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# 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.

## Ontologie

SUMO / NUMERIC-FUNCTIONS

## Class(es)

 třída

inheritable relation

binární funkce
 asociativní funkce
 třída

inheritable relation

relace rozšířená na veličiny

division fn

## Související termín(y)

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

## Typy argumentů

veličina DivisionFn(veličina, veličina)

## 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.

## Axiomy (10)

Jestliže number je instancí třídy racionální číslo, potom existují celé číslo int1,celé číslo int2 tak, že number se rovná "int1/int2".
```(=>
(instance ?NUMBER RationalNumber)
(exists
(?INT1 ?INT2)
(and
(instance ?INT1 Integer)
(instance ?INT2 Integer)
(equal
?NUMBER
(DivisionFn ?INT1 ?INT2)))))```

"number1 mod number2" se rovná number tehdy a jen tehdy pokud "(""floor fn(number1/number2)"*number2"+number)" se rovná number1.
```(<=>
(equal
(RemainderFn ?NUMBER1 ?NUMBER2)
?NUMBER)
(equal
(MultiplicationFn
(FloorFn
(DivisionFn ?NUMBER1 ?NUMBER2))
?NUMBER2)
?NUMBER)
?NUMBER1))```

Jestliže degree je instancí třídy jednotka plošného úhlu, potom "tangent fn(degree)" se rovná ""sine fn(degree)"/"cosine fn(degree)"".
```(=>
(instance ?DEGREE PlaneAngleMeasure)
(equal
(TangentFn ?DEGREE)
(DivisionFn
(SineFn ?DEGREE)
(CosineFn ?DEGREE))))```

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

Jestliže number je instancí třídy reálné číslo, potom "number celsius degree(s)" se rovná """(number-)"/" fahrenheit degree(s)".
```(=>
(instance ?NUMBER RealNumber)
(equal
(MeasureFn ?NUMBER CelsiusDegree)
(MeasureFn
(DivisionFn
(SubtractionFn ?NUMBER 32)
1.8)
FahrenheitDegree)))```

Jestliže number je instancí třídy reálné číslo, potom "number quart(s)" se rovná ""number/" united states gallon(s)".
```(=>
(instance ?NUMBER RealNumber)
(equal
(MeasureFn ?NUMBER Quart)
(MeasureFn
(DivisionFn ?NUMBER 4)
UnitedStatesGallon)))```

Jestliže number je instancí třídy reálné číslo, potom "number pint(s)" se rovná ""number/" quart(s)".
```(=>
(instance ?NUMBER RealNumber)
(equal
(MeasureFn ?NUMBER Pint)
(MeasureFn
(DivisionFn ?NUMBER 2)
Quart)))```

Jestliže number je instancí třídy reálné číslo, potom "number cup(s)" se rovná ""number/" pint(s)".
```(=>
(instance ?NUMBER RealNumber)
(equal
(MeasureFn ?NUMBER Cup)
(MeasureFn
(DivisionFn ?NUMBER 2)
Pint)))```

Jestliže number je instancí třídy reálné číslo, potom "number ounce(s)" se rovná ""number/" cup(s)".
```(=>
(instance ?NUMBER RealNumber)
(equal
(MeasureFn ?NUMBER Ounce)
(MeasureFn
(DivisionFn ?NUMBER 8)
Cup)))```

Jestliže number je instancí třídy reálné číslo, potom "number angular degree(s)" se rovná ""number*"pi/"" radian(s)".
```(=>
(instance ?NUMBER RealNumber)
(equal
(MeasureFn ?NUMBER AngularDegree)
(MeasureFn
(MultiplicationFn
?NUMBER
(DivisionFn Pi 180))