?FEMALE Female)
                        (inhabits ?FEMALE ?AREA)))))
        (equal
            (DivisionFn ?MALECOUNT ?FEMALECOUNT) ?REALNUMBER)))
People.kif 221-238
(<=>
    (equal
        (MigrantsPerThousandFn ?AREA
            (YearFn ?YEAR)) ?REALNUMBER)
    (and
        (equal
            (SubtractionFn ?YEAR ?PREVIOUSYEAR) 1)
        (holdsDuring
            (YearFn ?YEAR)
            (equal
                (PopulationFn ?AREA) ?POPULATION))
        (equal
            (DivisionFn ?POPULATION 1000) ?THOUSANDS)
        (equal ?IMMIGRATION
            (CardinalityFn
                (KappaFn ?PERSON
                    (and
                        (instance ?PERSON Human)
                        (holdsDuring
                            (YearFn ?PREVIOUSYEAR)
                            (not
                                (inhabits ?PERSON ?AREA)))
                        (holdsDuring
                            (YearFn ?YEAR)
                            (inhabits ?PERSON ?AREA))))))
        (equal ?EMMIGRATION
            (CardinalityFn
                (KappaFn ?PERSON
                    (and
                        (instance ?PERSON Human)
                        (holdsDuring
                            (YearFn ?PREVIOUSYEAR)
                            (inhabits ?PERSON ?AREA))
                        (holdsDuring
                            (YearFn ?YEAR)
                            (not
                                (inhabits ?PERSON ?AREA)))))))
        (equal
            (SubtractionFn ?IMMIGRATION ?EMMIGRATION) ?MIGRATIONCOUNT)
        (equal
            (DivisionFn ?MIGRATIONCOUNT ?THOUSANDS) ?REALNUMBER)))
People.kif 174-202
(<=>
    (lengthOfBroadGaugeRailway ?AREA ?LENGTH)
    (length
        (KappaFn ?RAILWAYS
            (and
                (instance ?RAILWAYS BroadGaugeRailway)
                (located ?RAILWAYS ?AREA))) ?LENGTH))
Transportation.kif 182-189
(<=>
    (lengthOfCrudeOilPipeline ?AREA ?LENGTH)
    (length
        (KappaFn ?PIPELINE
            (and
                (instance ?PIPELINE CrudeOilPipeline)
                (located ?PIPELINE ?AREA))) ?LENGTH))
Transportation.kif 712-719
(<=>
    (lengthOfDualGaugeRailway ?AREA ?LENGTH)
    (length
        (KappaFn ?RAILWAYS
            (and
                (instance ?RAILWAYS DualGaugeRailway)
                (located ?RAILWAYS ?AREA))) ?LENGTH))
Transportation.kif 210-217
(<=>
    (lengthOfElectrifiedRailway ?AREA ?LENGTH)
    (length
        (KappaFn ?RAILWAYS
            (and
                (instance ?RAILWAYS ElectrifiedRailway)
                (located ?RAILWAYS ?AREA))) ?LENGTH))
Transportation.kif 126-133
(<=>
    (lengthOfExpresswaySystem ?AREA ?LENGTH)
    (length
        (KappaFn ?HIGHWAYS
            (and
                (instance ?HIGHWAYS Expressway)
                (located ?HIGHWAYS ?AREA))) ?LENGTH))
Transportation.kif 568-575
(<=>
    (lengthOfMultipleTrackRailway ?AREA ?LENGTH)
    (length
        (KappaFn ?RAILWAYS
            (and
                (instance ?RAILWAYS MultipleTrackRailway)
                (located ?RAILWAYS ?AREA))) ?LENGTH))
Transportation.kif 154-161
(<=>
    (lengthOfNarrowGaugeRailway ?AREA ?LENGTH)
    (length
        (KappaFn ?RAILWAYS
            (and
                (instance ?RAILWAYS NarrowGaugeRailway)
                (located ?RAILWAYS ?AREA))) ?LENGTH))
Transportation.kif 237-244
(<=>
    (lengthOfNaturalGasPipeline ?AREA ?LENGTH)
    (length
        (KappaFn ?PIPELINE
            (and
                (instance ?PIPELINE NaturalGasPipeline)
                (located ?PIPELINE ?AREA))) ?LENGTH))
Transportation.kif 735-742
(<=>
    (lengthOfPavedHighway ?AREA ?LENGTH)
    (length
        (KappaFn ?HIGHWAYS
            (and
                (instance ?HIGHWAYS SurfacedRoadway)
                (located ?HIGHWAYS ?AREA))) ?LENGTH))
Transportation.kif 542-549
(<=>
    (lengthOfPetroleumProductPipeline ?AREA ?LENGTH)
    (length
        (KappaFn ?PIPELINE
            (and
                (instance ?PIPELINE PetroleumProductPipeline)
                (located ?PIPELINE ?AREA))) ?LENGTH))
Transportation.kif 758-765
(<=>
    (lengthOfStandardGaugeRailway ?AREA ?LENGTH)
    (length
        (KappaFn ?RAILWAYS
            (and
                (instance ?RAILWAYS StandardGaugeRailway)
                (located ?RAILWAYS ?AREA))) ?LENGTH))
Transportation.kif 265-272
(<=>
    (lengthOfUnclassifiedGaugeRailway ?AREA ?LENGTH)
    (length
        (KappaFn ?RAILWAYS
            (and
                (located ?RAILWAYS ?AREA)
                (not
                    (instance ?RAILWAYS
                        (UnionFn StandardGaugeRailway
                            (UnionFn BroadGaugeRailway
                                (UnionFn DualGaugeRailway NarrowGaugeRailway))))))) ?LENGTH))
Transportation.kif 294-306
(<=>
    (lengthOfUnpavedHighway ?AREA ?LENGTH)
    (length
        (KappaFn ?HIGHWAYS
            (and
                (instance ?HIGHWAYS UnsurfacedRoadway)
                (located ?HIGHWAYS ?AREA))) ?LENGTH))
Transportation.kif 601-608
(<=>
    (totalFacilityTypeInArea ?AREA
        (ExtensionFn AirportWithPavedRunway) ?COUNT)
    (cardinality
        (KappaFn ?AIRPORT
            (exists (?RUNWAY)
                (and
                    (instance ?AIRPORT Airport)
                    (instance ?RUNWAY PavedRunway)
                    (part ?RUNWAY ?AIRPORT)
                    (located ?AIRPORT ?AREA)))) ?COUNT))
Transportation.kif 1277-1287
(<=>
    (totalFacilityTypeInArea ?AREA ?TYPE ?COUNT)
    (cardinality
        (KappaFn ?ITEM
            (and
                (instance ?ITEM ?TYPE)
                (located ?ITEM ?AREA))) ?COUNT))
Transportation.kif 1221-1228
(<=>
    (totalLengthOfHighwaySystem ?AREA ?LENGTH)
    (length
        (KappaFn ?HIGHWAYS
            (and
                (instance ?HIGHWAYS Roadway)
                (located ?HIGHWAYS ?AREA))) ?LENGTH))
Transportation.kif 484-491
(<=>
    (totalLengthOfRailwaySystem ?AREA ?LENGTH)
    (length
        (KappaFn ?RAILWAYS
            (and
                (instance ?RAILWAYS Railway)
                (located ?RAILWAYS ?AREA))) ?LENGTH))
Transportation.kif 98-105

