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KB Term:  Term intersection
English Word: 

  ListLengthFn

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 2976-2979
(domain ListLengthFn 1 List) Merge.kif 2973-2973 The number 1 argument of list length is an instance of list
(instance ListLengthFn TotalValuedRelation) Merge.kif 2972-2972 List length is an instance of total valued relation
(instance ListLengthFn UnaryFunction) Merge.kif 2971-2971 List length is an instance of unary function
(range ListLengthFn NonnegativeInteger) Merge.kif 2974-2974 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 34673-34673
(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 34672-34672
(termFormat EnglishLanguage ListLengthFn "list length") domainEnglishFormat.kif 34671-34671

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


(=>
    (and
        (equal
            (ListLengthFn ?LIST) ?NUMBER)
        (equal
            (ListOrderFn ?LIST ?NUMBER) ?ITEM))
    (equal
        (LastFn ?LIST) ?ITEM))
Merge.kif 3178-3182
(=>
    (and
        (equal ?A
            (AverageFn ?L))
        (greaterThan
            (ListLengthFn ?L) 0))
    (equal ?A
        (DivisionFn
            (ListSumFn ?L)
            (ListLengthFn ?L))))
Merge.kif 3236-3243
(=>
    (and
        (equal ?A
            (ListSumFn ?L))
        (equal 1
            (ListLengthFn ?L)))
    (equal ?A
        (ListOrderFn ?L 1)))
Merge.kif 3211-3215
(=>
    (and
        (equal ?A
            (ListSumFn ?L))
        (greaterThan
            (ListLengthFn ?L) 1))
    (equal ?A
        (AdditionFn
            (FirstFn ?L)
            (ListSumFn
                (SubListFn 2
                    (ListLengthFn ?L) ?L)))))
Merge.kif 3217-3227
(=>
    (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 3042-3061
(=>
    (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 1486-1497
(=>
    (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 1453-1465

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 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 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 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 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 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 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 298-319 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 3236-3243
(=>
    (and
        (equal ?A
            (ListSumFn ?L))
        (greaterThan
            (ListLengthFn ?L) 1))
    (equal ?A
        (AdditionFn
            (FirstFn ?L)
            (ListSumFn
                (SubListFn 2
                    (ListLengthFn ?L) ?L)))))
Merge.kif 3217-3227
(=>
    (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 3042-3061
(=>
    (and
        (equal ?V
            (VarianceFn ?L))
        (equal ?M
            (AverageFn ?L)))
    (equal ?V
        (DivisionFn
            (VarianceAverageFn ?M ?L)
            (ListLengthFn ?L))))
Weather.kif 1475-1484
(=>
    (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 1453-1465
(=>
    (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 3927-3945
(=>
    (and
        (valence ?REL ?NUMBER)
        (instance ?REL Predicate))
    (forall (@ROW)
        (=>
            (?REL @ROW)
            (equal
                (ListLengthFn
                    (ListFn @ROW)) ?NUMBER))))
Merge.kif 3007-3014
(=>
    (equal
        (LastFn ?LIST) ?ITEM)
    (exists (?NUMBER)
        (and
            (equal
                (ListLengthFn ?LIST) ?NUMBER)
            (equal
                (ListOrderFn ?LIST ?NUMBER) ?ITEM))))
Merge.kif 3171-3176
(=>
    (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 2223-2240
(=>
    (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 2328-2345
(=>
    (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 2293-2310
(=>
    (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 2258-2275
(=>
    (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 1904-1921

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


(forall (@ROW ?ITEM)
    (equal
        (ListLengthFn
            (ListFn @ROW ?ITEM))
        (SuccessorFn
            (ListLengthFn
                (ListFn @ROW)))))
Merge.kif 2996-2999 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 3001-3005 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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