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Sigma KEE - ListLengthFn

ListLengthFn

appearance as argument number 1

(documentation ListLengthFn ChineseLanguage "这个 Function 接受一个 List 作为它唯一的参数，然后交出这个 List 中项目的数量。例如： (ListLengthFn (ListFn Monday Tuesday Wednesday))交出的值会是3。")	chinese_format.kif 1967-1969
(documentation ListLengthFn EnglishLanguage "A Function that takes a List as its sole argument and returns the number of items in the List. For example, (ListLengthFn (ListFn Monday Tuesday Wednesday)) would return the value 3.")	Merge.kif 2906-2909
(domain ListLengthFn 1 List)	Merge.kif 2903-2903	The number 1 argument of list length is an instance of list
(instance ListLengthFn TotalValuedRelation)	Merge.kif 2902-2902	List length is an instance of total valued relation
(instance ListLengthFn UnaryFunction)	Merge.kif 2901-2901	List length is an instance of unary function
(range ListLengthFn NonnegativeInteger)	Merge.kif 2904-2904	The range of list length is an instance of nonnegative integer

appearance as argument number 2

(format ChineseLanguage ListLengthFn "%1 的长度")	chinese_format.kif 265-265
(format EnglishLanguage ListLengthFn "length of %1")	english_format.kif 273-273
(termFormat ChineseLanguage ListLengthFn "列表长度")	domainEnglishFormat.kif 34606-34606
(termFormat ChineseLanguage ListLengthFn "找出表列长度的函数")	chinese_format.kif 266-266
(termFormat ChineseTraditionalLanguage ListLengthFn "列表長度")	domainEnglishFormat.kif 34605-34605
(termFormat EnglishLanguage ListLengthFn "list length")	domainEnglishFormat.kif 34604-34604

antecedent

(=> (and (equal ?A (AverageFn ?L)) (greaterThan (ListLengthFn ?L) 0)) (equal ?A (DivisionFn (ListSumFn ?L) (ListLengthFn ?L))))	Merge.kif 3161-3168	If a number is equal to the average of the numbers in a list and length of the list is greater than 0, then the number is equal to the sum of the list and length of the list
(=> (and (equal ?A (ListSumFn ?L)) (equal 1 (ListLengthFn ?L))) (equal ?A (ListOrderFn ?L 1)))	Merge.kif 3136-3140	If a number is equal to the sum of a list and 1 is equal to length of the list, then the number is equal to 1th element of the list
(=> (and (equal ?A (ListSumFn ?L)) (greaterThan (ListLengthFn ?L) 1)) (equal ?A (AdditionFn (FirstFn ?L) (ListSumFn (SubListFn 2 (ListLengthFn ?L) ?L)))))	Merge.kif 3142-3152	If a number is equal to the sum of a list and length of the list is greater than 1, then the number is equal to (the first of the list and the sum of the sub-list from 2 to length of the list of the list)
(=> (and (equal ?VA (VarianceAverageFn ?M ?L)) (equal 1 (ListLengthFn ?L))) (equal ?VA (MultiplicationFn (SubtractionFn ?M (ListOrderFn ?L 1)) (SubtractionFn ?M (ListOrderFn ?L 1)))))	Weather.kif 1089-1100

