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KB Term:  Term intersection
English Word: 

  average

 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 5163-5167
(domain average 1 List) Merge.kif 5160-5160
(domain average 2 RealNumber) Merge.kif 5161-5161
(instance average BinaryPredicate) Merge.kif 5158-5158
(instance average PartialValuedRelation) Merge.kif 5157-5157
(instance average SingleValuedRelation) Merge.kif 5159-5159

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 9351-9351
(termFormat ChineseTraditionalLanguage average "平均") domainEnglishFormat.kif 9350-9350
(termFormat EnglishLanguage average "average") english_format.kif 1850-1850

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 ?AVERAGE)
    (forall (?LISTITEM)
        (=>
            (inList ?LISTITEM ?LIST)
            (instance ?LISTITEM RealNumber))))		 Merge.kif 5169-5174

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
        (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


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