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Sigma KEE - AverageFn

AverageFn

appearance as argument number 1

(documentation AverageFn EnglishLanguage "The average of the Numbers in a List")	Merge.kif 3271-3271
(domain AverageFn 1 List)	Merge.kif 3269-3269	The number 1 argument of average function is an instance of list
(instance AverageFn UnaryFunction)	Merge.kif 3268-3268	Average function is an instance of unary function
(range AverageFn RealNumber)	Merge.kif 3270-3270	The range of average function is an instance of real number

appearance as argument number 2

(format EnglishLanguage AverageFn "the average of the numbers in %1")	Merge.kif 3273-3273
(termFormat EnglishLanguage AverageFn "average function")	Merge.kif 3272-3272

antecedent

(=> (and (equal ?A (AverageFn ?L)) (greaterThan (ListLengthFn ?L) 0)) (equal ?A (DivisionFn (ListSumFn ?L) (ListLengthFn ?L))))	Merge.kif 3275-3282	If a real number is equal to the average of the numbers in a list and length of the list is greater than 0, then the real number is equal to the sum of the list and length of the list
(=> (and (equal ?A (AverageFn ?L)) (inList ?N ?L)) (instance ?N Number))	Merge.kif 3284-3288	If a real number is equal to the average of the numbers in a list and an entity is a member of the list, then the entity is an instance of number
(=> (and (equal ?V (VarianceFn ?L)) (equal ?M (AverageFn ?L))) (equal ?V (DivisionFn (VarianceAverageFn ?M ?L) (ListLengthFn ?L))))	Weather.kif 1458-1467	If a real number is equal to The VarianceFn a list and another real number is equal to the average of the numbers in the list, then the real number is equal to VarianceAverageFn of the list with the mean of the other real number and length of the list

consequent

(=> (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 2205-2222	If a function quantity is equal to Mean10MinutesWindSpeedFn for a time interval in region a geographic area, then there exist an entity, another entity,, , a third entity and a fourth entity such that the entity is an instance of measuring surface wind speed list and The eventLocated for the entity is the geographic area and The Measuring for list the entity occurs at 5 second duration(s) interval. and The Measuring for list the entity takes 10 minute duration(s). and 120 is equal to length of the entity and the other entity is the result of the entity and the third entity is equal to PhysicalQuantityToNumberFn returns the numberic values of a list of the other entity and the function quantity is equal to the average of the numbers in the third entity the fourth entity(s) holds during the time interval
(=> (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 2310-2327	If a function quantity is equal to Mean1MinuteWindSpeedFn for a time interval in region a geographic area, then there exist an entity, another entity,, , a third entity and a fourth entity such that the entity is an instance of measuring surface wind speed list and The eventLocated for the entity is the geographic area and The Measuring for list the entity occurs at 5 second duration(s) interval. and The Measuring for list the entity takes 1 minute duration(s). and 12 is equal to length of the entity and the other entity is the result of the entity and the third entity is equal to PhysicalQuantityToNumberFn returns the numberic values of a list of the other entity and the function quantity is equal to the average of the numbers in the third entity the fourth entity(s) holds during the time interval
(=> (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 2275-2292	If a function quantity is equal to Mean2MinutesWindSpeedFn for a time interval in region a geographic area, then there exist an entity, another entity,, , a third entity and a fourth entity such that the entity is an instance of measuring surface wind speed list and The eventLocated for the entity is the geographic area and The Measuring for list the entity occurs at 5 second duration(s) interval. and The Measuring for list the entity takes 2 minute duration(s). and 24 is equal to length of the entity and the other entity is the result of the entity and the third entity is equal to PhysicalQuantityToNumberFn returns the numberic values of a list of the other entity and the function quantity is equal to the average of the numbers in the third entity the fourth entity(s) holds during the time interval
(=> (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 2240-2257	If a function quantity is equal to Mean3MinutesWindSpeedFn for a time interval in region a geographic area, then there exist an entity, another entity,, , a third entity and a fourth entity such that the entity is an instance of measuring surface wind speed list and The eventLocated for the entity is the geographic area and The Measuring for list the entity occurs at 5 second duration(s) interval. and The Measuring for list the entity takes 2 minute duration(s). and 36 is equal to length of the entity and the other entity is the result of the entity and the third entity is equal to PhysicalQuantityToNumberFn returns the numberic values of a list of the other entity and the function quantity is equal to the average of the numbers in the third entity the fourth entity(s) holds during the time interval
(=> (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 1886-1903	If a function quantity is equal to Mean3SecondWindSpeedFn for a time interval in region a geographic area, then there exist an entity, another entity,, , a third entity and a fourth entity such that the entity is an instance of measuring surface wind speed list and The eventLocated for the entity is the geographic area and The Measuring for list the entity occurs at 0.25 second duration(s) interval. and The Measuring for list the entity takes 3 second duration(s). and 12 is equal to length of the entity and the other entity is the result of the entity and the third entity is equal to PhysicalQuantityToNumberFn returns the numberic values of a list of the other entity and the function quantity is equal to the average of the numbers in the third entity the fourth entity(s) holds during the time interval

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