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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 5330-5334
(domain average 1 List)	Merge.kif 5327-5327
(domain average 2 RealNumber)	Merge.kif 5328-5328
(instance average BinaryPredicate)	Merge.kif 5325-5325
(instance average PartialValuedRelation)	Merge.kif 5324-5324
(instance average SingleValuedRelation)	Merge.kif 5326-5326

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 9346-9346
(termFormat ChineseTraditionalLanguage average "平均")	domainEnglishFormat.kif 9345-9345
(termFormat EnglishLanguage average "average")	english_format.kif 1847-1847

antecedent

(<=> (average ?LIST1 ?AVERAGE) (exists (?LIST2 ?LASTPLACE) (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 298-319
(=> (average ?LIST ?AVERAGE) (forall (?LISTITEM) (=> (inList ?LISTITEM ?LIST) (instance ?LISTITEM RealNumber))))	Merge.kif 5336-5341

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 383-416
(<=> (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 429-462
(<=> (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 336-368

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