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KB Term:  Term intersection
English Word: 

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 5586-5594
(documentation KappaFn JapaneseLanguage "変数と変数の少なくとも 1 つの非連結オカレンスを含む 数式の2つの引数を受け取るクラス形成演算子。変数と数式に KappaFn を適用した結果は、数式を満たす ものの SetOrClass である。例えば、次の式 (KappaFn ?NUMBER (and (instance ?NUMBER PrimeNumber) (lessThan ?NUMBER 100))) で、100 未満の素数の SetOrClass を示すことができる。注:現在、この 関数の割り当てはサポートされていないため、この関数の使用は勧められない。") japanese_format.kif 991-995
(domain KappaFn 1 SymbolicString) Merge.kif 5582-5582
(domain KappaFn 2 Formula) Merge.kif 5583-5583
(instance KappaFn BinaryFunction) Merge.kif 5580-5580
(instance KappaFn PartialValuedRelation) Merge.kif 5581-5581
(range KappaFn Class) Merge.kif 5584-5584

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 513-513
(format FrenchLanguage KappaFn "la classe d�crite par %1") french_format.kif 297-297
(format ItalianLanguage KappaFn "la classe descritta da %1") relations-it.txt 157-157
(format JapaneseLanguage KappaFn "%1で記述される class") japanese_format.kif 2074-2074
(format PortugueseLanguage KappaFn "a classe descrita por %1") portuguese_format.kif 249-249
(format de KappaFn "die kategorie die %1 beschreibt") relations-de.txt 662-662
(format hi KappaFn "%1 ke dvaaraa varNita varga") relations-hindi.txt 196-196
(format ro KappaFn "class%t{clasa} descrisã de %1") relations-ro.kif 318-318
(format sv KappaFn "klassen som beskrivs av %1") relations-sv.txt 325-325
(format tg KappaFn "ang klase ilarawan ng %1") relations-tg.txt 315-315
(termFormat ChineseLanguage KappaFn "卡帕") domainEnglishFormat.kif 32125-32125
(termFormat ChineseLanguage KappaFn "组成类别函数") chinese_format.kif 509-509
(termFormat ChineseTraditionalLanguage KappaFn "卡帕") domainEnglishFormat.kif 32124-32124
(termFormat EnglishLanguage KappaFn "kappa") domainEnglishFormat.kif 32123-32123

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


(<=>
    (and
        (instance ?Account PersonalAccount)
        (greaterThan
            (CardinalityFn
                (KappaFn ?Agent
                    (accountHolder ?Account ?Agent))) 1))
    (instance ?Account JointAccount))
FinancialOntology.kif 1007-1011
(=>
    (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 ?BUYING ?ITEM))))))))
    (equal
        (ABPFn ?BUYINGS)
        (DivisionFn ?GMB ?TOTAL)))
UXExperimentalTerms.kif 3239-3259
(=>
    (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 3282-3302

