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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 3018-3021
(documentation ListLengthFn JapaneseLanguage "Function は、 List を唯一の引数として受け 取り、List 内の項目数を返す。例:(ListLengthFn (ListFn Monday Tuesday Wednesday)) は3の値を返す。") japanese_format.kif 599-601
(domain ListLengthFn 1 List) Merge.kif 3015-3015 The number 1 argument of list length is an instance of list
(instance ListLengthFn TotalValuedRelation) Merge.kif 3014-3014 List length is an instance of total valued relation
(instance ListLengthFn UnaryFunction) Merge.kif 3013-3013 List length is an instance of unary function
(range ListLengthFn NonnegativeInteger) Merge.kif 3016-3016 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 270-270
(format FrenchLanguage ListLengthFn "longueur de %1") french_format.kif 151-151
(format ItalianLanguage ListLengthFn "lunghezza di %1") relations-it.txt 168-168
(format JapaneseLanguage ListLengthFn "%1 の length") japanese_format.kif 1979-1979
(format PortugueseLanguage ListLengthFn "comprimento de %1") portuguese_format.kif 103-103
(format cz ListLengthFn "length of %1") relations-cz.txt 160-160
(format de ListLengthFn "Laenge von %1") relations-de.txt 341-341
(format hi ListLengthFn "%1 kii lambaaaii") relations-hindi.txt 57-57
(format ro ListLengthFn "length%t{lungimea} lui %1") relations-ro.kif 170-170
(format sv ListLengthFn "längden av %1") relations-sv.txt 157-157
(format tg ListLengthFn "haba ng %1") relations-tg.txt 335-335
(termFormat ChineseLanguage ListLengthFn "列表长度") domainEnglishFormat.kif 34720-34720
(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 34719-34719
(termFormat EnglishLanguage ListLengthFn "list length") domainEnglishFormat.kif 34718-34718
(termFormat de ListLengthFn "ListeLaengeFn") terms-de.txt 109-109
(termFormat tg ListLengthFn "tungkulin ng talaan haba") relations-tg.txt 336-336

antecedent
-------------------------


(=>
    (and
        (equal
            (ListLengthFn ?LIST) ?NUMBER)
        (equal
            (ListOrderFn ?LIST ?NUMBER) ?ITEM))
    (equal
        (LastFn ?LIST) ?ITEM))
Merge.kif 3220-3224
(=>
    (and
        (equal ?A
            (AverageFn ?L))
        (greaterThan
            (ListLengthFn ?L) 0))
    (equal ?A
        (DivisionFn
            (ListSumFn ?L)
            (ListLengthFn ?L))))
Merge.kif 3278-3285
(=>
    (and
        (equal ?A
            (ListSumFn ?L))
        (equal 1
            (ListLengthFn ?L)))
    (equal ?A
        (ListOrderFn ?L 1)))
Merge.kif 3253-3257
(=>
    (and
        (equal ?A
            (ListSumFn ?L))
        (greaterThan
            (ListLengthFn ?L) 1))
    (equal ?A
        (AdditionFn
            (FirstFn ?L)
            (ListSumFn
                (SubListFn 2
                    (ListLengthFn ?L) ?L)))))
Merge.kif 3259-3269
(=>
    (and
        (equal ?LIST3
            (ListConcatenateFn ?LIST1 ?LIST2))
        (not
            (equal ?LIST1 NullList))
        (not
            (equal ?LIST2 NullList))
        (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 3084-3103
(=>
    (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 1470-1481
(=>
    (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 1437-1449

