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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 3274-3274
(domain AverageFn 1 List)	Merge.kif 3272-3272	The number 1 argument of average function is an instance of list
(instance AverageFn UnaryFunction)	Merge.kif 3271-3271	Average function is an instance of unary function
(range AverageFn RealNumber)	Merge.kif 3273-3273	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 3276-3276
(termFormat EnglishLanguage AverageFn "average function")	Merge.kif 3275-3275

antecedent

(=> (and (equal ?A (AverageFn ?L)) (greaterThan (ListLengthFn ?L) 0)) (equal ?A (DivisionFn (ListSumFn ?L) (ListLengthFn ?L))))	Merge.kif 3278-3285	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 3287-3291	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 1459-1468	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 2206-2223	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 2311-2328	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 2276-2293	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 2241-2258	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 1887-1904	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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