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| Entity > Abstract > Class > Relation > BinaryRelation > UnaryFunction > ReciprocalFn |
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| ReciprocalFn | ||||
| subject | fact | |||
| ReciprocalFn | documentation (ReciprocalFn ?NUMBER) is the reciprocal element of ?NUMBER with respect to the multiplication operator (MultiplicationFn), i.e. 1/?NUMBER. Not all numbers have a reciprocal element. For example the number 0 does not. If a number ?NUMBER has a reciprocal ?RECIP, then the product of ?NUMBER and ?RECIP will be 1, e.g. 3*1/3 = 1. The reciprocal of an element is equal to applying the ExponentiationFn function to the element to the power -1 |  |
has axiom (equal (ReciprocalFn ?NUMBER) | | |
has axiom (equal 1 (MultiplicationFn ?NUMBER (ReciprocalFn ?NUMBER))) | | |
| has domain1 Quantity | | |
| has range Quantity | | |
| is an instance of RelationExtendedToQuantities | | |
| is an instance of UnaryFunction | | |
| Relation | is first domain of domain | |
| is first domain of domainSubclass | | |
| is first domain of holds | | |
| is first domain of subrelation | | |
| is first domain of valence | | |
| is second domain of subrelation | | |
| BinaryRelation | is first domain of DomainFn | |
| is first domain of equivalenceRelationOn | | |
| is first domain of inverse | | |
| is first domain of irreflexiveOn | | |
| is first domain of partialOrderingOn | | |
| is first domain of RangeFn | | |
| is first domain of reflexiveOn | | |
| is first domain of totalOrderingOn | | |
| is first domain of trichotomizingOn | | |
| is second domain of inverse | | |
| Function | is first domain of AssignmentFn | |
| is first domain of closedOn | | |
| is first domain of range | | |
| is first domain of rangeSubclass | | |
| Class | is third domain of domain | |
| is third domain of domainSubclass | | |
| Abstract | is disjoint from Physical | |
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