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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 2953-2956
(domain ListLengthFn 1 List) Merge.kif 2950-2950 The number 1 argument of list length is an instance of list
(instance ListLengthFn TotalValuedRelation) Merge.kif 2949-2949 List length is an instance of total valued relation
(instance ListLengthFn UnaryFunction) Merge.kif 2948-2948 List length is an instance of unary function
(range ListLengthFn NonnegativeInteger) Merge.kif 2951-2951 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
(termFormat ChineseLanguage ListLengthFn "列表长度") domainEnglishFormat.kif 34674-34674
(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 34673-34673
(termFormat EnglishLanguage ListLengthFn "list length") domainEnglishFormat.kif 34672-34672

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


(=>
    (and
        (equal
            (ListLengthFn ?LIST) ?NUMBER)
        (equal
            (ListOrderFn ?LIST ?NUMBER) ?ITEM))
    (equal
        (LastFn ?LIST) ?ITEM))
Merge.kif 3155-3159
(=>
    (and
        (equal ?A
            (AverageFn ?L))
        (greaterThan
            (ListLengthFn ?L) 0))
    (equal ?A
        (DivisionFn
            (ListSumFn ?L)
            (ListLengthFn ?L))))
Merge.kif 3214-3221
(=>
    (and
        (equal ?A
            (ListSumFn ?L))
        (equal 1
            (ListLengthFn ?L)))
    (equal ?A
        (ListOrderFn ?L 1)))
Merge.kif 3189-3193
(=>
    (and
        (equal ?A
            (ListSumFn ?L))
        (greaterThan
            (ListLengthFn ?L) 1))
    (equal ?A
        (AdditionFn
            (FirstFn ?L)
            (ListSumFn
                (SubListFn 2
                    (ListLengthFn ?L) ?L)))))
Merge.kif 3195-3205
(=>
    (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 3019-3038
(=>
    (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 1485-1496
(=>
    (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 1452-1464

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 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 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 and the real number is an average of the list
(<=>
    (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 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 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 and the real number is an average of the list
(<=>
    (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 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 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 and the real number is an average of the 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 298-319 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 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
(=>
    (and
        (equal ?A
            (AverageFn ?L))
        (greaterThan
            (ListLengthFn ?L) 0))
    (equal ?A
        (DivisionFn
            (ListSumFn ?L)
            (ListLengthFn ?L))))
Merge.kif 3214-3221
(=>
    (and
        (equal ?A
            (ListSumFn ?L))
        (greaterThan
            (ListLengthFn ?L) 1))
    (equal ?A
        (AdditionFn
            (FirstFn ?L)
            (ListSumFn
                (SubListFn 2
                    (ListLengthFn ?L) ?L)))))
Merge.kif 3195-3205
(=>
    (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 3019-3038
(=>
    (and
        (equal ?V
            (VarianceFn ?L))
        (equal ?M
            (AverageFn ?L)))
    (equal ?V
        (DivisionFn
            (VarianceAverageFn ?M ?L)
            (ListLengthFn ?L))))
Weather.kif 1474-1483
(=>
    (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 1452-1464
(=>
    (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 3930-3948
(=>
    (and
        (valence ?REL ?NUMBER)
        (instance ?REL Predicate))
    (forall (@ROW)
        (=>
            (?REL @ROW)
            (equal
                (ListLengthFn
                    (ListFn @ROW)) ?NUMBER))))
Merge.kif 2984-2991
(=>
    (equal
        (LastFn ?LIST) ?ITEM)
    (exists (?NUMBER)
        (and
            (equal
                (ListLengthFn ?LIST) ?NUMBER)
            (equal
                (ListOrderFn ?LIST ?NUMBER) ?ITEM))))
Merge.kif 3148-3153
(=>
    (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 2222-2239
(=>
    (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 2327-2344
(=>
    (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 2292-2309
(=>
    (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 2257-2274
(=>
    (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 1903-1920

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


(forall (@ROW ?ITEM)
    (equal
        (ListLengthFn
            (ListFn @ROW ?ITEM))
        (SuccessorFn
            (ListLengthFn
                (ListFn @ROW)))))
Merge.kif 2973-2976 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 2978-2982 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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