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# reciprocal fn (ReciprocalFn)

(ReciprocalFn number) is the reciprocal element of number with respect to the multiplication operator (MultiplicationFn), i.e. 1/number. Not all numbers have a reciprocal element. For example the number 0 does not. If a number number has a reciprocal recip, then the product of number and recip will be 1, e.g. 3*1/3 = 1. The reciprocal of an element is equal to applying the ExponentiationFn function to the element to the power -1.

## Ontology

SUMO / NUMERIC-FUNCTIONS

## Class(es)

 Classe

inheritable relation

FunzioneUnaria
 Classe

inheritable relation

RelazioneEstesaAQuantitá

reciprocal fn

## Coordinate term(s)

absolute value fn  abstraction fn  addition 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  division fn  end fn  end node fn  exponentiation fn  extension fn  floor 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  max fn  mega fn  micro fn  milli fn  min fn  minimal cut set fn  multiplication 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  remainder fn  round fn  signum fn  sine fn  skin fn  square root fn  subtraction fn  successor fn  tangent fn  tera fn  terminal node fn  wealth fn  when fn  year fn  equal  greater than  greater than or equal to  less than  less than or equal to

## Type restrictions

Quantitá ReciprocalFn(Quantitá)

## Related WordNet synsets

inverse, reciprocal
(math) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the inverse of 7 is 1/7

## Axioms (2)

Se number é un' istanza di Quantitá, allora "il reciproco di number" is uguale a "number elevato a potenza ".
```(=>
(instance ?NUMBER Quantity)
(equal
(ReciprocalFn ?NUMBER)
(ExponentiationFn ?NUMBER -1)))```

Se number é un' istanza di Quantitá, allora is uguale a "number*"il reciproco di number"".
```(=>
(instance ?NUMBER Quantity)
(equal
1
(MultiplicationFn
?NUMBER
(ReciprocalFn ?NUMBER))))```