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 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 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 and the real number is an average of the list
(<=>
    (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 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
(=>
    (and
        (equal ?A
            (AverageFn ?L))
        (greaterThan
            (ListLengthFn ?L) 0))
    (equal ?A
        (DivisionFn
            (ListSumFn ?L)
            (ListLengthFn ?L))))
Merge.kif 3278-3285
(=>
    (and
        (equal ?A
            (ListSumFn ?L))
        (greaterThan
            (ListLengthFn ?L) 1))
    (equal ?A
        (AdditionFn
            (FirstFn ?L)
            (ListSumFn
                (SubListFn 2
                    (ListLengthFn ?L) ?L)))))
Merge.kif 3259-3269
(=>
    (and
        (equal ?LIST3
            (ListConcatenateFn ?LIST1 ?LIST2))
        (not
            (equal ?LIST1 NullList))
        (not
            (equal ?LIST2 NullList))
        (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 3084-3103
(=>
    (and
        (equal ?V
            (VarianceFn ?L))
        (equal ?M
            (AverageFn ?L)))
    (equal ?V
        (DivisionFn
            (VarianceAverageFn ?M ?L)
            (ListLengthFn ?L))))
Weather.kif 1459-1468
(=>
    (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 1437-1449
(=>
    (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 3721-3739
(=>
    (and
        (valence ?REL ?NUMBER)
        (instance ?REL Predicate))
    (forall (@ROW)
        (=>
            (?REL @ROW)
            (equal
                (ListLengthFn
                    (ListFn @ROW)) ?NUMBER))))
Merge.kif 3049-3056
(=>
    (equal
        (LastFn ?LIST) ?ITEM)
    (exists (?NUMBER)
        (and
            (equal
                (ListLengthFn ?LIST) ?NUMBER)
            (equal
                (ListOrderFn ?LIST ?NUMBER) ?ITEM))))
Merge.kif 3213-3218
(=>
    (equal ?SPEED
        (Mean10MinutesWindSpeedFn ?PLACE ?TIME))
    (holdsDuring ?TIME
        (exists (?MLIST ?RLIST ?NLIST ?UNIT)
            (and
                (instance ?MLIST MeasuringSurfaceWindSpeedList)
                (locationMeasuringList ?MLIST ?PLACE)
                (measuringListInterval ?MLIST
                    (MeasureFn 5 SecondDuration))
                (measuringListDuration ?MLIST
                    (MeasureFn 10 MinuteDuration))
                (equal 120
                    (ListLengthFn ?MLIST))
                (measuringResult ?MLIST ?RLIST)
                (equal ?NLIST
                    (PhysicalQuantityToNumberFn ?RLIST))
                (equal ?SPEED
                    (MeasureFn
                        (AverageFn ?NLIST) ?UNIT))))))
Weather.kif 2206-2223
(=>
    (equal ?SPEED
        (Mean1MinuteWindSpeedFn ?PLACE ?TIME))
    (holdsDuring ?TIME
        (exists (?MLIST ?RLIST ?NLIST ?UNIT)
            (and
                (instance ?MLIST MeasuringSurfaceWindSpeedList)
                (locationMeasuringList ?MLIST ?PLACE)
                (measuringListInterval ?MLIST
                    (MeasureFn 5 SecondDuration))
                (measuringListDuration ?MLIST
                    (MeasureFn 1 MinuteDuration))
                (equal 12
                    (ListLengthFn ?MLIST))
                (measuringResult ?MLIST ?RLIST)
                (equal ?NLIST
                    (PhysicalQuantityToNumberFn ?RLIST))
                (equal ?SPEED
                    (MeasureFn
                        (AverageFn ?NLIST) ?UNIT))))))
Weather.kif 2311-2328
(=>
    (equal ?SPEED
        (Mean2MinutesWindSpeedFn ?PLACE ?TIME))
    (holdsDuring ?TIME
        (exists (?MLIST ?RLIST ?NLIST ?UNIT)
            (and
                (instance ?MLIST MeasuringSurfaceWindSpeedList)
                (locationMeasuringList ?MLIST ?PLACE)
                (measuringListInterval ?MLIST
                    (MeasureFn 5 SecondDuration))
                (measuringListDuration ?MLIST
                    (MeasureFn 2 MinuteDuration))
                (equal 24
                    (ListLengthFn ?MLIST))
                (measuringResult ?MLIST ?RLIST)
                (equal ?NLIST
                    (PhysicalQuantityToNumberFn ?RLIST))
                (equal ?SPEED
                    (MeasureFn
                        (AverageFn ?NLIST) ?UNIT))))))
Weather.kif 2276-2293
(=>
    (equal ?SPEED
        (Mean3MinutesWindSpeedFn ?PLACE ?TIME))
    (holdsDuring ?TIME
        (exists (?MLIST ?RLIST ?NLIST ?UNIT)
            (and
                (instance ?MLIST MeasuringSurfaceWindSpeedList)
                (locationMeasuringList ?MLIST ?PLACE)
                (measuringListInterval ?MLIST
                    (MeasureFn 5 SecondDuration))
                (measuringListDuration ?MLIST
                    (MeasureFn 2 MinuteDuration))
                (equal 36
                    (ListLengthFn ?MLIST))
                (measuringResult ?MLIST ?RLIST)
                (equal ?NLIST
                    (PhysicalQuantityToNumberFn ?RLIST))
                (equal ?SPEED
                    (MeasureFn
                        (AverageFn ?NLIST) ?UNIT))))))
Weather.kif 2241-2258
(=>
    (equal ?SPEED
        (Mean3SecondWindSpeedFn ?PLACE ?TIME))
    (holdsDuring ?TIME
        (exists (?MLIST ?RLIST ?NLIST ?UNIT)
            (and
                (instance ?MLIST MeasuringSurfaceWindSpeedList)
                (locationMeasuringList ?MLIST ?PLACE)
                (measuringListInterval ?MLIST
                    (MeasureFn 0.25 SecondDuration))
                (measuringListDuration ?MLIST
                    (MeasureFn 3 SecondDuration))
                (equal 12
                    (ListLengthFn ?MLIST))
                (measuringResult ?MLIST ?RLIST)
                (equal ?NLIST
                    (PhysicalQuantityToNumberFn ?RLIST))
                (equal ?SPEED
                    (MeasureFn
                        (AverageFn ?NLIST) ?UNIT))))))
Weather.kif 1887-1904

statement
-------------------------


(forall (@ROW ?ITEM)
    (equal
        (ListLengthFn
            (ListFn @ROW ?ITEM))
        (SuccessorFn
            (ListLengthFn
                (ListFn @ROW)))))
Merge.kif 3038-3041 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 3043-3047 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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