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# 與量關係 (RelationExtendedToQuantities)

A RelationExtendedToQuantities is a Relation that, when it is true on a sequence of arguments that are RealNumbers, it is also true on a sequence of ConstantQuantites with those magnitudes in some unit of measure. For example, the lessThan relation is extended to quantities. This means that for all pairs of quantities quantity1 and quantity2, (lessThan quantity1 quantity2) if and only if, for some number1, number2, and unit, quantity1 = (MeasureFn number1 unit), quantity2 = (MeasureFn number2 unit), and (lessThan number1 number2), for all units unit on which quantity1 and quantity2 can be measured. Note that, when a RelationExtendedToQuantities is extended from RealNumbers to ConstantQuantities, the ConstantQuantities must be measured along the same physical dimension.

## Ontology

SUMO / BASE-ONTOLOGY

 種類

可繼承關係

與量關係

 實體

抽象的

關係

與量關係

## Related WordNet synsets

See more related synsets on a separate page.

## Axioms (2)

```(=>
(and
(instance ?REL RelationExtendedToQuantities)
(instance ?REL TernaryRelation)
(instance ?NUMBER1 RealNumber)
(instance ?NUMBER2 RealNumber)
(holds ?REL ?NUMBER1 ?NUMBER2 ?VALUE))
(forall
(?UNIT)
(=>
(instance ?UNIT UnitOfMeasure)
(holds
?REL
(MeasureFn ?NUMBER1 ?UNIT)
(MeasureFn ?NUMBER2 ?UNIT)
(MeasureFn ?VALUE ?UNIT)))))```

```(=>
(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)))))```