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


(<=>
    (and
        (instance ?Y
            (YearFn ?YEAR))
        (equal
            (MaleLifeExpectancyAtBirthFn ?AREA ?Y) ?REALNUMBER))
    (exists (?LIST ?COUNT ?LIFEEXPECTANCYAGE ?BIRTH ?INDIVIDUAL ?DEATH)
        (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) ?Y)
                                        (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 357-390
(<=>
    (and
        (instance ?YEAR
            (YearFn ?Y))
        (equal
            (BirthsPerThousandFn ?AREA ?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) ?YEAR)
                        (equal
                            (WhereFn ?BIRTH
                                (WhenFn ?BIRTH)) ?AREA)))))
        (equal
            (DivisionFn ?BIRTHCOUNT ?THOUSANDS) ?REALNUMBER)))
People.kif 82-97
(<=>
    (and
        (instance ?YEAR
            (YearFn ?Y))
        (equal
            (DeathsPerThousandFn ?AREA ?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) ?YEAR)
                        (equal
                            (WhereFn ?DEATH
                                (WhenFn ?DEATH)) ?AREA)))))
        (equal
            (DivisionFn ?DEATHCOUNT ?THOUSANDS) ?REALNUMBER)))
People.kif 118-133
(<=>
    (and
        (instance ?YEAR
            (YearFn ?Y))
        (equal
            (DeathsPerThousandLiveBirthsFn ?AREA ?YEAR) ?REALNUMBER))
    (and
        (equal ?BIRTHCOUNT
            (CardinalityFn
                (KappaFn ?BIRTH
                    (and
                        (instance ?BIRTH Birth)
                        (experiencer ?BIRTH ?INFANT)
                        (instance ?INFANT Human)
                        (during
                            (WhenFn ?BIRTH) ?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) ?YEAR)
                        (equal
                            (WhereFn ?DEATH
                                (WhenFn ?DEATH)) ?AREA)))))
        (equal
            (DivisionFn ?INFANTDEATHCOUNT ?THOUSANDSOFBIRTHS) ?REALNUMBER)))
People.kif 238-264
(<=>
    (and
        (instance ?YEAR
            (YearFn ?Y))
        (equal
            (FemaleLifeExpectancyAtBirthFn ?AREA ?YEAR) ?REALNUMBER))
    (exists (?LIST ?COUNT ?LIFEEXPECTANCYAGE ?BIRTH ?INDIVIDUAL ?DEATH)
        (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) ?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 403-436
(<=>
    (and
        (instance ?YEAR
            (YearFn ?Y))
        (equal
            (LifeExpectancyAtBirthFn ?AREA ?YEAR) ?REALNUMBER))
    (exists (?LIST ?COUNT ?LIFEEXPECTANCYAGE ?BIRTH ?INDIVIDUAL ?DEATH)
        (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) ?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 310-342
(<=>
    (and
        (instance ?YEAR
            (YearFn ?Y))
        (equal
            (MigrantsPerThousandFn ?AREA ?YEAR) ?REALNUMBER))
    (and
        (equal
            (SubtractionFn ?Y ?PY) 1)
        (instance ?PREVIOUSYEAR
            (YearFn ?PY))
        (holdsDuring ?YEAR
            (equal
                (PopulationFn ?AREA) ?POPULATION))
        (equal
            (DivisionFn ?POPULATION 1000) ?THOUSANDS)
        (equal ?IMMIGRATION
            (CardinalityFn
                (KappaFn ?PERSON
                    (and
                        (instance ?PERSON Human)
                        (holdsDuring ?PREVIOUSYEAR
                            (not
                                (inhabits ?PERSON ?AREA)))
                        (holdsDuring ?YEAR
                            (inhabits ?PERSON ?AREA))))))
        (equal ?EMMIGRATION
            (CardinalityFn
                (KappaFn ?PERSON
                    (and
                        (instance ?PERSON Human)
                        (holdsDuring ?PREVIOUSYEAR
                            (inhabits ?PERSON ?AREA))
                        (holdsDuring ?YEAR
                            (not
                                (inhabits ?PERSON ?AREA)))))))
        (equal
            (SubtractionFn ?IMMIGRATION ?EMMIGRATION) ?MIGRATIONCOUNT)
        (equal
            (DivisionFn ?MIGRATIONCOUNT ?THOUSANDS) ?REALNUMBER)))
People.kif 156-187
(<=>
    (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 206-223
(<=>
    (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)
    (exists (?AIRPORT ?RUNWAY)
        (cardinality
            (KappaFn ?AIRPORT
                (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
-------------------------


(and
    (instance ?YEAR
        (YearFn ?Y))
    (equal
        (ChildrenBornPerWomanFn ?AREA ?YEAR)
        (CardinalityFn
            (KappaFn ?INFANT
                (and
                    (instance ?BIRTH Birth)
                    (experiencer ?BIRTH ?INFANT)
                    (agent ?BIRTH ?WOMAN)
                    (instance ?WOMAN Human)
                    (attribute ?WOMAN Female)
                    (holdsDuring ?YEAR
                        (inhabits ?WOMAN ?AREA)))))))
People.kif 456-469
(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 872-881
(equal
    (FitForMilitaryServiceMaleFn ?AREA)
    (CardinalityFn
        (KappaFn ?PERSON
            (and
                (instance ?PERSON Human)
                (attribute ?PERSON Male)
                (subclass ?PROCESS MilitaryProcess)
                (fitForMilitaryService ?PERSON ?PROCESS)
                (militaryAge ?AREA ?MILITARYAGE)
                (age ?PERSON ?AGE)
                (greaterThanOrEqualTo ?AGE ?MILITARYAGE)
                (inhabits ?PERSON ?AREA)))))
Military.kif 895-906
(equal
    (OrganismPopulationFn ?O ?AREA)
    (CardinalityFn
        (KappaFn ?OI
            (and
                (instance ?OI ?O)
                (located ?OI ?AREA)))))
Mid-level-ontology.kif 31734-31739
(equal
    (PopulationFn ?AREA)
    (CardinalityFn
        (KappaFn ?PERSON
            (and
                (instance ?PERSON Human)
                (inhabits ?PERSON ?AREA)))))
Mid-level-ontology.kif 31712-31717
(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 933-946


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