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Sigma KEE - average

average

appearance as argument number 1

(documentation average ChineseLanguage "这是一个部分函数，只要一个 List 的元素都是 RealNumber，它会把这个List 和一个 RealNumber 联系起来。和这个 List 联系的 RealNumber 等于这个 List 内的 RealNumber 的数学平均除以列表元素的总数。")	chinese_format.kif 2284-2286
(documentation average EnglishLanguage "A partial function that relates a List to a RealNumber, provided that the List only has list elements that are RealNumbers. The RealNumber associated with the List is equal to the mathematical average of the RealNumbers in the List divided by the total number of list elements.")	Merge.kif 5038-5042
(domain average 1 List)	Merge.kif 5035-5035	domain average, 1 and List
(domain average 2 RealNumber)	Merge.kif 5036-5036	domain average, 2 and RealNumber
(instance average BinaryPredicate)	Merge.kif 5033-5033	instance average and BinaryPredicate
(instance average PartialValuedRelation)	Merge.kif 5032-5032	instance average and PartialValuedRelation
(instance average SingleValuedRelation)	Merge.kif 5034-5034	instance average and SingleValuedRelation

appearance as argument number 2

(format ChineseLanguage average "%2 %n 是 %1 的 average")	domainEnglishFormat.kif 228-228
(format ChineseTraditionalLanguage average "%2 %n 是 %1 的 average")	domainEnglishFormat.kif 227-227
(format EnglishLanguage average "%2 is %n an average of %1")	domainEnglishFormat.kif 226-226
(termFormat ChineseLanguage average "平均")	domainEnglishFormat.kif 9355-9355
(termFormat ChineseTraditionalLanguage average "平均")	domainEnglishFormat.kif 9354-9354
(termFormat EnglishLanguage average "average")	english_format.kif 1854-1854

antecedent

(<=> (average ?LIST1 ?AVERAGE) (exists (?LIST2) (and (equal (ListLengthFn ?LIST2) (ListLengthFn ?LIST1)) (equal (ListOrderFn ?LIST2 1) (ListOrderFn ?LIST1 1)) (forall (?ITEMFROM2) (=> (inList ?ITEMFROM2 ?LIST2) (exists (?POSITION ?POSITIONMINUSONE ?ITEMFROM1 ?PRIORFROM2) (and (greaterThan ?POSITION 1) (lessThanOrEqualTo ?POSITION (ListLengthFn ?LIST2)) (equal (ListOrderFn ?LIST2 ?ITEMFROM2) ?POSITION) (inList ?ITEMFROM1 ?LIST1) (equal ?POSITION (ListOrderFn ?LIST1 ?ITEMFROM1)) (inList ?PRIORFROM2 ?LIST2) (equal ?POSITIONMINUSONE (SubtractionFn ?POSITION 1)) (equal ?POSITIONMINUSONE (ListOrderFn ?LIST2 ?PRIORFROM2)) (equal ?ITEMFROM2 (AdditionFn ?ITEMFROM1 ?PRIORFROM2)))))) (equal ?LASTPLACE (ListLengthFn ?LIST2)) (equal ?AVERAGE (DivisionFn (ListOrderFn ?LIST2 ?LASTPLACE) ?LASTPLACE)))))	People.kif 285-306	average List and RealNumber List equal ListLengthFn List and ListLengthFn List equal ListOrderFn List and 1 and ListOrderFn List and 1 PositiveInteger inList PositiveInteger and List Quantity QuantityMINUSONE, PositiveInteger and PositiveInteger greaterThan Quantity and 1 lessThanOrEqualTo Quantity and ListLengthFn List equal ListOrderFn List and PositiveInteger and Quantity inList PositiveInteger and List equal Quantity and ListOrderFn List and PositiveInteger inList PositiveInteger and List equal QuantityMINUSONE and SubtractionFn Quantity and 1 equal QuantityMINUSONE and ListOrderFn List and PositiveInteger equal PositiveInteger and AdditionFn PositiveInteger and PositiveInteger equal PositiveInteger and ListLengthFn List equal RealNumber and DivisionFn ListOrderFn List and PositiveInteger and PositiveInteger
(=> (average ?LIST ?AVERAGE) (forall (?LISTITEM) (=> (inList ?LISTITEM ?LIST) (instance ?LISTITEM RealNumber))))	Merge.kif 5044-5049	average List and RealNumber ListITEM inList ListITEM and List instance ListITEM and RealNumber

consequent

(<=> (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 FemaleLifeExpectancyAtBirthFn GeopoliticalArea and YearFn Integer and RealNumber List instance List and List instance ListLengthFn List and Integer ListITEM inList ListITEM and List instance ListITEM and SymbolicString Entity instance Entity and SymbolicString inList Entity and List equal Integer and CardinalityFn KappaFn SymbolicString and instance entity and Birth experiencer entity and entity instance entity and Human attribute entity and Female during WhenFn entity and YearFn Integer equal WhereFn entity and WhenFn entity and GeopoliticalArea instance entity and Death experiencer entity and entity holdsDuring WhenFn entity and age entity and MeasureFn SymbolicString and YearDuration average List and RealNumber
(<=> (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 LifeExpectancyAtBirthFn GeopoliticalArea and YearFn Integer and RealNumber List instance List and List instance ListLengthFn List and Integer ListITEM inList ListITEM and List instance ListITEM and SymbolicString Entity instance Entity and SymbolicString inList Entity and List equal Integer and CardinalityFn KappaFn SymbolicString and instance entity and Birth experiencer entity and entity instance entity and Human during WhenFn entity and YearFn Integer equal WhereFn entity and WhenFn entity and GeopoliticalArea instance entity and Death experiencer entity and entity holdsDuring WhenFn entity and age entity and MeasureFn SymbolicString and YearDuration average List and RealNumber
(<=> (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 MaleLifeExpectancyAtBirthFn GeopoliticalArea and YearFn Integer and RealNumber List instance List and List instance ListLengthFn List and Integer ListITEM inList ListITEM and List instance ListITEM and SymbolicString Entity instance Entity and SymbolicString inList Entity and List equal Integer and CardinalityFn KappaFn SymbolicString and instance entity and Birth experiencer entity and entity instance entity and Human attribute entity and Male during WhenFn entity and YearFn Integer equal WhereFn entity and WhenFn entity and GeopoliticalArea instance entity and Death experiencer entity and entity holdsDuring WhenFn entity and age entity and MeasureFn SymbolicString and YearDuration average List and RealNumber

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