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Entity > Abstract > Quantity > PhysicalQuantity > ConstantQuantity > PlaneAngleMeasure > Radian
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Radian comparison table
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PlaneAngleMeasure A ConstantQuantity is a PhysicalQuantity which has a constant value, e.g. 3 meters and 5 hours. The magnitude (see MagnitudeFn) of every ConstantQuantity is a RealNumber. ConstantQuantities are distinguished from FunctionQuantities, which map ConstantQuantities to other ConstantQuantities. All ConstantQuantites are expressed with the BinaryFunction MeasureFn, which takes a Number and a UnitOfMeasure as arguments. For example, 3 Meters can be expressed as (MeasureFn 3 Meter). ConstantQuantities form a partial order (see PartialOrderingRelation) with the lessThan relation, since lessThan is a RelationExtendedToQuantities and lessThan is defined over the RealNumbers. The lessThan relation is not a total order (see TotalOrderingRelation) over the class ConstantQuantity since elements of some subclasses of ConstantQuantity (such as length quantities) are incomparable to elements of other subclasses of ConstantQuantity (such as mass quantities)ConstantQuantitymeasureTangentFn
(instance ?FUNCTION UnaryConstantFunctionQuantity)
(domain ?FUNCTION 1 ConstantQuantity)
(range ?FUNCTION ConstantQuantity)))
SystemeInternationalUnit The Class of Systeme International (SI) unitsUnitOfMeasureMeasureFnSubtractionFn
(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)))))
RadianSystemeInternationalUnitSI PlaneAngleMeasure. Symbol: rad. It is the angle of a circle subtended by an arc equal in length to the circle's radius. Another definition is: the plane angle between two radii of a circle which cut off on the circumference an arc equal in length to the radius. Radian = m/m = 1 MeasureFnTangentFn
(MeasureFn ?NUMBER AngularDegree)
(MeasureFn (MultiplicationFn ?NUMBER (DivisionFn Pi 180)) Radian))

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