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Entity > Abstract > Class > Relation > BinaryRelation > UnaryFunction > ReciprocalFn |
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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