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AssociativeFunction comparison table
Subject documentation have axiom have identityElement
AdditionFnIf ?NUMBER1 and ?NUMBER2 are Numbers, then (AdditionFn ?NUMBER1 ?NUMBER2) is the arithmetical sum of these numbers
(<=>
    (equal (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER)
    (equal (AdditionFn (MultiplicationFn (FloorFn (DivisionFn ?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER) ?NUMBER1))
0
DivisionFnIf ?NUMBER1 and ?NUMBER2 are Numbers, then (DivisionFn ?NUMBER1 ?NUMBER2) is the result of dividing ?NUMBER1 by ?NUMBER2. An exception occurs when ?NUMBER1 = 1, in which case (DivisionFn ?NUMBER1 ?NUMBER2) is the reciprocal of ?NUMBER2
(equal
 	(MeasureFn ?NUMBER AngularDegree)
 	(MeasureFn (MultiplicationFn ?NUMBER (DivisionFn Pi 180)) Radian))
1
MaxFn(MaxFn ?NUMBER1 ?NUMBER2) is the largest of ?NUMBER1 and ?NUMBER2. In cases where ?NUMBER1 is equal to ?NUMBER2, MaxFn returns one of its arguments
(=>
    (equal (MaxFn ?NUMBER1 ?NUMBER2) ?NUMBER)
    (or
       (and
          (equal ?NUMBER ?NUMBER1)
          (greaterThan ?NUMBER1 ?NUMBER2))
       (and
          (equal ?NUMBER ?NUMBER2)
          (greaterThan ?NUMBER2 ?NUMBER1))
       (and
          (equal ?NUMBER ?NUMBER1)
          (equal ?NUMBER ?NUMBER2))))
 
MinFn(MinFn ?NUMBER1 ?NUMBER2) is the smallest of ?NUMBER1 and ?NUMBER2. In cases where ?NUMBER1 is equal to ?NUMBER2, MinFn returns one of its arguments
(=>
    (equal (MinFn ?NUMBER1 ?NUMBER2) ?NUMBER)
    (or
       (and
          (equal ?NUMBER ?NUMBER1)
          (lessThan ?NUMBER1 ?NUMBER2))
       (and
          (equal ?NUMBER ?NUMBER2)
          (lessThan ?NUMBER2 ?NUMBER1))
       (and
          (equal ?NUMBER ?NUMBER1)
          (equal ?NUMBER ?NUMBER2))))
 
MultiplicationFnIf ?NUMBER1 and ?NUMBER2 are Numbers, then (MultiplicationFn ?NUMBER1 ?NUMBER2) is the arithmetical product of these numbers
(equal
 	(MeasureFn ?NUMBER YearDuration)
 	(MeasureFn (MultiplicationFn ?NUMBER 365) DayDuration))
1
SubtractionFnIf ?NUMBER1 and ?NUMBER2 are Numbers, then (SubtractionFn ?NUMBER1 ?NUMBER2) is the arithmetical difference between ?NUMBER1 and ?NUMBER2, i.e. ?NUMBER1 minus ?NUMBER2. An exception occurs when ?NUMBER1 is equal to 0, in which case (SubtractionFn ?NUMBER1 ?NUMBER2) is the negation of ?NUMBER2
(equal
         (MeasureFn ?NUMBER Celsius)
         (MeasureFn (SubtractionFn ?NUMBER 273.15) Kelvin))
0

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