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# relation extended to quantities (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

## Class(es)

 class

inheritable relation

relation extended to quantities

## Superclass(es)

 entity

abstract

relation

relation extended to quantities

## Instance(s)

equal  less than  greater than  less than or equal to  greater than or equal to  multiplication fn  addition fn  subtraction fn  division fn  exponentiation fn  max fn  min fn  reciprocal fn  remainder fn  round fn

## Coordinate term(s)

binary function  binary predicate  binary relation  case role  function  intentional relation  list  object attitude  partial valued relation  predicate  probability relation  propositional attitude  quaternary function  quaternary predicate  quaternary relation  quintary predicate  quintary relation  single valued relation  spatial relation  temporal relation  ternary function  ternary predicate  ternary relation  total valued relation  unary function  variable arity relation

## 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)))))```