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# floor fn (FloorFn)

(FloorFn number) returns the largest Integer less than or equal to the RealNumber number.

## Ontologie

SUMO / NUMERIC-FUNCTIONS

## Class(es)

 třída

inheritable relation

unární funkce

floor fn

## Související termín(y)

absolute value fn  abstraction fn  arc cosine fn  arc sine fn  arc tangent fn  back fn  begin fn  begin node fn  cardinality fn  ceiling fn  complement fn  cosine fn  cut set fn  denominator fn  end fn  end node fn  extension fn  front fn  future fn  generalized intersection fn  generalized union fn  giga fn  imaginary part fn  immediate future fn  immediate past fn  initial node fn  integer square root fn  kilo fn  list length fn  magnitude fn  mega fn  micro fn  milli fn  minimal cut set fn  nano fn  numerator fn  organization fn  past fn  path weight fn  pico fn  power set fn  predecessor fn  principal host fn  probability fn  property fn  rational number fn  real number fn  reciprocal fn  round fn  signum fn  sine fn  skin fn  square root fn  successor fn  tangent fn  tera fn  terminal node fn  wealth fn  when fn  year fn

## Typy argumentů

celé číslo FloorFn(reálné číslo)

## Related WordNet synsets

See more related synsets on a separate page.

## Axiomy (3)

Jestliže "floor fn(number)" se rovná int, potom neexistuje celé číslo otherint tak, že otherint je menší než nebo roven number a otherint je větší než int.
```(=>
(equal
(FloorFn ?NUMBER)
?INT)
(not
(exists
(?OTHERINT)
(and
(instance ?OTHERINT Integer)
(lessThanOrEqualTo ?OTHERINT ?NUMBER)
(greaterThan ?OTHERINT ?INT)))))```

"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))```

```(=>
(equal
(RoundFn ?NUMBER1)
?NUMBER2)
(or
(=>
(lessThan
(SubtractionFn
?NUMBER1
(FloorFn ?NUMBER1))
0.5)
(equal
?NUMBER2
(FloorFn ?NUMBER1)))
(=>
(greaterThanOrEqualTo
(SubtractionFn
?NUMBER1
(FloorFn ?NUMBER1))
0.5)
(equal
?NUMBER2
(CeilingFn ?NUMBER1)))))```