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# floor fn (FloorFn)

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

## Ontology

SUMO / NUMERIC-FUNCTIONS

## Class(es)

 Classe

inheritable relation

FunzioneUnaria

floor fn

## Coordinate term(s)

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

## Type restrictions

NumeroIntero FloorFn(NumeroReale)

## Related WordNet synsets

See more related synsets on a separate page.

## Axioms (3)

Se "the il maggior numero intero minore o uguale a number" is uguale a int, allora non esiste NumeroIntero otherint tale che otherint é minore o uguale a number e otherint é più grande di int.
```(=>
(equal
(FloorFn ?NUMBER)
?INT)
(not
(exists
(?OTHERINT)
(and
(instance ?OTHERINT Integer)
(lessThanOrEqualTo ?OTHERINT ?NUMBER)
(greaterThan ?OTHERINT ?INT)))))```

"number1 mod number2" is uguale a number se e solo se "(""the il maggior numero intero minore o uguale a "number1/number2""*number2"+number" is uguale a number1.
```(<=>
(equal
(RemainderFn ?NUMBER1 ?NUMBER2)
?NUMBER)
(equal
(AdditionFn
(MultiplicationFn
(FloorFn
(DivisionFn ?NUMBER1 ?NUMBER2))
?NUMBER2)
?NUMBER)
?NUMBER1))```

• se "number1 arrotondato" is uguale a number2,
• allora
• se "(number1-"the il maggior numero intero minore o uguale a number1"" é meno di, allora number2 is uguale a "the il maggior numero intero minore o uguale a number1"
• o
• se "(number1-"the il maggior numero intero minore o uguale a number1"" é più grande di o uguale a , allora number2 is uguale a "il tetto di 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)))))```