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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 3273-3273
(domain AverageFn 1 List)	Merge.kif 3271-3271	The number 1 argument of average function is an instance of list
(instance AverageFn UnaryFunction)	Merge.kif 3270-3270	Average function is an instance of unary function
(range AverageFn RealNumber)	Merge.kif 3272-3272	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 3275-3275
(termFormat EnglishLanguage AverageFn "average function")	Merge.kif 3274-3274

antecedent

(=> (and (equal ?A (AverageFn ?L)) (greaterThan (ListLengthFn ?L) 0)) (equal ?A (DivisionFn (ListSumFn ?L) (ListLengthFn ?L))))	Merge.kif 3277-3284	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 3286-3290	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 1471-1480	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 2219-2236	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 2324-2341	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 2289-2306	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 2254-2271	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 1900-1917	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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