| Subject |
have domain2 |
have domain1 |
be first domain of |
be second domain of |
have range |
documentation |
have inverse |
have axiom |
have identityElement |
is an instance of |
|---|
| AdditionFn | Quantity | Quantity | valence | subrelation | Quantity | If ?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 | RelationExtendedToQuantities |
| DivisionFn | Quantity | Quantity | valence | subrelation | Quantity | 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
(MeasureFn ?NUMBER AngularDegree)
(MeasureFn (MultiplicationFn ?NUMBER (DivisionFn Pi 180)) Radian))
| 1 | RelationExtendedToQuantities |
| equal | Entity | Entity | valence | subrelation | | (equal ?ENTITY1 ?ENTITY2) is true just in case ?ENTITY1 is identical with ?ENTITY2 | | (=>
(and
(instance ?REL RelationExtendedToQuantities)
(instance ?REL BinaryRelation)
(instance ?NUMBER1 RealNumber)
(instance ?NUMBER2 RealNumber)
(holds ?REL ?NUMBER1 ?NUMBER2))
(forall (?UNIT)
(=>
(instance ?UNIT UnitOfMeasure)
(holds ?REL (MeasureFn ?NUMBER1 ?UNIT) (MeasureFn ?NUMBER2 ?UNIT)))))
| | RelationExtendedToQuantities |
| ExponentiationFn | Integer | Quantity | identityElement | distributes | Quantity | (ExponentiationFn ?NUMBER ?INT) returns the RealNumber ?NUMBER raised to the power of the Integer ?INT | | (equal (ReciprocalFn ?NUMBER)
(ExponentiationFn ?NUMBER -1))
| | RelationExtendedToQuantities |
| greaterThan | Quantity | Quantity | valence | subrelation | | (greaterThan ?NUMBER1 ?NUMBER2) is true just in case the Quantity ?NUMBER1 is greater than the Quantity ?NUMBER2 | lessThan | (=>
(larger ?OBJ1 ?OBJ2)
(forall (?QUANT1 ?QUANT2)
(=>
(and
(measure ?OBJ1 (MeasureFn ?QUANT1 LengthMeasure))
(measure ?OBJ2 (MeasureFn ?QUANT2 LengthMeasure)))
(greaterThan ?QUANT1 ?QUANT2))))
| | TransitiveRelation |
| greaterThanOrEqualTo | Quantity | Quantity | valence | subrelation | | (greaterThanOrEqualTo ?NUMBER1 ?NUMBER2) is true just in case the Quantity ?NUMBER1 is greater than the Quantity ?NUMBER2 | lessThanOrEqualTo | (=>
(instance ?NUMBER NonnegativeRealNumber)
(greaterThanOrEqualTo ?NUMBER 0))
| | RelationExtendedToQuantities |
| lessThan | Quantity | Quantity | valence | subrelation | | (lessThan ?NUMBER1 ?NUMBER2) is true just in case the Quantity ?NUMBER1 is less than the Quantity ?NUMBER2 | | (=>
(instance ?NUMBER NegativeRealNumber)
(lessThan ?NUMBER 0))
| | TransitiveRelation |
| lessThanOrEqualTo | Quantity | Quantity | valence | subrelation | | (lessThanOrEqualTo ?NUMBER1 ?NUMBER2) is true just in case the Quantity ?NUMBER1 is less than or equal to the Quantity ?NUMBER2 | | (=>
(instance (MonthFn ?NUMBER ?YEAR) Month)
(lessThanOrEqualTo ?NUMBER 12))
| | RelationExtendedToQuantities |
| MaxFn | Quantity | Quantity | valence | subrelation | Quantity | (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))))
| | RelationExtendedToQuantities |
| MinFn | Quantity | Quantity | valence | subrelation | Quantity | (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))))
| | RelationExtendedToQuantities |
| MultiplicationFn | Quantity | Quantity | valence | subrelation | Quantity | If ?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 | RelationExtendedToQuantities |
| ReciprocalFn | | Quantity | rangeSubclass | inverse | Quantity | (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 | | (equal 1 (MultiplicationFn ?NUMBER (ReciprocalFn ?NUMBER)))
| | UnaryFunction |
| RemainderFn | Quantity | Quantity | identityElement | distributes | Quantity | (RemainderFn ?NUMBER ?DIVISOR) is the remainder of the number ?NUMBER divided by the number ?DIVISOR. The result has the same sign as ?DIVISOR | | (=>
(instance ?NUMBER OddInteger)
(equal (RemainderFn ?NUMBER 2) 1))
| | RelationExtendedToQuantities |
| RoundFn | | Quantity | rangeSubclass | inverse | Quantity | (RoundFn ?NUMBER) is the Integer closest to ?NUMBER on the number line. If ?NUMBER is halfway between two Integers (for example 3.5), it denotes the larger Integer | | (=>
(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)))))
| | UnaryFunction |
| SubtractionFn | Quantity | Quantity | valence | subrelation | Quantity | 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
(MeasureFn ?NUMBER Celsius)
(MeasureFn (SubtractionFn ?NUMBER 273.15) Kelvin))
| 0 | RelationExtendedToQuantities |
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