consequent

(<=> (and (equal ?LIST3 (ListConcatenateFn ?LIST1 ?LIST2)) (not (equal ?LIST1 NullList)) (not (equal ?LIST2 NullList))) (forall (?NUMBER1 ?NUMBER2) (=> (and (lessThanOrEqualTo ?NUMBER1 (ListLengthFn ?LIST1)) (lessThanOrEqualTo ?NUMBER2 (ListLengthFn ?LIST2)) (instance ?NUMBER1 PositiveInteger) (instance ?NUMBER2 PositiveInteger)) (and (equal (ListOrderFn ?LIST3 ?NUMBER1) (ListOrderFn ?LIST1 ?NUMBER1)) (equal (ListOrderFn ?LIST3 (AdditionFn (ListLengthFn ?LIST1) ?NUMBER2)) (ListOrderFn ?LIST2 ?NUMBER2))))))	Merge.kif 2972-2988	A list is equal to the list composed of another list and a third list and the other list is not equal to null list and the third list is not equal to null list if and only if for all a positive integer and another positive integer if the positive integer is less than or equal to length of the other list and the other positive integer is less than or equal to length of the third list and the positive integer is an instance of positive integer and the other positive integer is an instance of positive integer, then the positive integerth element of the list is equal to the positive integerth element of the other list and (length of the other list and the other positive integer)th element of the list is equal to the other positive integerth element of the third list
(<=> (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	A real number is an average of a list if and only if there exists another list 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 a positive integer if the positive integer is a member of the other list, then there exist a quantity, the quantityMINUSONE,, , another positive integer and a third positive integer such that the quantity is greater than 1 and the quantity is less than or equal to length of the other list and the positive integerth element of the other list is equal to the quantity and the other positive integer is a member of the list and the quantity is equal to the other positive integerth element of the list and the third positive integer is a member of the other list and the quantityMINUSONE is equal to (the quantity and 1) and the quantityMINUSONE is equal to the third positive integerth element of the other list and the positive integer is equal to (the other positive integer and the third positive integer) and a fourth positive integer is equal to length of the other list and the real number is equal to the fourth positive integerth element of the other list and the fourth positive integer
(<=> (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	The female life expectancy at birth of a geopolitical area and the year an integer is equal to a real number if and only if there exists a list such that the list is an instance of list and length of the list is an instance of another integer and for all the listITEM if the listITEM is a member of the list, then the listITEM is an instance of a symbolic string and there doesn't exist another entity such that the other entity is an instance of the symbolic string and the other 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
(<=> (equal (LastFn ?LIST) ?ITEM) (exists (?NUMBER) (and (equal (ListLengthFn ?LIST) ?NUMBER) (equal (ListOrderFn ?LIST ?NUMBER) ?ITEM))))	Merge.kif 3100-3105	The last of a list is equal to an entity if and only if there exists a positive integer such that length of the list is equal to the positive integer and the positive integerth element of the list is equal to the entity
(<=> (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	The life expectancy at birth of a geopolitical area and the year an integer is equal to a real number if and only if there exists a list such that the list is an instance of list and length of the list is an instance of another integer and for all the listITEM if the listITEM is a member of the list, then the listITEM is an instance of a symbolic string and there doesn't exist another entity such that the other entity is an instance of the symbolic string and the other 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
(<=> (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	The male life expectancy at birth of a geopolitical area and the year an integer is equal to a real number if and only if there exists a list such that the list is an instance of list and length of the list is an instance of another integer and for all the listITEM if the listITEM is a member of the list, then the listITEM is an instance of a symbolic string and there doesn't exist another entity such that the other entity is an instance of the symbolic string and the other 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 (equal ?A (AverageFn ?L)) (greaterThan (ListLengthFn ?L) 0)) (equal ?A (DivisionFn (ListSumFn ?L) (ListLengthFn ?L))))	Merge.kif 3161-3168	If a number is equal to the average of the numbers in a list and length of the list is greater than 0, then the number is equal to the sum of the list and length of the list
(=> (and (equal ?A (ListSumFn ?L)) (greaterThan (ListLengthFn ?L) 1)) (equal ?A (AdditionFn (FirstFn ?L) (ListSumFn (SubListFn 2 (ListLengthFn ?L) ?L)))))	Merge.kif 3142-3152	If a number is equal to the sum of a list and length of the list is greater than 1, then the number is equal to (the first of the list and the sum of the sub-list from 2 to length of the list of the list)
(=> (and (equal ?V (VarianceFn ?L)) (equal ?M (AverageFn ?L))) (equal ?V (DivisionFn (VarianceAverageFn ?M ?L) (ListLengthFn ?L))))	Weather.kif 1078-1087
(=> (and (equal ?VA (VarianceAverageFn ?M ?L)) (greaterThan (ListlengthFn ?L) 1)) (equal ?VA (AdditionFn (VarianceAverageFn ?M (ListOrderFn ?L 1)) (VarianceAverageFn ?M (SubListFn 2 (ListLengthFn ?L) ?L)))))	Weather.kif 1058-1070
(=> (and (instance ?PAGE SearchResultsPage) (instance ?RESULTS SRPResults) (component ?RESULTS ?PAGE)) (equal (DivisionFn (CardinalityFn (KappaFn ?CLICK (and (instance ?CLICK RequestingHyperlink) (patient ?CLICK ?ELEMENT) (destination ?CLICK ?LINKEDPAGE) (instance ?ELEMENT HypertextLink) (component ?ELEMENT ?PAGE) (or (instance ?LINKEDPAGE ProductDescriptionPage) (instance ?LINKEDPAGE ViewItemPage))))) (ListLengthFn ?RESULTS)) (SRPEngagementFn ?PAGE)))	UXExperimentalTerms.kif 3923-3941	If a search results page is an instance of search results page and a list is an instance of search results and the list is a component of the search results page, then the number of instances in the class described by a symbolic string and length of the list is equal to qualifying clicks on the search results page
(=> (and (valence ?REL ?NUMBER) (instance ?REL Predicate)) (forall (@ROW) (=> (?REL @ROW) (equal (ListLengthFn (ListFn @ROW)) ?NUMBER))))	Merge.kif 2937-2944	If a relation %&has a positive integer argument(s) and the relation is an instance of predicate, then for all @ROW if the relation @ROW, then length of (@ROW) is equal to the positive integer

statement

(forall (@ROW ?ITEM) (equal (ListLengthFn (ListFn @ROW ?ITEM)) (SuccessorFn (ListLengthFn (ListFn @ROW)))))	Merge.kif 2926-2929	For all @ROW and another entity length of (@ROW and the other entity) is equal to (length of (@ROW)+1)
(forall (@ROW ?ITEM) (equal (ListOrderFn (ListFn @ROW ?ITEM) (ListLengthFn (ListFn @ROW ?ITEM))) ?ITEM))	Merge.kif 2931-2935	For all @ROW and another entity length of (@ROW and the other entity)th element of (@ROW and the other entity) is equal to the other entity

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