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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 5364-5368
(documentation average JapaneseLanguage "List を RealNumber に関連付ける部分関数で、 Listに RealNumber であるリスト要素のみが含まれる。List に関連付けられた RealNumber は、 List の RealNumber の数学的平均をリスト要素の総数で割った値に等しい。")	japanese_format.kif 952-954
(domain average 1 List)	Merge.kif 5361-5361	The number 1 argument of average is an instance of list
(domain average 2 RealNumber)	Merge.kif 5362-5362	The number 2 argument of average is an instance of real number
(instance average BinaryPredicate)	Merge.kif 5359-5359	average is an instance of binary predicate
(instance average PartialValuedRelation)	Merge.kif 5358-5358	average is an instance of partial valued relation
(instance average SingleValuedRelation)	Merge.kif 5360-5360	average is an instance of single valued relation

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 9345-9345
(termFormat ChineseTraditionalLanguage average "平均")	domainEnglishFormat.kif 9344-9344
(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 272-293	A real number is an average of a list if and only if there exist another list and a positive integer such that length of the other list is equal to length of the list and 1th element of the other list is equal to 1th element of the list and for all another positive integer if the other positive integer is a member of the other list, then there exist another real number, the other real numberMINUSONE,, , a third positive integer and a fourth positive integer such that the other real number is greater than 1 and the other real number is less than or equal to length of the other list and the other positive integerth element of the other list is equal to the other real number and the third positive integer is a member of the list and the other real number is equal to the third positive integerth element of the list and the fourth positive integer is a member of the other list and the other real numberMINUSONE is equal to (the other real number and 1) and the other real numberMINUSONE is equal to the fourth positive integerth element of the other list and the other positive integer is equal to (the third positive integer and the fourth positive integer) and the positive integer is equal to length of the other list and the real number is equal to the positive integerth element of the other list and the positive integer
(=> (average ?LIST ?AVERAGE) (forall (?LISTITEM) (=> (inList ?LISTITEM ?LIST) (instance ?LISTITEM RealNumber))))	Merge.kif 5370-5375	If a real number is an average of a list, then for all the listITEM if the listITEM is a member of the list, then the listITEM is an instance of real number

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 if the listITEM is a member of the list, then the listITEM is an instance of the symbolic string and there doesn't exist a fifth entity such that the fifth entity is an instance of the symbolic string and the fifth entity is not a member of the list and the other integer is equal to the number of instances in the class described by the symbolic string and the real number is an average of the list
(<=> (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 if the listITEM is a member of the list, then the listITEM is an instance of the symbolic string and there doesn't exist a fifth entity such that the fifth entity is an instance of the symbolic string and the fifth entity is not a member of the list and the other integer is equal to the number of instances in the class described by the symbolic string 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 if the listITEM is a member of the list, then the listITEM is an instance of the symbolic string and there doesn't exist a fifth entity such that the fifth entity is an instance of the symbolic string and the fifth entity is not a member of the list and the other integer is equal to the number of instances in the class described by the symbolic string and the real number is an average of the list

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