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KB Term:  Term intersection
English Word: 

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 5271-5275
(domain average 1 List) Merge.kif 5268-5268
(domain average 2 RealNumber) Merge.kif 5269-5269
(instance average BinaryPredicate) Merge.kif 5266-5266
(instance average PartialValuedRelation) Merge.kif 5265-5265
(instance average SingleValuedRelation) Merge.kif 5267-5267

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 1847-1847

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 298-319
(=>
    (average ?LIST ?AVERAGE)
    (forall (?LISTITEM)
        (=>
            (inList ?LISTITEM ?LIST)
            (instance ?LISTITEM RealNumber))))
Merge.kif 5277-5282

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


(<=>
    (and
        (instance ?Y
            (YearFn ?YEAR))
        (equal
            (MaleLifeExpectancyAtBirthFn ?AREA ?Y) ?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) ?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)
        (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)
        (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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