SUMO View all facts Glossary Help |
Entity > Abstract > Class > Relation > Function > BinaryFunction > AssociativeFunction |
AssociativeFunction comparison table |
Subject | documentation | have axiom | have identityElement |
---|---|---|---|
AdditionFn | If ?NUMBER1 and ?NUMBER2 are Numbers, then (AdditionFn ?NUMBER1 ?NUMBER2) is the arithmetical sum of these numbers | (<=> | 0 |
DivisionFn | If ?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 | 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 | (=> | |
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 | (=> | |
MultiplicationFn | If ?NUMBER1 and ?NUMBER2 are Numbers, then (MultiplicationFn ?NUMBER1 ?NUMBER2) is the arithmetical product of these numbers | (equal | 1 |
SubtractionFn | If ?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 | 0 |
Next BinaryFunction: CommutativeFunction Up: BinaryFunction Previous BinaryFunction: WhereFn