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Entity > Abstract > Class > Relation > BinaryRelation > UnaryFunction > FloorFn
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FloorFn
subjectfact 
FloorFndocumentation (FloorFn ?NUMBER) returns the largest Integer less than or equal to the RealNumber ?NUMBER2001-11-30 13:34:17.0
has axiom
(<=>
(equal (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER)
(equal (AdditionFn (MultiplicationFn (FloorFn (DivisionFn ?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER) ?NUMBER1))
2001-11-30 13:34:17.0
has axiom
(=>
(equal (FloorFn ?NUMBER) ?INT)
(not
(exists (?OTHERINT)
(and
(instance ?OTHERINT Integer)
(lessThanOrEqualTo ?OTHERINT ?NUMBER)
(greaterThan ?OTHERINT ?INT)))))
2001-11-30 13:34:17.0
has axiom
(=>
(equal (RoundFn ?NUMBER1) ?NUMBER2)
(or
(=>
(lessThan (SubtractionFn ?NUMBER1 (FloorFn ?NUMBER1)) .5)
(equal ?NUMBER2 (FloorFn ?NUMBER1)))
(=>
(greaterThanOrEqualTo (SubtractionFn ?NUMBER1 (FloorFn ?NUMBER1)) .5)
(equal ?NUMBER2 (CeilingFn ?NUMBER1)))))
2001-11-30 13:34:17.0
has domain1 RealNumber2001-11-30 13:34:17.0
has range Integer2001-11-30 13:34:17.0
is an instance of UnaryFunction2001-11-30 13:34:17.0
BinaryRelationis first domain of DomainFn2001-11-30 13:33:44.0
is first domain of equivalenceRelationOn2001-11-30 13:33:44.0
is first domain of inverse2001-11-30 13:33:44.0
is first domain of irreflexiveOn2001-11-30 13:33:44.0
is first domain of partialOrderingOn2001-11-30 13:33:44.0
is first domain of RangeFn2001-11-30 13:33:44.0
is first domain of reflexiveOn2001-11-30 13:33:44.0
is first domain of totalOrderingOn2001-11-30 13:33:44.0
is first domain of trichotomizingOn2001-11-30 13:33:44.0
is second domain of inverse2001-11-30 13:33:44.0
Functionis first domain of AssignmentFn2001-11-30 13:34:18.0
is first domain of closedOn2001-11-30 13:34:18.0
is first domain of range2001-11-30 13:34:18.0
is first domain of rangeSubclass2001-11-30 13:34:18.0
Classis third domain of domain2001-11-30 13:33:51.0
is third domain of domainSubclass2001-11-30 13:33:51.0
Abstractis disjoint from Physical2001-11-30 13:33:32.0

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