Select language: english | cesky | deutsch | italiano | simplified chinese | traditional chinese | hindi Concept: English word: Home

# division fn (DivisionFn)

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.

## Ontology

SUMO / NUMERIC-FUNCTIONS

## Class(es)

 class

inheritable relation

binary function
 associative function
 class

inheritable relation

relation extended to quantities

division fn

## Coordinate term(s)

addition fn  day fn  density fn  edition fn  exponentiation fn  graph path fn  hour fn  intersection fn  interval fn  kappa fn  list concatenate fn  list order fn  log fn  max fn  maximal weighted path fn  measure fn  mereological difference fn  mereological product fn  mereological sum fn  min fn  minimal weighted path fn  minute fn  month fn  multiplication fn  periodical issue fn  reciprocal fn  recurrent time interval fn  relative complement fn  relative time fn  remainder fn  round fn  second fn  series volume fn  speed fn  subtraction fn  temporal composition fn  time interval fn  union fn  where fn  equal  greater than  greater than or equal to  less than  less than or equal to

## Type restrictions

quantity DivisionFn(quantity, quantity)

## Related WordNet synsets

division
an arithmetic operation that is the inverse of multiplication; the quotient of two numbers is computed

See more related synsets on a separate page.

## Axioms (10)

If number is an instance of rational number, then there exist integer int1,integer int2 so that number is equal to "int1/int2".
```(=>
(instance ?NUMBER RationalNumber)
(exists
(?INT1 ?INT2)
(and
(instance ?INT1 Integer)
(instance ?INT2 Integer)
(equal
?NUMBER
(DivisionFn ?INT1 ?INT2)))))```

"number1 mod number2" is equal to number if and only if "(""the largest integer less than or equal to "number1/number2""*number2"+number)" is equal to number1.
```(<=>
(equal
(RemainderFn ?NUMBER1 ?NUMBER2)
?NUMBER)
(equal
(MultiplicationFn
(FloorFn
(DivisionFn ?NUMBER1 ?NUMBER2))
?NUMBER2)
?NUMBER)
?NUMBER1))```

If degree is an instance of plane angle measure, then "the tangent of degree" is equal to ""the sine of degree"/"the cosine of degree"".
```(=>
(instance ?DEGREE PlaneAngleMeasure)
(equal
(TangentFn ?DEGREE)
(DivisionFn
(SineFn ?DEGREE)
(CosineFn ?DEGREE))))```

is an identity element of division fn.
`(identityElement DivisionFn 1)`

If number is an instance of real number, then "number celsius degree(s)" is equal to """(number-)"/" fahrenheit degree(s)".
```(=>
(instance ?NUMBER RealNumber)
(equal
(MeasureFn ?NUMBER CelsiusDegree)
(MeasureFn
(DivisionFn
(SubtractionFn ?NUMBER 32)
1.8)
FahrenheitDegree)))```

If number is an instance of real number, then "number quart(s)" is equal to ""number/" united states gallon(s)".
```(=>
(instance ?NUMBER RealNumber)
(equal
(MeasureFn ?NUMBER Quart)
(MeasureFn
(DivisionFn ?NUMBER 4)
UnitedStatesGallon)))```

If number is an instance of real number, then "number pint(s)" is equal to ""number/" quart(s)".
```(=>
(instance ?NUMBER RealNumber)
(equal
(MeasureFn ?NUMBER Pint)
(MeasureFn
(DivisionFn ?NUMBER 2)
Quart)))```

If number is an instance of real number, then "number cup(s)" is equal to ""number/" pint(s)".
```(=>
(instance ?NUMBER RealNumber)
(equal
(MeasureFn ?NUMBER Cup)
(MeasureFn
(DivisionFn ?NUMBER 2)
Pint)))```

If number is an instance of real number, then "number ounce(s)" is equal to ""number/" cup(s)".
```(=>
(instance ?NUMBER RealNumber)
(equal
(MeasureFn ?NUMBER Ounce)
(MeasureFn
(DivisionFn ?NUMBER 8)
Cup)))```

If number is an instance of real number, then "number angular degree(s)" is equal to ""number*"pi/"" radian(s)".
```(=>
(instance ?NUMBER RealNumber)
(equal
(MeasureFn ?NUMBER AngularDegree)
(MeasureFn
(MultiplicationFn
?NUMBER
(DivisionFn Pi 180))