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statement
-------------------------


(equal
    (AvailableForMilitaryServiceMaleFn ?AREA)
    (CardinalityFn
        (KappaFn ?PERSON
            (and
                (instance ?PERSON Human)
                (attribute ?PERSON Male)
                (militaryAge ?AREA ?MILITARYAGE)
                (age ?PERSON ?AGE)
                (greaterThanOrEqualTo ?AGE ?MILITARYAGE)
                (inhabits ?PERSON ?AREA)))))
Military.kif 867-876
(equal
    (ChildrenBornPerWomanFn ?AREA
        (YearFn ?YEAR))
    (CardinalityFn
        (KappaFn ?INFANT
            (and
                (instance ?BIRTH Birth)
                (experiencer ?BIRTH ?INFANT)
                (agent ?BIRTH ?WOMAN)
                (instance ?WOMAN Human)
                (attribute ?WOMAN Female)
                (holdsDuring
                    (YearFn ?YEAR)
                    (inhabits ?WOMAN ?AREA))))))
People.kif 462-472
(equal
    (FitForMilitaryServiceMaleFn ?AREA)
    (CardinalityFn
        (KappaFn ?PERSON
            (and
                (instance ?PERSON Human)
                (attribute ?PERSON Male)
                (instance ?PROCESS MilitaryProcess)
                (fitForMilitaryService ?PERSON ?PROCESS)
                (militaryAge ?AREA ?MILITARYAGE)
                (age ?PERSON ?AGE)
                (greaterThanOrEqualTo ?AGE ?MILITARYAGE)
                (inhabits ?PERSON ?AREA)))))
Military.kif 890-901
(equal
    (PopulationFn ?AREA)
    (CardinalityFn
        (KappaFn ?PERSON
            (and
                (instance ?PERSON Human)
                (inhabits ?PERSON ?AREA)))))
People.kif 49-54
(equal
    (ReachingMilitaryAgeAnnuallyMaleFn ?AREA ?YEAR)
    (CardinalityFn
        (KappaFn ?PERSON
            (and
                (instance ?PERSON Human)
                (attribute ?PERSON Male)
                (militaryAge ?AREA ?MILITARYAGE)
                (equal ?AGEMINUSONE
                    (SubtractionFn ?AGE 1))
                (holdsDuring ?YEAR
                    (or
                        (age ?PERSON ?AGEMINUSONE)
                        (age ?PERSON ?AGE)))
                (equal ?AGE ?MILITARYAGE)
                (inhabits ?PERSON ?AREA)))))
Military.kif 928-941


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