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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 The number 1 argument of kappa is an instance of symbolic string
(domain KappaFn 2 Formula) Merge.kif 5583-5583 The number 2 argument of kappa is an instance of formula
(instance KappaFn BinaryFunction) Merge.kif 5580-5580 Kappa is an instance of binary function
(instance KappaFn PartialValuedRelation) Merge.kif 5581-5581 Kappa is an instance of partial valued relation
(range KappaFn Class) Merge.kif 5584-5584 The range of kappa is an instance of class

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 An entity is an instance of personal account and the number of instances in the class described by a symbolic string is greater than 1 if and only if the entity is an instance of joint account
(=>
    (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 A year is an instance of the year the yearEAR and the male life expectancy at birth of a geopolitical area and the year is equal to a real number if and only if there exist a list, another integer,, , a symbolic string,, , an entity,, , another entity and a third entity such that the list is an instance of list and length of the list is an instance of the other integer and for all the listITEM and the real number is an average of the list
(<=>
    (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 A year is an instance of the year an integer and the births per thousand of a geopolitical area and the year is equal to a real number if and only if the population of the geopolitical area and 1000 is equal to another real number and another integer is equal to the number of instances in the class described by a symbolic string and the other integer and the other real number is equal to the real number
(<=>
    (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 A year is an instance of the year an integer and the deaths per thousand of a geopolitical area and the year is equal to a real number if and only if the population of the geopolitical area and 1000 is equal to another real number and another integer is equal to the number of instances in the class described by a symbolic string and the other integer and the other real number is equal to the real number
(<=>
    (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 A year is an instance of the year an integer and the deaths per thousand live births of a geopolitical area and the year is equal to a real number if and only if another integer is equal to the number of instances in the class described by a symbolic string and the other integer and 1000 is equal to another real number and a third integer is equal to the number of instances in the class described by another symbolic string and the third integer and the other real number is equal to the real number
(<=>
    (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 A year is an instance of the year an integer and the female life expectancy at birth of a geopolitical area and the year is equal to a real number if and only if there exist a list, another integer,, , a symbolic string,, , an entity,, , another entity and a third entity such that the list is an instance of list and length of the list is an instance of the other integer and for all the listITEM and the real number is an average of the list
(<=>
    (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 A year is an instance of the year an integer and the life expectancy at birth of a geopolitical area and the year is equal to a real number if and only if there exist a list, another integer,, , a symbolic string,, , an entity,, , another entity and a third entity such that the list is an instance of list and length of the list is an instance of the other integer and for all the listITEM and the real number is an average of the list
(<=>
    (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 A year is an instance of the year an integer and the migrants per thousand of a geopolitical area and the year is equal to a real number if and only if (the integer and another integer) is equal to 1 and an entity is an instance of the year the other integer and the population of the geopolitical area is equal to another real number holds during the year and the other real number and 1000 is equal to a third real number and a third integer is equal to the number of instances in the class described by a symbolic string and a fourth integer is equal to the number of instances in the class described by the symbolic string and (the third integer and the fourth integer) is equal to a fourth real number and the fourth real number and the third real number is equal to the real number
(<=>
    (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 The male to female ratio of a geopolitical area is equal to a real number if and only if an integer is equal to the number of instances in the class described by a symbolic string and another integer is equal to the number of instances in the class described by another symbolic string and the integer and the other integer is equal to the real number
(<=>
    (lengthOfBroadGaugeRailway ?AREA ?LENGTH)
    (length
        (KappaFn ?RAILWAYS
            (and
                (instance ?RAILWAYS BroadGaugeRailway)
                (located ?RAILWAYS ?AREA))) ?LENGTH))
Transportation.kif 182-189 A length measure is a length of broad gauge railway of a geographic area if and only if the length of the class described by a symbolic string is the length measure
(<=>
    (lengthOfCrudeOilPipeline ?AREA ?LENGTH)
    (length
        (KappaFn ?PIPELINE
            (and
                (instance ?PIPELINE CrudeOilPipeline)
                (located ?PIPELINE ?AREA))) ?LENGTH))
Transportation.kif 712-719 A length measure is a length of crude oil pipeline of a geographic area if and only if the length of the class described by a symbolic string is the length measure
(<=>
    (lengthOfDualGaugeRailway ?AREA ?LENGTH)
    (length
        (KappaFn ?RAILWAYS
            (and
                (instance ?RAILWAYS DualGaugeRailway)
                (located ?RAILWAYS ?AREA))) ?LENGTH))
Transportation.kif 210-217 A length measure is a length of dual gauge railway of a geographic area if and only if the length of the class described by a symbolic string is the length measure
(<=>
    (lengthOfElectrifiedRailway ?AREA ?LENGTH)
    (length
        (KappaFn ?RAILWAYS
            (and
                (instance ?RAILWAYS ElectrifiedRailway)
                (located ?RAILWAYS ?AREA))) ?LENGTH))
Transportation.kif 126-133 A length measure is a length of electrified railway of a geographic area if and only if the length of the class described by a symbolic string is the length measure
(<=>
    (lengthOfExpresswaySystem ?AREA ?LENGTH)
    (length
        (KappaFn ?HIGHWAYS
            (and
                (instance ?HIGHWAYS Expressway)
                (located ?HIGHWAYS ?AREA))) ?LENGTH))
Transportation.kif 568-575 A length measure is a length of expressway system of a geographic area if and only if the length of the class described by a symbolic string is the length measure
(<=>
    (lengthOfMultipleTrackRailway ?AREA ?LENGTH)
    (length
        (KappaFn ?RAILWAYS
            (and
                (instance ?RAILWAYS MultipleTrackRailway)
                (located ?RAILWAYS ?AREA))) ?LENGTH))
Transportation.kif 154-161 A length measure is a length of multiple track railway of a geographic area if and only if the length of the class described by a symbolic string is the length measure
(<=>
    (lengthOfNarrowGaugeRailway ?AREA ?LENGTH)
    (length
        (KappaFn ?RAILWAYS
            (and
                (instance ?RAILWAYS NarrowGaugeRailway)
                (located ?RAILWAYS ?AREA))) ?LENGTH))
Transportation.kif 237-244 A length measure is a length of narrow gauge railway of a geographic area if and only if the length of the class described by a symbolic string is the length measure
(<=>
    (lengthOfNaturalGasPipeline ?AREA ?LENGTH)
    (length
        (KappaFn ?PIPELINE
            (and
                (instance ?PIPELINE NaturalGasPipeline)
                (located ?PIPELINE ?AREA))) ?LENGTH))
Transportation.kif 735-742 A length measure is a length of natural gas pipeline of a geographic area if and only if the length of the class described by a symbolic string is the length measure
(<=>
    (lengthOfPavedHighway ?AREA ?LENGTH)
    (length
        (KappaFn ?HIGHWAYS
            (and
                (instance ?HIGHWAYS SurfacedRoadway)
                (located ?HIGHWAYS ?AREA))) ?LENGTH))
Transportation.kif 542-549 A length measure is a length of paved highway of a geographic area if and only if the length of the class described by a symbolic string is the length measure
(<=>
    (lengthOfPetroleumProductPipeline ?AREA ?LENGTH)
    (length
        (KappaFn ?PIPELINE
            (and
                (instance ?PIPELINE PetroleumProductPipeline)
                (located ?PIPELINE ?AREA))) ?LENGTH))
Transportation.kif 758-765 A length measure is a length of petroleum product pipeline of a geographic area if and only if the length of the class described by a symbolic string is the length measure
(<=>
    (lengthOfStandardGaugeRailway ?AREA ?LENGTH)
    (length
        (KappaFn ?RAILWAYS
            (and
                (instance ?RAILWAYS StandardGaugeRailway)
                (located ?RAILWAYS ?AREA))) ?LENGTH))
Transportation.kif 265-272 A length measure is a length of standard gauge railway of a geographic area if and only if the length of the class described by a symbolic string is the length measure
(<=>
    (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 A length measure is a length of unclassified gauge railway of a geographic area if and only if the length of the class described by a symbolic string is the length measure
(<=>
    (lengthOfUnpavedHighway ?AREA ?LENGTH)
    (length
        (KappaFn ?HIGHWAYS
            (and
                (instance ?HIGHWAYS UnsurfacedRoadway)
                (located ?HIGHWAYS ?AREA))) ?LENGTH))
Transportation.kif 601-608 A length measure is a length of unpaved highway of a geographic area if and only if the length of the class described by a symbolic string is the length measure
(<=>
    (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 A geographic area is total facility type in area the class corresponding to airport with paved runway for a nonnegative integer if and only if there exist a symbolic string and an entity such that the nonnegative integer is a cardinality of the class described by the symbolic string
(<=>
    (totalFacilityTypeInArea ?AREA ?TYPE ?COUNT)
    (cardinality
        (KappaFn ?ITEM
            (and
                (instance ?ITEM ?TYPE)
                (located ?ITEM ?AREA))) ?COUNT))
Transportation.kif 1221-1228 A geographic area is total facility type in area a class for a nonnegative integer if and only if the nonnegative integer is a cardinality of the class described by a symbolic string
(<=>
    (totalLengthOfHighwaySystem ?AREA ?LENGTH)
    (length
        (KappaFn ?HIGHWAYS
            (and
                (instance ?HIGHWAYS Roadway)
                (located ?HIGHWAYS ?AREA))) ?LENGTH))
Transportation.kif 484-491 A length measure is a total length of highway system of a geographic area if and only if the length of the class described by a symbolic string is the length measure
(<=>
    (totalLengthOfRailwaySystem ?AREA ?LENGTH)
    (length
        (KappaFn ?RAILWAYS
            (and
                (instance ?RAILWAYS Railway)
                (located ?RAILWAYS ?AREA))) ?LENGTH))
Transportation.kif 98-105 A length measure is a total length of railway system of a geographic area if and only if the length of the class described by a symbolic string is the length measure

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statement
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(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 A year is an instance of the year an integer and the children born per woman of a geopolitical area and the year is equal to the number of instances in the class described by a symbolic string
(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 The available for military service male of a geopolitical area is equal to the number of instances in the class described by a symbolic string
(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 The fit for military service male of a geopolitical area is equal to the number of instances in the class described by a symbolic string
(equal
    (OrganismPopulationFn ?O ?AREA)
    (CardinalityFn
        (KappaFn ?OI
            (and
                (instance ?OI ?O)
                (located ?OI ?AREA)))))
Mid-level-ontology.kif 31734-31739 Individuals of type an organism in a geographic area. is equal to the number of instances in the class described by the organismI
(equal
    (PopulationFn ?AREA)
    (CardinalityFn
        (KappaFn ?PERSON
            (and
                (instance ?PERSON Human)
                (inhabits ?PERSON ?AREA)))))
Mid-level-ontology.kif 31712-31717 The population of a geopolitical area is equal to the number of instances in the class described by a symbolic string
(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 The reaching military age annually male of a geopolitical area and a year is equal to the number of instances in the class described by a symbolic string


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